Answer:
1. 25
Step-by-step explanation:
First, you need to place the numbers in ascending order, meaning from smallest to largest.
You calculate the range by taking the largest number and subtract the smallest from it, so in this case: 42-17 = 25
Mean (average), just add the numbers up and divide by how many numbers you have
III. Once you find the Mean and you placed them in order from smallest to largest, you can find this answer
Median (middle) - which number is in the middle so after you place them in order which is in the middle if you have an odd number of marks, but since you have 12 marks then take the 2 center numbers, add them up, and divide by 2, in other words, get the mean of the middle numbers and that will give you the median in this problem
Mode, which number appears the most times repeated
Answer:
i. 25 (range = the difference between the highest and lowest number)
ii. 30.41 (mean = sum of all numbers divided by the how many numbers there are)
iii. 6
iv. 35
v. 35
if 2 students are chosen randomly, what is the probability that at least 1 is taking a language class?
The probability that at least one student is enrolled in a language class is 0.84, or nearly 84%.
To find the probability that at least one of the two students is taking a language class, we need to find the probability that both students are NOT taking a language class and subtract it from 1.
Let's assume that there are 100 students in the school, and 60 of them are taking a language class. Then, the probability of a student being NOT in a language class is 40/100 = 2/5.
The probability that both students are NOT taking a language class would be (2/5) * (2/5) = 4/25.
1 - 4/25 = 21/25 = 0.84 or 84%
Probability is a branch of mathematics that deals with the study of the likelihood or chance of an event occurring. It involves measuring the likelihood of different outcomes of a given situation or event. Probability is often represented as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that it is certain.
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Someone please help and show work!! I will also mark brainliest. I’ll appreciate it.
Answer:
1. 53
2. 20
3. 37
4. 29
Step-by-step explanation:
Since your trying to find the hypotenuse you equation is...
1. 28^2 + 45^2 = C^2
784 + 2025 = C^2
Square Root 2809= C^2
C=53
So after you square root 2809 you get 53.
2. 12^2 + 16^2 = C^2
144 + 256 = C^2
Square Root 400 = C^2
C=20
So after you square root 400 you get 40.
3. 12^2 + 35^2 = C^2
144 + 1225 = C^2
Square Root 1369 = C^2
C=37
So after you square root 1359 you get 37.
4. 20^2 + 21^2 = C^2
400 + 441 = C^2
Square root 841 = C^2
C=20
So after you square root 841 you get 29.
Anybody got an answer for this
Answer:
11
Step-by-step explanation:
brainliest me pls
4. Encuentra dos sistemas de ecuaciones lineales
que tengan como solución el punto dado
Recuerda: para que un punto pertenezca a la
recta, reemplazas las coordenadas en la ecuación
a) (-2,1)
b) 3,-2
c) 0,5; -1)
d) (0,4
Answer:
ggghyhjjudeieikwkkskkskskkskkkwkkskskdkejjsjsuusuydueujejekkekejjje
The system of equations for each point are mentioned below.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is to find two systems of linear equations that have the given point as a solution.
For the point (- 2, 1), we can write the system of equations as -
1 = - 2m₁ + c₁
1 = - 2m₂ + c₂
For the point (3, - 2), we can write the system of equations as -
- 2 = 3m₁ + c₁
- 2 = 3m₂ + c₂
For the point (0.5, 1), we can write the system of equations as -
1 = (1/2)m₁ + c₁
1 = (1/2)m₂ + c₂
For the point (0, 4), we can write the system of equations as -
4 = c₁
4 = c₂
Therefore, the system of equations for each point are mentioned above.
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{Translation in english -
Find two systems of linear equations
that have the given point as a solution
Remember: for a point to belong to the
line, plug the coordinates into the equation
a) (-2.1)
b) 3,-2
c) 0.5; -1)
d) (0.4)
}
Please help correct answer gets brainliest.
Answer:
C. The charge of each minute of a call is $0.40
Step-by-step explanation:
We look at the point (1, 0.4)
We know that our x = 1 is 1 minute of the call.
We know that y = 0.4 is the cost when 1 minute of the call has elapsed.
Therefore, our answer is C.
Answer:
Step-by-step explanation:
The answer is (c)
The price goes up $0.40 every minute Greg is on a call.
