The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up.Which equation represents g(x)?

Answers

Answer 1

Answer:

The equation that represents the function g(x) is $g(x)=9cos(x-(\pi )/(3) )+7$ .

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

What is translation?

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

The function is given as

$f(x)=9cos(x-(\pi )/(2) )+3$

The function f(x) is first translated $(\pi )/(6)$ units left.

The rule of translation is:

$(x,y)=(x+(\pi )/(6),y)$

So, we have:

$f'(x)=9cos(x+(\pi )/(6) -(\pi )/(2) )+3$

Take LCM

$f'(x)=9cos(x+(\pi-3\pi )/(6) )+3$

$f'(x)=9cos(x-(2\pi )/(6) )+3$

$f'(x)=9cos(x-(\pi )/(3) )+3$

Next, translate f'(x) 4 units up.

The rule of this translation is:

$(x,y)=(x,y+4)$

So, we have:

$g(x)=9cos(x-(\pi )/(3) )+3+4$

$g(x)=9cos(x-(\pi )/(3) )+7$

Hence, the equation that represents the function g(x) is $g(x)=9cos(x-(\pi )/(3) )+7$ .

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Answer 2

Answer:

Answer:

Step-by-step explanation:

Im almost sure it B but if not then its for sure D.

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Y=4x-7 make x the subject of the equation

HELP!! What does this equal??? and what does it mean??? How do you solve it to a normal number?? 1.32601E7

Answers

Answer:

13260100

Step-by-step explanation:

1.32601*E7=

1.32601*10^7

move the decimal 7 units to the left and add zeros into empty spaces to increase the number 1.32601 ten million (10,000,000) times

1.32601*10000000=

13260100

Use the information to find the percent change.Original Amount = 1,250
Amount of Change = 618
Percent Increase =
Amount of Change
Original Amount
The percent change is about???

Answers

Answer:

49.44%

Step-by-step explanation:

1250+618=1868

percentage increase=increase×100%/original amount

p.p=618×100/1250

p.p=49.44%

Answer:

49.4%

Step-by-step explanation:

i got it right on edge:)

Paulo has 39 patches from states he and his relatives have visited he wants to pin the onto a board and arrange them equally in 3 rows how many patches will be in each row

Answers

Given:

Total number of patches = 39

Total number of rows = 3

To find:

The number of patches in each row.

Solution:

We have,

Total number of patches = 39

Total number of rows = 3

We need to divide the total number of patches by total number of rows to find the number of patches in each row.

$\text{Number of patches in each row}=(39)/(3)$

$\text{Number of patches in each row}=13$

Therefore, the number of patches in each row is 13.

for every ton of paper that is recycled, 17 trees are saved.Is it a discrete or a continuous relationship?

Answers

The correct answer is continuous

Answer:

Continuous

Step-by-step explanation:

Hope this helps!

After 6 years, Federico earned $1485 in simple interest from a cd into which he initially deposited $ 9000. What was the annual interest rate of the cd?A. 2.75% B.5.5% C. 8.25 D.11%

Answers

The formula for simple interest is:
I=Prt
I=interest earned
P= principal
r= rate in decimal form
t= time in years
I=Prt
1485=9000(r)(6)
1485=54000r
Divide by 54000:
0.0275=r
Change to percent form:
r=2.75%

Answer:

2.75% is the answer for apex

Step-by-step explanation:

If EG=10x+20, FG=43. EG=183, find the value of x.