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andriy [413]
3 years ago
8

Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function

Mathematics
1 answer:
Shalnov [3]3 years ago
6 0

Answer:

5.2seconds

Step-by-step explanation:

Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function

The modeled function is given as

h(t) = –16t^2 +64t + 100,

We can see this is a quadratic equation, we can solve using quadratic formula, Below

= -b±(√b^2 -4ac)/2a

Where

a=-16, b=64, c=100

FROM THE ATTACHMENT

We have too answers t= -1.20s and t=5.20s

Therefore,it take 5.20s for the ball to reach the ground (h=0). Because "t" cannot be negative here

CHECK THE ATTACHMENT FOR THE QUADRATIC SOLUTION

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An art class contains 87 jars of paint. One third of the paint colors is red the remaining two thirds is purple.what is the rati
AlexFokin [52]

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Answer:

  2 : 1

Step-by-step explanation:

  purple : red = (2/3) : (1/3) = 2 : 1

The ratio of purple paint to red paint is 2 : 1.

3 0
2 years ago
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The point (5, -2) is rotated 90° about the origin. Its image is
tigry1 [53]
<span>rotated 90° about the origin
(x,y) = (-y, x)

so </span><span>(5, -2) is rotated 90° about the origin = (2, 5)

answer
</span><span>b.(2, 5)</span>
7 0
3 years ago
What is 258/300 as a percent
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To transform it into percent we want to have 100 into denominator. The easiest way is divide numerator and denominator by 3 (thats because than it doesnt change the value of fraction), so:
\frac{258}{300}= \frac{258:3}{300:3}= \frac{86}{100} = 86% - its the result
4 0
3 years ago
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One root of f(x) = x + 10x2 – 25x – 250 is x = -10. What are all the roots of the function? Use the Remainder Theorem.
Natalka [10]

Answer:

-10

-5

5

Step-by-step explanation:

From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250

The Remainder Theorem is going to take a bit to solve.

You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.

The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.

However just to get the roots, the graph shows that

x = -10

x = - 5

x = 5

The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give

f((10) = 10^3 + 10*10^2 - 25*10 - 250

f(10) = 1000 + 1000 - 250 - 250

f(10) = 2000 - 500

f(10) = 1500 which is  not 0.

==================

f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250

f(1) = 1 + 10 - 25 - 250

f(1) = -264 which again is not zero

3 0
3 years ago
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Which function has a range of<br><br> f(x)≥7
amid [387]

Answer:

While it's true that quadratic functions have no domain restrictions, the range is restricted because x2 ≥ 0. The correct answer is: The domain is all real numbers and the range is all real numbers f(x) such that f(x) ≥ 7.

Step-by-step explanation:

3 0
3 years ago
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