Question

The function H(t) = −16t2 + 75t + 25 shows the height H(t), in feet, of a baseball after t seconds. A second baseball moves in the air along a path represented by g(t) = 5 + 5.2t, where g(t) is the height, in feet, of the object from the ground at time t seconds.

Part A: Create a table using integers 2 through 5 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points)

Part B: Explain what the solution from Part A means in the context of the problem. (4 points)

Answer 1

@dude

Answer 2

In order to solve for the y value, substitute in the x values (if you don't have a graph)

Answer 3

ok but how do i do this

Answer 4

how do i solve for x or y if neither of them are in the equation

Answer 5

@dude

Answer 6

x is 2, 3, 4, 5

Answer 7

ok

Answer 8

For example: \(H(2) = −16(2)^2 + 75(2) + 25\)
and \(g(2) = 5 + 5.2(2)\)

Answer 9

This is only for when x=2

Answer 10

im still so confused

Answer 11

if x = 2,3,4,5 how do you know which one is going in the equation and which ones wont

Answer 12

i dont get this

Answer 13

It asks you in part A
`Create a table using integers 2 through 5 for the 2 functions.`
"Integers 2 through 5"

Answer 14

so what you gave is the answer for part A?

Answer 15

Part of it yes, we still have to solve for when x is 3, 4 and 5

Answer 16

but we didnt solve when it was 2 did we

Answer 17

Im sorry but im so lost

Answer 18

\(H(2) = −16(2)^2 + 75(2) + 25\\
-16\times 4+150+25\\
64+150+25\\
H(2)=239\)

and
\(g(2) = 5 + 5.2(2)\\
5+5.2\times 2\\
5+10.4\\
g(2)=15.4\)

Answer 19

and do the same for 3 4 and 5

Answer 20

Right

Answer 21

ok ill try

Answer 22

h(3)=-16(3)^2+75(3)+25
h(3)=-16 x 3^2+75 x 3 +25
h(3)=-3^2 x 16+225+25
h(3)=250-3^2x16
3^2x16=144
h(3) 250-144
h(3) = 106

^CORRECT?

Answer 23

That is right

Answer 24

h(4)=-16(4)^2+75(4)+25
h(4)=-16x4^2+75x4+25
h(4)=-4^2x16+300+25
h(4)=325-4^2x16
4^2x16=256
h(4)=325-256
H(4)=69

Answer 25

^CORRECT?

Answer 26

That is also correct

Answer 27

h(5)=-16(5)^2+75(5)+25
h(5)=-16x5^2+75x5+25
h(5)=-5^2x16+375+25
h(5)=400-5^2x 16
5x16=400
h(5)= 400-400=
h(5)=0

Answer 28

^CORRECT?

Answer 29

Whats next

Answer 30

oh i forgot g

Answer 31

g(2) = 5 + 5.22
Add 10.22
Divide by both sides by 2
g(2)=5.11

Answer 32

^CORRECT

Answer 33

?

Answer 34

g(3) = 5 + 5.23
Add 10.23
Divide both sides by 3
g(3)=3.41
^CORRECT?

Answer 35

g(4) = 5 + 5.24
Add 10.24
Divide both sides by 4
g(4)=2.56
^CORRECT?

Answer 36

h(5) is correct, re check g(2)

Answer 37

g(5) = 5 + 5.25
Add 10.25
Divide both sides by 5
g(5)=2.05

Answer 38

You're supposed to multiply 5.2 and the x variable first for g(t)

I showed an example for g(2)

Answer 39

There is no division required for g(t)

Answer 40

\(\color{#0cbb34}{\text{Originally Posted by}}\) @dude
and
\(g(2) = 5 + 5.2(2)\\
5+5.2\times 2\\
5+10.4\\
g(2)=15.4\)
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 41

That is the example for g(2)

Answer 42

im confused now

Answer 43

i just looked it up https://www.symbolab.com/solver/algebra-calculator/g%5Cleft(2%5Cright)%3D5%2B5.22

Answer 44

That is assuming that g is a variable within the function, it is not important to the problem you only have to type whats after the g(#)

Answer 45

omg im sooooooo confused can you please explain more

Answer 46

i dont get thissssss

Answer 47

g(2) is just y when x equals 2
It doesn't mean anything that can help us in this problem

You can completely ignore that when solving
https://www.symbolab.com/solver/algebra-calculator/5%2B5.2%5Cleft(2%5Cright)

Answer 48

can you just help me find the answer for this i seriously am confused and i dont got how were going to answer this its 8PM im tired and i dont understand a word your saying

Answer 49

g(3) = 5 + 5.2*3
Multiply 5.2 and 3
\(\bf you~can~completely~ignore~the~g(3)for now\)
5+15.6
=20.6
That is g(3)

Answer 50

For g(4):
g(4) = 5 + 5.2*4
Multiply 5.2 and 4
\(\bf you~can~completely~ignore~the~g(4)for~now\)
5+20.8
\(\bf =25.8\)

This is g(4)

Answer 51

For g(5):
g(5)=5+5.2*5
Multiply 5.2 and 5
\(\bf you~can~completely~ignore~the~g(5)for~now\)
5+26
\(\bf 31\)

This is g(5)

Answer 52

so
g(2)=15.4
g(3)=20.6
g(4)=25.8
g(5)=31
and
h(2)=239
h(3)=106
h(4)=69
h(5)=0

Then what

Answer 53

Between what 2 seconds is the solution to H(t) = g(t) located? How do you know?

how do we get 2 seconds to solution to = g(t)

Answer 54

ok

Answer 55

question is how do i put that in writing

Answer 56

https://www.desmos.com/calculator/6ugbhcc0y0
This is the graph it may help

Answer 57

The question asked for a table, so I gave you one

Answer 58

ok nvm ill figure it out ok so what does that make the answer

Answer 59

Between 4 and 5 seconds because we see that they both might have been at the same height and would've crossed each other

Answer 60

and that graph dosnt help it makes it confusing

Answer 61

ohhh ok so if thats the answer to part a lets work on part b

Answer 62

Explain what the solution from Part A means in the context of the problem.

Answer 63

So you see when x is 4, they haven't crossed each other?

Now when you look at x=5 the line is already past the other equation
They had intersected in between those points which was labeled `intersection!`

Answer 64

passed*

Answer 65

ok

Answer 66

So this represents that shortly after 4 seconds of being thrown both baseballs would have reach the same height

Answer 67

^answer for part B