Answer:
x = -3Step-by-step explanation:
First let us get the equation of the coordinates
y-y0 = m(x-x0)
Using the coordinates ( - 3, 2 ), ( - 1, 0 )
m = 0-2/-1-(-3)
m = -2/2
m = -1
Substitute m = -1 and (-1, 0) into the formula
y - 0 = -1(x+1)
y = -x-1
f(x) = -x-1
Since f(x) = 2
2 = -x-1
-x = 2+1
-x = 3
x = -3
Hence the value of x is -3
Look at the figure. Find the value of x.
30
90
45
15
Answer: 15
Step-by-step explanation:
It's an Isosceles triangle meaning both sides are congruent (same)
So with that in mind we can make an equation making them equal to each other to find X.
3x = 5x - 30
Subtract 5x from both sides
-2x = -30
We can't have a negative x so we divide x by a negative
x = 15
Answer:15
Step-by-step explanation:
It's an Isosceles triangle meaning both sides are congruent (same)
So with that in mind we can make an equation making them equal to each other to find X.
3x = 5x - 30
Subtract 5x from both sides
-2x = -30
We can't have a negative x so we divide x by a negative
x = 15
An online movie streaming plan has no annual fee but charges $4.25 per movie watched. Another plan charges an annual fee of $36 plus $3.50 per movie watched. For how many movies is the cost of the plans the same?
? what is the ans of the question
Answer:
a. 12x+22, b. x = 9
Step-by-step explanation:
a. The perimiter in terms of x is 2((4x+8)+(2x+3)) = 12x+22
b. 12x+22=136, 12x=108, x=9
a. 12x+22, b. x = 9
Step-by-step explanation:
a. The perimiter in terms of x is 2((4x+8)+(2x+3)) = 12x+22
b. 12x+22=136, 12x=108, x=9
Which of these tables represents a non-linear function?
A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 20, 19, 18, 17.
A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 16, negative 17, negative 18, negative 19.
A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20.
A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 20, negative 19, negative 18, negative 17.
Answer:
we conclude that the table ''A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20'' represents a non-linear function.
Step-by-step explanation:
The nature of whether a function can be linear or non-linear, we must check how the x and y values of the table change. If the first difference between y-values remains the same (constant first difference), then the table will represent a linear function, otherwise not.
Given the x and y entries of the first table:
x y
17 20
18 19
19 18
20 17
From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.
i.e. 19-20=-1, 18-19=-1, 17-18=-1
Thus, this table represents a linear function.
Given the x and y entries of the second table:
x y
17 -16
18 -17
19 -18
20 -19
From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.
i.e. -17-(-16)=-1, -18-(-17)=-1, -19-(-18)=-1
Thus, this table represents a linear function.
Given the x and y entries of the second table:
x y
17 16
18 17
19 19
20 20
From the table, it is clear that as x constantly increases by 1 unit, but the y-values are not changing constantly. The first difference between y-values does not remain the same.
i.e. 17- 16 = 1, 19 - 17 = 2, 20 - 19 = 1
Thus, this table does not represent a linear function. Hence, it is a non-linear function.
Given the x and y entries of the second table:
x y
17 -20
18 -19
19 -18
20 -17
From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.
i.e. -19-(-20)=1, -18-(-19)=1, -17-(-18)=1
Thus, this table represents a linear function.
Therefore, we conclude that the table ''A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20'' represents a non-linear function.
Kuta Software - Infinite Algebra 1. Adding and Subtracting Polynomials. Simplify each expression. 1) (5p² − 3) + (2p² − 3p³). -3p³ +7p² - 3.
-6p³ + 14p² -6 is the final polynomial after all operations
In order to get final polynomial we nedd to complete all operations on different polynomials provided velow.
What is polynomials?A polynomial is a mathematical expression involving a sum of powers in one or more variables with real or complex coefficients. It is a type of algebraic expression which can be of degree 0,1,2,3,..n. It is represented by a letter such as "P" or "f", with one or more variables such as x, y, z, etc. and coefficients, which are numbers or constants. The degree of a polynomial is the highest power of the variable in it.
