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3 years ago

Use the system of equations to answer the question. 2x+3y=8 x-y=5

Mathematics

1 answer:

Digiron [165]3 years ago

7 0

Answer:

x=5+y

2(5+y)+3y=8

10+2y+3y=8

2y+3y=8-10

5y= -2

y= -2/5

x-(-2/5)=5

x+2/5=5

x=5-2/5

x=23/5

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The answer is 1.7 loaves.

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2 years ago

There are 180 students registered in a soccer camp. Of those registered, 35% are seventh graders. How many of the students regis

tiny-mole [99]

Answer:

Step-by-step explanation:

35% are of seventh grade.

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3 years ago

A ball is thrown into the air and its position is given by h ( t ) = − 6.3 t 2 + 53 t + 24 where h is the height of the ball in

nordsb [41]

Answer:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

Step-by-step explanation:

For this case we have the following function:

$h(t) = -6.3t^2 +53 t+24$

In order to maximize this function we need to take the first derivate respect the time and we have:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

8 0

3 years ago

The area of a trapezoid field is 480 square m. The distance between two parallel sides is 15 m and one of the parallel sides is

Makovka662 [10]

Answer:

44m

Step-by-step explanation:

area of a trapezoid = (a+b)* h/2

since the distance between two parallel sides is 15, that would be your height

plug everything in and you get:

480 = (20 + b) *15/2

b = 44

4 0

3 years ago