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maw [93]
2 years ago
7

What is the inverse of the function?

Mathematics
1 answer:
Ket [755]2 years ago
6 0

Step-by-step explanation:

h(x)=¾x +12

let h(x)=y

y=¾x +12

y=3x/4 +12

4y=3x+48

3x=48-4y

x=(48-4y)/3

replace x with h-¹

h-¹(x)=(48-4x)/3

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For each part below, give an example of a linear system of
N76 [4]

Answer:

a)g: 3x + 4y = 10   b) a:x+y = 5           c) c: 3x + 4y = 10

h: 6x + 8y = 5         b:2x + 3y = 8         d: 6x + 8y = 5

Step-by-step explanation:

a) Has no solution

g: 3x + 4y = 10

h: 6x + 8y = 5

Above Equations  gives  you  parallel lines refer attachment

b) has exactly one solution

a:x+y = 5

b:2x + 3y = 8

Above Equations  gives  you  intersecting lines refer attachment

c) has infinitely many solutions

c: 3x + 4y = 10

d: 6x + 8y = 5

Above Equations  gives  you  collinear lines refer attachment

i) if we add   x + 2y = 1 to equation x + y = 5 to make an inconsistent system.

ii) if we add   x + 2y = 3 to equation x + y = 5 to create infinitely system.

iii) if we add  x + 4y = 1 to equation x + y = 5 to create infinitely system.

iv) if we add to x + y =5 equation x + y = 5  to change the unique solution you had  to a different unique solution

7 0
2 years ago
Find the area of the figure.
AURORKA [14]

Answer:

28.5 united squared

5 0
2 years ago
Read 2 more answers
The perimeter of a rectangle room is 250 feet the length is 35 feet less than three times the width what is the length of the ro
raketka [301]
Perimeter of rectangle:
P = 2(L + W)
P = 250 (given)
L = 3W - 35 (given)

250 = 2(3W -35 + W) ↔ 125 = 4W - 35

4W = 125 +35 =160 And W = 40 ft
And L = 3x40 - 35 = 85 ft


6 0
3 years ago
What are two different ways in which you can use prime factorization to find the prime factors of a number
LekaFEV [45]
You can line them up underneath each other and skip count is one way like this :

2; 2,4,6,8,10
4; 4,8,12,16,

and your answer would be 8 because it is a common number between 2 and 4
6 0
3 years ago
A tennis ball is in a cylindrical container. The ball has a radius of 5 inches and the cylinder has a height of 8 inches. How mu
Nostrana [21]

Answer:

104.7 in^3

Step-by-step explanation:

Step one:

given data

The ball has a radius of 5 inches and

the cylinder has a height of 8 inches

Step two:

The volume of the cylinder

v= \pi r^2 h

substitute our data

v= 3.142*5^2*8\\\\v=628.4in^3

The volume of the ball

v=4/3 \pi r^3

substitute our data

v= 4/3 *3.142*5^3\\\\v= 523.7 in^3

The space will have a volume of

=628.4-523.7

=104.7 in^3

7 0
2 years ago
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