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ss7ja [257]
3 years ago
14

Determine whether the polynomial below can be factored into perfect squares. If so, factor the polynomial. Otherwise, select tha

t it cannot be factored into a perfect square.

Mathematics
2 answers:
kifflom [539]3 years ago
5 0

Answer:

Option A. (9x - 12)²

Step-by-step explanation:

We will factorize the given polynomial into perfect square.

The polynomial is 81x²- 216x + 144

We will take 9 common out of this polynomial first

81x² - 216x + 144 = 9(9x² - 24x + 16)

= 9[(3x)² - 2(3)(4)x + 4²]

= 9[(3x - 4)²

= 3²(3x - 4)²

= (9x - 12)²

Therefore, Option A. (9x - 12)² is the answer.

kkurt [141]3 years ago
3 0

Answer:

A. =(9x-12)^2

Step-by-step explanation:

We need to determine whether the polynomial 81x^2-216x+144 can be factored into perfect squares. If so, factor the polynomial. Otherwise, select that it cannot be factored into a perfect square.

81x^2-216x+144

=9(9x^2-24x+12)

=9(9x^2-12x-12x+12)

=9(3x(3x-4)-4(3x-4))

=9(3x-4)(3x-4)

=9(3x-4)^2

=3^2(3x-4)^2

=(3(3x-4))^2

=(9x-12)^2

Hence choice A. =(9x-12)^2 is correct.

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Answer:

Shape: Approximately Normal

Center: 20 minutes

Variability: 6.5 minutes.

4 0
3 years ago
Which graph represents the solution set of the system of inequalities? {x+y<12 y≥x−4
RSB [31]

Answer: The graph in the bottom right-hand corner

(see figure 4 in the attached images below)

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

Explanation:

Let's start off by graphing x+y < 1. The boundary equation is x+y = 1 since we simply change the inequality sign to an equal sign. Solve for y to get x+y = 1 turning into y = -x+1. This line goes through (0,1) and (1,0). The boundary line is a dashed line due to the fact that there is no "or equal to" in the original inequality sign. So x+y < 1 turns into y < -x+1 and we shade below the dashed line. The "less than" means "shade below" when y is fully isolated like this. See figure 1 in the attached images below.

Let's graph 2y >= x-4. Start off by dividing everything by 2 to get y >= (1/2)x-2. The boundary line is y = (1/2)x-2 which goes through the two points (0,-2) and (4,0). The boundary line is solid. We shade above the boundary line. Check out figure 2 in the attached images below.

After we graph each individual inequality, we then combine the two regions on one graph. See figure 3 below. The red and blue shaded areas in figure 3 overlap to get the purple shaded area you see in figure 4, which is the final answer. Any point in this purple region will satisfy both inequalities at the same time. The solution point cannot be on the dashed line but it can be on the solid line as long as the solid line is bordering the shaded purple region. Figure 4 matches up perfectly with the bottom right corner in your answer choices.

5 0
2 years ago
Read 2 more answers
Please help me with this thank you !!
andreev551 [17]
I think the answer is b i've never learned this sorry :(
4 0
2 years ago
Read 2 more answers
Helllllllllllilllllyyeneyneyn
Deffense [45]

Answer:

b

Step-by-step explanation:

6 0
2 years ago
Is this right? Please help me
aliina [53]
I think you’re right because I put the same thing on my quiz
5 0
3 years ago
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