Answer:
The inverse of this function would be h(x) = x^5 + 4
Step-by-step explanation:
In order to find the inverse, start by switching the h(x) and the x values. Once you've done that, solve for the new h(x). That will be your inverse.
h(x) = ![\sqrt[5]{x - 4}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%20-%204%7D)
x = ![\sqrt[5]{h(x) - 4}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bh%28x%29%20-%204%7D)
x^5 = h(x) - 4
x^5 + 4 = h(x)
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Given Information
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Square Area = 156.25m²
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Formula
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Area = Length x Length
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Find Length
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156.25 = Length x Length
156.25 = Length²
Length² = 156.25
Length = √156.25
Length = 12.5
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Formula
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a² + b² = c²
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Find Diagonal
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12.5² + 12.5² = c²
c² = 156.25 + 156.25
c² = 312.5
c = √312.5
c = 17.68m (nearest hundredth)
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Answer: The diagonal length is 17.68m
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Explanation:
Each equation asks for x . So let's solve it in a way so that at the end remains x = ,then the rest equation.
So first one,
1. a(x+b)=c
ax + ab = c
ax = c - ab
x = (c - ab ) / a
Now we can write that in two ways:
i. We already got the answer for the 2nd blank which is c - ab / a
ii. If we rearrange it so that there is a minus sign, it would be like: c/a - b
Try solving the rest 3 by your self to make sure you understood them. Then scroll down to match the answers.
2. 8(x + a) = b
8x + 8a = b
8x = b - 8a
x = (b-8a)/ 8
First blank for 2nd equation: x = b/8 - a
Second blank: x = b - 8a / 8
3. a(x - 9) = b
ax - 9a = b
ax = b + 9a
x = (b + 9a) / a
First blank for 3rd equation: x = b/a + 9
Second blank: x = b+9a / a
4. c(2 + x ) = 7
2c + cx = 7
cx = 7 - 2c
x = (7 - 2c) / c
First blank for 4th equation: x = 7/c - 2
Second blank: x = 7 - 2c / c
Do let me know if it's correct! <3
Answer:
n = 3
Step-by-step explanation:
8n - (3n + 4) = 11
8n - 3n - 4 = 11
5n = 11 + 4
5n = 15
n = 3
