ABCD = EFGH find EF <br> ab=5 dc=4 fg=1

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.

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

A chestnut falls from a tree 45 feet above ground.Use the vertical motion model to find how long it takes to hit the ground.Roun

miv72 [106K]

Ok so please check if im wrong its 25

3 0

3 years ago

What is the slope of the line of best fit?

Ierofanga [76]

Step-by-step explanation:

The line passes through the origin and point (30,3)

so, slope of the graph( miles per minute)= 3/30 = 1/10 miles per minute

Or, slope of the graph miles per hour

$= \frac{3}{ \frac{30}{60} } = \frac{3 \times 60}{30} = 6$

option B

7 0

3 years ago

Jen picked 3/4 of a gallon of strawberries in a half an hour.If she keeps picking strawberries at the same rate, how many gallon

sp2606 [1]

Answer:

3 gallons.

Step-by-step explanation:

We have been given that Jen picked 3/4 of a gallon of strawberries in a half an hour.

Let us convert our given time in minutes.

1 hour= 60 minutes.

1/2 hour= 30 minutes.

So 2 hours= 120 minutes.

Let us find the number of gallons of strawberries picked by Jen in 30 minutes by dividing 3/4 by 30.

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{\frac{3}{4} }{30}$

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{3}{4*30}$

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{1}{40}$

Now let us multiply 1/40 by 120 to find the number of gallons of strawberries picked by Jen in 120 minutes(2 hours).

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=120*\frac{1}{40}$

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=3$

Therefore, Jen picked 3 gallons of strawberries in 2 hours.

8 0

3 years ago

The answer to the question “On average, how many pages are in a novel?” would be measured by which scale?

Juli2301 [7.4K]

In the days of the typewriter, a double-spaced page with 1-inch margins would hold an average of 250 words. So you could assume that since 4 pages<span> = </span>1000<span> words</span>

8 0

4 years ago

ABCD = EFGH find EF ab=5 dc=4 fg=1