Clark Property Management is responsible for the maintenance, rental, and day-to-day operation of a large apartment complex on the east side of New Orleans. George Clark is especially concerned about the cost projections for replacing air conditioner compressors. He would like to simulate the number of compressor failures each year over the next 20 years. Using data from a similar apartment building he manages in a New Orleans suburb, Clark establishes a table of relative frequency of failures during a year as shown in the following table:
NUMBER OF A.C. COMPRESSOR FAILURES PROBABILITY (RELATIVE FREQUENCY)
0 0.06
1 0.13
2 0.25
3 0.28
4 0.20
5 0.07
6 0.01
He decides to simulate the 20-year period by selecting two-digit random numbers from the random number table.
Conduct the simulation for Clark. Is it common to have three or more consecutive years of operation with two or fewer compressor failures per year?
The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.
Clark Property Management should expect to experience some consecutive years with higher compressor failure rates.
Let X represent the number of AC compressor failures. Thus, the probability distribution of X is as follows :
Number of Compressor Failures Probability (Relative Frequency)
0 0.061 0.132 0.253 0.284 0.205 0.076 0.01.
We will select two-digit random numbers from a table of random numbers. We will simulate 20 years of compressor failure.
As a result, there will be a total of 20 values of X, each representing a year's worth of data.
We may now determine whether it is typical to have three or more consecutive years with two or fewer compressor failures per year.
The Monte Carlo simulation is used to complete this task. We may use an online random number generator if a table of random numbers is not available.
Monte Carlo simulation is a statistical modeling method that employs random sampling techniques to simulate the output of a complicated system.
It is a stochastic modeling technique that allows for uncertainty and risk evaluation in complex systems where deterministic methods are insufficient.
Monte Carlo simulation generates random input values for a system with a mathematical model, allowing it to calculate possible outcomes.
These results are then used to generate probability distributions of potential results.
In essence, the Monte Carlo simulation is an experiment conducted on a computer that provides insight into the degree of risk related to decision-making.
1. Set up a model: Determine the system and create a mathematical model that will be utilized in the Monte Carlo simulation.
2. Define input values: Identify the variables that will affect the model's output and define input probability distributions for each.
3. Generate random numbers: Using the input probability distributions, generate random numbers for each variable
4. Run simulations: Run a large number of simulations using the random numbers generated in step 3.
5. Analyze the results: Using the outputs of the Monte Carlo simulation, estimate potential outcomes and the likelihood of different results.
6. Make decisions: Use the data and insights obtained from the Monte Carlo simulation to inform your decision-making.
After conducting the Monte Carlo simulation, it was determined that it is unusual to have three or more consecutive years with two or fewer compressor failures per year.
The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.
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HELP PLEASE! Answer question in screenshot!
*hint* (its not A because when I tried putting it as an answer I got it wrong!)
and please give an explanation!
Thank you!
The most appropriate model to represent the data in the table is (d)
How to determine the most appropriate modelFrom the question, we have the following parameters that can be used in our computation:
The table of values
In the above table of values, we can see that
x = Number of daysy = Miles drivenTo show as the number of miles change by day
A linear or line graph has to be plotted
Hence, the most appropriate model to represent the data is (d)
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the picture below shows the shape of a design painted on the side of a building. The design was formed by combining triangles and rectangles.
What is the area of the wall covered by the design?
Therefore , the solution of the given problem of surface area comes out to be 212 square feet of the wall are therefore covered by the design.
What exactly does an area mean?The total size of the object can be determined by calculating how much room would be required to completely cover its exterior. When choosing a similar product with a cylindrical form, the environment is taken into account. Anything's total dimensions are determined by its surface area. The amount of water that a cuboid can hold depends on the number of sides that link its four trapezoidal shapes.
Here,
We must first determine the area of each individual form before adding them together to determine the portion of the wall that the design covers.
Taking a look at the rectangle first, we can observe that it has the following area:
=> 120 square feet= 10 feet x 12 feet.
=> 40 square feet = (1/2)(10 ft)(8 ft).
Consequently, the two triangles' combined area is:
=> 80 square feet = 2 x 40 square feet.
=> (12 square feet) = (1/2)(6 ft)(4 ft).
The total area of all the shapes is as follows:
=> 212 square feet= 120 square feet, 80 square feet, and 12 square feet.
=> 212 square feet of the wall are therefore covered by the design.
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Answer: the answer is 261 ^2 ft!
