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scoundrel [369]
3 years ago
15

What is the inverse of the given relation? Y=7x^2+4

Mathematics
1 answer:
EleoNora [17]3 years ago
7 0

follow these steps:

1) y-4=7x^2

2) (y-4)/7 = x^2

x = \sqrt{ \frac{y - 4}{7} }

so you must inverse x and y names:

{f}^{ - 1} (x) = \sqrt{ \frac{x - 4}{7} }

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Help please, I'm stuck on this :/
nlexa [21]

Do you have a calculator? you can solve it by substituting x.

y=16x^2

0: y = 16(0)^2 = 16(0) = 0

(x = 0 , y = 0)

0.5: y = 16(0.5)^2 = 16(0.25) = 4

(x = 0.5 , y = 4)

1: y = 16(1)^2 = 16(1) = 16

(x = 1 , y = 16)

1.5: y = 16(1.5)^2 = 16(2.25) = 36

(x = 1.5 , y = 36)

2: y = 16(2)^2 = 16(4) = 64

(x = 2 , y = 64)

2.5: y = 16(2.5)^2 = 16(6.25) = 100

(x = 2.5 , y = 100)

3 : y = 16(3)^2 = 16(9) = 144

(x = 3 , y = 144)

4: y = 16(4)^2 = 16(16) = 256

(x = 4 , y = 256)

if you multiply a negative number by itself, it will become positive. So, -4, -3, -2.5, -2, -1.5, -1, -0.5 will be the same as the positive 4, 3, 2.5, 2, 1.5, 1, 0.5.

I'm not sure about the pattern, but if you graph it, it'll be symmetrical across the y-axis.

8 0
3 years ago
Solve 2(x-1) =4 xxxxxx
sineoko [7]
2(x-1)=4
2x-2=4
2x=6
x=3
4 0
3 years ago
The difference of four times a number and seven is thirteen
Scrat [10]
4n - 7 = 13

 4n  = 20
n = 5. Hope it helps!

6 0
3 years ago
SOMEONE PLEASE HELP ME ON QUESTIONS 17-19 I NEED ASAP
Lana71 [14]

Answer:

17. 10x+24 OR 108   18. 72   19. 8.4

Step-by-step explanation:

(10x+24)+72=180

10x+96=180

10x=84

x=8.4

10x+24

10(8.4)+24

84+24

108

8 0
3 years ago
Recent statistics have reported that the total area of Brazil is about 3 × 106 square miles, while the total area of Japan is ab
kenny6666 [7]
3time106=318. 2 times 105=210
318-210=108square miles
7 0
3 years ago
Read 2 more answers
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