-3p³ - 3p³ + 5p² + 2p² + 7p² - 3 - 3
=> -6p³ + 14p² -6
so the required polynomial is -6p³ + 14p² -6 which is obtained after all the operation on the numbers.
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Solve the following problem: "Justin's car insurance has a $750 deductible per incident. This means that Justin pays $750 toward a claim, and his insurance pays all costs beyond $750. If Justin files a claim for $2100, how much will he pay, and how much will his insurance company pay?"
Answer:
$1350.
Step-by-step explanation:
If Justin files a claim for $2100, he will pay the first $750 toward the claim, and his insurance company will pay the remaining costs.
So, Justin will pay $750.
And, the insurance company will pay $2100 - $750 = $1350.
For cones with radius 6 units, the equation =12ℎ V = 12 π h =12ℎ V = 12 π h relates the height ℎ h ℎ h of the cone, in units, and the volume V V of the cone, in cubic units.
Answer:
Step-by-step explanation:
The question is not properly structured. Here is the complete question.
For cones with radius 6 units, the equation V=12\pi h relates the height h of the cone, in units, and the volume V of the cone, in cubic units. Sketch a graph of this equation on the axes.
The formula for calculating the volume of a cone is expressed as shown;
\(V = \frac{1}{3} \pi r^{2} h\) where r is the radius and h is the height.
Given radius r = 6units, on substituting;
\(V = \frac{1}{3}*\pi *6^{2}*h\\ V = \frac{36\pi h}{3}\\V = 12\pi h... (1)\)
It can be seen from the derived volume of the cone that it is linear in nature. The volume of the cone has a linear relationship with its height. As the volume increases, the height also increases and vice versa.
Generally for a direct variation
\(if\ y\ \alpha x \ \\y = kx\)
where k is the constant of proportionality. comparing to equation 1, k = 12π.
Find the graph attached
What is the expression after applying the distributive property?
−3.1(−9+(−7))
I need help please, I need the answer, I am not good at math :(
determine the order of the following differential equations and whether they are linear or non linear. 2nd order nonlinear 1. (1 y2)d2ydt2 tdydt y
(a) Linear differential equation of second order
(b) Linear differential equation of second order
(c) Linear differential equation of fourth order
(d) Non-linear differential equation of first order
(e) Non-linear differential equation of second order
(f) Linear differential equation of third order
(g) (a) and (d) are initial value problems
Differential equations are sometimes described as equations containing the derivatives of one or more dependent variables with respect to one or more independent variables. An ordinary differential equation is one that contains just one independent variable.The order of a differential equation is the highest differential coefficient.Degree is the power of the highest order derivative when the differential equation is in polynomial form.An initial value problem (IVP) in multivariable calculus is an ordinary differential equation with an initial condition that determines the value of the unknown function at a specific location in the domain.To learn more about calculus, visit :
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What is the quotient when the whole number 8 is divided by the fraction 1/6
Answer:
48
Step-by-step explanation:
You put 8/1 divided by 1/6 and multiply by the reciprocal. Then you get 8/1*6/1 which equals 48/1. 48/1 is equal to 48.
The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?
This question is incomplete
Complete Question
A baker uses 5.5 Ibs of flour daily
The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?
Answer:
51.3 loaves of bread
Step-by-step explanation:
Converting 5.5 Ibs to oz (ounces)
1 Ibs =>12 oz
5.5 Ibs => x
Cross Multiply
12 × 5.5 => 88 oz
1 loaf of bread =>12 oz
Hence, in 1 day
12 oz =>1 loaf of bread
88 oz => x
x =>88 oz/ 12 oz
x => 7.3333333333 loaves of bread
Hence, he can make 7.3333333333 loaves of bread in 1 day
Hence, in 7 days
1 day => 7.3333333333 loaves
7 days => x
x => 7 × 7.3333333333 loaves
x => 51.333333333 loaves of bread
Approximately => 51.3 loaves of bread
Given the quadrilateral with the following vertices a(-2,3) b(-2,6) c(-6,-1) and d (-6,2). is the quadrilateral a parallelogram?
