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djyliett [7]
3 years ago
7

Hey can you please help me posted picture of question

Mathematics
1 answer:
Snezhnost [94]3 years ago
3 0
The equation for a parabola can also be written in the "vertex form":
 y = a (x - h) ^ 2 + k
 In this equation, the vertex of the parabola is the point (h, k).
 We have then:
 y = a (x - (-5)) ^ 2 + -2
 Substituting the given point:
 2 = a (-4 - (-5)) ^ 2 + -2
 Clearing a:
 2 = a-2
 a = 4
 Answer:
 
a = 4
 
option B
You might be interested in
Solve the system of equations 5x-2y=88 3x+4y=58 show all work
diamong [38]
The given equations are:

5x - 2y = 88
3x + 4y =  58

Multiplying the 1st equation by 2, we get the new set of equations as:

10x - 4y = 176
3x + 4y = 58

Adding the two equations, we get:

10x - 4y + 3x + 4y = 176 + 58
13x =234
x =  18

Using the value of x in 1st equation, we get:

5(18) - 2y = 88
- 2y = 88 -5(18)
-2y = -2
y = 1

So, the solution of the equation is (18, 1)

6 0
3 years ago
Read 2 more answers
Which shows the expression (4a ^ 5 * b) ^ 3 simplified?
marshall27 [118]
(4a^5*b)^3 is simplified to
= 64a^15b^3
6 0
3 years ago
Nine is 4 percent of what number
Katarina [22]

Answer:

225

Step-by-step explanation:

We can model this question with:

9 = 0.04x

x represents "what number."

0.04x = 9.

Divide 0.04 from both sides

0.04x ÷ 0.04 = 9 ÷ 0.04

9 ÷ 0.04 = 225.

Therefore, 9 is 4% of 225.

5 0
2 years ago
Read 2 more answers
The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an
ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 20, \sigma = 2

a)Less than 19.5 hours?

This is the pvalue of Z when X = 19.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{19.5 - 20}{2}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013.

40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b)Between 20 hours and 22 hours?

This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So

X = 22

Z = \frac{X - \mu}{\sigma}

Z = \frac{22 - 20}{2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 20

Z = \frac{X - \mu}{\sigma}

Z = \frac{20 - 20}{2}

Z = 0

Z = 0 has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

4 0
3 years ago
1+sin^2 x = 2-cos^2 x
Alinara [238K]
1+sin²x=2-cos²x
Remenber:   sin²x+cos²x=1      ⇒sin²x=1-cos²x
 
1+sin²x=1+(1-cos²x)=2-cos² x       (this is true)

3 0
2 years ago
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