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nydimaria [60]
3 years ago
14

F(x) = x^2 . What is g(x)?​

Mathematics
1 answer:
ss7ja [257]3 years ago
8 0

Answer:

g(x) = (1/4x)^2

Step-by-step explanation:

Given f(x), we want to get g(x)

As we can see, the point (4,1) lies on the graph of g(x)

So the correct option will be the one where g(4) = 1

Let us take a look at the second option

g(x) = (1/4x)^2

Here,

g(4) = (1/4 * 4)^1 = 1^1 = 1

You might be interested in
The sum of a number and its square is 182. Find the number.
Mars2501 [29]

Answer:

13 and -14 satisfy this condition

Step-by-step explanation:

Let's represent that number as x

and the square of x is x^2

So,

x + x^2 = 182

Subtract 182 from both sides

x + x^2 - 182 = 182 - 182

x + x^2 - 182 = 0

rearrange the quadratic equation

x^2 + x -182 = 0

let's use the quadratic formula

\frac{-b+\sqrt{b^2-4ac} }{2a}       or      \frac{-b-\sqrt{b^2-4ac} }{2a}

a = 1, b = 1, c = -182

\frac{-1+\sqrt{1^2-4*1*(-182)} }{2*1}       or     \frac{-1-\sqrt{1^2-4*1*(-182)} }{2*1}

\frac{-1+\sqrt{1+728} }{2}      or         \frac{-1-\sqrt{1+728} }{2}

\frac{-1+\sqrt{729} }{2}            or    \frac{-1-\sqrt{729} }{2}

\frac{-1+{27} }{2}     or    \frac{-1-{27} }{2}

\frac{26}{2}     or    \frac{-28}{2}

13 or    - 14

Lets check

13 + 13^2 = 13 + 169

= 182

Also,

-14 + (-14^2) = -14 + 196

= 182

8 0
3 years ago
N is a rational number.m is an irrational number.n2 cannot be an irrational number? why or why not
Korolek [52]

If n is rational, it means that

n\in\mathbb{Q}\Rightarrow n=\frac{p}{q},\quad p\in\mathbb{Z},\quad q\in\mathbb{Z}^*

Therefore when we do n² we can write it as

n^2=\frac{p^2}{q^2},\quad p\in\mathbb{Z},\quad q\in\mathbb{Z}^*

Remember that the product of two integer numbers is also an integer, therefore we can guarantee that

p^2\in\mathbb{Z}\text{ and }q^2\in\mathbb{Z}^*

Then we can confirm that n² is the quotient of two integers and the denominator is not zero, therefore, n² is always rational, it cannot be an irrational number

8 0
1 year ago
Please help me please thank you
AleksandrR [38]

Answer:

x = 15

Step-by-step explanation:

angles 2 and 4 are supplementary so they add up to 180

2x + 10 + 4x + 80 = 180

6x + 90 = 180

6x = 90

x = 15

7 0
3 years ago
Read 2 more answers
At a sale this week, a desk is being sold for 128.80. This is a 72% discount from the original price. What is the original price
wel

Answer:

$460

Step-by-step explanation:

If the 128.80 is the price of the desk after a 72% discount, it means that 128.80 is 100-72=28% of the original price.

From here, we can divide 128.80 by 28 to find what 1% of the price is then multiply the value by 100 to find 100%, or the original price.

128.80/28 = 4.6

4.6 x 100 = 460

Original price = $460

Hope this helped!

6 0
3 years ago
999,765 rounded to the nearest hundred thousand
BigorU [14]
The answer will be: 1,000,000 if you round to the nearest hundred thousands. Hope it helps! :D
4 0
3 years ago
Read 2 more answers
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