Ask question

Ask question

All categories

antiseptic1488 [7]

3 years ago

7

If the inverses of two functions are both functions, will the inverse of the sum or difference of the original functions also be

a function?

1 answer:

e-lub [12.9K]3 years ago

3 0

Difference of the original functions will be a function.

You might be interested in

Gideon has a rectangular garden with an area of 19.6 square feet. If the length of the garden is 4.3 feet, what is the length of

Allushta [10]

The length of the diagonal of the garden with 19.6 square feet and 4.3 length is : 6.3 feet

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

A rectangle is a quadrilateral with four sides and four vertices each of angle 90°.

Analysis:

Area of rectangle: 19.6 square feet

length of one side = 4.3 feet

width of one side = Area/length = 19.6/4.3 = 4.6 feet

the diagonal and width and length of a rectangle for a right angle triangle.

To find the diagonal, we use Pythagoras theorem

$(diagonal)^{2}$ = $(length)^{2}$ + $(width)^{2}$

$(diagonal)^{2}$ = $(4.3)^{2}$ + $(4.6)^{2}$

$(diagonal)^{2}$ = 39.7

diagonal = $\sqrt{39.7}$ = 6.3 feet

in conclusion, the diagonal of the rectangular garden is 6.3 feet

Learn more about quadrilateral: brainly.com/question/23935806

#SPJ1

8 0

2 years ago

The values of w is inversely proportional to m .if w=8 then m=25; what is m when w=20?

iren2701 [21]

Answer:

m = 10

Step-by-step explanation:

Given w is inversely proportional to m then the equation relating them is

w = $\frac{k}{m}$ ← k is the constant of variation

To find k use the condition w = 8, m = 25 , then

8 = $\frac{k}{25}$ ( multiply both sides by 25 )

200 = k

w = $\frac{200}{m}$ ← equation of variation

When w = 20 , then

20 = $\frac{200}{m}$ ( multiply both sides by m )

20m = 200 ( divide both sides by 20 )

m = 10

3 0

3 years ago

Isaiah is having his house painted. He paid $525 for the required materials, and he will pay $30 an hour for the painters to com

alukav5142 [94]

Answer:

Step-by-step explanation:

x is the amount of hours it will take. Since he pays $30 per hour, your answer would be 30x + 525

7 0

3 years ago

PLEASE HELP! I do not understand as to what they are asking for me to do and how to do it.

Ymorist [56]

Answer:

<em>1 cm^2 : 9 m^2</em>

Step-by-step explanation:

The scale factor of an area is the square of the scale factor of a length.

The scale for lengths is 1 cm : 3 m.

You now square that scale to get the scale of the areas.

Scale of areas:

(1 cm)^2 : (3 m)^2

1 cm^2 : 9 m^2

3 0

3 years ago

Which point would be a solution to the system of linear inequalities ?

brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

$y\leq \frac{4}{3}x+5$ ----> inequality A

$y\geq -\frac{5}{2}x+5$ ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

<u><em>Verify each point</em></u>

Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

$-1\leq \frac{4}{3}(0)+5$

$-1\leq5$ ----> is true

Inequality B

$-1\geq -\frac{5}{2}(0)+5$

$-1\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

$3\leq \frac{4}{3}(0)+5$

$3\leq5$ ----> is true

Inequality B

$3\geq -\frac{5}{2}(0)+5$

$3\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

$-6\leq \frac{4}{3}(-6)+5$

$-6\leq-3$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(-6)+5$

$-6\geq 20$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

$-6\leq \frac{4}{3}(12)+5$

$-6\leq21$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(12)+5$

$-6\geq -25$ ----> is true

therefore

The ordered pair is a solution of the system (makes true both inequalities)

8 0

3 years ago