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malfutka [58]
4 years ago
15

A baseball player throws a ball from the outfield toward home plate. The ball's height above the ground is modeled by the equati

on y = -16x + 48x + 6,
where y represents height, in feet, and x represents time, in seconds. The ball is initially thrown from a height of 6 feet.
(a) How many seconds after the ball is thrown will it again be 6 feet above the ground?
Answer:
seconds
(b) What is the maximum height, in feet, that the ball reaches?
Answer:
feet
by
Mathematics
1 answer:
lianna [129]4 years ago
6 0
Are you sure you didn’t mean -16x^2?
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At the bargain store , Tanya bought 3 items that each cost the same amount. Tony bought 5 items that each cost the same amount b
Afina-wow [57]

Answer:

"Tanya bought 3 items that each cost the same amt"

"Let x represent the cost of one of Tanya's items"

  So, Tanya bought 3 items, costing x+x+x = 3x

  Note that (number of items)*(cost per item) = (number of items)*(cost/item) = cost,   [item cancels out]

 

"Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought."

 The cost for Tony's items was:  (x-2.25)+(x-2.25)+(x-2.25)+(x-2.25) = 4*(x-2.25)

 

"Tanya and Tony paid the same amt. of money"

   This is an equation (the same amount means equals)

    Tanya's cost = Tony's cost

a.) Write an equation. Let x represent the cost of one of Tanya's items

          3x      =     4(x-2.25)

 

Now, the math:

b.) Solve the equation. Show your work.

          3x      =     4(x-2.25)

          3x  =  4x - 9.00                 [distributive principle; multiply]

         -x = -9.00                      [subtract 4x from both sides; option, could instead add 9.00, then subtract 3x from both sides, getting 9.00=x]

          x = 9.00           [multiply both sides by (-1)]

                 [note:  to "solve for x" means to find the value(s) of x that make the equation true,

                          so let's see if it is true --]

c.) Check your solution. Show your work.

  Is              3x      =     4(x-2.25), when x=9.00    ?

          3(9.00) = 4(9.00-2.25)    ?

           27.00 = 36.00 - 9.00    ?

             27.00 = 27.00    ?yes

 

d) State the solution in a complete sentence.

     The problem started with:  "Tanya bought 3 items that each cost the same amt. Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought. Both Tanya and Tony paid the same amt. of money."

     I would write:   "Tanya bought 3 items, each costing $9.00.  Tony bought 4 items, each costing $6.75.  Tanya and Tony each paid $27.00."  

Step-by-step explanation:

6 0
4 years ago
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Helga [31]

Answer: 1st blank: 7.5

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Step-by-step explanation:

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3 years ago
Evaluate the expression. 5^2 ( The two goes to the top) - 4 · 6 + 11
Thepotemich [5.8K]

HI Sydney!

Question:

Solve 5^2 - 4 x 6 + 11

Solution:

Remember to follow PEMDAS,

= 5^2 - 4 x 6 + 11

= 25 - 4 x 6 + 11

= 25 - 24 + 11

= 1 + 11

= 12

Answer: 12

4 0
4 years ago
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Use the given scale factor in the side length of the scale drawing to determine the side links of the real object
ozzi

Answer:

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

Step-by-step explanation:

Here is the complete question. Please find attached a diagram showing the scaled and real drawing

Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long

C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long

D. side a is 175 inches long,side b is 150 inches long, and side c is inches long

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

The scaled drawing is an enlarged image of the original triangle.

It is enlarged at a ratio of 5:1

original dimensions

a = 35/5 = 7

b = 30 / 5 = 6

c = 15/5 = 3

7 0
3 years ago
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