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Katen [24]
1 year ago
6

Suppose g(x)=f(x-3)-4. which statement best compares the graph of g(x) with the graph of f(x)

Mathematics
1 answer:
saw5 [17]1 year ago
8 0

Answer:

D.) The graph of g(x) is shifted 3 units right and 4 units down

Step-by-step explanation:

When a number is added directly to an "x" variable, the graph of the function shifts to the left. When this number is negative, the graph shifts to the right. Therefore, if a -3 is directly modifying the "x" variable, the graph shifts 3 units to the right.

When a number is added to the overall function, the graph of the function shifts up. When this number is negative, the graph shifts down. Therefore, if a -4 is being added to the overall function, the graph shifts down 4 units.

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Read 2 more answers
Cynthia Besch wants to buy a rug for a room that is 1919 ft wide and 2727 ft long. She wants to leave a uniform strip of floor a
yulyashka [42]

Answer:

The dimension of the rug would be 17 ft × 9 ft.

Step-by-step explanation:

Given

length of the room = 27 ft.

width of the room = 19 ft.

suppose, she leaves a uniform strip of x ft. around the rug.

So,

The length of rug = (27-2x)ft.

Width of rug= (19-2x)ft.

∴ Area of the rug= length×width

                            =  (27-2x)(19-2x)

                            =  513-54x-38x+4x^2

                            =   513-92x+4x^2

According to the question,

513-92x+4x^2=153

513-92x+4x^2-153=0        ( subtract 153 both sides)

4x^2-92x+360=0

4(x^2-23x+90)=0

x^2-23x+90=0

x^2-(18+5)x+90=0            ( Middle term splitting)

x^2-18x-5x+90=0

x(x-18)-5(x-18)=0

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x-5=0 or x-18=0             ( zero product property)

x=5 or x=18

if x=18, dimension would be negative  ( Not possible)

Thus, x= 5

Hence,

length of rug= 27-10=17 ft.

width of rug= 19-10=9 ft.

8 0
3 years ago
What is the answer for this please help -31=3w+9-8w simplify you answer as much as possible
ki77a [65]

-31=3w+9-8w\\\\-5w+9=-31 \ \ /-9\\\\-5w=-40 \ \ /:(-5)\\\\\huge\boxed{w=8}

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3 years ago
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