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2 years ago

Equation 1: 8x+2y=308x+2y=30

Mathematics

1 answer:

Tems11 [23]2 years ago

8 0

Answer:

Part a) We should try to eliminate the y's because the coefficients are the same

Part b) The solution is the point (6,-9)

Step-by-step explanation:

Part a) Which variable pair should we try to eliminate?

we have

$8x+2y=30$ ----> equation 1

$7x+2y=24$ ----> equation 2

Solve by elimination

We should try to eliminate the y's because the coefficients are the same

Part b) What is the solution to the system?

Multiply equation 2 by -1 both sides

$-1(7x+2y)=-1(24)$

$-7x-2y=-24$ -----> equation 3

Adds equation 1 and equation 3

$8x+2y=30\\-7x-2y=-24\\-------\\8x-7x=30-24\\x=6$

Find the value of y

$8x+2y=30[/tex[tex]8(6)+2y=30$

$2y=30-48$

$y=-9$

The solution is the point (6,-9)

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Answer:

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Step-by-step explanation:

Required

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2 years ago

The graph below shows a company’s profit f(x), in dollars, depending on the price of the erasers x, in dollars, being sold by th

Alex777 [14]

The x-intercept = (0, 0) and (8, 0), Rate of function is 50 and as the price of erasers increasing the company's profit increasing and when price of the eraser decreasing the price the company's profit decreasing.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function:

From the graph:

x-intercept = (0, 0) and (8, 0)

Maximum value of the graph = 270 at x = 4

Increasing in the interval x ∈ (0, 4)

Decreasing in the interval x ∈ (4, 8)

As the price of erasers increasing the company's profit increasing and when price of the eraser decreasing the price the company's profit decreasing.

Rate of function = (270-120)/(4-1) = 50

Thus, the x-intercept = (0, 0) and (8, 0), Rate of function is 50 and as the price of erasers increasing the company's profit increasing and when price of the eraser decreasing the price the company's profit decreasing.