What is 4x - 3 = -2x + 9
Answer:
the answer is x=2
Step-by-step explanation:
4x+2x=9+3
6x=12
x=2
What is the relationship between 2 and 2?
As per the question, in context of mathematics the relation between 2 and 2 is equality relationship.
What is equality relationship in mathematics?n mathematics, an equality relationship is a relationship between two quantities or expressions that are equal to each other. This relationship is represented using the equals sign (=).
Why are relations important in mathematics?Relations are important in mathematics because they allow us to describe and analyze the relationships between different quantities or values. Relations can be used to describe how two quantities are related to each other, such as whether they are equal, greater than, or less than each other.
The relationship between 2 and 2 is that they are both equal to each other. In mathematics, two is a number that is equal to the sum of one plus one. It is a cardinal number, which means it is used to count the number of objects in a set. Two is also an even number, which means it is divisible by 2 without a remainder.
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What's is the slope of this line?
Need this ASAP
Answer:
\(\displaystyle m=2\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian Plane
Coordinates (x, y)Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)
Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, 3)
Point (1, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: \(\displaystyle m=\frac{5-3}{1-0}\)[Slope] Subtract: \(\displaystyle m=\frac{2}{1}\)[Slope] Divide: \(\displaystyle m=2\)) Express 8x-x² in the form a- (x + b)²
Pls bro help
Answer: To express the expression 8x - x² in the form a - (x + b)², we can complete the square method.
First, we'll add (1/2)^2 = 1/4 to both sides of the expression:
8x - x² + 1/4 = 1/4
Next, we'll rearrange the left-hand side to the desired form:
(2x - 1/2)² - 1/4 = 1/4
Now, we can identify a = -1/4, b = 1/2, so the expression is:
a - (x + b)² = -1/4 - (x + 1/2)²
Step-by-step explanation:
Latisha is compiling a program for a video game.
For one part of the program they use the rule (x,y) → (x + 10, y - 6) to move a character on the screen.
(a) What output does the rule give when the input is (10,-5)? Show your work.
(b) What output does the rule give when the input is (-4,8)? Show your work.
The shifted coordinates for each of the following are (20,-11) and (6,2).
Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical).
Given, (x,y) → (x + 10, y - 6)
a) when the input is (10,-5) -
10 + 10 = 20
- 5 - 6 = - 11
(20,-11)
b) when the input is (-4,8) -
-4 + 10 = 6
8 - 6 = 2
(6,2)
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what is 2 divided by 6
Answer:
2.333 repeating
Step-by-step explanation:
you divide 2 by 6 (srry i neede more characters)
you can do the repeat symbol by placing a slash over top of the 3rd 3
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Answer:1/3
Step-by-step explanation:
the formula for the test statistic used for a two sample test of means where the population variances are unknown and unequal is: t = x1−x2√s12/n1 s22/n2 match the variables to their description.
The variables of the test statistic may be determined to be \($s _1$\), \($s _2$\), \($n_ 1, n _2$\), t, which is the t - distribution test statistic, and \($x _1, x _2$\), which is the mean of the two samples.
What is meant by t - distribution test statistic?When the variances of the two groups are not equal, pooled standard deviation estimations cannot be used. As an alternative, we must determine the standard error for each group separately. The variables of the test statistic may be determined to be \($s _1$\), \($s _2$\), \($n_ 1, n _2$\), t, which is the t - distribution test statistic, and \($x _1, x _2$\), which is the mean of the two samples.
The formula for this type of test statistic is given by -
\($t=\frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{x_2}{n_2}}}$$\)
Here, the variables can be defined as below -
\($s_1^2, s_2^2=$\) variance of two samples
\($n_1, n_2=$\) respective sizes of the two samples
t = t - distribution test statistic
\($x_1, x_2=$\) Mean of the two samples
As a result, the variables of the test statistic can be determined to be \($s _1, s _2$\), which represents the variance of two samples, \($n _1, n _2$\), which represents the size of the two samples, t, which represents the t-distribution test statistic, and \($x _1, x _2$\), which represents the mean of the two samples.
