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3 years ago

Function g can be thought of as a translation (shifted) version of f(x)=x^2

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

8 0

Answer:

Step-by-step explanation:

f(x)=x^2 represents a parabola with vertex at (0, 0), that opens up.

If we translate this graph h units to the right, then g(x) will be:

g(x) = (x - h)^2.

If we translate the graph of f(x)=x^2 k units up, then g(x) will be:

f(x)=x^2 + k

Next time, please indicate whether you are shifting the original graph to the right or to the left, and/or up or down.

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No links plz! Will mark brainliest if correct!

ehidna [41]

Answer:

(m-4) / (5m)

Step-by-step explanation:

((m²-16) / (5m)) / (m+4) =

(m²-16) / (5m(m+4)) =

m²-16 / (5m²+20m) =

(m-4) / (5m)

7 0

3 years ago

8x = 12y and 2y + 10 = 22

scoray [572]

Answer:

y=6

Step-by step: subtract 10 from 22 then divide it by 2 to get y.

2y+10=22

-10

2y=12

12/2=6

y=6

3 0

3 years ago

PLS SQDANCEFAN. PLEASE SHOW ALL WORK!!! A bag contains 27 coins, all of which are either quarters or dimes. If their total value

Butoxors [25]

Answer:

There are 19 quarters and 8 dimes.

Step-by-step explanation:

We will let x denote the amount of quarters.

Since there are 27 coins in total, (27-x) will be the amount of dimes there are.

Since each quarter is worth $0.25, the total value of quarters is given by 0.25x.

And since each dime is worth $0.10, the total value of dimes is given by 0.1(27-x).

We know that the total value of all 27 coins is $5.55. So, we can write the following equation:

$0.25x+0.1(27-x)=5.55$

So, we will determine the value of x, the amount of quarters there are.

First, let’s multiply everything by 100 to remove the decimals. So:

$100(0.25x+0.1(27-x))=100(5.55)$

Distribute:

$25x+10(27-x)=555$

Distribute:

$25x+270-10x=555$

Combine like terms:

$15x+270=555$

Subtract 270 from both sides:

$15x=285$

Divide both sides by 15:

$x=19$

So, the value of x is 19.

This means that there are 19 quarters.

So, the amount of dimes must be 27-19 or 8 dimes.

5 0

3 years ago

Read 2 more answers

Find surface area by adding areas of faces

Darina [25.2K]

Answer:

if the side length of a cube = 6, then the surface area of the cube is:

36 + 36 + 36 + 36 + 36 + 36

Step-by-step explanation:

A cube has 6 faces.

so you have to add the faces 6 times to get the total surface area of a cube.

5 0

3 years ago

The triangle and rectangle have the same perimeter.find the value of x.

sesenic [268]

Answer:

$x + 5 \: + \: x \: + 6 \: + x + 7 = 2x - 1 + x + 7 + x + 7 + 2x - 1$

$3x + 18 = 6x + 12$

$18 = 3x + 12$

$6 = 3x$

$x = 6 \div 3 = 2$

$x = 2$

<h2>I hope this helps you !! </h2>

5 0

3 years ago