The quadratic equation y=-0.5x+4x+10 models the path of a heavy ball through the air, where y represents the height in feet and x represents time in seconds. When will the ball hit the ground?

Answers

Answer 1

Answer:

We have been given that the quadratic equation $y=-0.5x^2+4x+10$ models the path of a heavy ball through the air, where y represents the height in feet and x represents time in seconds. We are asked to find the time when ball will hit the ground.

The ball will hit the ground, when height of ball above ground will be 0. So we will equate our given quadratic equation with 0 and solve for x.

$-0.5x^2+4x+10=0$

We will use quadratic formula to solve our given problem.

$x=(-b\pm√(b^2-4ac))/(2a)$ , where

b = Coefficient of x term,

a = Coefficient of $x^2$ term,

c = Constant.

$x=(-4\pm√((-4)^2-4(-0.5)(10)))/(2(-0.5))$

$x=(-4\pm√((16+20))/(-1)$

$x=(-4\pm√(36))/(-1)$

$x=(-4\pm6)/(-1)$

$x=(-4+6)/(-1), x=(-4-6)/(-1)$

$x=(2)/(-1), x=(-10)/(-1)$

$x=-2,x=10$

Since time cannot be negative, therefore, the ball will hit the ground after 10 seconds.

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|x| = –15

Answers

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What is percent of increase from 15 to 60?

Answers

Answer: 300 percent

Step-by-step explanation:

Where: 15 is the old value and 60 is the new value. In this case we have a positive change (increase) of 300 percent because the new value is greater than the old value.

Answer:

400%

Step-by-step explanation:

60/15 = 4

4 * 100 = 400 %

Oliver listens to 16 minutes of an audiobook every day during his commute to work. Let d represent the number of days commuting to work and m represent the total number of minutes Oliver listens to the audiobook while commuting.

Answers

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Solve for a:
9a-54=36

Answers

Answer:

a=10

Step-by-step explanation:

Step 1: Add 54 to both sides.

9a−54+54=36+54

9a=90

Step 2: Divide both sides by 9.

9a\9 =90\9

a=10

Answer:

a=10

Step-by-step explanation:

Add 54 to both sides. You get 9a=90. Divide both sides by 9 and you get a=10.

Please 20 points I need it fast

Answers

Answer: irrational numbers

Step-by-step explanation:

because i had the same test

I need help i honestly don’t understand.

Answers

Answer:

basically she earns 800 regardless of whatever happens, and depending on how much she sells we give her 12% of that

so just take the value on the left and multiple by .12 and add to 800

not sure what the 5000 is

hope this helps

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