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andriy [413]
1 year ago
8

What function translates the function f(x) = to the right 2 units and up 10 units? g(x)= |

Mathematics
1 answer:
Mandarinka [93]1 year ago
8 0

Answer:

g(x) = | x - 2 | + 10

Step-by-step explanation:

given g(x) then g(x± h ) is a horizontal translation of g(x)

• if h > 0 then a move to the left of h units

• if h < 0 then a move to the right of h units

here the move is 2 units to the right, then

g(x) = | x - 2 |

given g(x) then g(x) + c is a vertical translation of g(x)

• if c > 0 then a move up

• if c < 0 then a move down

here the move is 10 units up , then

g(x) = | x - 2 | + 10

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A food company originally sells cereal in boxes with dimensions 25 cm by 14 cm by 10 cm. To make more profit, the company decrea
hjlf

Answer:

1.75 cm

Step-by-step explanation:

We are given that the dimensions of the box as 25 cm by 14 cm by 10 cm.

Now, to increase the profit, the dimensions of the box by 'x' cm.

Thus, the new dimensions are (25-x) cm by (14-x) cm by (10-x) cm.

Further, it is given that the volume of the new box is 2,208 cm^{3}

As, Volume of the box = Length × Breadth × Height

i.e. 2208 = (25-x) × (14-x) × (10-x)

i.e. 2208 = (25-x) \times (140-24x-x^{2})

i.e. 2208=x^{3}-x^{2}-740x+3500

i.e. x^{3}-x^{2}-740x+1292=0

On solving this cubic equations, we get that, the solutions are x = 27.6, x = 1.75 and x = 26.8.

Since, the dimensions 25 cm by 14 cm by 10 cm are reduced by x cm.

Thus, if x = 27.6 or x = 26.8, then (10-x) = -17.6 or -16.8, which cannot be possible. So, x = 1.75 cm.

Hence, the dimensions were decreased by 1.75 cm.

3 0
3 years ago
A rectangular box has length 9 inches, width 7 inches, and a height of 15 inches. find the angle between the diagonal of the box
uysha [10]
0.92085175 radians  
Let's first calculate the length of the diagonal of the base. Using the Pythagorean theorem:
 b = sqrt(9^2 + 7^2) = sqrt(81 + 49) = sqrt(130) = 11.40175425 
 Now the length of the diagonal to the box. Once again, using the Pythagorean theorem:
 d = sqrt(15^2 + 11.40175425^2) = sqrt(225 + 130) = sqrt(335) = 18.84144368 
 We now have a right triangle where we know the lengths of all three sides. The lengths are:
 a = 15
 b = sqrt(130) ≠11.40175425
 c = sqrt(335) ≠18.84144368
 
 we want the angle opposite to side a. So
 tan(A) = 15/11.40175425 = 1.315587029
 A = atan(1.315587029)
 A = 0.92085175 radians
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4 years ago
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iren [92.7K]

The answer would be B because difference means subtracting so the answer would be x-6

7 0
4 years ago
Write 42% as a fraction in simplest form ....as a decimal
Vitek1552 [10]

Answer:

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Step-by-step explanation:

42/100

42/2 = 21

100/2 = 50

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