The function f(x) = −x^2 − 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?A. x = 5; the diver jumps in the pool at 5 feet per second
B. x = 10; the diver jumps in the pool at 10 feet per second
C. x = 10; the diver hits the water 10 feet horizontally from the board
D. x = 5; the diver hits the water 5 feet away horizontally from the board

Answers

Answer 1
Answer: We will solve the equation to find a zero of f(x):-x^(2)-5x+50=0
The formula is:x_(12) = \frac{-b\pm \sqrt{b^(2)-4ac } }{2a}where:
a=-1, b=-5, c =50 x_(12) = (5\pm √(25+200) )/(-2)= (5\pm √(225) )/(-2)= (-10)/(-2)=5This is the only solution because the other is:(5+10)/(-2)= (15)/(-2)=-7.5which is not possible.
Answer: D) The diver hits the water 5 feet away horizontally from the board.

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Jesse collected 42 football cards and 28 basketball cards simpfly the ratio of baseball cards to football cards in his collection

Answers

The ratio of basketball card to football cards is 2 : 3.

What is the ratio?

A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.

Now it is given that,

Number of football cards = 42

Number of basketball cards = 28

Hence,

Ratio of basketball cards to football cards = Number of basketball cards/Number of football cards

Ratio of basketball cards to football cards = 28/42

Ratio of basketball cards to football cards = 2/3

Ratio of basketball cards to football cards = 2:3

Therefore,The ratio of basketball card to football cards is 2 : 3.

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Baseball cards : Football cards = 28 : 42

28 : 42

7 into 28 is 4 and 7 into 42 is 6

 28 : 42 = 4 : 6        

2 into 4 is 2 and 2 into 6 is 3

 28 : 42 = 4 : 6 = 2 : 3

So the simplified ratio of baseball cards to football cards is 2 : 3.

I  hope this helps.   

Anne buys her store's art supplies from a wholesaler. She purchases 8 canvases that are 16 by 20 inches for $7.16each. How much profit does Anne make on the sale of these 8 canvases?
OA. $35.92
OB. $45.63
OC.
$57.28
OD. $86.04

Answers

Anne makes a profit of $57.28 on the sale of these 8 canvases. which is the correct answer would be option (C).

What is the profit?

The profit is equal to the difference between the selling price and the original cost price.

Anne purchases art supplies for her business from a wholesaler. She spends $7.16 on eight 16 by 20-inch canvases.

To calculate the profit that Anne makes on the sale of these 8 canvases, you need to know the price at which she sells them and the cost of buying them from the wholesaler. If the cost of each canvas is $7.16 and she buys 8 of them, the total cost of the canvases is :

⇒ 8 × $7.16

Apply the multiplication operation and we get

⇒ $57.28.

Therefore, she makes a profit of $57.28 on the sale of these 8 canvases.

Hence, the correct answer would be an option (C).

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Answer:

OC. $57.28

Step-by-step explanation:

It depends on how much she sells them for.

Let's say Anne sells them for $x.

Then her profit is:

8x-(8*7.16)

=8x-57.28

To make a minimum to at least make even is $57.28 and sell for $7.16 a piece.

HELP PLEASE RN ASAP!!!!!

Answers

Answer:

0.05555555555555555555

Step-by-step explanation:

9-3 is 6 and 9x12 is 108

6/108 is 0.0555555555555555555555555555555555

Marina saved $80 from her babysitting job. She wants to buy some shirts and pants that are on sale at her favourite store for $17 each. How many items of clothing can she buy?

Answers

Answer:

Step-by-step explanation:

Total amount of money that Marina saved from her babysitting job is $80.

She wants to buy some shirts and pants that are on sale at her favourite store for $17 each. To determine how many items of clothing that she can buy, we would divide the total amount that she saved by the cost of each clothing. It becomes

80/17 = 4.7.

Since the number of clothing must be whole number, the number of clothing that she can buy would be 4

Help me out please thank u

Answers

Answer:

Three points determine a plane.

:)

Answer:

Three

Step-by-step explanation:

Determine the inequality represented by the following diagram

Answers

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