Question 8 of 10 2 Points Use the function below to find F(4). F(x)=5•(4*

student expanded an expression, as shown. Is the student's work correct? Explain why or why not. −6 ( 4x − 2 13 ) −6(4x) + 6 ( −

sleet_krkn [62]

Answer:

No, the student's work is not correct.

Step-by-step explanation:

Given : Student expanded an expression, as shown.

$-6(4x-\frac{2}{13} )$

$-6(4x)+6(-\frac{2}{13} )$

$-24x-\frac{12}{13}$

To find : Is the student's work correct?

Solution :

The expansion of student is not correct.

Follow the below steps to get correct solution and student mistake,

Step 1 - Write the expression,

$-6(4x-\frac{2}{13} )$

Step 2 - Apply distributive property, $a(b+c)=ab+ac$

$=(-6)(4x)+(-6)(-\frac{2}{13})$

Step 3 - Solve,

$=-24x+\frac{12}{13}$

The student was mistaken in step 2 in solving the sign.

4 0

3 years ago

Read 2 more answers

Given that 2y^3+by-cy+d,where b,c and d are constants,leaves a remainder R when divided by (y+1) , (y-2) and (2y-1). Find the va

Eddi Din [679]

The polynomial remainder theorem says that a polynomial p(x) leaves a remainder of p(k) when it's divided by x - k.

We're given that dividing p(y) = 2y³ + by² - cy + d leaves the same remainder R after dividing it by y + 1, y - 2, and 2y - 1. So we have

p(-1) = 2(-1)³ + b(-1)² - c(-1) + d = R

==> R = -2 + b + c + d

p(2) = 2(2)³ + b(2)² - c(2) + d = R

==> R = 16 + 4b - 2c + d

p(1/2) = 2(1/2)³ + b(1/2)² - c(1/2) + d = R

==> R = 1/4 + b/4 - c/2 + d

We're also given that y + 2 is a factor, which means dividing p(y) by it leaves no remainder, and so

p(-2) = 2(-2)³ + b(-2)² - c(-2) + d = 0

==> 0 = -16 + 4b + 2c + d

Solve the system of equations in boldface. You can eliminate d from the first 3 to first solve for b and c, then solve for d :

(-2 + b + c + d) - (16 + 4b - 2c + d) = R - R

-18 - 3b + 3c = 0

b - c = -6

(-2 + b + c + d) - (1/4 + b/4 - c/2 + d) = R - R

-9/4 + 3b/4 + 3c/2 = 0

b + 2c = 3

(b - c) - (b + 2c) = -6 - 3

-3c = -9

c = 3

b - 3 = -6

b = -3

-16 + 4(-3) + 2(3) + d = 0

d = 22

7 0

3 years ago

What do I dooooooooooo I need help asap

andriy [413]

Answer:

helloeo can i help u help u help u

5 0

3 years ago

It would take 150 minutes to fill a swimming pool with 5 taps.

sammy [17]

First 150 min times by 5 = 750 minutes after that 750 ÷3=250 minutes it will take for 3 taps

6 0

3 years ago

What exclusions are placed on the variable a for the fraction (a^2 + 4m)/a^2+4?

sattari [20]

Answer:

The answer is A.) -2

4 0

3 years ago