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jonny [76]
2 years ago
13

Find the number that makes the ratio equivalent to 3:1. :6

Mathematics
1 answer:
Agata [3.3K]2 years ago
8 0
The answer to this question is 2.
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The quadratic function h(t) = -16.1? + 150 models a ball's height, in feet, over time, in seconds,
Sliva [168]
<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!

5 0
2 years ago
Let y=(3x + f(4 − x^2))^3. Find dy/dx for x=1, given that f(3)= -6 and f'(3)= 4
Shkiper50 [21]

Answer:

correct

Step-by-step explanation:

4 0
3 years ago
Help plz I really need some help right now
Montano1993 [528]
1/2 chance of getting an even number and 1/2 chance of getting an odd one.
8 0
3 years ago
Read 2 more answers
Write A expression for increased by 23
Akimi4 [234]

Answer:

5+23

Step-by-step explanation:

increased by is another word for add

7 0
3 years ago
Read 2 more answers
What is the sum of the rational expressions below?<br> x/5+2/3x
Naya [18.7K]

Answer:

B

Step-by-step explanation:

x/5 + 2/3x

first you multiply both denominator.

this will be you denominator unless you can simplify it.

denominator=5 x 3X = 15X

now you times both denominator with the opposite numerator.

e.g. 5 x 2 and X x 3X.

=10 and 3X^2

now you and both numerators which is 3X^2 + 10

so the answer is b

7 0
3 years ago
Read 2 more answers
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