Step-by-step explanation:
(a) Graph a linear function of your choice. On the same graph, graph a linear function transformed 2 units up and 3 units down.
(b) What was the equation of your linear function in slope-intercept form?
(c) What was the equation of the transformed function in slope-intercept form?
(a) The graph of the linear functions is as attached.
(b) The equation of the linear function in slope-intercept form is; y = x
(c) The equation of the transformed function in slope-intercept form is;
y = x + 2 and y = x - 3
How to interpret the graph of a Linear Function?
Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.
x is the independent variable.
y is the dependent variable.
If the linear function is; y = x,
The equation of the transformation in slope-intercept form is given as;
For translation of 2 units up, we have;
y = x + 2
For a translation of 3 units down, we have;
y = x - 3
Thus, the required graph has been attached and the solution is determined.
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If 3x+2=7(3-x), find the value of 26-x-4
Answer:
20.1Step-by-step explanation:
3x + 2 = 7(3 - x)
3x + 2 = 21 - 7x
3x + 7x = 21 - 2
10x = 19
x = 1.9
\(26-x-4 = 26 - 1.9 -4 = 20.1\)
Which pair of functions represents a decomposition of f(g(x)) = | 2(x + 1)^2 + (x + 1) | ?
A) f(x) = (x + 1)^2 and g(x) = | 2x + 1 |
B) f(x) = (x + 1) and g(x) = | 2x^2 + x |
C) f(x) = | 2x + 1 | and g(x) = (x + 1)^2
D) f(x) = | 2x^2 + x | and g(x) = (x + 1)
Answer:
\(\Large \boxed{\mathrm{\bold{D.}} \ f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)}\)
Step-by-step explanation:
\(f(g(x)) = | 2(x + 1)^2 + (x + 1) |\)
The first option :
\(f(x) = (x + 1)^2 \ \mathrm{and} \ g(x) = | 2x + 1 |\)
\(f(g(x))=(|2x+1|+1)^2\)
The second option :
\(f(x) = (x + 1) \ \mathrm{and} \ g(x) = | 2x^2 + x |\)
\(f(g(x))=(|2x^2 +x|+1)\)
The third option :
\(f(x) = | 2x + 1 | \ \mathrm{and} \ g(x) = (x + 1)^2\)
\(f(g(x))=|2(x+1)^2 +1 |\)
The fourth option :
\(f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)\)
\(f(g(x))= | 2(x + 1)^2 + (x + 1) |\)
Answer:
D
Step-by-step explanation:
2) Waren dividing the polynomial p(,) = 6n? - 27n2 +41 +36 by(r - 4), the remainder can be
determinded by evaluationg p[4). What is the value of this remainder?
A) p(3)=9
B) p(3)= -9 C) p(3)= -4 D) p(3)=4
Answer:
what is a polynomial.What is evaluationg cuz that is what u put in ur question.
Step-by-step explanation:
Need help again ?!???
Answer:
11.47
Step-by-step explanation:
Use SohCahToa. In this problem, you are given the hypotenuse and you are trying to solve for the adjacent side so it will be cosine. (cosine = \(\frac{adjacent}{hypotenuse}\))
1. set up the equation
cos55 = \(\frac{x}{20}\)
2. Multiply both sides by 20 to solve for x
20 · cos55 = 11.47
Answer:
11.47Solution,
From the figure,
\(cos \: 55 = \frac{PQ}{PR} \)
\(cos \: 55 = \frac{PQ}{20} \)
\(PQ = 20 \: cos \: 55\)
\(PQ= 11.472\)
\(PQ= 11 .47\)
Hope this helps...
Good luck on your assignment...
6sin^2 (x) + 6sin (x) + 1 = 0
solve and show steps for the graph ( i already have the graph )
To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.
1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.
2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.
3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.
4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.
5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].
6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.
7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.
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In a simple linear regression based on 30 observations, it is found that SSE- 2,540 and SST- 13,870 a. Calculate and se (Round your answers to 2 decimal places.) 5 b. Calculate the coefficient of determinationR. (Round your answer to 4 decimal places.) Coefficient of Determination
To calculate the standard error of estimate (SE), we can use the following formula:
SE = sqrt(SSE / (n-2))
where SSE is the sum of squared errors, and n is the number of observations.
