The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).
A) f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground
B) f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
C) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
D) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground
Answers
Answer:
A) f(t) = 4(t − 1)^2 + 3; the minimum height of the roller coaster is 3 meters from the ground
Step-by-step explanation:
f(t) = 4t^2 − 8t + 7
Factor out 4 from the first two terms
f(t) = 4(t^2 − 2t) + 7
Complete the square
(-2/2)^2 =1 But there is a 4 out front so we add 4 and then subtract 4 to balance
f(t) = 4( t^2 -2t+1) -4 +7
f(t) = 4( t-1)^2 +3
The vertex is (1,3)
This is the minimum since a>0
The minimun is y =3 and occurs at t =1
Answer:
The above answer is correct.
Step-by-step explanation:
Related Questions
Replace the emojis with the correct numbers! Each emoji is worth the same amount each problem. (Example: Snowman is worth the same in each problem)
☃️ + ⭐ = 20
+ ☃️ = 8
⭐ = ?
Answers
Hope this helps!
evaluate (2x+3y)2 solve
Answers
Answer:
[tex]4x+6y[/tex]
Step-by-step explanation:
[tex]2\left(2x+3y\right)[/tex]
[tex]2\times \:2x+2\times \:3y[/tex]
[tex]4x+6y[/tex]
[tex]\boxed{\bold {HOPE\: IT\: HELPS\: :)}}[/tex]
True or False: Collection on account and sale of services for cash are considered cash inflows, while payment on account and payment of salaries are considered cash outflows from operating activities.
Answers
Answer:
true
Step-by-step explanation:
make this is helpful for you
A Hospital telephone operator has observed that calls arrive at a rate of 300 calls per hour. What is the probability that there are exactly 5 calls in 10 minutes?
Answers
Answer:
It can be done using poisson distribution.
λ = 30 calls/hr = 1.5 calls/3min
Now P(X=x)=e−λ.λxx!
So P(X=0)=e−1.5
Step-by-step explanation:
help plz (asap) ..............................................................................
Answers
Answer:
oof u alone kid
Step-by-step explanation:
How much money is saved by buying a baker’s dozen instead of 13 individual rolls?
Number of rolls
6
8
Baker’s dozen
Price ($)
$3.60
$4.80
$7.20
Answers
Answer:
0.60
Step-by-step explanation:
If you purchase 6 rolls, you pay $3.60
Each roll is $0.60.
If you purchase 13 individual rolls, you pay
13 x 0.6 = $7.80
But if you purchase the Baker's dozen, you pay only $7.20, so you save $0.60
7.80 - 7.20 = 0.60
Answer: 0.60
Step-by-step explanation:
If you purchase 6 rolls, you pay $3.60
Each roll is $0.60.
If you purchase 13 individual rolls, you pay
13 x 0.6 = $7.80
But if you purchase the Baker's dozen, you pay only $7.20, so you save $0.60
7.80 - 7.20 = 0.60
if your brother has saved $60 to spend on basketball cards
Answers
Answer:
Your brother can buy anywhere from 1 to 6 baseball cards depending on how rare they are!
My friend needs your help
Answers
Answer:
I can't make a graph, but you would start by putting a point at -1 on the Y axis, then plot the rest of the points by going up 4, and over 7 from the original point you plotted
Step-by-step explanation:
I hope you can make sense of that
What is 5 14/12 in simplest form
Answers
Answer:
the answer is probably 7/6
hope I am correct and if not I'm sorry
Each side of the triangle is represented by an expression. Find the value of x is the triangle has a perimeter of 73.
Answers
Answer:
Step-by-step explanation:
The answer is 27
The value of x is 4.
What is the perimeter of a triangle?The perimeter of a polygon is the total length of the boundary. For a triangle, we can find it by adding the lengths of its three sides. We can find the length of the fencing required for a triangular park by finding the perimeter of the triangle.
The triangle has a perimeter of 73.
[tex]7x-2+3x+9+8x-6=73\\18x+1=73\\18x=72\\x=4[/tex]
Learn more about triangles here https://brainly.com/question/2938476
#SPJ2
My question that I need help on
Answers
Answer:
Step-by-step explanation:
The other option is 32
Answers
Answer:
32
Hope you could get an idea from here.
