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Pepsi [2]
1 year ago
7

The graph shows the translation, g(x), of the function f(x). What integer represents the horizontal translation of f(x) to g(x)?

Mathematics
1 answer:
Alik [6]1 year ago
3 0

The integer that represents the horizontal translation of f(x) to g(x) is 4

<h3>How to determine the integer?</h3>

The attached graph represents the missing piece in the question

From the graph, we can see that:

The function g(x) is 4 units to the left of the function f(x)

This means that:

g(x) = f(x + 4)

Hence, the integer that represents the horizontal translation of f(x) to g(x) is 4

Read more about horizontal translation at:

brainly.com/question/8203815

#SPJ1

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F(1)=-12, f(n)=2f(n-1) <br> find first 4 terms
amid [387]
<h3>First four terms are:   -12, -24, -48, -96</h3>

============================================

Explanation:

The notation f(1) = -12 tells us that the first term is -12.

The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.

-12*2 = -24

-24*2 = -48

-48*2 = -96

So the first four terms are -12, -24, -48, -96.

-----------------------------------

Alternative Approach

f(1) = -12 .... first term

f(n) = 2*f(n-1) ... nth term recursive formula

f(2) = 2*f(2-1) ... plug in n = 2

f(2) = 2*f(1)

f(2) = 2*(-12) ... plug in f(1) = -12

f(2) = -24 ... second term

f(n) = 2*f(n-1) .... resetting for the next computation

f(3) = 2*f(3-1) ... plug in n = 3

f(3) = 2*f(2)

f(3) = 2*(-24)  ... plug in f(2) = -24

f(3) = -48 .... third term

f(n) = 2*f(n-1) ... one more reset

f(4) = 2*f(4-1) .... plug in n = 4

f(4) = 2*f(3)

f(4) = 2*(-48) ... plug in f(3) = -48

f(4) = -96 ... fourth term

We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.

4 0
2 years ago
Write the percent as a fraction in simplest form and as a decimal 36%
Darya [45]

Answer:

0.36, 9/25

Step-by-step explanation:

36% converts to the decimal fraction 0.36.

36% can also be expressed in the reduced fractional form 36/100= 9/25.

8 0
2 years ago
Read 2 more answers
The number of items (N) that can be purchased for a given amount of money is inversely proportional to the cost (C) of an item.
mars1129 [50]

Answer:

436 items

Step-by-step explanation:

When a quantity A is inversely proportional to another quantity B, we can write:

A=\frac{k}{B}

Where k is the proportionality constant  [that we need to find]

For this problem, we can write the ratio as:

N=\frac{k}{C}

Now given N = 480 and C = 4.90, we first find k:

N=\frac{k}{C}\\480=\frac{k}{4.90}\\k=4.90*480\\k=2352

Now, as second step, we need this time to find N, when

C = 5.40

Note, we know know k = 2352, so we find N:

N=\frac{k}{C}\\N=\frac{2352}{5.40}\\N=435.55

Rounding to next whole number, we have 436 items

5 0
3 years ago
PLSSSS HELP<br><br> X+18=2x+17
kifflom [539]

Answer:

x=1

Step-by-step explanation:

Subtract

18

from both sides

Simplify

3

Subtract

2x

from both sides

8 0
1 year ago
Read 2 more answers
Solve the equation 4s2+32s=60 by completing the square
lord [1]

Answer:

s = -4 ± √31

Step-by-step explanation:

Given 4s^{2} + 32s = 60

divide by 4 throughout

s^{2}  + 8s = 15\\s^{2} + 8s + (\frac{8}{2}) ^{2}  = 15 + (\frac{8}{2}) ^{2}

 (s + 4)^{2}  = 31\\s + 4 = \sqrt{31}

s = -4 ± √31

7 0
3 years ago
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