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
Advocard [28]
3 years ago
13

What is the vertex form, f(x) = a(x - h)2-k, for a parabola that passes through the point (2,8) and has (1,0) as its

Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0

Answer:

Step-by-step explanation:

hello :

f(x) = a(x - h)²-k   ....vertex form  when the vertex is : (h,k)

h=1  and  k=0   so : f(x) = a(x-1)²

a parabola that passes through the point (2,8) : f(2)=8

a(2-1)² =8

a= 8

f(x) = 8(x-1)²=  8(x²-2x+1)

f(x) 8x²-16x+8   .....standard form

You might be interested in
The perimeter of a square is 109.8 square inches. what is the length of one square? A 2.74 in B 10.98 in C 25 in D 27.45 in
Kitty [74]

Answer:

The perimeter of a square is 109.8 square inches. what is the length of one square? A 2.74 in B 10.98 in C 25 in D 27.45 in

Step-by-step explanation:

5 0
2 years ago
The table gives estimates of the world population, in millions, from 1750 to 2000. year population year population 1750 790 1900
Tems11 [23]
The poopulation exponential model is given by

P(t)=P_0e^{kt}

Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.

Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:

970=790e^{50k} \\  \\ \Rightarrow e^{50k}=1.228 \\  \\ \Rightarrow 50k=\ln{1.228}=0.2053 \\  \\ \Rightarrow k=0.0041

Thus, the exponential equation using the 1750 and the 1800 population values is P(t)=790e^{0.0041t}

The population of 1900 using the 1750 and the 1800 population values is given by

P(t)=790e^{0.041\times150} \\  \\ =790e^{0.6158}=790(1.8511) \\  \\ =1,462

The population of 1950 using the 1750 and the 1800 population values is given by

P(t)=790e^{0.041\times200} \\  \\ =790e^{0.821}=790(2.2729) \\  \\ =1,796

From the table, it can be seen that the actual figure is greater than the exponential model values.
7 0
3 years ago
Need help on this please
uranmaximum [27]
7/8% is .875 as a decimal.
4 0
3 years ago
Read 2 more answers
A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through
ExtremeBDS [4]

Answer:

C) S = {F, PF, PPF, PPP}

Step-by-step explanation:

For this case, we know that a person is trying to gain access to a bank vault and needs to go through 3 security doors, and we know that if the person does not pass a door, then he/she has no other attempts. We denote P= Successful pass , F= Failed pass

And we are interested on the sample space, we need to remember that the sample is the set with all the possible values for an experiment.

For this case the person can fail at the 1,2 or 3 try

For the case that fails at the 1 try we have F

For the case that fails at the 2 try we have PF

For the case that fails at the 3 try we have PPF

And the last option is that the person not fails at any try and we have PPP

So then the sample space would be given by:

C) S = {F, PF, PPF, PPP}

6 0
3 years ago
Maya is building a fence around her garden. For every 3 feet of fencing, the cost is $18.
Ipatiy [6.2K]

Answer:

12

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • a rectangular prism has a volume of 729 ft3. the length, width, and height are all the same. what is the length of each sode of
    12·1 answer
  • 7 (8.02) need answer asap
    8·1 answer
  • Which of the sets of ordered pairs represents a function?
    8·2 answers
  • What is 2÷766 in long division ​
    10·1 answer
  • Ronald states that the numbers 1/11 is not rational but Nathaniel says it is rational which boy is correct and why
    5·1 answer
  • Satara was having fun playing poker. She needed the next two cards dealt to be hearts so she could make a flush (five cards of t
    12·1 answer
  • The sum of two numbers is 20, and the difference is 40
    15·2 answers
  • Luke 840 eggs in one hour The graph shows the time and number of eggs Daphe ate.
    6·1 answer
  • PLEASE HURRY I WILL MARK BRAINLIEST
    8·1 answer
  • Calculate the quotient 9/4 divided by 3/8
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!