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
dolphi86 [110]
3 years ago
9

What is the equation, in standard form, of a parabola that contains the following points? (-2,18),(0,4),(4,24)

Mathematics
1 answer:
nydimaria [60]3 years ago
6 0
Y=ax² + bx + c and A(-2,18), B(0.4), C(4,24) given

1)Let's determine 1st the value of c in using the pair of B
4= a(0)² + b(0) + c , c=4 and y=ax²+bx+4

2) Use the pair of A: 18 = 4a -2b + 4===> 4a-2b=14

3) Use C pair: 24 = 16a+4b+4 ==> 16a+4b=20

4) solve the system equation in 2) and 3) and you'll find a=2 and b=-3

Hence the equation  is y =2x²-3x+4



You might be interested in
The dimensions of a conical funnel are shown below: A conical funnel is shown with the height of the cone as 8 inches and the ra
ELEN [110]

Answer:

B

Step-by-step explanation:

r=3 in

h=8 in

Volume of funnel

V=\frac{1}{3}\pi r^2h\\=\frac{1}{3} \times 3.14 \times 3^2 \times 8\\=75.36 in.^3\\time ~taken~to~drip out=\frac{75.36}{15}\\\approx 5.02~minutes.

7 0
3 years ago
Read 2 more answers
Emily spent 1/2 of her money at the grocery store.Then, she spent 1/2 of what was left at the bakery. Next, at the music store,
Artist 52 [7]
I believe the answer is $48 because 6 * 2 is 12 and 12 * 2 is 24 and 24 * 2 is 48, thus 48$. Please feel free to check my work, though.
4 0
3 years ago
Find the mean of the data in the bar chart below.
Snowcat [4.5K]
<h2>Answer:</h2>

12

<h2>Step-by-step explanation:</h2>

<u><em>The mean is also the average.</em></u>

Add up all the number of students all together:

12+13+14+9

48

Now, Divide the total amount of students (48) by the amount of numbers you added (in this case, 48/4 because we added 4 numbers wich are 12+13+14+9)

The average amount of students is 12

7 0
3 years ago
Which value is an input of the function? –14 –2 0 4
Nina [5.8K]

Answer:

the value is 4.

Step-by-step explanation:

8 0
3 years ago
Z varies directly with X squared and inversely with Y. When X equals two and Y equals four, Z equals three. What is the value of
gayaneshka [121]

Answer:

B

Step-by-step explanation:

Set up the equation

z = \frac{kx^2}{y}

Plug in the numbers to find the value of k

3 = \frac{k(2^2)}{4}

12 = 4k

3 = k

Solve to find the value of z

z = \frac{3(4^2)}{9}

z = \frac{3(16)}{9}

z = 48/9

z = 16/3

8 0
3 years ago
Other questions:
  • In May, there were 157 people living in Kristin's neighborhood. By August, the population had increased 21%. How many people wer
    13·1 answer
  • Match the expression with its name.
    8·1 answer
  • An accountant makes 57,000 per year. what is the monthly salary
    5·1 answer
  • Write the given expression as an algebraic expression in x. tan(2 cos^-1(x))
    11·1 answer
  • An infant is 32.625 inches (in) long. Write this as a common fraction.
    15·2 answers
  • Two students withheld their scores to determine the strength of the model. Using the actual line of best fit equation, predict t
    11·2 answers
  • 2. Kervins is $28 in debt because he borrowed money to buy food after school. He plans to pay back his debt at a rate of $7 per
    7·1 answer
  • No links plz. Need help asap.
    11·1 answer
  • For what value of Y does 125=(1/25) Y-1
    12·1 answer
  • Un triángulo rectángulo ABC recto en B , en la region relativa al lado AB se ubica el punto P, tal que la m
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!