The quadrilateral is a parallelogram.
Properties of parallelogram,
a>The opposite sides of the parallelogram are equal and parallel.
b>parallel lines have an equal slope.
Let now find the length of the opposite side of the parallelogram
To find the length we have ,
\(\sqrt{(x_{2} ^{2} -x_{1} ^{2} ) +(y_{2} ^{2}-y_{1} ^{2} )}\)
(-2, 3) , (-2, 6)
Slope = 6-3/ -2+2 = infinity
Length L1 = \(\sqrt{(-2 + 2)^{2} + (6 - 3)^{2} }\)
= 9
(-6, -1), (-6, 2)
Slope = 2+1/ -6 + 6 = infinity
Length L2 = \(\sqrt{(-6 + 6)^{2} + ( 2 + 1)^{2} }\)
= 9
Therefore the given vertices are of a parallelogram, as the length and slope are equal.
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Garth is giving 10 of the action figures from his collection to his brother. If a represents the number of action figures Garth has, which expression shows how many actions figures Garth will have left?
PLEASE HELP!!!!!
Simple answers please
Someone, please help me with this MATH question.
Solve the following equation, show all of your work for full points.
\(2/3+5/6x=9\)
Answer:
x=10
Step-by-step explanation:
2/3+5/6x=9
5/6x=8 1/3
5/6x=25/3
5x=50
x=10
please identify each that are central angles!!
Correct answers are
<BDE
<EDF
Find the inequality represented in the graph.
Answer: y > -1/2x + 2
Step-by-step explanation: first, in order to find the inequalities you should find the gradient by choosing two points from the line and you should you the formula m=y2-y1/x2-x1 to find the gradient.
Next, you should find the y-intercept in order to complete the inequality it can be easily found as the y-intercept is the place where the line crosses the y axis
Then you create your equation { y = -1/2x + 2 } and then if above the line is shaded then it is {> greater than} and if below the line is shaded then it should be {< less than}
(so you should replace the equation with the lesser or greater sign according to the way the graph is shaded)
If Tristen buys 14 t-shirts for $78.40. What is the
constant of proportionality?
Answer:
The constant is that each 14 t-shirts you need to pay 78.40$
Step-by-step explanation:
If you divide 78.40 between the 14 t-shirts you get 5,39$, whiwh would be the price of a t-shirt.
in the first quadrant you start at (3,7) and move 3 units down what point will you end up with
Answer:
(3, -3)
Step-by-step explanation:
Answer:
(4,4)
Step-by-step explanation:
when you go down 3 units you just need to subtract 3 from 7
find arbitrarily large powers of s 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 without doing matrix multiplication
To find arbitrarily large powers of s without doing matrix multiplication, we can use the binary representation of the power and exponentiation by squaring.
Exponentiation by squaring is a method for computing large powers of a number efficiently. To compute s^n, we first convert n to its binary representation. For example, if we want to compute s^13, we first convert 13 to its binary representation of 1101, which is equivalent to 8 + 4 + 1.
We then compute s^8, s^4, and s^1, and multiply them all together. To compute s^8, we use the fact that s^8 = (s^4)^2. To compute s^4, we use the fact that s^4 = (s^2)^2. To compute s^2, we use the fact that s^2 = s*s.
We continue in this way until we have computed the powers of all the individual binary digits, and then multiply them all together to get s^13. This method is much more efficient than computing the powers directly by multiplying s by itself 13 times.
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PLEASE HELP
10 POINTS!
Answer:
point c is right answer
Step-by-step explanation:
you can also count after -7 d is at -5 the number and then c is located between -7 and -8 so its -7.75
scores on the sat verbal test in recent years follow approximately the n(515, 109) distribution. how high must a student score in order to place in the top 5% of all students taking the sat?
