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Norma-Jean [14]
3 years ago
8

The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial velocity of 80 feet per sec

ond is f (t) = -16t2 + 80t + 6. (a) Verify that f(2) = f(3).
Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

Answer:

f(2) = f(3) = 102 ft

Step-by-step explanation:

The height f at t = 2 seconds is given by:

f(t) = -16t^2 + 80t + 6\\f(2) = -16*2^2 + 80*2 + 6\\f(2)=-64+160+6\\f(2)=102\ ft

The height f at t = 3 seconds is given by:

f(t) = -16t^2 + 80t + 6\\f(3) = -16*3^2 + 80*3 + 6\\f(3)=-144+240+6\\f(3)=102\ ft

For both t =2 and t =3, the expression results in a height of 102 ft, therefore f(2) = f(3) = 102 ft.

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1. The sum of a two-digits number is 13. The tens digit is 8 less than twice the units digit. What is the number?
alexgriva [62]

Answer:

<u>The number is 67</u>

Step-by-step explanation:

<u>Equations</u>

Let's consider the number 83. The tens digit is 8 and the unit digit is 3. Note the tens digit's addition to the number is 80, and the unit's addition is 3. This means the tens digit adds 10 times its value, that is, 83 = 8*10 + 3.

Now, let's consider the number ab, where a is the tens digit, and b is the unit digit. It follows that

Number=10*a+b

The question gives us two conditions:

1) The sum of a two-digits number is 13.

2) The tens digit is 8 less than twice the units digit.

The first condition can be expressed as:

a + b = 13                     [1]

And the second condition can be written as:

a = 2b-8                      [2]

Replacing [2] into [1], we have:

2b-8 + b = 13

Operating:

3b = 13 + 8

3b = 21

Solving for b:

b = 21 / 3 = 7

Substituting into [2]:

a = 2*(7) - 8 = 6

Thus, the number is 67

3 0
3 years ago
2) (-8, -9). (4.-10)
const2013 [10]

Answer: √

145 or 12.04159457 for the decimal ways try 12

Step-by-step explanation: 12.0415945787923

Midpoint (−2,−9.5)

Slope −0.0833333333333333

x intercept −116.00

y intercept −9.67

4 0
3 years ago
Read 2 more answers
It costs $3.99 for 32 fl. oz. of soda. What is the unit rate?<br> Your answer
Marrrta [24]
The unit rate means we need to find it per one soda can. So, 32/32 is one. We do the same to $3.99. $3.99/32 is about 13 cents.

Unit rate is: 13 cents per soda can
6 0
2 years ago
Will mark brainliest and 15 points
defon

Step-by-step explanation:

x + y = 9. => 2x + 2y = 18.

2x + 2y = 18

- (2x - 3y = -12)

=> 5y = 30, y = 6.

Therefore x + (6) = 9, x = 3.

The solution is x = 3 and y = 6.

7 0
2 years ago
Question 5. How do I find the answer? I am lost
Svetach [21]
Easy, its b because that is the average deviation

6 0
3 years ago
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