Substituting the given values, we get:
SE = sqrt(2,540 / (30-2)) = 5.49
Therefore, the standard error of estimate is 5.49 (rounded to 2 decimal places).
b. The coefficient of determination (R-squared) is given by the ratio of the explained variation (SSR) to the total variation (SST):
R² = SSR / SST
where SSR is the sum of squared regression, and SST is the total sum of squares.
Since this is a simple linear regression, we have:
SST = SSR + SSE
where SSE is the sum of squared errors.
Substituting the given values, we get:
SST = 13,870
SSE = 2,540
Therefore, we can calculate SSR as:
SSR = SST - SSE = 13,870 - 2,540 = 11,330
Substituting these values into the formula for R-squared, we get:
R²= SSR / SST = 11,330 / 13,870 = 0.8188
Therefore, the coefficient of determination (R-squared) is 0.8188 (rounded to 4 decimal places). This means that 81.88% of the variation in the dependent variable (y) can be explained by the linear regression model with the independent variable (x).
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A sum of money is to be divided between Alyah, Byron and Cecil. Alyah receives $1 plus one-third of what is left. Byron then receives $6 plus one-third of what remains. Cecil receives the rest, which amounts to $40. How much did Byron receive? (A) $26 (B) $28 (C) $30 (D) $32 (E) $34
Answer:
(A) $26
Step-by-step explanation:
You want to know the amount Byron received from the distribution to Alyah, Byron, and Cecil, given Cecil received $40.
SetupLet x represent the amount being distributed, and a, b, c represent the amounts received by Alyah, Byron, and Cecil, respectively.
The given relations tell us ...
a = 1 + 1/3(x -1)
b = 6 + 1/3(x -a -6)
c = x -a -b = 40
SolutionSubstituting for b gives us ...
40 = x - a - (6 +1/3(x -a -6)) = x -a -6 -1/3x +1/3a +2 = 2/3x -2/3a -4
44 = 2/3(x -a) . . . . . . . add 4, factor out 2/3
66 = x -a . . . . . . . . . multiply by 3/2
Substituting for a gives us ...
66 = x -(1 +1/3(x -1)) = x -1 -1/3x +1/3 = 2/3x -2/3 = 2/3(x -1)
99 = x -1 . . . . . . . multiply by 3/2
100 = x . . . . . . add 1
DistributionThen ...
a = 1 + 1/3(100 -1) = 1 + 99/3 = 34
b = 6 + 1/3(100 -34 -6) = 6 + 1/3(60) = 26
Byron received $26.
__
Additional comment
Based on results, the "what is left" is the amount after the $1 or $6 distributions are made.
Alyah: $34, Byron: $26, Cecil: $40, for a total of $100.
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an angle measures 15.8° less than the measure of its supplementary angle. what is the measure of each angle?
Answer:
Step-by-step explanation:
The angle and its supplementary angle have a difference of 15.8°. To find the measures, we need to solve an equation.
Let's assume the measure of the angle is x°. The measure of its supplementary angle would be (180° - x°). According to the given information, x° = (180° - x°) - 15.8°.
Simplifying the equation, we have:
x° = 180° - x° - 15.8°
2x° = 164.2°
x° = 82.1°
Therefore, the angle measures 82.1° and its supplementary angle measures (180° - 82.1°) = 97.9°. The difference between these angles is indeed 15.8°, as stated in the problem.
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Determine whether each ordered pair is a solution or not a solution to this system of inequalities.
y< −x
2x+y>2
The ordered pair that is the solution of the given system of inequalities is (2, -2)
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,
The inequalities are,
y < -x....(i)
2x+y > 2
y < 2-2x...(ii)
To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =
-x = 2 - 2x
x = 2
y = -2
Therefore, the ordered pair, is (2, -2) {look at the graph attached}
Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)
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What is the value of k in the equation StartFraction k Over 3 EndFraction minus 5 = 34?
A. 11 and one-third
1B. 3
C. 102
D. 117
Answer:
I think the answer is d
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
How to calculate the volume of water in your pool?
