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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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You go to Home Depot to buy some materials for a project. Your total bill for materials only was $45.90. You go to the check out
IrinaVladis [17]

Answer:

$34.20

Step-by-step explanation:

First, find the cost with tax

You are paying 7.2% tax, but you are also paying for 100% of the bill

100%+7.2%=107.2%

So, you are really paying for 107.2% of the bill

Convert 107.2% to a decimal by dividing by 100 or moving the decimal 2 spaces to the right

107.2/100=1.072

Multiply the decimal by the cost of the bill

1.072*45.90=49.2048

But, we also have a coupon for $15 off

Subtract 15 from the cost with tax

49.2048-15=34.2048

Round to the nearest cent/hundreth

$34.20

Hope this helps! :)

6 0
2 years ago
Estimate by rounding to the nearest ten. Then, find the sum<br> 376+266<br> The estimated sum is
harina [27]
The answer should be found by rounding 376 to 380 and 266 to 270....you will get 650
3 0
2 years ago
Read 2 more answers
PLEASE HELP! REWARDING BRAINLIEST
TEA [102]
X+2y=2 …(1)
x-2y=-2…(2)

(1)-(2): (x+2y)-(x-2y)=2- (-2)
4y=4
y=1

subs y=1 into(1)
x+2(1) =2
x=0

so x =0 y=1
the answer is C
7 0
3 years ago
Integral of cotxlogsinx
Shtirlitz [24]
Hello there is a solution : 

3 0
3 years ago
The mean score on a set of 17 test is 72. Suppose two more students take the test and score 68 and 63. What is the new mean?
Masja [62]

Answer:

New mean=71.32

Step-by-step explanation:

The expression for the total initial score is;

T=M×S

where;

T=total initial score

M=mean score

S=number in the set

replacing;

T=unknown

M=72

S=17

replacing;

T=72×17=1,224

The total initial score=1,224

Determine the total score by;

total score=total initial score+total final score

where;

total initial score=1,224

total final score=(68+63)=131

replacing;

total score=1,224+131=1,355

Determine the new mean;

New mean=total score/new number

where;

total score=1,355

new number=(17+2)=19

replacing;

new mean=1,355/19=71.32

8 0
3 years ago
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