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GenaCL600 [577]
3 years ago
15

What is the value of p in the linear equation 24p + 12 – 18p = 10 + 2p – 6?

Mathematics
1 answer:
MrMuchimi3 years ago
6 0

The correct answer is -2 I just took the test.

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What is the equation of the polynomial function?
dolphi86 [110]

Answer:

f(x) = (1/2)(x-2)^2(x+1)(x+2)

Step-by-step explanation:

You can determine this by looking at the zeroes of the graph. For any zero that goes through the x-axis, the power of that zero is odd. For any zero that that "bounces" from the x-axis, the power of that zero is even.

Starting from left to right, we can see that the first zero, -2, goes through the x-axis. That means (x+2) is raised to an odd power. The second zero, -1, also goes through, so (x+1) is raised to an odd power. The last zero, 2, bounces off the x-axis, so (x-2) is raised to an even power. The only functions that satisfy this criteria are function 1 and 2.

However, we are not done yet. We need to figure out which multiplier value (1/2, 1/4) is correct. To do this, we plug in 0 for x, since we know that the y-intercept is 4. When we plug in 0, we see that f(0) = 4 for the first function. Therefore, the first function is the answer.

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7 0
4 years ago
Find the standard deviation of the data, 12, 19, 9.
jek_recluse [69]

Answer:

4.19

Step-by-step explanation:

Find the mean:

\text{Mean}=\frac{12+19+9}{3}=\frac{40}{3}

Find the standard deviation:

\text{Standard Deviation}=\sqrt{\frac{(12-\frac{40}{3})^2+(19-\frac{40}{3})^2+(9-\frac{40}{3})^2}{3}}=\sqrt{\frac{158}{9}}\approx4.19

4 0
2 years ago
James wants to build a wooden planter box for his garden with a volume of 100 cubic feet. If he constructed the planter with a h
EastWind [94]

Answer:

The length of the box is 10 feet.

Step-by-step explanation:

You have to work backwards to find volume, so just divide the volume (100) by the height (2) then divide that by the width (5) and you get your answer, 10

7 0
3 years ago
I’m currently working on my quadrilaterals unit (specifically with trapezoids & kites) and I need major help on a lot of the
allochka39001 [22]

Answer: 29.2

Step-by-step explanation:

The lengths of the two longer legs are both \sqrt{8^2 + 4^2}=\sqrt{80}

The lengths of the two shorter legs are both \sqrt{4^2+4^{2}}=\sqrt{32}

So P=2\sqrt{80}+2\sqrt{32} \approx 29.2

5 0
2 years ago
Read 2 more answers
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