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laiz [17]
3 years ago
10

Based on the polynomial reminder theorem, what is the value of the function when x= -5

Mathematics
2 answers:
densk [106]3 years ago
5 0

Answer:

-15

Step-by-step explanation:

Given is a polynomial in x

F (x)= x^4 + 12x^3 + 30x^2 - 12x + 70

We have to find the remainder when the above polynomial is divided by x+5

Remainder theorem says that f(x) gives remainder R when divided by polynomial x-a means f(a) = R

Applying the above theorem we can say that value of the function when x =-5

= Remainder when f is divided by x+5

= F(-5)

Substitute the value of -5 in place of x

= (-5)^4 + 12(-5)^3 + 30(-5)^2 - 12(-5) + 70

= 625-1500+750+60+70

= 5

Hence answer is 5

kap26 [50]3 years ago
5 0

<u>Answer:</u>

f(-5)= 5

<u>Step-by-step explanation:</u>

According to the polynomial remainder theorem, when a polynomial f(x) is divided by a linear polynomial (x - a), the remainder of that division will be equal to f(a).

Therefore, substituting the value of x as -5 in the given function to find its value:

f(x) = x^4 + 12x^3 + 30x^2 - 12x + 70

f(-5) = (-5)^4 + 12(-5)^3 + 30(-5)^2 - 12(-5) + 70

f(-5) = 625+(-1500)+750-(-60)+70

f(-5) = 5

Therefore, the value of the given function when x = -5 is 5.

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3x + 7y = 21 –3x – 7y = 42<br> Solve the system of equations?
likoan [24]

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The equations describe parallel lines. There are no values of x and y that will satisfy both equations.

In standard form, the two equations are ...

  3x +7y = 21

  3x +7y = -42 . . . . . with positive leading coefficient

If (x, y) values satisfy the first equation, they cannot satisfy the second equation, and vice versa.

8 0
3 years ago
18-3<br> -18-3<br> -18-(-3)<br> 18-(-3)
Marina CMI [18]

Answer:

1.) 15

2.) -21

3.) -15

4.) 21

Step-by-step explanation:

4 0
2 years ago
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The senior class had a car wash to raise money for the senior trip. It cost them $35 for supplies. They washed 75 cars and charg
nikitadnepr [17]

Answer:

C. 75 • $6 - $35

Step-by-step explanation:

First, 75 times 6 needs to be in the expression to represent how much they raised from washing the 75 cars.

Then, 35 has to be subtracted because that was the cost of the supplies:

So, C is correct, 75 • $6 - $35

5 0
3 years ago
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PLEASE ANSWER!!! i need help asap
IgorC [24]
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7 0
3 years ago
2. Company A packages roofing nails in boxes that are normally distributed with a mean of 276 nails and a standard deviation of
Natali5045456 [20]

Answer:

Company B

Step-by-step explanation:

We would use z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = Standard deviation

let x = 260 with the mean μ1 = 276 and standard deviation σ = 5.8

let x = 260 with the mean μ2 = 252 and standard deviation σ = 3.4

z1 = (x- μ1) / σ = (260- 276) / 5.8 = -2.7586206897 = -2.76

z2 = (x2 - μ) / σ = (260 -252) / 3.4= 2.3529411765 = 2.35

Comparing the two z scores, we can see that company B has the probability of producing 260 nails because it has a z score of 2.35 compared to company A with a z score of -2.76.

6 0
3 years ago
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