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2 years ago

The graph shows the function f(x) = |x – h| + k. What is the value of h?

Mathematics

2 answers:

kherson [118]2 years ago

8 0

Answer:

h = -1.5

Step-by-step explanation:

h is the amount of right-shift in the translation of the function. Here, the shift is 1.5 units to the left (and 3.5 units down). This make h = -1.5 (and k = -3.5).

kiruha [24]2 years ago

6 0

Answer:

$h=-1.5$

Step-by-step explanation:

we know that

In the function $f\left(x\right)=\left|x-h\right|+k$ the vertex of the function is the point $(h,k)$

In this problem we have that

The vertex of the graph is the point $(-1.5,-3.5)$

therefore

the value of h is equal to

$h=-1.5$

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Answer:

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Read 2 more answers

In the United States, 75 percent of adults wear glasses or contact lenses. A random sample of 10 adults in the United States wil

V125BC [204]

Answer:

0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.

Step-by-step explanation:

We are given the following information:

We treat adult adults wear glasses or contact lenses as a success.

P(Adults wear glasses or contact lenses) = 75% = 0.75

Then the number of adults follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(fewer than 8 of the selected adults wear glasses or contact lenses)

$P(x < 8)\\=1 - P(x = 8) - P(x = 9) - P(x = 10)\\=1 - \binom{10}{8}(0.75)^8(1-0.75)^2 - \binom{10}{9}(0.75)^9(1-0.75)^1- \binom{10}{10}(0.75)^10(1-0.75)^0\\=1 - 0.2815-0.1877-0.0563\\= 0.4745$