Answer:
h(x) = -16x² + 192x + 208
784ft
6 sec
13 sec
Step-by-step explanation:
a)
h(x) = -16x² +vx + h
here v represent velocity
represent initial height of launch
h(x) = -16x² + 192x + 208
b)
h(x) = -16x² + 192x + 208
here a = -16
b = 192
c = 208
x = -b/2a
= -192/2(-16)
= 6
plug this value in the equation
h(x) = -16(6)² + 192(6) + 208
= 784ft
e)
Plug h(x)=0 in the equation
0 = -16x² + 192x + 208
divide equation by -16
x² - 12x - 13 = 0
Factors
1x * -13x = -13
1x - 13x = -12
Factorised form
x² - 12x - 13 = 0
x² + x - 13x - 13 = 0
x(x+1) -13(x+1) = 0
(x+1)(x-13) = 0
x = -1
x = 13
Since time can not be negative so we will reject x = -1
1- Formal
2- Something familiar, and something he has strong feelings about.
3- a question
4- Brainstorming
Hope this helps! : )
Answer:
14 arcade games and 8 photobooths were purchased
Step-by-step explanation:
x will represent the number of arcade games
y will represent the number of photobooths
We know that 22 total machines were bought which means that x+y=22
We also know that the total was 53600 which means that 2000x+3200y=53600
We can use substitution to solve this
x+y=22
x-22= -y
-x+22=y
Then plug this in for y in the next equation
2000x+3200(-x+22)=53600
Solve this and get x=14
Then plug in x=14 into any equation (I will choose the x+y one because that's easiest to solve)
14+y=22
this means y=8
This means that 14 arcade games and 8 photobooths were purchased
I double checked the math on desmos and it is correct
Answer:
a. (-4,8)
Step-by-step explanation:
the two lines intersect at this point
Answer:
D. No comma because the total probability is not equal to 1.
Step-by-step explanation:
Given the distribution:
The sum of the probabilities
Therefore, the distribution is not a probability distribution because the total probability is not equal to 1.
The correct option is D.
