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3 years ago

Order the following from greatest to least -0.4,0.8

1 answer:

3 0

Certainly negative number is smaller than a positive number

So the order is 0.8 , -0.4
Here 0.8 is the greatest while -0.4 is least

Hope This Helps You!

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The function f(x)=(x-5)^2 +2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the in

Anon25 [30]

We have been given a quadratic function $f(x)=(x-5)^{2} +2$ and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is $[2,\infty)$ .

If we restrict the domain of this function to either $(-\infty,5]$ or $[5,\infty)$ , it will become one to one function.

Let us know find its inverse.

$y=(x-5)^{2}+2$

Upon interchanging x and y, we get:

$x=(y-5)^{2}+2$

Let us now solve this function for y.

$(y-5)^{2}=x-2\\
y-5=\pm \sqrt{x-2}\\
y=5\pm \sqrt{x-2}\\$

Hence, the inverse function would be $f^{-1}(x)=5+\sqrt{x-2}$ if we restrict the domain of original function to $[5,\infty)$ and the inverse function would be $f^{-1}(x)=5-\sqrt{x-2}$ if we restrict the domain to $(-\infty,5]$ .

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3 years ago

Is the percent increase from 50 to 70 equal to the percent decrease from 70 to 50? Explain.

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

Percent change is the difference in numbers divided by initial number converted to percent value.

Percent increase:

(70 - 50)/50*100% = 40%

Percent decrease:

(70 - 50)/70*100% = 28.57%

Compare:

40% ≠ 28.57%

4 0

2 years ago

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What is 21/56 simplified

lozanna [386]

$21=3\cdot7\\56=8\cdot7\\\\\frac{21}{56}=\frac{3\cdot\not7^1}{8\cdot\not7_1}=\boxed{\frac{3}{8}}$

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3 years ago

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tatiyna

I think it is D..

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3 years ago

Find the value of x in the figure

MA_775_DIABLO [31]

Answer:

x = 100

Step-by-step explanation:

$57 \degree + (x + 23) \degree = 180 \degree..(straight \: line \: \angle s) \\ (x + 80) \degree = 180 \degree \\ x + 80 = 180 \\ x = 180 - 80 \\ \huge \red{ \boxed{x = 100}}$

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3 years ago

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