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2 years ago

The path of a ball is modelled by the quadratic function ℎ(t) = −5(t − 2)^2 + 23 where

Mathematics

2 answers:

Maru [420]2 years ago

8 0

Answer:

Step-by-step explanation:

the answer is the y intercept of the equation

sukhopar [10]2 years ago

7 0

Answer:

23m, at t=2s

Step-by-step explanation:

Putting the physics part aside, you can rewrite the height function as

$h(t)= 23 - 5(t-2)^2$ . Now you have a fixed value, 23, and you're subtracting to it a quantity that, being a square, is at least zero. The maximum value of that sum you have when you're not subtracting anything, that is 23. That happens when $5(t-2)^2 = 0 \rightarrow t=2$

Alternatively, if you know how to determine the velocity from that kind of motion, you can find out the speed, and the highest altitude you reach when the speed is zero, which leads to a bunch of calculation for the same result.

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Plz help and show how you did the math question

Nikitich [7]

Answer:

$x = - 3$

$y = - 2$

Step-by-step explanation:

Since y=x+1 plug it into bottom equation as y.

$x + 1= 5x + 13$

Subtract 1 from both sides

$x = 5x + 12$

Subtract 5x from both sides

$- 4x = 12$

Divide both sides by -4

$x = - 3$

Now x=-3 into the top equation to find y

$- 3 + 1 = - 2$

y=-2

8 0

3 years ago

How to solve division with exponents

otez555 [7]

In division, exponents with the same base are subtracted.
example:
$\frac{x^4}{x^2} = x^2 \\ \\ \frac{ x^{3} y^{2} }{ x^{6} y} = \frac{y}{ x^{3} } \\ \\ Negative-exponents \\ \\ x^{-2} = \frac{1}{ x^{2} }$

5 0

3 years ago

the sum of four consecutive integers is 2174. what are the integers? (continuation) the smallest of four consecutive integers is

timofeeve [1]

The smallest of the four numbers is x.
Since the four numbers are consecutive, this means that each number is one more than the previous.
Therefore, the four numbers are:
x
x + 1
x+1 + 1 = x+2
x+2 + 1 = x+3

Now, we are given that the sum (s) of the four numbers is 2174
This means that:
s = x+x+1+x+2+x+3
s = 4x + 6

We are given that s = 2174. Substitute with s in the above equation and solve for x as follows:
2174 = 4x + 6
4x = 2174 - 6
4x = 2168
x = 2168 / 4
x = 542

Based on the above calculations, the four numbers are:
542, 543, 544 and 555

7 0

2 years ago

Read 2 more answers

28 is 9 less than twice a number

photoshop1234 [79]

Answer:

Step-by-step explanation:

28=2x-9

37=2x

x=18.5

5 0

3 years ago