1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Setler [38]
3 years ago
10

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
Mathematics
2 answers:
wariber [46]3 years ago
4 0

Answer:

The above answer is correct.

Step-by-step explanation:

NISA [10]3 years ago
3 0

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

You might be interested in
Write an expression for 5 times the difference of twice a number and 4
777dan777 [17]

Answer:

1. 50-x

2. 2x+189

3. x+109

4. x+99

5. x*(76-39)

6. 75+x

7. 45-3x

8. 2x+15

9. 3x-25

10. x*(x+88)

Step-by-step explanation:

4 0
2 years ago
10) Solve the inequality for x.
Stella [2.4K]

Answer:

it is D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Select the locations on the number line to plot the points 9/2 and −7/2 .
myrzilka [38]
To plot these points on the number line, you should label the long lines on the number line as such starting from the left (-5-already there, -4,-3,-2,-1,0,1,2,3,4,5-already there).

Now take each number and convert the improper fraction into a mixed number. 9/2 = 4 1/2 and -7/2 = -3 1/2.

4 1/2 would plotted on the line exactly in between the 4 and 5.

-3 1/2 would be plotted on the line exactly halfway between -3 and -4.

You will draw a dot to show each of these positions on a number line.
8 0
3 years ago
Read 2 more answers
Can somebody pls answer this ASAP plsssssssssssssssssssssssssss​
34kurt

Answer: D

Dependent variable is Distance.

4 0
3 years ago
12h-5+4h=43 solve this equation ASAP please
navik [9.2K]

Answer:

H = 3

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What’s 4 divided by 9.1
    15·1 answer
  • The archway of the main entrance of a university is modeled by the quadratic equation y = -x2 + 6x. The university is hanging a
    14·2 answers
  • Please help me with these questions​
    11·2 answers
  • Help please . Lost .
    9·1 answer
  • Are the given values in the table enough information to show an exponential function instead of a linear function? If not, expla
    6·1 answer
  • A tipi is set up with tip poles that are 36 feet long. The poles extend 3 feet above the top of the tipi. The diameter of the ti
    5·1 answer
  • 3(-5+2x) =21, 15 + 2x=21 is this distributed right?
    11·1 answer
  • 3 2/3 of 4/5 of pizza equals how many pizza
    12·1 answer
  • What is 2/3x2/5pls I need an answer fast sorry I suck at math
    15·1 answer
  • Does someone mind helping me with this problem? Thank you!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!