Answer:
Step-by-step explanation:
The volume of water in a pool can be calculated using the following formula:
Volume (in gallons) = Length (in feet) x Width (in feet) x Average Depth (in feet) x 7.5
For example, if your pool is 20 feet long, 15 feet wide, and has an average depth of 5 feet, the volume of water in your pool would be:
20 x 15 x 5 x 7.5 = 5625 gallons
Note: If you prefer metric units, the formula for volume in liters would be:
Volume (in liters) = Length (in meters) x Width (in meters) x Average Depth (in meters) x 1000
It's important to note that this formula assumes a standard rectangular or square pool shape. If your pool has a more complex shape, you may need to measure the volume in smaller sections and add the volumes together to get the total volume.
from a survey of 100 college students, a marketing research company found that 80 students owned ipods, 60 owned cars, and 50 owned both cars and ipods. (a) how many students owned either a car or an ipod (but not both)?
how many students owned either a car or an ipod (but not both): =100−90=10
What is union of sets?
Union of two given sets is the littlest set which contains every one of the components of both the sets.
What is intersection of sets?
Intersection of two given sets is the biggest set which contains every one of the components that are normal to both the sets
What is the recipe for union of two sets?
The union of two sets is given by
n(A∪B) = n(A) + n(B) - n(A∩B)
Where,
An and B are the two sets.
∪ is the union
∩ is the intersection.
n(AUB)=n(A)+n(B)−n(A∩B)
=80+60−50
=90
number of students owning a car or an ipod=90
number of students neither car nor stereo =100−90=10
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If f (x)=5x^3−44x^2 −13+36f(x)=5x 3 −44x 2 −13x+36 and x−9 is a factor of f (x), then find all of the zeros of f (x) algebraically.
On solving the above question, As a result, the polynomials f(x) zeros are x = 9 and x = 44/5.
what are polynomials?A polynomial is a mathematical statement composed of coefficients and variance that exclusively uses additions, subtractions, operations such as addition, and nonzero powers of variables. The form x2 4x + 7 indicates a single determinate x algebraic. A polynomial expression in mathematics is made up of determinants (also known as freshly made) and polynomials that may be multiplied, subtracted, repeated, and raised through negative integer ones of – anti. A polynomial is an algebraic statement that includes variables and coefficients. An expression can really only incorporate the operations addition, deletion, duplication, and non-negative integer factors. These expressions are referred to as polynomials.
If x - 9 is a factor of f(x), we get:
f(x) = (x - 9)g(x) (x)
g(x) denotes a polynomial.
When we plug this into the supplied f(x) equation, we get:
5x^3 - 44x^2 - 13x + 36 = (x - 9)g (x)
Using polynomial long division to expand the right side, we get:
x(g(x)) = 5x3 - 44x2 - 13x + 36 - 9g(x) (x)
When we multiply the coefficients of similar terms on both sides, we get:
5 = g(x) (x)
-44 = g'(x) (x)
-13 = g''(x) (x)
36 = -9g''(x) (x)
When we solve these equations, we get:
5 g'(x) = -44 g"(x) = -13/2 g"'(x) = -12
Hence, g(x) is a constant function, and g'(x) = -44 suggests that x = 44/5 is the sole real root of g(x).
As a result, the f(x) zeros are x = 9 and x = 44/5.
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The length of a rectangle should be 15 meters longer than 5 times the width. If the length must be between40 and 80 meters long, what are the restrictions for the width, y?Write the solution set as an algebraic inequality solved for the variable.
Let l be length and width be w
The length of a rectangle should be 15 meters longer than 5 times the width:
\(l=15+5w\)Length between 40 and 80, so:
\(\begin{gathered} l=15+5w \\ 40=15+5w \\ 5w=25 \\ w=\frac{25}{5} \\ w=5 \end{gathered}\)and
\(\begin{gathered} l=15+5w \\ 80=15+5w \\ 5w=65 \\ w=\frac{65}{5} \\ w=13 \end{gathered}\)Width in between 5 and 13.
\(5\leq y\leq13\)*20 POINTS* WILL MARK BRAINLIEST
Answer:
a)
\(r= \sqrt{ \frac{a}{\pi} } \)
b)
\(r≈15.2 \: m\)
Step-by-step explanation:
a)
\(a = \pi \times {r}^{2} \)
\( {r}^{2} = \frac{a}{\pi} \)
\(r > 0\)
\(r = \sqrt{ \frac{a}{\pi} } \)
b) Given:
A = 725,83 m^2
Find: r - ?