The complete question is:
The formula for the test statistic used for a two sample test of means where the population variances are unknown and unequal is:
t = X1−X2√s12/n1+s22/n2X1-X2s12/n1+s22/n2
Match the variables to their description.
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A carpenter cut a board that was 10 feet long into two pieces. The longer piece is 2 feet longer than three times the length of the shorter piece. What is the length of each piece?
Answer:
shorter piece: 2 feet
longer piece: 8 feet
Step-by-step explanation:
let the shorter piece be x
then the longer piece will be 3x + 2
if they join together:
3x + 2 + x = 104x + 2 = 104x = 10 -24x = 8x = 2Longer piece:
3x + 23(2)+28 feetAnswer:
x+3x+2=10
4x=10-2
4x=8
x=8/4
x=2 ft. for the shorter piece./
3*2+2=6+2=8 ft. for the longer piece.
Proof:
8+2=10
10=10
Step-by-step explanation: hope it helps u
keep smile
I can’t figure this out please help
Answer: \(**\) \(**\) \(**\)
3.62
Step-by-step explanation:
Hello! :)
4.492:1.24=3.62
I have rounded to the appropriate number of significant digits.
Answered by
\(**Rosalind**\)
l=510−42t
The old road length, l, in meters, after t hours of milling is given by the equation above. How many meters of old road are removed for each hour of milling?
Answer:
42
Step-by-step explanation:
I represents hours and the 42 is listed before it. Meaning every hour, 42 meters is removed
8.1.26
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
x2 + 1 - 2x
Write the polynomial in standard form.
Answer:
(x-1)(x-1)
Step-by-step explanation:
√2w+5-3
2w-4
2. Evaluate
(A) 0
(B) co
(C) -4
(D)
(E) The limit does not exist.
3. If f(x)= (5x + 2), find f'(x).
(A) f(x) =
35(5x + 2)
(B) f (x) =
35(5x + 2)
(C) f (x)= 35(5x + 2) cos cos (5x + 2)
(D) f (x)=- 35(5x + 2) sin sin (5x + 2)
(E) f(x)=- 35(5x + 2)
Answer:
2. To evaluate the limit, we need to factor the numerator and the denominator of the fraction first:
√(2w+5)-3 / (2w-4) = [√(2w+5)-3] / [2(w-2)]
Now, we can see that the denominator becomes zero when w = 2. So, we need to check the limit separately for the left-hand and right-hand limits.
For the left-hand limit, as w approaches 2 from the left, the numerator approaches -3, and the denominator approaches a negative number very close to zero. So, the limit goes to negative infinity.
For the right-hand limit, as w approaches 2 from the right, the numerator approaches -3, and the denominator approaches a positive number very close to zero. So, the limit goes to positive infinity.
Since the left-hand limit and the right-hand limit are not equal, the limit does not exist.
Therefore, the answer is (E) The limit does not exist.
3. The derivative of f(x) = 5x + 2 is given by the formula:
f'(x) = d/dx (5x + 2) = 5
Therefore, the answer is (E) f(x)=- 35(5x + 2).
Solve the system of equations
y = 1/2x - 3
2y + 6 = x
Consider the operator S on the vector space R₁ [x] given by Slatbx) = - a+b+ (a + 2b)x A) Given the standard basis B = {1, x}. Find the minimal polynomials Ns₁1 (4), N₁,x (4) and )۶) پلو B) Show that S is cyclic by finding a vector v such that = IR, [x]
The operator S on the vector space R₁[x] is defined as S(f(x)) = -a + b + (a + 2b)x, where a and b are constants. We need to find the minimal polynomials and show that S is cyclic.
To find the minimal polynomials, we need to determine the polynomials Ns₁₁(4) and N₁,x(4).
For Ns₁₁(4), we substitute 4 for x in S(f(x)) and equate it to zero. Solving the resulting equation, we can find the minimal polynomial Ns₁₁(4).
