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Ganezh [65]
3 years ago
6

Find the inverse of the linear function y=1/2x+3.

Mathematics
2 answers:
Anni [7]3 years ago
7 0

Answer:

2(x-3) = y

Step-by-step explanation:

y = 1/2 x +3

To find the inverse, exchange x and y and then solve for y

Exchange x and y

x = 1/2y +3

Then solve for 3

Subtract 3 from each side

x-3 = 1/2 y -3+3

x-3 = 1/2 y

Multiply each side by 2

2 (x-3) = 1/2 *2 y

2(x-3) = y

This is the inverse

Natasha_Volkova [10]3 years ago
6 0

Interchange the variables:

x = 1/2y + 3

Solve for y:

Subtract 3 from each side:

x-3 = 1/2y

Multiply both sides by 2:

2x-6 = y

Rewrite the equation with y on the left side:

y = 2x-6

Replace y with f^-1(x):

f^-1(x) = 2x-6

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Step-by-step explanation:

6t-13t+18t6t-13t+18t6t-13t+18t

4 0
3 years ago
Listed in the Item Bank are individual steps that need to be ordered.
Sav [38]

Answer: - 3.75  <  - 0.55  <  - 12  <  - 15  <  - 0.03

Step-by-step explanation: that is the answer i just did it on my computer good luck!

6 0
2 years ago
the length of a rectangle is 5 less than 8 times the width.if the perimeter is 115,find the length of the rectangle.​
Artemon [7]

Answer:

5 & 5/6

Step-by-step explanation:

length =8W -5

W+ W + 8W-5 +8W-5 = 115

2W + 16W -10

18W-10=115

18W =105

W = 5 and 5/6

3 0
3 years ago
Existen tres órdenes de producción en proceso. Las ordenes A y B juntas tienen 150 unidades; B y C juntas, 100 unidades, y A y
Oksanka [162]
Orders are a, b, c, lets write equations to represent the problem's info:
a + b = 150
b + c = 100
a + c = 150
so we have 3 unknowns and 3 equations, so we can solve.
<span>Use the first equation:
a + b = 150
</span>a = 150 - b
and substitute in the 3rd:
<span>a + c = 150
</span>150 - b + c = 150
then
b = c
and we can substitute that in the original equation:
<span>b + c = 100
</span>2b = 100
b = 50
c = 50
and substitute in the first equation:
<span>a + b = 150
</span>a = 150 - b = 150 - 50
a = 100
then a = 100, b = c = 50
3 0
3 years ago
A<br> (5x − 3)°<br> B<br> E<br> (7x+15)°<br> D<br> (6y + 7)°<br> C
marishachu [46]

Answer:

The value of x = 14 ...

The value of ∠AED = ( 7x + 15) = 7(14) + 15 = 113

The value of ∠AEB = 5x-3 = 5(14) -3 = 67

Step-by-step explanation:

=> ∠BEC = ∠AED { vertically opposite angles }

∠AED = (7x + 15)°

=> ∠AEB + ∠BEC = 180° { linear pair }

=> ( 5x-3) + ( 7x+15) = 180°

=> 5x -3 + 7x + 15 = 180°

=> 12x + 12 = 180°

=> 12( x +1 ) = 180°

=> x+1 = 180/12

=> x +1 = 15

=> x = 15-1

=> x = 14

6 0
2 years ago
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