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2 years ago

What is the domain and range of -4.92x² + 17.96x + 575

Mathematics

1 answer:

klio [65]2 years ago

6 0

The domain of the function is D ∈ R or (-∞, ∞) and the range of the function is R ∈ (591.39, ∞)

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = -4.92x² + 17.96x + 575

The above function is a quadratic function and we know,

The quadratic function domain is all real numbers.

The domain of the function is all real numbers or

D ∈ R or (-∞, ∞)

The range:

From the graph of a function:

The maximum value of the graph:

f(1.825) = 591.39

So the range of the function:

R ∈ (591.39, ∞)

Thus, the domain of the function is D ∈ R or (-∞, ∞) and the range of the function is R ∈ (591.39, ∞)

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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A flower shop acquired 80 new customers last year. Costs in the marketing and sales areas were the following:

icang [17]

Using proportions, it is found that the Customer Acquisition Cost was of $1,215.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

In this problem, the customer acquisition cost is the spending in sales divided by the number of customers added.

80 customers were added, considering costs of 1200 + 9000 + 87000 = $97,200, hence:

97200/80 = $1,215.

More can be learned about proportions at brainly.com/question/24372153

5 0

2 years ago

How do I solve this?<br><br> x/3 + x^2 + 2x^2 - x/3

Anna11 [10]

Answer:

3x²

Step-by-step explanation:

$\frac{x}{3} + x^{2} +2x^{2} -\frac{x}{3}$ =

$x^{2} +2x^{2}$ =

$3x^{2}$

3 0

2 years ago

If two straight lines intersect and one angle is 30 degrees what are the other three angles

mel-nik [20]

Easey peasy
oposite angle is equal
other angles are supplementary (supplementary means add to 180, and a straight line=180 so if you look at 2 lines intersecting and think for a little bit, you wiill see why)

oposite angle=30
other angle is adds to 180
30+other=180
subtract 30
other=150
other is oposite other other
other=other other
150=other other

angles are
150,30,150

3 0

3 years ago

Read 2 more answers

In order, range, median, mode and mean. Round the mean to the nearest tenth.<br> PLS HELP ASAP

Crazy boy [7]

Answer:

Range: 40

Median: 55

Mode: 72

Mean: 54.6

Step-by-step explanation:

First, let's put all of the numbers down.

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

Now, to find the range, subtract 72 - 32 = 40

To find the median, find the number in the middle

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

Because there are an even amount of numbers we will find the mean of those two numbers which would be 55.

To find the mode, look for the number that appears the most.

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

To find the mean, add everything up.

32, + 34, + 35, + 40, + 41, + 54, + 54, + 56, + 63, + 69, + 70, + 72, + 72, + 72 = 764

Then, divide. 764 ÷ 14 = 54.6 when rounded to the nearest tenth.

I hope that this helps, and you have a great day! :)

3 0

3 years ago

X=4y-2<br>solve for y show work please

Vesna [10]

Answer:

y = 1/4x - 1/2

Step-by-step explanation:

-4y = -x + 2 : Divide both sides by -4

y = 1/4x - 2/4 : Reduce to lowest terms

y = 1/4x - 1/2

8 0

2 years ago

Read 2 more answers