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3 years ago

Suppose y varies directly with x and y=12 when x=-3 what is the value of y when x=6?

Mathematics

1 answer:

coldgirl [10]3 years ago

7 0

Answer:

A. -24

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a directly or proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem we have

For x=-3, y=12

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the given values

$k=\frac{12}{-3}=-4$

The linear equation is equal to

$y=-4x$

what is the value of y when x=6?

substitute the value of x in the linear equation and solve for y

$y=-4(6)=-24$

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erik [133]

Answer:

4^3

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Step-by-step explanation:

4 is to the third power

11 is greater than 6 which means u use this sign >

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13 subtract x

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3 years ago

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AveGali [126]

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3 years ago

A video game sets the points needed to reach the next level based on the function g(x) = 8(2)x + 1, where x is the current level

Liula [17]

For us to determine the number of points that is needed in order to surpass or succeed the hardest setting of the game level 5, we use first the function g(x) to determine the total points required for the lower level.
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We substitute the x of the function with 5 since we are in level 5.
g(5) = 8(2)(5) + 1 = 81

Then, to determine the points for the hardest setting, we multiply the points by 3 as given in function h(x).
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Hence, to succeed the hardest setting of level 5, one needs a total of 243 points.

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3 years ago

2. About 40 millions of aluminum cans can be recycled each month in the US. A quarter of these aluminum cans are used to make on

geniusboy [140]

Answer:

Step-by-step explanation:

About 40 millions of aluminum cans can be recycled each month in the US. A quarter of these aluminum cans are used to make one aluminum boat. How many aluminum boats can be made in one year in the US?

Given that:

Approximate Number of cans that can be recycled per month in the US = 40 million

Fraction of recycled cans that can be used to make an aluminum boat = 1/4

The number of aluminum boats that can be made in the US in one year :

If about 40 million cans are recycle per month :

The number of boat that can be made from each monthly recycled aluminum cans will be :

Number of monthly recycled can needed to make one boat:

1/4 * 40 million = 10 million cans

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3 years ago

Geometry// question #8

MAVERICK [17]

Answer:

see explanation

Step-by-step explanation:

The translation rule

(x, y ) → (x + 3, y - 2 )

Means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus

A(- 4, 1 ) → A'(- 4 + 3, 1 - 2 ) → A'(- 1, - 1 )

B(1, 1 ) → B'(1 + 3, 1 - 2 ) → B'(4, - 1 )

C(1, - 2 ) → C'(1 + 3, - 2 - 2 ) → C'(4, - 4 )

D(- 4, - 2 ) → D'(- 4 + 3, - 2 - 2 ) → D'(- 1, - 4 )

4 0

3 years ago