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vladimir1956 [14]
4 years ago
15

Which of the following describes how to translate the graph of y = |x| to obtain the graph of y = |x + 1| - 2?

Mathematics
2 answers:
Marizza181 [45]4 years ago
7 0

Answer:

1 unit to the left and 2 units down

Step-by-step explanation:

we have

y=\left|x\right|

The vertex of the function is the point (0,0)

y=\left|x+1\right|-2

The vertex of the function is the point (-1,-2)

therefore

The rule of the translation is

(0,0)-------> (-1,-2)

(x,y)-------> (x-1,y-2)

That means

The translation is 1 unit to the left and 2 units down

salantis [7]4 years ago
3 0
Translateion up c units, add c to whole function
translation left c units, add c to every x

from
y=|x| to y=|x+1|-2
1 was added to every x and 2 was subtracted from whole function
it was moved 1 unit to left and 2 down
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Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 23-1 inches. She pl
Sergio [31]

Answer:

D. 4(2x² + 4x - 6); 130.0 inches

Step-by-step explanation:

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x²+1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?

2x2+4x−6; 22.0 inches

2x2+4x−6; 32.5 inches

4(2x2+4x−6;) 88.0 inches

4(2x2+4x−6;) 130.0 inches

Perimeter of a square = 4 * side length

1- First square pillow

length = 2x²+1 in

Perimeter of first pillow = 4 * (2x²+1) in

Second square pillow

length = 4x-7 in

Perimeter of second pillow = 4(4x-7) in

Total ribbon length required = perimeter of first square pillow + perimeter of second square pillow

Total ribbon length required = 4(2x²+1) + 4(4x-7)

Factorise

4 is the common factor

=4(2x²+1)+(4x-7)

=4(2x²+1+4x-7)

=4(2x²+4x-6)

Total ribbon length required=4(2x²+4x-6)

If x=3.5

Total ribbon length required=4(2x²+4x-6)

=4{2(3.5)²+4(3.5)-6}

=4{2(12.25)+14-6)

=4(24.5+14-6)

=4(32.5)

=130.0 inches

6 0
3 years ago
In a load of laundry, 60% of the socks are white. If there are 25 socks in the load, how many are white?
Firdavs [7]
Well turn 60 into a decimal 0.60 and then multiply by 25 which is 15

remember of in math means multiply
6 0
4 years ago
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A designer wants to make a circular fountain inside a square of grass as shown at the right. What is a rule for the area A of th
Dennis_Churaev [7]

Answer:

A=4r^{2}-r^{2}\pi


Step-by-step explanation:

1. To calculate the area of the grass you must substract the area of the square and the area of the circle.

2. The area of the square is:

A1=L^2

Where L is one side of the square.

3. You have that:

L=2r

4. Therefore:

A1=(2r)^{2} =4r^{2}

5. The area of the circle is:

A2=r^{2}\pi

6. The are of the grass is:

A=4r^{2}-r^{2}\pi

7 0
3 years ago
Marsha Waite borrows $7,000 and agrees to pay it back in 2 years if the simple interest rate is 15%
I am Lyosha [343]

Answer:

Marsha must pay in 2 years \$9,100

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A  is the amount of money to pay

P is amount of money borrowed  

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=2\ years\\ P=\$7,000\\ A=?\\r=15\%=15/100=0.15

substitute in the formula above

A=7,000(1+0.15*2)

A=7,000(1+0.30)

A=7,000(1.30)

A=\$9,100

therefore

Marsha must pay in 2 years \$9,100

3 0
3 years ago
Susan got a new job that pays her $15.50 per hour. Create a relation showing how much money, M, she makes for h hours of work.
andreev551 [17]

Answer: 15.50m/h

Step-by-step explanation:

4 0
3 years ago
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