A computer uses 239 watts per hour. How many watts would it use if it is on for 8 days?

Let f(x)=−3x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 u

deff fn [24]

<h2>Answer:</h2>

Ques 1)

$g(x)=-12x+48$

Ques 2)

$g(x)=|3x|+4$

<h2>Step-by-step explanation:</h2>

Ques 1)

We know that if a graph is stretched by a factor of a then the transformation if given by:

f(x) → a f(x)

Also, we know that the translation of a function k units to the right or to the left is given by:

f(x) → f(x+k)

where if k>0 then the shift is k units to the left

and if k<0 then the shift is k units to the right.

Here the graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.

This means that the function g(x) is given by:

$g(x)=4f(x-4)\\\\i.e.\\\\g(x)=4(-3(x-4))\\\\i.e.\\\\g(x)=-12(x-4)\\\\i.e.\\\\g(x)=-12x+48$

Ques 2)

We know that the transformation of the type:

f(x) → f(x)+k

is a shift or translation of the function k units up or down depending on k.

If k>0 then the shift is k units up.

and if k<0 then the shift is k units down.

Here, The graph of the function f(x)=|3x| is translated 4 units up.

This means that the transformed function g(x) is given by:

$g(x)=|3x|+4$

4 0

1 year ago

In a survey respondents were asked which type of movie they watched most often. the bar graph shows how many males and how many

Y_Kistochka [10]

Males that watched action movies : 13
males that watched drama movies : 5

so there are (13 - 5) = 8 more that watched action then drama

6 0

1 year ago

Read 2 more answers

The Institute of Education Sciences measures the high school dropout rate as the percentage of 16- through 24-year-olds who are

n200080 [17]

Answer:

$Z_{H_0}= -1.85$

Step-by-step explanation:

Hello!

The high school dropout rate, as a percentage of 16- through 24- year-olds who are not enrolled in school and have not earned a high school credential was is 2009 8.1%.

To thest the claim that this percentage has decreased, a polling company takes a random sample of 1000 people between the ages of 16 and 24 and finds out that 6.5% of them are highschool dropouts.

The study variable is

X: Number of individuals with age between 16 and 24 years old that are highschool dropouts.

The parameter of interest is the proportion fo highschool dropouts p

And the sample proportion is p'= 0.065

The hypotheses are:

H₀: p ≥ 0.081

H₁: p < 0.081

To study the population proportion, you have to approximate the distribution of the sampling proportion to normal applying the Central Limit Theorem, then the statistic to use is an approximate standard normal:

$Z_{H_0}= \frac{(p'-p)}{\sqrt{\frac{p*(1-p)}{n} } } = \frac{0.065-0.081}{\sqrt{\frac{0.081*0.919}{1000} } } = -1.85$