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saul85 [17]
3 years ago
14

The one-to-one functions g and h are defined as follows.

Mathematics
1 answer:
never [62]3 years ago
3 0

Answer:

g^−1(7) = 6

h^−1(x) = x/2 + 3/2

(h^−1 ∘ h)(3) = 3

Step-by-step explanation:

If

g(6) = 7

Then

g^−1(7) = 6

h(x) = 2x - 3

Isolate x:

2x = h(x) + 3

x = h(x)/2 + 3/2

Replace x with h^−1(x) and h(x) with x:

h^−1(x) = x/2 + 3/2

We know that:

(h^−1 ∘ h)(x) = x

then:

(h^−1 ∘ h)(3) = 3

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Plz help me really really fast this is my last question to work on
Artyom0805 [142]

Answer:

$5

Step-by-step explanation:

25 = 4e + 5

20 = 4e

5 = e

reach eraser costs $5.

6 0
3 years ago
Can someone confirm this? is it correct?
EastWind [94]
<span>60 Sorry, but the value of 150 you entered is incorrect. So let's find the correct value. The first thing to do is determine how large the Jefferson High School parking lot was originally. You could do that by adding up the area of 3 regions. They would be a 75x300 ft rectangle, a 75x165 ft rectangle, and a 75x75 ft square. But I'm lazy and another way to calculate that area is take the area of the (300+75)x(165+75) ft square (the sum of the old parking lot plus the area covered by the school) and subtract 300x165 (the area of the school). So (300+75)x(165+75) - 300x165 = 375x240 - 300x165 = 90000 - 49500 = 40500 So the old parking lot covers 40500 square feet. Since we want to double the area, the area that we'll get from the expansion will also be 40500 square feet. So let's setup an equation for that: (375+x)(240+x)-90000 = 40500 The values of 375, 240, and 90000 were gotten from the length and width of the old area covered and one of the intermediate results we calculated when we figured out the area of the old parking lot. Let's expand the equation: (375+x)(240+x)-90000 = 40500 x^2 + 375x + 240x + 90000 - 90000 = 40500 x^2 + 615x = 40500 x^2 + 615x - 40500 = 0 Now we have a normal quadratic equation. Let's use the quadratic formula to find its roots. They are: -675 and 60. Obviously they didn't shrink the area by 675 feet in both dimensions, so we can toss that root out. And the value of 60 makes sense. So the old parking lot was expanded by 60 feet in both dimensions.</span>
8 0
3 years ago
500+2000+45+338+2145​
Semenov [28]

Answer:

5,028

Step-by-step explanation:

7 0
3 years ago
Which any quality represents the statement the sum of -3 and a number is at least 5
Artyom0805 [142]
5 is less than or equal to -3+x
5 0
2 years ago
An airplane covers 94 miles in 1/6 of an hour. How many miles the plane can cover in 6 hours?
jeyben [28]

Let's find what 1/6 of an hour is.

1/6×60=10

So, ten minutes is equal to 1/6 of an hour. Let's find hour many sets of 10 minutes are in six hours. Let's first find the amount of minutes.

6×60=360

360÷10

36

Let's multiply that by 94.

94×36

3,384 miles in 6 hours.

7 0
3 years ago
Read 2 more answers
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