We need to determine the score a student must achieve to place in the top 5% of all students taking the SAT Verbal test with an N(\(515, 109\)) distribution, which came out to be \(695\) marks.
Identify the mean (μ) and standard deviation (σ) of the distribution: In this case, µ \(= 515\) and σ\(= 109\).
Determine the percentile rank: To place in the top \(5%\)% of students, we need to find the score corresponding to the \(95th\) percentile, as this represents the point where \(95\)% of students have a lower score.
Use a standard normal (Z) table or calculator to find the Z-score corresponding to the \(95th\) percentile: A Z-score represents the number of standard deviations a data point is from the mean.
For the \(95th\) percentile, the Z-score is approximate \(1.645\).
Apply the Z-score formula to find the required SAT score: \(X =\) µ \(+ Z*\) σ. In this case, \(X = 515 + (1.645 *109)\).Calculate the result: \(X = 515 + (1.645 *109)\)
\(=515 + 179.305 = 694.305\).
Round up to the nearest whole number: Since a student's SAT score must be a whole number, round up to \(695\). A student must score \(695\) or higher on the SAT Verbal test to place in the top \(5\)% of all students taking the test, given the N(\(515, 109\)) distribution.
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HELP ASAP 10 POINTS WILL MARK IF CORRECT
Answer:
To get the slope, we can first mark out any 2 points of the line.
In this case, I will use the point (-2, 0) which will be (x1, y1) and (0, -2) which I will call (x2, y2).
To get the slope, you need to do \(\frac{y2-y1}{x2-x1}\)
Substitute these values in:
\(\frac{-2-0}{0-(-2)} =\frac{-2}{2} =-1\)
The slope is -1.
2(k-9)=1.5k+7 what is the first solution?
Answer:
k=50
Step-by-step explanation:
i can’t think rn can someone pls help?
Answer:
the first one negative 10 because negative 5 mines negative 5 is negative 10
Hola, ¿cómo tienes un buen día (puntos gratis)
DON'T ANSWER IF YOU DONT KNOW SPANISH OR SOMETHING WILL HAPPEN
Answer:
Buena y como estas?
¡También gracias!
Answer:
bien, como te va a ti?
Step-by-step explanation:
saludos
A bug begins to crawl up a vertical wire at time t = 0. The velocity v of the bug at time t, 0 < t < 8, is given by the function whose graph is shown behind this text. At what value of t does the bug change direction? a. 2
b. 4
c. 6.5
d. 7
The bug changes direction at t = 4. This can be answered by the concept of velocity.
To determine when the bug changes direction, we need to find when its velocity changes sign from positive to negative. From the graph, we see that the bug's velocity is positive for t < 4 and negative for t > 4. Therefore, the bug changes direction at t = 4.
To verify this, we can look at the behavior of the bug's velocity as it approaches t = 4. From the graph, we see that the bug's velocity is increasing as it approaches t = 4 from the left, and decreasing as it approaches t = 4 from the right. This indicates that the bug is reaching a maximum velocity at t = 4, which is when it changes direction.
Therefore, the bug changes direction at t = 4.
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I need help fast on this one no …links
Answer:
ano po. ibig sabihin niyan
Find the surface area of a square based pyramid that has a base with 3m sides and a slant height of 4m.
The surface area of a square-based pyramid is 33 m².
What is the surface area of the pyramid?
A pyramid's surface area is calculated by summing the areas of all of its faces. A pyramid is a three-dimensional form with a polygonal base and triangle-shaped side faces that meet at a location known as the apex or vertex. The altitude or height of the pyramid is the perpendicular distance from the apex to the center of the base. The "slant height" is the length of the perpendicular traced from a triangle's apex to its base (side face).
Here, we have
Given: a square-based pyramid that has a base with 3m sides and a slant height of 4m.
The surface area of a square-based pyramid = a² + 2al
(where 'a' is the side length of the base and is the slant height)
a = 3m
l = 4m
SA = 3² + (2 x 3 x 4) = 33 m².
Hence, the surface area of a square-based pyramid is 33 m².
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