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3 years ago

Quadratic Functions Put the equationy = x^2 + 14a + 40 into the form y = (x - h )^2 + k: Answer: y Preview Get help: Video Poins

Mathematics

1 answer:

Artist 52 [7]3 years ago

5 0

Answer:

The required form is $y=(x+7)^2-9$ .

Step-by-step explanation:

Consider the provided quadratic function.

$y=x^2 + 14x + 40$

We need to put the equation into the form $y = (x - h )^2 + k$

Add and subtract 49 in order to make the above function a perfect square.

$y=x^2 + 14x+49-49 + 40$

$y=x^2 + 14x+7^2-49 + 40$

$y=(x+7)^2-49 + 40$

$y=(x+7)^2-9$

Hence, the required form is $y=(x+7)^2-9$ .

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Whats the median of (20, 15, 14, 16, 17, 12, 20, 22)

Tatiana [17]

Answer:

16.5

Step-by-step explanation:

Given data to us is ,

20, 15, 14, 16, 17, 12, 20, 22 .

Arrange it in ascending order .

= 12 , 14 , 15 , 16 , 17 , 20 , 20 , 22

The middle most observation will be median in case n is odd and average of middlemost observations if n is even , that is n = 8 .

=> Middlemost observations = 16 , 17

=> Mean = 16 + 17 /2 = 33/2 = 16.5

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2 years ago

According to the Stack Overflow Developers Survey of 20184, 25.8% of developers are students.The probability that a developer is

murzikaleks [220]

Answer:

0.0326 = 3.26% probability that she is a student.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Woman developer

Event B: Student

Probability that the developer is a woman:

7.4% of 25.8%(students).

76.4% of 100 - 25.8 = 74.2%(not students). So

$P(A) = 0.074*0.258 + 0.764*0.742 = 0.58598$

Student and woman developer.

7.4% of 25.8%(students), so

$P(A \cap B) = 0.074*0.258 = 0.019092$

If we encounter a woman developer, what is the probability that she is a student

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.019092}{0.58598} = 0.0326$

0.0326 = 3.26% probability that she is a student.

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2 years ago

Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31) .

Zinaida [17]

Answer:

$\sf y=9x-5$

Step-by-step explanation:

$\begin{aligned}&\sf y-y_1=m(x-x_1) \\&\sf y-31=9(x-4) \\&\sf y-31=9x-36 \\&\sf y=9x-36+31 \\&\boxed{\sf y=9x-5} \end{aligned}$

6 0

2 years ago

Read 2 more answers

How can you use division to find the decimal equivalent of a rational number ?

Naily [24]

Answer:

Rational numbers' decimal representations either finish or repeat a pattern. Divide the top by the bottom, the numerator by the denominator to convert fractions to decimals, and if the division doesn't come out evenly, round off after a specific number of decimal places.

Step-by-step explanation:

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2 years ago

Find the perimeter of WXYZ. Round to the nearest tenth if necessary.

yanalaym [24]

Answer:

C. 15.6

Step-by-step explanation:

Perimeter of WXYZ = WX + XY + YZ + ZW

Use the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ to calculate the length of each segment.