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MAXImum [283]
4 years ago
12

Solve the system of equations: y = 2x - 3 y = x2 - 2x - 8

Mathematics
1 answer:
tino4ka555 [31]4 years ago
6 0

Answer:

Step-by-step explanation:

y = 2x - 3   --------------(i)

y = x² - 2x - 8 -----------(ii)

Substitute y = x² - 2x - 8 in equation (i)

x² - 2x - 8 = 2x - 3

x² - 2x - 8 - 2x + 3 = 0

x² - 2x -2x - 8 + 3 = 0

x² - 4x - 5 = 0

x² + 1x - 5x -5 = 0

x(x + 1) - 5(x + 1) = 0

(x + 1)(x - 5) = 0

x + 1 =0 ; x -5 = 0

x = -1     ; x = 5

When x  = -1;    y =2*(-1) - 3 = -2 -3 = -5

When x = 5;     y = 2*5 - 3 = 10-3 = 7

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4 years ago
Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. A customer paid
NeX [460]

Options were not present in the question we are Stating below;

Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. A customer paid $34 for a bike rental. Which of the equations below could be used to find how many hours, x, the customer rented the bike?

34 = 10 - 4x\\\\34 = 4 + 10x\\\\34 = 10 + 4x\\

Answer:

34 = 10 + 4x

Step-by-step explanation:

Given:

Amount customer paid = $34

Initial fee = $10

Hourly rate = $4

We need to write the equation used to find how many hours, x, the customer rented the bike.

Solution:

Let the number of hours customer rented the bike be 'x'.

Now we can say that;

Amount customer paid is equal to sum of Initial fee plus Hourly rate multiplied by number of hours customer rented the bike.

framing in equation form we get;

34 =10+4x

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3 years ago
Which expression is equivalent to 4(23)?
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Answer:

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Step-by-step explanation:

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3 years ago
2<br> Graph y = 2/3x - 4
AysviL [449]

ANSWER:

(IMAGE ATTACHED)

EXPLANATION:

This equation is called a slope intercept form. The formula is y=mx+b.

"b" or -4 in this case is the y-intercept. It's where the line meets the y line (vertical line). The "m" or 2/3 is the slope. All slopes are written in y/x.

So, starting from (0, -4), you will go up 2 and go right 3. You will end up at (3, -2). Now, just draw a line through (0, -4) and (3, -2).

Your graph should show up like this:

3 0
3 years ago
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