Select the correct answer.
Which value of x makes this equation true?
-8(x+5) = -3x - 7+ x-3
Ο Α.
-7)
NIH
ОВ.
= -5
Ос.
= 15
OD.
= 12

Answers

Answer 1

For x = -5 the equation [tex]-8(x+5) = -3x\;-7\;+x\;-3[/tex] is a true equation. Hence, OPTION (B) IS CORRECT.

We have the following equation -

[tex]-8(x+5) = -3x\;-7\;+x\;-3[/tex]

We have to find the value of x that makes this equation true.

How can you say that the equation [tex]x^{2} = 2x[/tex] is a true equation at x = 0 and x = 2 ?

In order to prove that the equation is true at x = 2 and x = 0, we have to prove that the left hand side of the equation equals the right hand side of the equation, if we substitute 2 or 0 in place of x Solving the equation to find the value of x -

[tex]x^{2} =2x\\x^{2} -2x=0\\[/tex]

x (x - 2) = 0

x = 0          or           x - 2 = 0

Test case 1 : for [tex]x = 2[/tex]

[tex]x^{2} =2x\\2^{2} =2 (2)\\4 =4[/tex]

LHS = RHS

Test case 2 : for [tex]x =0[/tex]

[tex]x^{2} =2x[/tex]

[tex]0^{2} = 2(0)[/tex]

[tex]0 = 0[/tex]

LHS = RHS

Hence, the equation [tex]x^{2} = 2x[/tex] is a true equation for [tex]x=0[/tex] and [tex]x=2[/tex]

We can use the similar approach in the equation -

                                     [tex]-8(x+5) = -3x\;-7\;+x\;-3[/tex]

to find the value of [tex]x[/tex] for which the equation is true.

-8(x+5) = -3x-7+x-3

-8x-40=-2x-10

-8x+2x = -10+40

-6x = 30

x=-5

Hence, for x = -5 the equation [tex]-8(x+5) = -3x\;-7\;+x\;-3[/tex] is true equation.

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Related Questions

Almost 9 over 11 of the total electricity supplied to a town is used in farms and houses. Determine the decimal equivalent of 9 over 11. I know the answer is 81 I just need to know why it is a repeating decimal?

Answers

Answer:

Cuz the number after the decimal repeats

Step-by-step explanation:

e) What does the value of the mean absolute deviation tell you about the spread of the data? (2 points)

Answers

Answer:

The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset. ... Step 2: Calculate how far away each data point is from the mean using positive distances.

Mean deviation is defined as how much is each element of the data is far away from the mean of the data.

What is mean in statistics?

We can define the mean of the given data set as the average of all the numbers. Mathematically, we can write mean as -

M = ∑x{i}/n

Given is to discuss what does the value of mean absolute deviation tell about the spread of the data.

Mean deviation is defined as how much is each element of the data is far away from the mean of the data. Mathematically, we can write mean deviation as -

[tex]$\frac {1}{n} \sum \limits_{i=1}^n |x_i-m(X)|[/tex]

where -

m(X) = average or mean value(n) = number of data elements in the data setx(i) = data values

Therefore, Mean deviation is defined as how much is each element of the data is far away from the mean of the data.

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Answer:

hi bri

Step-by-step explanation:

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Answers

Answer:

2x-3=13

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Answers

Answer:

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Step-by-step explanation:

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What is the area of the parallelogram shown below?

Answers

Answer:

135 units square

Step-by-step explanation:

The area of a parallelogram is calculated by multplying height and base

The height of the given shape is 15 units and the base is 9 units

15 × 9 = 135 units square.

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Answers

Answer:

[tex]c \: (x + 5)(x - 1)[/tex]

Tom earns ​$16 a week mowing lawns. He spends 1 4 of his earnings on lunch and 1 2 of his earnings on music. He saves the rest. How many dollars does Tom​ save? Tell how you found the answer

Answers

Tom is in debt, By -26 dollars.

Answer:

32 dollars

Step-by-step explanation:

I think the answer is $32 because 14-12 is 2 and if you multiply 16 times 2 that's how I got the answer. I could be wrong I am sorry if I am.

Write an equation of the parabola with focus (0, -3) and vertex at the origin. Use z for the independent variable.

Answers

Answer:

z^2 = -12y

or y = -(z^2/12)

Step-by-step explanation:

Answer:

z^2 = -12y

Step-by-step explanation:

Given the vertex at origin;

This is same as (0,0)

The focus (0,-3)

The general form is;

(z-h)^2 = 4p(y-k)

(h,k) is the vertex (0,0); so h = 0 and k = 0

The focus is given as;

(h,k + p)

so ;

k + p = -3

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Thus, the equation of the parabola is;

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z^2 = -12y

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Answer:

A. Y ≤ 4.

Step-by-step explanation:

This  opens downwards and has a maximum  at f(x) = 4.

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Answer is:

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Answers

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An company charges an initial fee of $350, plus $50 for each additional service added.

Which function can be used to find y, the total amount a customer would pay after n services were added.

Answers

Answer:

Y=250+50n

Step-by-step explanation:

Well since y in this case is total cost that is basically (f) the function range.

The domain in this case is the 250 one time fee and the 50 buks per services.

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Answers

Answer:

a = 25

Step-by-step explanation:

The exterior angles of a polygon sum to 360°

Sum the exterior angles and equate to 360

a + a + 40 + 51 + 55 + 54 + 2a + 60 = 360, that is

4a + 260 = 360 ( subtract 260 from both sides )

4a = 100 ( divide both sides by 4 )

a = 25

A student is 90 cm tall and growing at a rate of 3 cm per month. At this rate, in how many months will the student grow to a height of 132 cm?

Answers

Answer:

14 months

Step-by-step explanation:

14x3=42

42+90= 132

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Answers

Answer:

   x degree = 112 degree

 

Step-by-step explanation:

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1. Value-Mart is advertising a Back-to-School sale on pencils. A pack of 24 sells
for $4.99, whereas a pack of 12 sells for $3.23. Which is the better buy? How do
you know?

Answers

Answer:

24 because you get more pencils to use in case one breaks.

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Answer:

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Step-by-step explanation:

image them turning into triangles

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Given:

The regression equation is:

[tex]y=-25x+436[/tex]

The given point is (17,3.8).

To find:

The residual for the given point.

Solution:

We have,

[tex]y=-25x+436[/tex]

Substituting [tex]x=17[/tex], we get

[tex]y=-25(17)+436[/tex]

[tex]y=-425+436[/tex]

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Formula for residual:

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Residual = [tex]3.8-11[/tex]

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Therefore, the residual for the given point is -7.2.

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Answers

Answer:

27π

Step-by-step explanation:

A = πr²

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Answers

Answer:

the answer is C

Step-by-step explanation:

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Answer:

C. Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

C) 1

Step-by-step explanation:

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The slope equation is y=mx+b.

b is where the line crosses on the y axis, also known as the y-intercept.

m is the slope, which you are trying to find.

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Answers

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Answers

Answer:

Answer is D) 42x − 24

Step-by-step explanation:

Opening the expression given in question

6(7x − 4)

6 will be multiplied by both items present inside parenthesis.

it can be written as

={(6 * 7x) - (6*4)}

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Hope that clears the question.


Write and solve the equation for t to find when
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Answers

Answer:

t = 10 minutes

Step-by-step explanation:

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-400 = -40t

t = 10

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