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umka21 [38]
3 years ago
9

Suppose h(t) = -0.2t? + 2t models the height, in feet, of a ball that is kicked into the air where t is

Mathematics
1 answer:
ipn [44]3 years ago
7 0

Answer:

Below in BOLD.

Step-by-step explanation:

h(t) = -0.2t^2 + 2t

We can find the maximum height and the time by converting to vertex form:

h(t) = -0.2(t^2 - 2t)

= -0.2[(t - 1)^2 - 1)

= -0.2(t - 1)^2 + 0.2

The time to get to maximum height = 1 second and the maximum height is 0.2 m.

When the ball reaches the ground h = 0 so

-0.2(t - 1)^2 + 0.2 = 0

(t - 1)^2 =  -0.2 / -0.2 = 1

t - 1 = 1

t = 2 seconds.

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decided to purchase a new Toyota 4Runner for $25,635. you have promised your daughter that the SUV will be hers when the car is
Stella [2.4K]

Answer:

y = -3000x + 25,635

Step-by-step explanation:

well if the inital value of the car is $25,635 this means that when

x = 0   y = 25,635

(0 , 25635)

this will be our first point

Now if you tell us that in 1 year depreciate in value $3,000

this means thaw when

x = 1  y = 25,635 - 3,000

x = 1 y = 22,635

(1, 22635)

Now that we have 2 points we can have the equation

First we take the slope as follows

m = (y2 - y1) / (x2 - x1)

m = (22,635 - 25,635) / (1 - 0)

m = -3000 / 1

m = -3000

after calculating the slope we have to replace it in the following formula

(y - y1) = m (x - x1)

y - 25,635 = -3000 ( x - 0)

y - 25,635 = -3000x

y = -3000x + 25,635

Finally we replace the value of y by 10000

10,000 = -3000x + 25,635

10,000 - 25,635 = -3000x

-15,635 = -3000x

-15,635/-3000 = x

5.21167 = x       years

These are the years it would take for the value to be 10,000

to know the days we simply multiply by 365

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4 0
3 years ago
 Use the given information to find the value of x. Then, find the measure of angle ADC.
skad [1K]

Answer:

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Step-by-step explanation

To get the angle x, you must first know that the sum of angle at a point is 360degrees. Hence;

x + <ADB + <CDB  = 360

x +150 + 150 = 360

x+ 300 = 360

x = 360 - 300

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Hence the value of x is 60degrees

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3 years ago
What is the sum of the polynomials
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I think the answer is -4x^-11x+13
6 0
2 years ago
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(x^3 + 5)(2x – 1)<br>(x^2 – 4)(x^2 + 4)​
earnstyle [38]

Answer:

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Step-by-step explanation:

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3 years ago
Determine any data values that are missing from the table, assuming that the data represent a linear function.
Varvara68 [4.7K]

Answer:

c. 14

Step-by-step explanation:

Let the missing y value be y2.

If the data represent a linear function, then:

\frac{6 - 2}{2 - 1} = \frac{y_2 - 6}{4 - 2}

\frac{4}{1} = \frac{y_2 - 6}{2}

4 = \frac{y_2 - 6}{2}

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Add 6 to both sides

8 + 6 = y_2 - 6 + 6

14 = y_2

The missing value is 14

6 0
2 years ago
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