Ask question

Ask question

All categories

2 years ago

13

Divide p(x) = x4 + 6x3 + 7x2 − 6x − 8 by x + 4 and by x − 3 to find the remainder in each case. Make sure to use the remainder t

heorem.

1 answer:

BARSIC [14]2 years ago

5 0

The remainder theorem says that dividing a polynomial $p(x)$ by $x-c$ leaves a remainder of $p(c)$ . Here, $c=-4$ , then $c=3$ .

$p(-4)=0$

$p(3)=280$

You might be interested in

X3= one over eight what's the answer for that?

Black_prince [1.1K]

X^3 = 1/8
x^3 = (1/2)^3
x = 1/2

hope it helps

6 0

2 years ago

Jonathan goes to the store and purchases 3 pencils for 0.28 each, and y number of erasers for 0.38 each. Write an expression tha

laiz [17]

Keywords

linear equation, variables

Step 1

Define the variables

Let

x-----> number of erasers

y-----> total cost

we know that

------> this is the linear equation that represent the situation

therefore

the answer is y = 0.84 + (0.38)x

5 0

3 years ago

Read 2 more answers

Can I get help and no links pls

kodGreya [7K]

The answer is 30, can I get the brainliest answer

5 0

2 years ago

Read 2 more answers

Write the slope intercept form Through:(5,-3) and (0,0)

andriy [413]

Answer:

y= $-\frac{3}{5} x$

3 0

2 years ago

Solving systems of Equations Word Problems - CLASSWORK

dem82 [27]

Answer:

Part A) For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's

Part B) For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's

Part C) Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters

Part D) The cost is $90

Step-by-step explanation:

Let

x-------> the number of hours (independent variable)

y-----> the total cost of rent scooters (dependent variable)

we know that

Sam's scooters

$y=8x+30$

Rosie's scooters

$y=10x+20$

using a graphing tool

see the attached figure

A. when does it make more sense to rent a scooter from Rosie's? How do you know?

For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's (see the attached figure) because the cost in less than Sam' scooters

B. when does it make more sense to rent a scooter from Sam's? How do you know?

For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's (see the attached figure) because the cost in less than Rosie' scooters

C. Is there ever a time where it wouldn't matter which store to choose?

Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters. The cost is $70 (see the graph)

D. If you were renting a scooter from Rosie's, how much would you pay if you were planning on renting for 7 hours?

Rosie's scooters

$y=10x+20$

For x=7 hours

substitute

$y=10(7)+20=90$

The cost is $90

4 0

3 years ago