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Elodia [21]
3 years ago
14

Graphing the function please help

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
7 0

Answer:

C

Step-by-step explanation:

In the function y = -2x -2, the -2x determines where the point will intersect the x-axis and -2 determines what the graph is moving by (going down in this case).

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When a polynomial is divided by (x+2), the remainder is -19. When the same polynomial is divided by (x-1), the remainder is 2. D
NeTakaya
<h3>Answer:   7x - 5</h3>

============================================

Explanation:

We're dividing some unknown polynomial P(x) over (x+2) to get a quotient Q1(x) and remainder -19. That must mean

P(x)/(x+2) = Q1(x) - 19/(x+2)

P(x) = Q1(x)*(x+2) - 19

Note that plugging in x = -2 leads to P(-2) = -19. This is an example of the remainder theorem.  

Similarly,

P(x) = Q2(x)*(x-1) + 2

since dividing by (x-1) leads to a remainder of 2. We have P(1) = 2.

We'll use P(-2) = -19 and P(1) = 2 in the later sections below.

----------------

We want to find the value of r such that

P(x) = Q3*(x+2)(x-1) + r

Let's say that r = ax+b

Meaning we now have

P(x) = Q3*(x+2)(x-1) + r

P(x) = Q3*(x+2)(x-1) + ax+b

The goal from here is to find 'a' and b so we can get the remainder ax+b.

----------------

Plug in x = -2 and solve for b.

P(x) = Q3*(x+2)(x-1) + ax+b

P(-2) = Q3*(-2+2)(-2-1) + a(-2)+b

-19 = Q3*(0)(-3)-2a+b

-19 = -2a+b

b = 2a-19

----------------

Plug in x = 1 to get...

P(x) = Q3*(x+2)(x-1) + ax+b

P(1) = Q3*(1+2)(1-1) + a(1)+b

P(1) = a+b

2 = a+b

a+b = 2

a+(2a-19) = 2 .... plug in b = 2a-19

3a-19 = 2

3a = 19+2

3a = 21

a = 21/3

a = 7

Use that value to find b

b = 2a-19

b = 2(7)-19

b = 14-19

b = -5

----------------

We found that a = 7 and b = -5.

The remainder ax+b updates to the final answer 7x-5

6 0
3 years ago
The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What perc
likoan [24]

Answer:

You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.

If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.  

If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.  

this pattern keeps repeating.

3 0
3 years ago
If a + b = -2a+b=−2 and x + y = -2x+y=−2,<br> what is 4x + 5a + 4y + 5b4x+5a+4y+5b?
Romashka-Z-Leto [24]

Answer:your dumb

Step-by-step explanation:

4 0
3 years ago
What is the best result for h?
Kryger [21]

Answer: First option.

Step-by-step explanation:

To solve for "h" from the given the equation S=2\pi rh+2\pi r^2, you need to:

Apply the Subtraction property of equality and subtract 2\pi r^2 to both sides of the equation.

Then you need to apply the Division property of equality and divide both sides of the equation by 2\pi r.

Then:

S-2\pi r^2=2\pi rh+2\pi r^2-2\pi r^2\\\\S-2\pi r^2=2\pi rh\\\\\frac{S}{2\pi r}-\frac{2\pi r^2}{2\pi r}=\frac{2\pi rh}{2\pi r}\\\\\frac{S}{2\pi r}-r=h

6 0
3 years ago
Read 2 more answers
I only need number 1 i don’t understand.
valentinak56 [21]

Answer:

12

Step-by-step explanation:

in this problem there is A+b=15

A=9

B=12

5 0
3 years ago
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