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1 year ago

A company manufactures and sells shirts. The daily profit the company makes

Mathematics

1 answer:

SCORPION-xisa [38]1 year ago

6 0

The domain and the range of a function are the set of input and output values of the function

The domain of the function is [0,200], and the range of the function is [-50,950]

<h3>How to determine the domain and the range</h3>

The function is given as:

f(x) = 5x - 50

Set f(x) to 0, to calculate the domain

When x = 0, we have:

f(0) = 5 * 0 -50

f(0) = -50

When x =200, we have:

f(200) = 5 * 200 - 50

f(200) = 950

This means that, the domain of the function is [0,200], and the range of the function is [-50,950]

Read more about domain and range at:

brainly.com/question/2264373

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If R is the set of all integers with absolute value less than 10, A is its subset containing all natural numbers less than 10 an

Elza [17]

Answer:

See explanation

Step-by-step explanation:

1. R is the set of all integers with absolute value less than 10, thus

$R=\{a\in \mathbb{Z}\ :\ |a|$

2. A is its subset containing all natural numbers less than 10, thus

$A\subset R\\ \\A=\{b\in \mathbb{N}\ :\ b$

3. B is the set of all integer solutions of inequality 2x+5<9 that are less than 10 by absolute value (and therefore, it is also a subset of R). First, solve the inequality:

$2x+5$

Thus,

$B\subset R\\ \\B=\{c\in \mathbb{Z}\ :\ 2c+5$

See the diagram in attached diagram.

Note that

$A\cup B=R\\ \\A\cap B=\{1\}.$

4 0

3 years ago

Simplify.12-16/(-4) A.8 B.-1 C.16 D.1

anygoal [31]

We need to follow PEMDAS.

We need to do the division before we can do the subtract (which becomes into addition because of the signs).

12 - 16/-4

12 - (-4)

12 + 4

16

Your final answer is C. 16.

8 0

3 years ago

A rectangular park, 90 meters by 60 meters, is to be built on a city block having an area of 9000 m^2. A uniform strip borders a

stealth61 [152]

Answer:

x = 10.52 m

Step-by-step explanation:

Given that,

Length of a park = 90 m

Width of a park = 60 m

Area, A = 9000 m²

A uniform strip borders all four sides of the park for parking. We need to find the width of the strip. Let it is x. Now the area becomes,

(90+2x)(60+2x) = 9000

$4x^2 +120x +180x =5400 = 9000\\\\x=10.52\ m$

So, the width of the strip is equal to 10.52 m.

8 0

2 years ago

5750 divided by 3.78

Tems11 [23]

Answer:

1521.16402

Step-by-step explanation:

use fraction- division format $\frac{x}{y}$

$\frac{5750}{3.78}$

Multiply the numerator and denominator by 100

$\frac{575000}{378}$

Reduce by 2

$\frac{287500}{189}$

Now do long division

1521. 164022

189|287500

- 189

985

- 945

400

- 378

220

- 189

310

- 189

1210

- 1134

760

- 756

- 0

400

- 378

5 0

1 year ago

Read 2 more answers

How does your cosine graph change when including the d-value?

fredd [130]

Answer:

Changing value of "d" changes the vertical shift of the cosine graph.

Step-by-step explanation:

Question says to find about how does your cosine graph change when including the d-value.

General equation of cosine function can be given as:

$y=a\cdot\cos\left(bx-c)\right)+d$

In that formula, value of "d" gives vertical shift.

So changing value of "d" changes the vertical shift of the cosine graph.

6 0

3 years ago