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ExtremeBDS [4]
2 years ago
12

How to find the GCF, How to find the factor out the GCF, and what are the solutions.

Mathematics
1 answer:
klasskru [66]2 years ago
3 0

Answer:

GCF = 3

Factor = 3(x^2-100)=0

Solutions are: x = 10, -10

Step-by-step explanation:

You have to factor out GCF which is 3 which then makes the equation 3(x^2-100)=0. After that you basically have (x^2-100)=0. Which then you solve for x which is a difference of squares and the answers are 10 and -10 for x.

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If g(x) = 2x2 + 6x + 5, use synthetic division to find g(-5).
diamong [38]
<h3>Answer:  25</h3>

=================================================

Explanation:

Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).

Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.

As a way to check the answer, we can say

g(x) = 2x^2 + 6x + 5

g(-5) = 2(-5)^2 + 6(-5) + 5

g(-5) = 25

So the answer is confirmed.

6 0
3 years ago
line j is perpendicular to lines m and n. if the products of the slope of all three lines is -8, what is the slope of line j?
jeka94

Answer:

the slope of line j is -1/8, the slope of lines m and n are both 8.

Explanation step by step:

Suppose j is the slope of line j, m the slope of line m and n the slope of line n. Since:

1. line j is perpendicular of line m, so j*m= -1

2. J is perpendicular of line n, so  j*n=-1

3. m and n and parallel so m=n

As we want to know the slope of j we clear the equations presented to us in order to find it.

(1) m* n* j = -8, since n=m we have  n^{2}* j = -8.

we clear j; n^{2} * j = -8 \\ j =\frac{-8}{n^{2} }

replacing in the equation n*j = -1 we get

n*(-8/n^2) = -1. Thus n = 8. Since j = -1/n = -1/8.

7 0
3 years ago
Solve the system of equations - 6x + 8y = –10 and - 4x + y = –11 by<br> combining the equations.
elena55 [62]
Answer: (3, 1) :)

Explanation:
-6x + 8y = -10
-4x + y = -11
-32x + 8y = -88
26x = 78
x = 3
-18 + 8y = -10
8y = 8
y = 1

(Also, can I have brainliest please?)
5 0
2 years ago
The functions f (x) = 1/2x-3 and g(x) = -2x+ 2 intersect<br> at x = -2. True or false?
Norma-Jean [14]

9514 1404 393

Answer:

  False

Step-by-step explanation:

f(-2) = (1/2)(-2) -3 = -1 -3 = -4

g(-2) = -2(-2) +2 = 4 +2 = 6

The function values are not the same at x=-2, so the graphs do not intersect there.

__

The graphs intersect at x=2.

4 0
3 years ago
Please help me thanks please
tatiyna

Answer: 2827 cm squared is the answer

4 0
3 years ago
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