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Nookie1986 [14]
3 years ago
5

Which is the correct answer?, need help

Mathematics
1 answer:
mina [271]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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It’s 15 for #16 and then for #18 it would be 55 then for 20 it would be 6
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2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%20x%20%5E%7B3%7D%20%7D%20" id="TexFormula1" title=" \sqrt{ - x ^{3} } " alt=
noname [10]

I'm guessing you're given the function y(x)=2-x^3, and you're asked to find the inverse function y^{-1}(x). To do this, swap x and y, then solve for y:

x=2-y^3\implies y^3=2-x\implies y=(2-x)^{1/3}=\sqrt[3]{2-x}

so that the inverse function is

y^{-1}(x)=\sqrt[3]{2-x}

Just to verify:

y(y^{-1}(x))=y(\sqrt[3]{2-x})=2-(\sqrt[3]{2-x})^3=2-(2-x)=x

y^{-1}(y(x))=y^{-1}(2-x^3)=\sqrt[3]{2-(2-x^3)}=\sqrt[3]{x^3}=x

But in case you're actually only interested in computing the square root, first we note that \sqrt x (the real-valued square root) is only defined as long as x\ge0. So \sqrt{-x^3} is defined as long as -x^3\ge0, or x^3\le0, or equivalently x\le0. Under this condition, we could write

\sqrt{-x^3}=\sqrt{-x\times x^2}=\sqrt{-x}\sqrt{x^2}

We can simplify this further, but we have to be careful. Suppose x=-1. Then x^2=(-1)^2=1. But we get the same result if x=1, since x^2=1^2=1. There are two possible values of x that given the same value of x^2, so to capture both of them, we take \sqrt{x^2}=|x|, the absolute value of x. Then

\sqrt{-x^3}=|x|\sqrt{-x}

We can't simplify the square root term further than this.

3 0
3 years ago
HELPPP 6 MINUTES LEFFTTTTTT!!!!!
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Answer:

b

Step-by-step explanation:

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2 years ago
A recipe used 2/3 cup of sugar for every 2 teaspoons of vanilla. How much sugar was used per teaspoon of vanilla?
OleMash [197]

Answer:

Thank you and please rate me as brainliest as it will help me to level up

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2 years ago
WILL GIVE BRAINLIEST!!!
ankoles [38]

Answer:

C. (-3, 1)

Step-by-step explanation:

- x + y = 4 \\  \therefore \:  y = x + 4...(1) \\ \& \:  3x - 4y =  - 13....(2) \\ substituting \: y = x + 4 \: in \: equation \: (2) \\ 3x - 4(x + 4) =  - 13 \\   3x - 4x - 16 =  - 13 \\  - x = 16 - 13 \\  - x = 3 \\  \huge \red{ \boxed{x =  - 3}} \\ plug \: x =  - 3 \: in \: equation \: (1) \\ y =  - 3 + 4 \\ \huge \purple{ \boxed{y = 1}} \\  \\  \orange{ \boxed{ \bold {\therefore \: (x, \:  \: y) = ( - 3, \:  \: 1)} }}

6 0
3 years ago
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