All categories

3 years ago

Please help with question 22. Find a reasonable domain and range for each function. Help Help!! And please explain

Mathematics

1 answer:

steposvetlana [31]3 years ago

6 0

Hey Meri!

x represents the numbers of gallons of gas in the vehicle.
The values x can represent is called our domain.

x can not take on negative values,
it wouldn't make sense to have a negative amount of gas in the car, right?

So the lower limit on our domain is zero.

The car can hold up to 17 gallons of gas,
that should make it clear what the upper limit on our domain is.

The range is the distance traveled on these gallons of gas.

If zero gallons of gas are put into the car,
then no distance will be traveled.
So the low end of our range will be zero.

If 17 gallons of gas are put into the car,
then what distance can the vehicle travel?
Use your function to determine the upper end of your range.

You might be interested in

The value of a specific piece of machinery depreciates at a rate of 10% per year. The initial value of the machinery is $400. Fi

tatiyna

Answer:

$ 236.20

Step-by-step explanation:

where n is the number of years.

v = 400(1 - 0.10)ⁿ

v = 400(0.9)⁵ = 236.196

3 0

3 years ago

Which statement about the dilation of these triangles is true?

Gwar [14]

Given:

The figure of two triangles.

To find:

The scale factor.

Solution:

We know that,

$\text{Scale factor}=\dfrac{\text{Side of Image}}{\text{Corresponding side of original figure}}$

In the given figure,

$\text{Scale factor}=\dfrac{5(2)}{5}$

$\text{Scale factor}=2$

The scale factor is 2. Therefore, the correct option is B.

7 0

3 years ago

The 2004 presidential election exit polls from the critical state of Ohio provided the following results. There were 2020 respon

lord [1]

Answer: a) $0.490\leq p\leq0.582$

b) $0.501\leq p$

Step-by-step explanation:

Given : Sample size of respondents in the exit polls : n= 2020

Number of respondents voted for George Bush = 412

Sample proportion: $\hat{p}=\dfrac{412}{768}\approx0.536$

a) Critical value for 99% confidence level : $z_{\alpha/2}=2.576$

Confidence interval for proportion:-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$=0.536\pm (2.576)\sqrt{\dfrac{0.536(1-0.536)}{768}}\\\\=0.536\pm0.046\\\\=(0.490,\ 0.582)$

Hence, the 99% confidence interval for the proportion of college graduates in Ohio that voted for George Bush: $0.490\leq p\leq0.582$

b) Critical value for 95% confidence level : $z_{\alpha/2}=1.96$

Lower confidence bound for the proportion :

$\hat{p}- z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.536-(1.96)\sqrt{\dfrac{0.536(1-0.536)}{768}}\\\\=0.536-0.035=0.501$

Hence, a 95% lower confidence bound for the proportion of college graduates in Ohio that voted for George Bush : $0.501\leq p$

7 0

3 years ago

Read 2 more answers

Katie bought 4 sweaters that each cost the same amount and 1 skirt that cost $20 .the items she bought cost a total of $160 befo

lorasvet [3.4K]

In order to solve this you first need to take $20 subtracted from 160 that leaves you with 140 next because she bought 4 sweaters you need to divide your remaining cash spent by 4 to get a total of $35 a sweater.

6 0

3 years ago

Read 2 more answers

For a history fair, a school is building a circular wooden stage that will stand 2 feet off the ground. Find the area of the sta

IrinaK [193]

Answer:

roughly 452.16 feet squared

Step-by-step explanation:

7 0

4 years ago