\(r = \sqrt{ \frac{a}{\pi} } = \sqrt{ \frac{725.83}{\pi} } ≈15.2\)
Which expression is equivalent to 9 x squared minus 2 y + 3 x squared minus 3 y? 6 x squared minus y + 6 x squared minus 5 y 6 x squared minus y + 3 x squared minus 4 y 10 x squared minus 4 y + 2 x squared minus y 11 x squared + 2 y + x squared minus 3 y
Answer:
10 x squared minus 4 y + 2 x squared minus y
Step-by-step explanation:
9x^2-2y+3x^2-3y
Collect like terms
9x^2+3x^2-2y-3y
=12x^2-5y
10 x squared minus 4 y + 2 x squared minus y
10x^2-4y+2x^2-y
Collect like terms
10x^2+2x^2-4y-y
=12x^2-5y
9x^2-2y+3x^2-3y is equivalent to
10x^2-4y+2x^2-y
Check all the options
6 x squared minus y + 6 x squared minus 5 y
6x^2-y+6x2-5y
12x^2-6y
6 x squared minus y + 3 x squared minus 4 y
6x^2-y+3x^2-4y
9x^2-5y
10 x squared minus 4 y + 2 x squared minus y
10x^2-4y+2x^2-y
12x^2-5y
11 x squared + 2 y + x squared minus 3 y
11x^2+2y+x^2-3y
12x^2-y
Answer:
C.) 12x squared- 2y- 3y
Step-by-step explanation:
i'm not 100 percent on this but it is the only logical answer, i will comment if i am right or not :) good luck luvs
this is the question I meant to post:
Find the value of x, please put an explanation
Answer:
x=36
Step-by-step explanation:
you would take 72 divided by 2 to get your answer
Answer:
Step-by-step explanation:
Ok, let's see how much I can do
So I don't know how to label the angles, but let's just say there are 2 angles at point B. One is already given. 72. Since a line is 180. We can find the other angle by subtraction: 180 - 72 = 108
And we can also tell that both angles at point D are equal as they are both represented by 2x.
Now by the looks of it, Line AC and DE are parallel so angle A and both the angles at point D are equal to each other. So triangle ABD is at least an isosceles triangle. Now because we know it's an isosceles triangle, we can now find the measure of triangle ABD.
72 + 2x + 2x = 180
72 + 4x = 180
4x = 108
x = 27
Factor x2−6x+8 (x+2)(x+6) (x−4)(x−2) (x−5)(x−3) (x+4)(x−4)
Answer:
(x-4) (x-2)
Step-by-step explanation:
x^2−6x+8
What 2 numbers multiply to 8 and add to -6
-4*-2 = -8
-4+-2 = -6
(x-4) (x-2)
Find the requested values.
R = 83°
T = 6h-8
S = 39°
Find value of h
m
Answer:
h = 11
Step-by-step explanation:
Sum of the angles in a Triangle = 180°, So;
\(83 + 39 + (6h - 8) = 180 \\ 122 - 8 + 6h = 180 \\ 114 + 6h = 180 \\ 6h = 180 - 114 \\ 6h = 66 \\ h = 66 \div 6 \\ h = 11\)
Find the area of the image below
Answer:
0 because there is no image....
If f(x) is differentiable for the closed interval [−3, 2] such that f(−3) = 4 and f(2) = 4, then there exists a value c, −3 < c < 2 such that
f(c) = 0
f '(c) = 0
f (c) = 5
f '(c) = 5
from the Mean Value Theorem that the opposite is also true. In particular, f(x) is constant over that interval if f′(x)=0 f ′ (x) = 0.
The slope of the function is 0.
f'(c) =0.
What does the mean value theorem states?The Mean Value Theorem states that there exists a point c in the interval (a,b) such that f'(c) equals the function's average rate of change over [a,b] if a function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b). from the Mean Value Theorem that the opposite is also true. In particular, f(x) is constant over that interval if f′(x)=0 f ′ (x) = 0 for all x in some interval I. This result might seem intuitively obvious, but it has significant unintended consequences that we briefly discuss.If f(x) is differentiable for the closed interval [−3, 2].
f(−3) = 4 and f(2) = 4.
because in order for the function to have two values of x where the function value is the same, it must have a point in the function where it is a max or min. Because it has a max or min, at that point, the slope of the function is 0, meaning that f'(x) = 0.
states that at that point that is a max or min, the slope of the function is 0.
f'(c) =0.
To learn more about : Mean Value Theorem
Ref : https://brainly.com/question/19052862
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