For N₁,x(4), we need to find a polynomial f(x) such that S(f(x)) = 4f(x). By substituting S(f(x)) into the equation, we can solve for f(x) and find the minimal polynomial N₁,x(4).
To show that S is cyclic, we need to find a vector v such that the set {v, S(v), S²(v), ...} spans the entire vector space R₁[x]. This means that every polynomial in R₁[x] can be expressed as a linear combination of these vectors. By choosing an appropriate vector v, we can demonstrate that S is cyclic in R₁[x].
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Solve: -6n + 5 < 11
Which graph shows the solutions?
Answer:
Step-by-step explanation:
If you follow the pythagorean therum you get a multiple of 6 then get the square root of six and that’s you answer
Circle O is shown. Secant A C intersects tangent C D at point C outside of the circle. Secant A C intersects circle O at point B and tangent C D intersects circle O at point D. Point E is on arc A D. Angle A C D is 57 degrees.
Aaron is standing at point C, watching his friends on a Ferris wheel. He knows that he is looking up at a 57° angle and the measure of arc BD is 80°. What is the measure of arc AED?
°
That would be 194 my friend!
Answer:
194
Step-by-step explanation:
Solve the system by substitution.
-3x-4y=11
y=2x
Answer:
x = -1, y = -2
Step-by-step explanation:
-3x-4y=11
y=2x
Plug in 2x for y:
-3x-4(2x)=11
-3x-8x = 11
-11x = 11
x =-1
Plug in x in y = 2x
y = 2(-1)
y = -2
Answer:(-1,-2)
Step-by-step explanation:
Express in simplest radical form square root 96/2
Answer:
√[(2*2)*(4*6)]
= 4 √6
Step-by-step explanation:
√96.
Sometimes it is better to ‘simplify’ by getting a coefficient multiplied by a smaller number within the radical. Other times, you’re really not simplifying, but making it more complicated. This is probably one of those times where leaving it as √96 is better.
If you had something like √196, you would want to change that form since it turns out that 196 is a perfect square.
Regardless, I’m assuming this is a problem for a class and your teacher/text book wants you to do the following……
You could start by factoring it in small steps within the radical sign.
If you find factors that are perfect squares, you can take them out of the radical.
You can find large factors if you want, but you can also start with small factors.
Probably the easiest number to factor out is 2 since 96 is an even number.
96/2 = 48.
square root 96 radical form
48 is also an even number, so you can factor another 2.
Now you have √[(2*2)*24]
If you can factor out larger numbers, it can save you a little time.
So from here let’s factor out a 4.
√[(2*2)*(4*6)]
= 4 √6
The diagram shows the straight line which passes through the points (0, 1) and (3, 13).
Find the equation of the straight line.
Answer:
y=4x+1
Step-by-step explanation:
First find the gradient of the straight line
Then substitute the gradient in the formula y=mx+c.
Substitute one of the given coordinates in the line to find the value of c.
After finding the value of c substitute it in the formula but do not write the values of x and y in the formula
Leo made a 59, 84, 61, and an 81 on the first four tests. What score
would he have to make on the 5th test in order to make at least an 85
in the course?
Answer:
71
Step-by-step explanation:
59 add 84 add 61 add 81 is 285
285 divided by (how many test scores) 4 is 71.25
I then rounded the number to 71. So leo would get 71. This is called mean. The mean is basically adding all the numbers then dividing it by how many there were of numbers. Mean tells you the average. So I'm pretty sure it's 71.
7) what is the approximate value of x? (Hint: there are two right angle triangles here, round to the nearest tenth)
Answer:
x= 8.2
Step-by-step explanation:
first we need to find the hypotenuse of the smaller triangle
3² + 4² = C
9 + 16 = 25
√25 = 5
now that we found the hypotenuse of the smaller triangle then we now find the hypotenuse of the larger one (x)
6.5² + 5² = C
42.25 + 25 = 67.25
√67.25 = 8.2
gement System Grade 0.00 out of 10.00 (0%) Plainfield Electronics is a New Jersey-based company that manufactures industrial control panels. The equation gives the firm's production function Q=-L³+15
The equation Q = -L³ + 15 represents the production function of Plainfield Electronics, where Q is the quantity of industrial control panels produced and L is the level of labor input.