Doubt clarification - use comment section.
Please help me pleaseeee
I’ll give brainliest
Answers
Sorry it’s not the best
what two numbers multiply to -34 and adds to -15?
Answers
Answer:2.78301
12.21699
Step-by-step explanation:
Multiply:
2.78301 x 12.21699 = 34
Add
2.78301 + 12.21699 = 15
what is the slope of the line tha passes through the points (4,-9) and (8,-3)
Answers
5 ex to the power of 2. minus 36 ex. + 36. = 0
Answers
Answer:
The answer is x=6
What is the perimeter of triangle ABC with coordinates of A(3,4), B(3,11), C(27,4)
Answers
Answer:
Is there supposed to be a picture or no?
Step-by-step explanation:
please help i will mark brainliest
Answers
Answer:
. (5,20)
Step-by-step (x,y)=(5,20)
Hope this helps
What is 0.02349 written in standard form to 3 significant figures
Answers
Solve from right to left
[tex]\\ \sf\Rrightarrow 0.02349[/tex]
[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]
[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]
Option C is correct
Which of the following is an irrational number?
A
64−−√
B
90−−√
C
25−−√
D
169−−−√
please help
Answers
Answer:
sqrt(90) is irrational
Step-by-step explanation:
sqrt(64) = 8
sqrt(90) = 3 sqrt(10)
sqrt(25) =5
sqrt(169)=13
The only one that is not simplified to an integer is sqrt(90)
sqrt(90) is irrational
The value of 63 is between what two numbers?
V
O 62 and 64
O 31 and 32
O 7 and 8
0 3 and 4
Answers
Answer:
62 and 64
Explanation:
As easy as counting,
62, 63, 64
No files please help me on this for math
Answers
Answer:
y=3x+8
Step-by-step explanation:
Answer:
y=1.5x+11
Step-by-step explanation:
PLEASE HELP!! WILL GIVE BRAINLY!
Answers
Answer:
Step 1: 10 group(s) of 23=230
Step 2: 6 group(s) of 23=138
Step 3: Add the partial quotients: 10 + 6 = 16
Step-by-step explanation:
182,000/907 step by step please
Answers
Answer:
200 R 600
or
200 600/907
Step-by-step explanation:
0 0 0 2 0 0
9 0 7 1 8 2 0 0 0
− 0
1 8
− 0
1 8 2
− 0
1 8 2 0
− 1 8 1 4
6 0
− 0
6 0 0
− 0
6 0 0
help QUICK PLS 12 POINTS JUST PLS
Answers
Answer:
The answer is 8.025.
Hope that helps. x
Yup, the guy above me is correct.
pls help this is homework
Answers
Answer:
ans 144
Step-by-step explanation:
hope this helps
Answer:
144
Step-by-step explanation:
First we can start by replacing x with the value (2)
[tex]120 + 18(2) - 3 {(2)}^{2} [/tex]
[tex]120 + 36 - 3(4)[/tex]
[tex]120 + 36 - 12[/tex]
Therefore the final answer is 144
help me please!!!!!!!!!!
Answers
Answer:
-35
Step-by-step explanation:
Someone please help me asap I beg you guys please I’ll mark BRAINLIEST
Answers
Answer:
y = 3
x = 2 is your answer may be
Answer:
y=4/3x+5
Step-by-step explanation:
kari purchased 3 cherry trees for sale. Each cherry tree cost $9 less than its full price. She paid a total of $135
Answers
Answer:
whats the question?
Step-by-step explanation:
Answer:
each tree was $36
Step-by-step explanation:
if the trees are $9 less then the full price and she purchased 3
9 times 3 is 27 135-27 is 108 so then when you divide 108 and 3 to get $36
what is the transformation of f(x)=|x-9|
Answers
Answer: X=9
Step-by-step explanation:
Answer:
f(x) = x-9 {9 < x}
f(x) = 0 {x = 9}
f(x) = -x - 9 {x < -9}
Step-by-step explanation:
I'm not too sure what transformation you want. However,,,
f(x)=|x-9| can be changed to function
f(x) = x-9 {9 < x}
f(x) = 0 {x = 9}
f(x) = -x - 9 {x < -9}
without absolute value.
