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3 years ago

Solve the equation for x.

Mathematics

2 answers:

anzhelika [568]3 years ago

8 0

32x+64 = 160
32x = 96
x = 3

Afina-wow [57]3 years ago

6 0

The Answer for the given equation is 3

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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 $(-\infty,5]$ .

8 0

3 years ago

For an A.P. ,The first two term are -3, 4. The 21st term is

Dahasolnce [82]

Answer:

The 21st term is 137.

Step-by-step explanation:

Arithmetic progression:

In an arithmetic progression the difference between consecutive terms is always the same, and its called common difference.

The nth term is given by:

$a_n = a_1 + (n-1)d$

In which $a_1$ is the first term and d is the common difference.

The first two terms are -3, 4.

This means that $a_1 = -3, d = 4 - (-3) = 7$

$a_n = a_1 + (n-1)d$

$a_n = -3 + 7(n-1)$

The 21st term is

$a_{21} = -3 + 7(21-1) = -3 + 140 = 137$

The 21st term is 137.

4 0

3 years ago

Melanie spent half of her allowance going to the movies. She washed the family car and earned 6 dollars. What is her weekly allo

padilas [110]

Okay.. well did you try to do it on your own at least ? I help you, but what do you know already so we can go on from there.

7 0

3 years ago

PLSS helpp <br><br> btw have a nice day

Natali5045456 [20]

It’s the first one! The table shows X going up and Y going down, so the slope would be negative!

8 0

3 years ago

A typical tip in a restaurant is 15% of the total bill. If the bill is $90, what would the typical tip be?

Lana71 [14]

Answer:

$13.50 typical tip

Step-by-step explanation:

So to find the percentage

multiply 0.15*90

You’ll get 13.5

6 0

3 years ago

Read 2 more answers