In this production function, the term -L³ indicates that there is diminishing returns to labor. As the level of labor input increases, the additional output produced decreases at an increasing rate. The term 15 represents the level of output that would be produced with zero labor input, indicating that there is some fixed component of output. To maximize production, the firm would need to determine the optimal level of labor input that maximizes the quantity of industrial control panels produced. This can be done by taking the derivative of the production function with respect to labor (dQ/dL) and setting it equal to zero to find the critical points. dQ/dL = -3L². Setting -3L² = 0, we find that L = 0.
Therefore, the critical point occurs at L = 0, which means that the firm would need to employ no labor to maximize production according to this production function. However, this result seems unlikely and may not be practically feasible. It's important to note that this analysis is based solely on the provided production function equation and assumes that there are no other factors or constraints affecting the production process. In practice, other factors such as capital, technology, and input availability would also play a significant role in determining the optimal level of production.
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Kaylee is ordering accessories for her piano. A piano key costs $32, and a pack of strings costs $12. The shipping cost is $7
per order. The expression 32b + 12b + 7 can be used to find the cost in dollars of buying b piano keys and b packs of
strings plus the cost of shipping.
c) For A-C, choose Yes or No to indicate whether the statements are correct.
A. The simplified expression is 44b + 7.
B. The terms are 32b, 12b, and 7b.
OYes No
Yes No
O No
C. The like terms are 12b, 7b.
Yes
Translate the following verbal expression into an algebraic expression ... "The quotient of a number and four decreased by five"
Answer:
n/(4-5)
Step-by-step explanation:
A quotient of a number and... means that the number is being divided by whatever comes after. In this case the number that comes after is '4 decreased by 5', which is 4 - 5 as the -5 takes 5 away so it 'decreases it by 5'. Therefore is the expression is 'the quotient of a number and four decreased by five' then it is expressed in the following way (using n for number):
n/(4-5)
Hope this helped!
When you are standing 300 feet away from a 250 foot tall building,what is the angle of elevation to the top of the building (in degrees)
Answer:
39.8. if you need a more detailed answer, 39.8056
Is 5x+2 equivalent to 5x+2x ?
Answer:
I don't think so
Step-by-step explanation:
If I remember (based on memory) it's not equivalent
Reasoning: there's a different amount of Xs
Answer:
Please answer my question if you can, and gl understanding this! <3
Step-by-step explanation:
No, for if we subtract them, when we cancel out the 5x, 2, the integer, will not be equal to 2x, for not only is 2 already there, it is also being multipled by an integer. It possibly can equal though, if x was either 0, or positive 1, but if the x is not given, then no, they're not equivalent.
4x-25=-125 how do you slove it
Answer: 25
Step-by-step explanation:
4x - 25 = -125
4x = -125 + 25
4x = -100
Divide both sides by 4
x = -25
Which function is an example of exponential growth?
A a(x) = 0.5(1.2)x
B b(x) = 2.4(0.86)x
Answer:
A
Step-by-step explanation:
I think you mean
A a(x) = 0.5(1.2)^x
B b(x) = 2.4(0.86)^x
an exponent to a base larger than 1 will make the function result grow exponentially (getting bigger and much bigger with growing x).
an exponent to a base between 0 and 1 will make the function result shrink and shrink dramatically with growing x.
An arc subtends an angle of 72 degrees at the centre of the circle find the length of the arc of the radius of the circle is 3.5cm take pie as 22 on 7
Answer:
4.4 cm
Step-by-step explanation:
Arc length = 2*pi*r*(central angle) / 360
Arc length = 2*(22/7)*3.5*(72/360)=4.4 cm