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ss7ja [257]
3 years ago
13

For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shift

Mathematics
1 answer:
Hitman42 [59]3 years ago
3 0

Answer:

A

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Then f(x - 2) represents a shift to the right of 2 units

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then f(x - 2) + 3 is shift to the right of 2 and up by 3 units

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The sum of two numbers is eleven. one number is seven less than the other. find the numbers
Pavlova-9 [17]

Answer:

9 & 2.

Step-by-step explanation:

let x represent the unknown numbers.

x + x-7 = 11

2x = 11+7

2x = 18.

divide both sides by 2.

x = 9.

x-7 = 9-7 = 2

7 0
3 years ago
The volume of a square prism is 144x^3 +216x^2 +81x
Svetach [21]

Answer:

Equation for the perimeter of prism's square face: 16x + 12

Step-by-step explanation:

Volume of Square prism = Length * Width * Height

                                         = 144 x^3 + 216 x^2 +81 x

taking 9x common = 9x( 16 x^2 + 24 x + 9)

                               = 9x ( (4x)^2 + 2(4x)(3) + (3)^2 )

                                = 9x ( 4x+3)^2

so the length is 9x, width is 4x+3 and height is 4x+3

Now, Perimeter of prism's square face = 2* Width + 2 * Height

                                                                = 2* (4x+3) + 2* (4x+3)

                                                                = 8x +6 + 8x + 6

                                                                = 16x +12

                   

6 0
3 years ago
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Arisa [49]

Answer:

78 i believe

Step-by-step explanation:

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<h2><em><u>2a</u></em></h2>

Step-by-step explanation:

(a+b-c)-(b-a-c)

= a + b - c - b + a + c

= a + a + b - b - c + c

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