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3 years ago

11

PLEASE HELP!!!! Will AWARD BRAINLIEST IF CORRECT!!!

1 answer:

atroni [7]3 years ago

6 0

Following PEMDAS

4*2=8

-8-1=-9

-9+8=-1

The final answer is -1

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Find number a and k so that x-2 is afactor<br>OF F(x)=x4-2ax tax-<br>X+k and F(-1)=3

Slav-nsk [51]

Question:

Find numbers a and k so that x-2 is a factor of

$f(x)=x^4-2ax^3+ax^2- x+k$

and

$f(-1)=3$

Answer:

$k = -2$ and $a=1$

Step-by-step explanation:

Given

$f(x)=x^4-2ax^3+ax^2- x+k$

$Factor:\ x - 4$

$f(-1)=3$

Required

Find a and k

For $f(-1)=3$

Substitute -1 for x

$f(x)=x^4-2ax^3+ax^2- x+k$

$f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k$

$f(-1) = 1 - 2a *-1 + a*1 +1 + k$

$f(-1) = 1 +2a + a +1 + k$

$f(-1) = 2 +3a + k$

Substitute 3 for f(-1)

$3 = 2 +3a + k$

Collect Like Terms

$3 - 2 = 3a + k$

$1 = 3a + k$

Also:

If $x - 2$ is a factor, then

$f(2) = 0$

Substitute 2 for x and 0 for f(x)

$f(x)=x^4-2ax^3+ax^2- x+k$

$0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k$

$0 = 16 - 2a * 8 + a * 4 - 2 + k$

$0 = 16 - 16a + 4a - 2 + k$

$0 = 16 - 12a - 2 + k$

Collect Like Terms

$2 - 16 = - 12a + k$

$-14 = k - 12a$

$k = 12a - 14$

Substitute 12a - 14 for k in $1 = 3a + k$

$1 = 3a + 12a - 14$

$1 = 15a - 14$

Collect Like Terms

$15a = 1 + 14$

$15a = 15$

Solve for a

$a = \frac{15}{15}$

$a=1$

Substitute 1 for a in $k = 12a - 14$

$k = 12 * 1 - 14$

$k = 12 - 14$

$k = -2$

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2 years ago

What is the answer please help.<br>

Alexandra [31]

Answer:

only E is false except that all are true

A,B,C,D are correct

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2 years ago

Mr. Suarez drives at a speed of 60 miles per hour to visit his brother who lives 200 miles away from his home. Write an equation

Juliette [100K]

Looks like a paper from dublin the answer is :
d=-60h+120 First Part

d=-60h+160

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3 years ago

Select the correct answer. Which statement is true about the y-intercept of a quadratic function? A. A quadratic function can on

yanalaym [24]

Answer:

A. A quadratic function can only have one y-intercept.

Step-by-step explanation:

hope this helps. p.s. i really need brainliest :)

5 0

3 years ago

Read 2 more answers

Find the missing lengths

Sati [7]

Tan 45 = b / sqrt2
1 = b / sqrt2

so b = sqrt2

a = sqrt ( 2 + 2) = sqrt4 = 2

Its B

7 0

3 years ago