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irga5000 [103]
2 years ago
7

PLEASE HELP!!!!!!!

Mathematics
2 answers:
masya89 [10]2 years ago
6 0

Answer:

Look at the ratio; it has ten parts (1+3+6), so one person has one tenth, second person has three tenths, and last person has six tenths share of the overall expense. That would be $4 (one tenth of $40), and $12, and $24.

Step-by-step explanation:

I think that's right hope it helps

ExtremeBDS [4]2 years ago
4 0

1+3+6=10

40=10 units

diidde by 10

4=1unit

4 times 1=4

4 times 3=12

4 times 6=24

they paid $4, $12 and $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
Simplify the expression by using a double-angle formula. 2 sin 31°cos 31°
qwelly [4]

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The right hand side is exactly your expression, where x = 31^\circ

So, rewriting the expression from right to left, we have

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Ierofanga [76]

Answer:

Answer is on the pic

Explanation:

I hope it's helpful!

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fomenos

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a=\frac{9c}{2}-b

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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