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3 years ago

Can someone help me with this

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

8 0

Step-by-step explanation:

after I answered the other one(s), you should be really able to do this yourself.

it is precisely the same method and formula just with different numbers.

what's the problem now ?

y = -16x² + 247x + 141

we assume, the ground is at 0 ft.

so, we need to solve

0 = -16x² + 247 x + 141

the general solution for such quadratic equations is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -16

b = 247

c = 141

x = (-247 ± sqrt(247² - 4×-16×141))/(2×-16) =

= (-247 ± sqrt(61009 + 9024))/-32 =

= (-247 ± sqrt(70033))/-32

x1 = (-247 + 264.6374879...)/-32 = -0.551171497... s

x2 = (-247 - 264.6374879...)/-32 = 15.9886715... s

again, the negative solution for time did not make any sense, so, x2 is our solution.

the rocket will hit the ground after about 15.99 seconds.

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A) A = 30m + 13 B = 28m + 15

B) Company B would charge $6 less for 4 mattresses

C) Company B would charge $12 less for 7 mattresses

Step-by-step explanation:

A. : Write equations to represent Company A's and Company B's total mattress cleaning charges for a certain number of mattresses. Define the variable used in the equations.

Let's define the variable m to represent the number of mattresses to be cleaned.

For company A, we have a cost per mattress of $30 plus a fixed service fee of $13. So the equation will be:

A = 30m + 13

While company B charges $28 per mattress, with a fixed service fee of $15:

B = 28m + 15

That way, we have a good representation of both price structures, using a meaningful variable.

B. Which company would charge less for cleaning 4 mattresses? Justify your answer.

We just have to calculate the cost of cleaning 4 mattresses at both companies:

A = 30m + 13 = 30 (4) + 13 = 120 + 13 = $133

B = 28m + 15 = 28 (4) + 15 = 112 + 15 = $127

Company B would charge $6 less for 4 mattresses

C. How much money is saved by using the services of Company B instead of Company A to clean 7 mattresses?