MATHEMATICS MIDDLE SCHOOL

Factor the polynomial completely.Find a GCF: –2x2 + 2 + 5x3 – 5x
GCF = –2 GCF = 5x
Factor out the GCF: –2(x2 – 1) + 5x(x2 – 1)

Which product of prime polynomials is equivalent to the original polynomial?

(–2 – 5x)(x2 – 1)
(–2 + 5x)(x2 – 1)
(–2 – 5x)(x – 1)(x + 1)
(–2 + 5x)(x – 1)(x + 1)

Answers

Answer 1

Answer:

Answer:

Option D is correct

Step-by-step explanation:

The original polynomial is:

–2x2 + 2 + 5x3 – 5x

Arranging in decreasing power of x:

$5x^3 - 2x^2 -5x+2$

Factoring the given polynomial by grouping:

$5x^3 - 2x^2 -5x+2\n=5x^3-5x- 2x^2+2\n=5x(x^2-1)-2(x^2-1)\n=(5x-2)(x^2-1)$

Now, (x^2-1) can be further solved using formula:

(a^2-b^2)=(a-b)(a+b)

Solving:

$=(5x-2)(x^2-1)\n=(5x-2)(x-1)(x+1)$

So, $(5x-2)(x-1)(x+1)$ represents the factors of $-2x2 + 2 + 5x3-5x$

Hence Option D is correct.

Answer 2

Answer:

Answer: the answer is D

Step-by-step explanation:

the screen has proof it is correct... also please STOP deleting my answers its all ways the same person and its getting really annoying when im giving you the correct answer, im just trying to help :(

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Below are two different function, f(x) and g(x). what can be determined about their slopes?

Answers

Answer:

F(x) has a larger slope.

Step-by-step explanation:

f(x) has a slope of 10 and g(x) has a slope of 9. The slope of f(x) can be found by dividing 800 by 80 (800 / 80 = 10). The slope of g(x) can be found by using the rate of change formula: y2 - y1 / x2 - x1. Choose two of the points from the chart. I'll use (2, -6) and (4, 12). Plug in the numbers so the equation would be 12-(-6) / 4-2. This simplifies to 18 / 2 which is 9.

Ronald paid $162 for 6 tickets to a basketball game during the game he noticed that his friend paid 130 for 5 tickets the price of each ticket was $26 was Ronald overcharge explain

Answers

As for this problem, we take into consideration that it was stated that each ticket costs $26. So if Ronald bought 6 tickets, the cost for all the tickets should have been just $132. His friend bought 5 tickets which was only at $80. Both him and his friend were overcharged. Ronald was overcharged by $30 and his friend was overcharged by $40. They generally paid another ticket with a little more to top on that. This is also an important lesson that since you know the price, you can calculate it itself to avoid being overcharged.

1. Find the area of the unshaded square 2. Find the area of the large square

3. What is the area of the frame represented by the shaded region

Show steps!!

Answers

The large square is 6 by 6 so it has area 6*6 = 36

The small square is 2 by 2 (since 6-2-2 = 2), so it has area 2*2 = 4

The difference in areas is 36 - 4 = 32 which is the area of the shaded region

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In summary:

1. The unshaded square (smallest square) has area 4 square inches

2. The area of the large square is 36 square inches

3. The shaded region (area of the frame) has area 32 square inches

Which ordered pair in the form (a, b) is a solution of this equation?7a – 5b = 28

A.
(4, 0)

B.
(0, 4)

C.
(–2, –3)

D.
(–3, –2)

Answers

$A. \n (4,0) \na=4 \n b=0 \n \Downarrow \n 7 * 4-5 * 0 \stackrel{?}{=} 28 \n 28-0 \stackrel{?}{=} 28 \n 28\stackrel{?}{=} 28 \n 28=28 \ntrue$

$B. \n (0,4) \na=0 \n b=4 \n \Downarrow \n7 * 0 - 5 * 4 \stackrel{?}{=} 28 \n0-20 \stackrel{?}{=} 28 \n-20 \stackrel{?}{=} 28 \n-20 \not= 28 \nnot \ true$

$C. \n(-2,-3) \na=-2 \n b=-3 \n \Downarrow \n7 * (-2) - 5 * (-3) \stackrel{?}{=} 28 \n-14+15 \stackrel{?}{=} 28 \n1 \stackrel{?}{=} 28 \n1 \not= 28 \nnot \ true$

$D. \n(-3,-2) \na=-3 \n b=-2 \n \Downarrow \n7 * (-3) -5 * (-2) \stackrel{?}{=} 28 \n-21 +10 \stackrel{?}{=} 28 \n-11 \stackrel{?}{=} 28 \n-11 \not= 28 \n not \ true$

The answer is A.

What's the answer to -6<21

Answers

Answer:

Step-by-step explanation:

There's no answer here. Because -6<21.

How do u factor polynomials

Answers

Answer:

I can teach you on a video calll

Step-by-step explanation:

hmu if you wanna arrange something

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