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3 years ago

Work out the greatest possible value of 3x-2y with the numbers 5,6,7,8,9,10

Mathematics

1 answer:

Gekata [30.6K]3 years ago

4 0

Answer:

The greatest possible value of 3x - 2y is 20

Step-by-step explanation:

3x - 2y ------- 1

For getting the greatest possible value we must get the greatest value available, which is 10 and put it in place of x .

As 2y is being subtracted in the eq 1, we must put the smallest value available in the eq 1 to get the greatest possible result.

put x = 10 and y = 5 in eq 1

3(10) - 2(5)

= 30 - 10

= 20

Smallest possible value from the eqaution will be obtained by putting y = 10 and x = 5

3 (5) - 2 (10)

= 15 - 20

= -5

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3 years ago

A ball is dropped from a height of 64 feet. Its height, in feet, can be modeled by the function h(t) = -167 + 64, where t is the

Oliga [24]

Answer:

Step-by-step explanation:

Known facts:

the ball dropped from a height of 64 feet
function $h(t) = -16t^{2} + 64$

First question:

the ball hits the ground when h(t) = 0, thus we get the equation

$-16t^{2} +64 = 0\\16t^{2} = 64\\t^{2} =4\\t = 2$

So the ball hits the ground in 2s

Second question

to find how long it takes the ball to fall 36 feet, we must set h(t) = 64 - 36 = 28

$-16t^{2} +64 = 28\\16t^{2} = 36\\t = \frac{6}{4} =1.5s$

So the ball hits the ground in 1.5s

Hope that helps!

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3 years ago