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vlabodo [156]
3 years ago
6

How many numbers have absolute value 3?

Mathematics
1 answer:
kirill115 [55]3 years ago
4 0

Answer:

how many numbers have absolute value 3? zero is your answer

how many numbers have absolute value a, if a>0? your answer is also zero

Step-by-step explanation:

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The quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15
katrin [286]
<h2>Hello!</h2>

The answer is: The first graphic representation.

<h2>Why?</h2>

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

h(t)=-16.1t^2 + 150\\0=-16.1t^2 + 150\\16.1t^2=150\\t^2=\frac{150}{16.1}=9.32\\t=+-\sqrt{9.32}=+-3.05\\t1=3.05\\t2=-305

So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.

From the given quadratic (or parabola) equation we have:

a=-1\\b=0\\c=150

So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

- We are looking for a parabola which y-axis intercept is equal to 150.

Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

8 0
2 years ago
Read 2 more answers
The radius of star A is 6.9203x10^5 km, which is 108.7 times the rafius of star B. what is the radius of the star B?
Kay [80]

Answer:

6366.4213

Step-by-step explanation: 6.9203x10^5 is 692,030. I divided 692,030 by 108.7 to get the answer. Anybody can correct any error I may have.

7 0
2 years ago
Please help thank you!
Akimi4 [234]
C. is the answer

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3 0
3 years ago
I rectangular prism is completely packed with 90 cubes of edge length 1/2 inch without any gap or out or overlap which of the fo
Katarina [22]
45 multiply 1/2 and 90 put it in the calculator 90 times 0.5
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3 years ago
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Hallie bought 20 lollipops for $0.25 each and 15 peppermint patties for $0.35. How much money did Hallie spend on candy?
Nastasia [14]

Answer:

She spent $10.25 on candy.

Step-by-step explanation:

Step 1- Multiply

20×0.25= 5

15×0.35= 5.25

Step 2- Add

5+5.25= 10.25

7 0
3 years ago
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