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kakasveta [241]
3 years ago
13

How to find the vertex of -24 (Y-3) = (x+1)^2

Mathematics
1 answer:
masya89 [10]3 years ago
8 0

Answer:

y=-1/24x^2 -1/12x + 71/24

Step-by-step explanation:

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-5(4x - 2) = -2(3 + 6x)
olga nikolaevna [1]
STEP ONE MULTIPLY: -20x+10=-6-12x
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STEP THREE CONTINUE WITH OTHER SIDE: -8x=-16
STEP FOUR DIVIDE:
x=2

ANSWER: x=2
3 0
3 years ago
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The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students. Rece
nlexa [21]

Answer:

A sample size of 385 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

You feel that a reasonable estimate of the standard deviation is 10.0 hours.

This means that \sigma = 10

What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?

A sample size of n is needed. n is found when M = 1. So

M = z\frac{\sigma}{\sqrt{n}}

1 = 1.96\frac{10}{\sqrt{n}}

\sqrt{n} = 1.96*10

(\sqrt{n})^2 = (1.96*10)^2

n = 384.16

Rounding up:

A sample size of 385 is needed.

7 0
3 years ago
If x=-3 is (x-5)(x-7)<0?​
Eduardwww [97]

Answer: False

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

Replace every x with -3. Then simplify the left side.

(x-5)(x-7) < 0

(-3-5)(-3-7) < 0

(-8)*(-10) < 0

80 < 0 ... this statement is false, 80 is not smaller than 0

----

(x-5)(x-7) < 0  is false when x = -3

8 0
3 years ago
Jack Dossey wears socks of two colours yellow and orange. he has altogether 20 yellow socks and 20 Orange socks in his drawer. s
Flauer [41]

Answer:

2

Step-by-step explanation:

I don't know why am I so bad at math???

8 0
2 years ago
Convert -450° from degrees to radians. (5 points)
ValentinkaMS [17]
Negative five pi divided by two

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