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STatiana [176]
3 years ago
8

When the function f(x) = 2x^n + ax^2 - 6 is divided by (x - 1), the remainder is -7 and when divided by (x + 3), the remainder i

s 129.
Calculate the value of "a" and "n" and hence write the polynomial function completely.
Mathematics
2 answers:
hodyreva [135]3 years ago
5 0

Answer:

Step-by-step explanation:

From the fact that the remainder is -7 after we divide by x -1 , then we know that f(1) = -7. But f(1) = 2 + a - 6.

So 2 + a - 6 = -7

a - 4 = -7

a = 4 - 7

a = -3.

Also we know that when divided by x + 3 the remainder is 129. Hence f( -3) = 129

129 = f(-3) = 2 (-3)^ n + (-3)(-3)^2 -6

129 = 2 (-3)^n -27 - 6

129 = 2 (-3)^n -33

129 + 33 = 2(-3)^n

162 = 2 (-3)^n

81 = (-3)^n

Hence n =4 and therefore f(x) = 2x^4 -3x^2 - 6.

zhannawk [14.2K]3 years ago
3 0

Answer:

Step-by-step explanation:

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The answer is 24/5 or 4 4/5 but if it is 11 on 5, the answer would be 44/5 or 8 4/5
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4 years ago
A/4 - 5/6 = 1/2<br> a/4 - 5/6 = 1/2 help
alexgriva [62]

Answer:

a = 16/3 or 5 1/3 or 5.33...

Step-by-step explanation:

to find a you must first make all of the denominators the same

you must find 4 6 and 2s CGF

and that is 12

so multiply a/4 by 3/3 and get 3a/12

then multiply 5/6 by 2/2 and get 10/12

and lastly multiply 1/2 by 6/6 and get 6/12

at this point you can set the equation up like this

3a/12 - 10/12 = 6/12

but then you can multiply everything by 12

3a - 10 = 6

and then solve

add 10 to both sides

3a = 16

then divide 3 on each side

a = 16/3 or 5 1/3 or 5.33...

8 0
2 years ago
Someone help please :(
Hunter-Best [27]

Answer:

Answers in step-by-step.

Step-by-step explanation:

We are going to make Sarah the variable "s."

Using the given information, the following equation is derived to calculate Sarah's distance.

  • S=2n-5

And the following equation will be used to calculate what Sarah collected using "p" for pledged money.

  • P=18S

If Sarah collected $450 in pledges, we can use the preceding formula to calculate her distance.

  • P=18S
  • 450=18S
  • 450/18=S
  • 25 miles = S

Using Sarah's distance, we can calculate Semir's either the first equation.

  • S=2n-5
  • 25=2n-5
  • 30=2n
  • 15=n
  • Semir walked 15 miles.

We already found Sarah's distance to be 25 miles.

Now SungSo is making the same amount as Sarah. He collects $450 total, but he got $72 from his grandmother initially, so subtract 72 from 450 to get the amount he collected from walking.

  • 450-72=$378

His formula is the same as Sarah's, but we'll use SS for his variable.

  • P=18SS
  • 378 = 18SS
  • 378/18=SS
  • 21= SS
  • SungSo walked 21 miles.

4 0
3 years ago
Graph the linear equation in three plots: -x+2y=11
MariettaO [177]

Answer:

<h2>In the attachment.</h2>

Step-by-step explanation:

Convert the given equation to the form y = mx + b:

-x+2y=11          <em>add x to both sides</em>

2y=x+11          <em>divide both sides by 2</em>

y=\dfrac{1}{2}x+\dfrac{11}{2}

It's a linear function.

We need only two points to plot the graph. Select any two x values, insert into the equation and calculate y values.

for x = 1

y=\dfrac{1}{2}(1)+\dfrac{11}{2}=\dfrac{1}{2}+\dfrac{11}{2}=\dfrac{12}{2}=6\to(1,\ 6)

for x = -5

y=\dfrac{1}{2}(-5)+\dfrac{11}{2}=-\dfrac{5}{2}+\dfrac{11}{2}=\dfrac{6}{2}=3\to(-5,\ 3)

3 0
3 years ago
Perform matrix subtraction to find the values of w,<br> x, y, and z.
fenix001 [56]

Answer:

w = ⇒ 21

x = ⇒ 13

y = ⇒ -11

z = ⇒ -16

Step-by-step explanation:

8 0
4 years ago
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