All categories

3 years ago

If the domain of the function f(x)=2x2- 8is {-2, 3, 5}, then the range is

Mathematics

1 answer:

Simora [160]3 years ago

6 0

Answer:

{0, 10, 42}

Step-by-step explanation:

<em>Domain is set of input values and range is set output values.</em>

For the function f(x) = 2x² - 8 and domain set of {-2, 3, 5}

<u>Range is:</u>

f(-2) = 2(-2)² - 8 = 0
f(3) = 2*3² - 8 = 10
f(5) = 2*5² - 8 = 42

<u>Range:</u> {0, 10, 42}

You might be interested in

Nadia needs one cup of ice cream for every student in her class for their year-end party. The ice cream is only sold in pints. I

hoa [83]

The pints of ice cream for the students is an illustration of metric units

Nadia needs 12 pints of ice cream for the 24 students

<h3>How to determine the pints of ice cream?</h3>

The given parameter is:

Students = 24

She needs one cup for each student in the class.

So, the number of cups needed is:

Cups = 24

1 cup makes 1/2 pint.

So, we have:

Pint = 1/2 * 24

Pint = 12

Hence, Nadia needs 12 pints of ice cream for the 24 students

Read more about metric units at:

brainly.com/question/2004114

3 0

1 year ago

Why is the answer to this integral's denominator have 1+pi^2

ss7ja [257]

It comes from integrating by parts twice. Let

$I = \displaystyle \int e^n \sin(\pi n) \, dn$

Recall the IBP formula,

$\displaystyle \int u \, dv = uv - \int v \, du$

Let

$u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Then

$\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn$

Apply IBP once more, with

$u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Notice that the ∫ v du term contains the original integral, so that

$\displaystyle I = e^n \sin(\pi n) - \pi \left(e^n \cos(\pi n) + \pi \int e^n \sin(\pi n) \, dn\right)$

$\displaystyle I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n - \pi^2 I$

$\displaystyle (1 + \pi^2) I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n$

$\implies \displaystyle I = \frac{\left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n}{1+\pi^2} + C$

6 0

2 years ago

How many sides is a decagon? I forgot LOL

umka21 [38]

Answer:

10 sides.

Step-by-step explanation:

In geometry, a decagon is a ten-sided polygon or 10-gon. The total sum of the interior angles of a simple decagon is 1440°. A self-intersecting regular decagon is known as a decagram.

3 0

2 years ago

What is 285.39154 rounded to the nearest hundredth

svp [43]

285.39 I belive the awsner is

3 0

3 years ago

Read 2 more answers

the times that gym members spend on a treadmill are normally distributed with a mean of 20 min and a standard deviation of 8 min

Papessa [141]

<span>Given:
xbar = 20 min
standard deviation = 8 min
total sample = 240

Required:
how many gym members are expected to spend 4 min and 36 min on a treadmill today

Solution:
sd</span>² = (∑(x - xbar)²) / N - 1

there are 42 gym members at 4 minutes and 200 gym members in 36 minutes.

6 0

2 years ago