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qwelly [4]
3 years ago
11

Math help is this a inverse (show work) k(x)=3x^2-12

Mathematics
1 answer:
Paul [167]3 years ago
4 0

Answer:

sqrt(1/2x+6) = h^-1 (x)

Step-by-step explanation:

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

y = 2x^2 -12

Exchange x and y

x = 2y^2 -12

Solve of y

Add 12 to each side

x+12 = 2y^2

Divide by 2

(x+12) /2 = 2y^2/2

(x+12)/2 =y^2

1/2 x+6 = y^2

Take the square root of each side

sqrt(1/2x+6) = sqrt(y^2)

sqrt(1/2x+6) = y

This is the inverse

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If a recipe for 24 cookies needs 2 cups of flour, how many cups would we need to make 42 cookies?
TEA [102]

Answer:

3 1/2 cups

Step-by-step explanation:

24=2

42=x

24x=84

/24   /24

3.5

6 0
3 years ago
On a map, 1 inch equals 25 miles.Two cities are 3 inches apart on the map.What is the actual distance between the cities?
SVEN [57.7K]

Answer:

75 miles

Step-by-step explanation:

We are given the scale on the map, which is that 1 inch is 25 miles in real life. We can write that as a ratio of 1 inch: 25 miles. Now say we have two inches, then we have 50 miles because we add on another 25 miles, then we do that again and we get to 75 miles.

Another way to think about it (more complicated):

you can represent ratios as a fraction

so we do 1/25=3/x

To find x, we can do (25*3)/1 which equals 75, if you don't know what I did there then you don't know, sorry!

you can also do it in a different way

same scenario though

you represent it as a fraction

and do 1/25=3/x. We see that the ratio from 1 to 3 is multiplied by 3 so that means the ratio from 25 to x is also going to be multiplied by 3, and 25 multiplied by 3 is 75.

Please let me know if you have any questions.

5 0
3 years ago
Read 2 more answers
If Rs 42,000 is left after paying an income tax at the rate of 30%.Find the income
Naddika [18.5K]

Answer:

Total income is 60,000

Step-by-step explanation:

I. if paid rate is 30%, that's mean 42,000 is 70%

II. Perform ratio 70/100 = 42,000/x

                       70*x = 100 * 42,000

                        70x = 4,200,000

                            x = 60,000

III. If you perform 30/100 = x/60,000 will be 42,000

Sorry for late.

                       

5 0
3 years ago
5 left! Help please! So close to being done! a. 75. b. 66 c. 122 d. 98. thank you
user100 [1]

Answer:

98

Step-by-step explanation:

180- 122 = 58

58 + 24= 82

180- 82= 98

5 0
3 years ago
Read 2 more answers
G(a)=a-5 <br> h(a)=2a-4 <br> find g(h(1))
suter [353]

Calculate h(1):

h(a) = 2a - 4 → h(1) = 2(1) - 4 = 2 - 4 = -2

Next calculate g(-2):

g(a) = a - 5 → g(-2) = -2 - 5 = -7

<h3>Answer: g(h(1)) = -7</h3>
5 0
3 years ago
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