I think the correct answer is 5.6569
4a + 3 = 15
- 3
4a = 12
÷ 4
a = 3
I hope this helps!
Answer: Choice D) ![y = \pm \sqrt{x+5}](https://tex.z-dn.net/?f=y%20%3D%20%5Cpm%20%5Csqrt%7Bx%2B5%7D)
The steps to finding the inverse will have us swap x and y. Afterward, we solve for y
![y = x^2 - 5 \\\\x = y^2 - 5 \\\\x+5 = y^2 \\\\y^2 = x+5 \\\\y = \pm \sqrt{x+5} \\\\](https://tex.z-dn.net/?f=y%20%3D%20x%5E2%20-%205%20%5C%5C%5C%5Cx%20%3D%20y%5E2%20-%205%20%5C%5C%5C%5Cx%2B5%20%3D%20y%5E2%20%5C%5C%5C%5Cy%5E2%20%3D%20x%2B5%20%5C%5C%5C%5Cy%20%3D%20%5Cpm%20%5Csqrt%7Bx%2B5%7D%20%5C%5C%5C%5C)
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Extra info:
The inverse relation is not a function because of the plus minus. For instance, plugging x = 4 into
leads to y = -3 and y = 3 simultaneously. You would have to apply a domain restriction on
to make it a one-to-one function, to make the inverse a function. One possible domain restriction is
which would lead to the inverse function ![y = \sqrt{x+5}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%7Bx%2B5%7D)
Answer:
slope = 5
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 3 = 5(x - 4) ← is in point- slope form
with slope m = 5
Answer: b) 384 sq. in.
Step-by-step explanation:
Surface area of cube = 6a^2
= 6 (8)^2
= 6 x 64
= 384 sq. in.