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Allushta [10]
3 years ago
7

PLZ HELP IM RUNNING OUT OF TIME!!! THIS IS A SIMPLE EXPLANATION PROBLEM PLEASE HELP!!!

Mathematics
1 answer:
shutvik [7]3 years ago
4 0

Answer:

C.  The x-terms are the same, and the constant terms are the same.

Step-by-step explanation:

Solve for x:

7 (x - 4) = 8 (x + 8)

Hint: | Write the linear polynomial on the left-hand side in standard form.

Expand out terms of the left hand side:

7 x - 28 = 8 (x + 8)

Hint: | Write the linear polynomial on the left-hand side in standard form.

Expand out terms of the right hand side:

7 x - 28 = 8 x + 64

Hint: | Move terms with x to the left-hand side.

Subtract 8 x from both sides:

(7 x - 8 x) - 28 = (8 x - 8 x) + 64

Hint: | Combine like terms in 7 x - 8 x.

7 x - 8 x = -x:

-x - 28 = (8 x - 8 x) + 64

Hint: | Look for the difference of two identical terms.

8 x - 8 x = 0:

-x - 28 = 64

Hint: | Isolate terms with x to the left-hand side.

Add 28 to both sides:

(28 - 28) - x = 28 + 64

Hint: | Look for the difference of two identical terms.

28 - 28 = 0:

-x = 64 + 28

Hint: | Evaluate 64 + 28.

64 + 28 = 92:

-x = 92

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of -x = 92 by -1:

(-x)/(-1) = -92

Hint: | Any nonzero number divided by itself is one.

(-1)/(-1) = 1:

Answer: x = -92

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What is the slope-intercept equation of the line below?
Nataly [62]

Answer:

D

Step-by-step explanation:

We will use the 2 coordinates marked on the graph as the reference.

The coordinates are:

A(4,-2)

B(0,3)

We know that the standard form for equation of line is:

y = mx+c

where m is the slope of the equation

and c is the y-intercept.

Very clearly, the y-intercept is where the line intercepts the y line.

and in this case, y-intercept = c = 3.

Now we know that the equation of line is now

y = mx + 3

To find m, the slope, we can use the 2 above coordinates.

slope of line = \frac{y1-y2}{x1-x2} \\=\frac{-2-3}{4-0} \\=\frac{-5}{4} \\=-\frac{5}{4}

(Note: There is a 2nd way to find the slope in this case, let me know if you are interested to find out.)

Equation of line: y=-\frac{5}{4} x+3

Therefore the answer is D.

4 0
2 years ago
The revenue of a company that makes backpacks is given by the formula R = 34.S0x, where x represents the number of backpacks sol
alexgriva [62]

Answer:

Revenue = 1380

Step-by-step explanation:

Given:

Revenue means the sales or turnover of a company when it sells its products. In other words, it is nothing but the income of a company on selling the products.

Here, the company is selling backpacks. So, revenue is the amount earned by the company on selling 'x' backpacks. The linear model to represent the same is given below.

The revenue received from selling 'x' backpacks is given as:

R=34.50x

Number of backpacks sold (x) = 40

Now, in order to find the revenue received on selling 40 backpacks, we need to plug in 40 for 'x' in the equation above and solve for the revenue, 'R'.

On plugging 40 for 'x', we get:

R=34.50\times 40\\\\R=1380

Therefore, the revenue received by the company on selling 40 backpacks is 1380.

8 0
4 years ago
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