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2 years ago

The function y=x²-4x+8 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one

Mathematics

1 answer:

trapecia [35]2 years ago

7 0

When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet , Minimum at (2,4)

Therefore Option C and D is the correct answer.

<h3>What is a Quadratic Function?</h3>

The equation for a quadratic function is given by

y = a(x-h)² +k²

where (h,k) is the extreme value(vertex).

Here the equation given is

y = x²-4x +8

y = x²-4x+4+4

y = (x-2)² +4

Here the value of a = 1 , h = 2 and k = 4

The extreme value is at (2,4)

Therefore When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet , Minimum at (2,4)

Therefore Option C and D is the correct answer.

To know more about Quadratic Function

brainly.com/question/5975436

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The complement of angle A is 38 degrees more than angle A

ozzi

I assume that you want the measurement of angle A
A + (A + 38) = 90
angle A + (38 more than angle a) = are complementary
2A = 52
A = 26

Hope this helps. If it did, consider making it Brainliest!

8 0

3 years ago

Read 2 more answers

Y = x^2 - 2x - 8<br> i need the y-intercept , the vertex , and the axis of symmetry

Aloiza [94]

The answer would be
vertex = (1,-9)
y- intercept = (0,8)
axis of symmetry= x = 1

i hope this helped :)

4 0

3 years ago

Solve for x if 5x + 6 = 16<br><br> A) x=5<br> B) x=6<br> C) x=1<br> D) x=2

KIM [24]

Answer:

the answer is D

Step-by-step explanation:

5x+6=16

-6 -6

5x=10

divide both sides by five

x=2

3 0

3 years ago

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What is 101,949 rounded to the nearest 100 thousand

lord [1]

To answer this question you always need to look at the number before it; if its 5 or higher you round up and if it's 4 or lower you round down. So the answer is 100,000 since the number before is 0.

6 0

4 years ago

When Nayeli goes bowling, her scores are normally

Ber [7]

Using the normal distribution, it is found that she scores less than 128 in 28.1% of her games.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by $\mu = 135, \sigma = 12$ .

The proportion of games in which she scores less than 128 is the <u>p-value of Z when X = 128</u>, hence:

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

$Z = \frac{128 - 135}{12}$

Z = -0.58

Z = -0.58 has a p-value of 0.281.

She scores less than 128 in 28.1% of her games.

More can be learned about the normal distribution at brainly.com/question/24663213

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3 0

2 years ago