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Olegator [25]
2 years ago
6

Question 6(Multiple Choice Worth 1 points)

Mathematics
1 answer:
Vaselesa [24]2 years ago
7 0

Using translation concepts, the correct option is given as follows:

The graph of f(x) is shifted to the right to create g(x).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the functions are given as follows:

  • f(x) = |x|.
  • g(x) = |x - 31|.

That is, g(x) = f(x - 31), hence the function was shifted <u>31 units to the right</u> and the correct option is given by:

The graph of f(x) is shifted to the right to create g(x).

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

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How did my teacher get 11 for #17
wel
Complementary angles ⇒ the angles add up to 90°

∠A and ∠B are complementary ⇒ ∠A + ∠B = 90°

∠A + ∠B = 90°

Plug in the values for ∠A and ∠B:
(3x - 8) + (5x + 10)  = 90

Open the brackets:
3x - 8 + 5x + 10 = 90

Combine like terms:
8x + 2 = 90

Subtract 2 from both sides:
8x = 88

Divide both sides by 8:
x = 11

Answer: x = 11
5 0
3 years ago
Read 2 more answers
Please hurry! This is due soon.
kotykmax [81]

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

f(x)=\frac{e^7^x+\sqrt{3}}{2}

y=\frac{e^7^x+\sqrt{3}}{2}

x=\frac{e^7^y+\sqrt{3}}{2}

2x=e^7^y+\sqrt{3}

e^7^y=2x-\sqrt{3}

7y=ln(2x-\sqrt{3})

y=\frac{ln(2x-\sqrt{3})}{7}

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

g(f(x))

g(\frac{e^7^x+\sqrt{3}}{2})

\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}

2s cancel.

\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}

The natural log and e cancel.

\frac{7x+\sqrt{3}-\sqrt{3}}{7}

\sqrt{3}s cancel.

\frac{7x}{7}

7s cancel.

x

Hope this helps!

3 0
2 years ago
Si el dividendo es 800 el cociente es 160 y el residuo es 0 ¿cuál es el divisor?<br><br>ayudaaa ​
atroni [7]

Answer:

Él dividendo seria 5

Step-by-step explanation:

Por que si dividimos 800 ÷ 5 = 160 y no nos quedan residuos

ESPERO Y TE AYUDE ;)

5 0
3 years ago
Given 2 points find the slope using the slope formula. Show all work.<br> 12-Y<br> me<br> Xzx,
Contact [7]
What are the coordinates of the 2 points?
7 0
3 years ago
The ratio of money in Terry's bank account to Faye's bank account was 3:7. Terry then put £220 in his account and Faye withdrew
Nadusha1986 [10]

Answer:

Terry initially had £390

Step-by-step explanation:

The ratio of the original amount is 3:7

Let the original amount Terry has be t and the original amount Faye has be f

3/7 = t/f

or simply 3f = 7t ••••••(i)

Terry putting 220 means he now has

t + 220

Faye withdrew 300

He now has f-300

These values are equal

t + 220 = f-300

f = t+220+300

f = t + 520 ••••••(ii)

Put ii into i

3(t + 520) = 7t

3t + 1560 = 7t

7t-3t = 1560

4t = 1560

t = 1560/4

t = 390

4 0
3 years ago
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