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Vladimir [108]
2 years ago
5

Help me with this question please

Mathematics
1 answer:
Leya [2.2K]2 years ago
5 0
Y=6x

The slope of the equation is six meaning you go up six and over 1 to find the next point.
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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
What is the value of c in the equation below? StartFraction 5 Superscript 5 Baseline Over 5 squared EndFraction = a Superscript
maw [93]

Answer:

125

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the area of the trapezoid.
vlabodo [156]

Answer: A.90 cm^2

Step-by-step explanation: A= a+b/2 h

A= 17.5+12.5/2 *6

A = 30/2*6

A= 15*6

A=90

5 0
3 years ago
How to solve x/3 + 4 = -2
r-ruslan [8.4K]

Answer:

x=−18

Step-by-step explanation:

Let's solve your equation step-by-step.

x

3

+4=−2

Step 1: Simplify both sides of the equation.

1

3

x+4=−2

Step 2: Subtract 4 from both sides.

1

3

x+4−4=−2−4

1

3

x=−6

Step 3: Multiply both sides by 3.

3*(

1

3

x)=(3)*(−6)

x=−18

5 0
2 years ago
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Calculate the distance between the points G= -2.2) and C = (5, -1) in the coordinate plane.
frozen [14]

Answer:

Step-by-step explanation:

4 0
2 years ago
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