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olchik [2.2K]
3 years ago
12

What effect does changing the function f (x) = 2 sin (x/2)- 1 to the function g(x) = 2 sin (x) - 5 have on the graph of f(x)?

Mathematics
1 answer:
mario62 [17]3 years ago
7 0

Answer:

choice 4 (or D)

Step-by-step explanation:

1) the initial argument (x/2) and the final one (x) shows horizontal compression of the given function;

2) the different between (-1) and (-5) is (-4); it means shifting down 4 units;

3) the correct answer is: t<u>he graph is compressed horizontally by a factor 2 and shifted down 4 units</u>.

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A shirt is on sale for 30% off. The original price is $26.98. What is the sale price?
Goshia [24]

100% - 30% = 70%

The shirt is selling for 70% of the original price.

Multiply the original price by 70%

26.98 x 0.70 = 18.89

The sale price is $18.89

6 0
3 years ago
Read 2 more answers
Aubrey claims that if the dimensions of the parallelogram shown are doubled, then the area of the larger parallelogram will be 4
Ostrovityanka [42]

Answer:

Aubrey is correct because the area of the new parallelogram is 12 (6) = 72 square inches. The original area is 18 square inches. Since 4 (18) = 72, the new parallelogram has 4 times the area of the original.

Step-by-step explanation:

A parallelogram with a base of 6 inches and height of 3 inches. A side has a length of 5 inches.

Aubrey is correct because the area of the new parallelogram is 12 (6) = 72 square inches. The original area is 18 square inches. Since 4 (18) = 72, the new parallelogram has 4 times the area of the original.

Aubrey is correct because the area of the new parallelogram is 10 (7) = 70 square inches. The original area is 18 square inches. Since 4 (18) = 72, it is about 4 times larger than the original.

Aubrey is incorrect because if one doubles each dimension, then the area will automatically be doubled as well. The original area is 18 square inches so the new parallelogram will have an area of 2 (18) = 36, or two times more than the original.

Aubrey is incorrect because if one doubles each dimension, then the area will automatically be doubled as well. The original area is 30 square inches so the new parallelogram will have an area of 2 (30) = 60, or 2 times more than the original.

Workings

Area of a parallelogram=base×height

Original parallelogram

Base=6 inches

Height=3 inches

Area=base×height

=6×3

=18 square inches

New parallelogram with doubled dimensions

Base=6 inches doubled=12 inches

Height=3 inches doubled=6 inches

Area=base×height

=12×6

=72 square inches

New area=4 times original area

New area=4×18

New area=72 square inches

5 0
3 years ago
Which is a correct first step for solving this equation?<br> - 32 + 2 - 52 - 7 = 4x + 2
MArishka [77]

Answer:

-8x - 5 = 4x + 2

6 0
2 years ago
What is the value of the expression when b = 3? 4b to the 4 power
Mekhanik [1.2K]
<span> Just plug in the value of b=3 in 4b^4, then you solve it, and your answer is 324</span>
3 0
3 years ago
Find the output (y) of the function y=6x+4 if the input (x) is 2
Dmitry_Shevchenko [17]

Answer:

f(2) = 16

or

y = 16

Step-by-step explanation:

Step 1: Write out function

y = 6x + 4

Step 2: Define variable for problem

<em>x</em> = 2

Step 3: Plug into function f(x)

f(2) = 6(2) + 4

f(2) = 12 + 4

f(2) = 16

Step 4: Change f(2) to y

y = 16

6 0
2 years ago
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