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
myrzilka [38]
3 years ago
12

Write the formula for the parabola that has x- intercepts (3,0) and (8,0), and y- intercept (0,−2)

Mathematics
1 answer:
alexira [117]3 years ago
5 0

Answer:x^2-5x=-12(y+2)

Step-by-step explanation:

Given

Parabola has x-intercept has (3,0) and (8,0)

and Y-intercept as (0,-2)

Now the general equation of parabola is

y=ax^2+bx+c\quad \ldots(i)

Substitute  (0,-2) in (i) we get

-2=c

Now substitute (3,0) in equation (i)

0=a(3)^2+3b-2\quad \ldots(ii)

Now substitute (8,0) in equation (i)

0=a(8)^2+8b-2\quad \ldots(iii)

Solving (ii) and (iii) we get

a=\frac{-1}{12}\ \text{and}\ b=\frac{5}{12}

therefore

y=\frac{-x^2}{12}+\frac{5x}{12}-2

12y=-x^2+5x-24

You might be interested in
Toby thinks of a number less than 15. He divides it by 2 and then he adds 4. He then divides it by 3. His awnser is 3. 5
satela [25.4K]

Answer:

The number he thought of was 13

Step-by-step explanation:

Revers the problem

3.5 * 3 = 10.5

10.5 - 4 = 6.5

6.5 * 2 = 13

7 0
2 years ago
When describing average home sales prices, explain why the median might be more appropriate measure of center than the mean. Are
Anni [7]

Q. When describing average home sale prices, explain why the median might be more appropriate measure of center than the mean. A. When looking for the average, we usually don't get the approximate price that we are looking for. What we are instead receiving is the rounded figure from the various other prices, rather than finding the "center" price. Whereas, in finding the median, we get the center price (since using median we find the number that is in the approximate middle). That will get us the "core" price for the selection of the homes instead of getting the rounded figure in average. Q. Are all home prices about the same in a city? A. There are no approximate answer for this. This topic is similar to when you are deciding where to start your next business. You need to look at the environment, education, communication etc., before deciding to buy a house. From my point, I would say that not all the houses in the city have the same price. You need to look most at the built-in architectural designs to have a higher price. However, if you look for a some-what luxury house, then you will have more of a lower price.

3 0
3 years ago
Factor completely<br> (X^2 + x - 6) (2x^2 + 4x) =
Vikki [24]

Answer:

= 2x^4 + 6x^3 - 8x^2 + 24x

= 2x ( 2x^3 + 3x^2 - 4x + 12)

Step-by-step explanation:

(X^2 + x - 6) (2x^2 + 4x) =

Let's open the brackets carefully

x^2 * 2x^2 + x^2*4x + x*2x^2 + x*4x - 6*2x^2 - 24x

= 2x^4 + 4x^3 + 2x^3 + 4x^2 - 12x + 24x

= 2x^4 + 6x^3 - 8x^2 + 24x

= 2x ( 2x^3 + 3x^2 - 4x + 12)

8 0
3 years ago
Just want to double check our answer.
bearhunter [10]

0 divided by 2 is 0.

You can use the multiplicative identity property: the product of any number and zero is still zero.

Hope this helped :)

3 0
3 years ago
Please help....There are 42 boys and girls participating in an essay-writing competition. Of the competitors, 21 are in seventh
almond37 [142]
The probability of an 8th grader winning is : 14/42 which reduces to 1/3

the simulation would be : # 3 <====

because u will have 6 equal sections on ur spinner...with each section representing 7 people
one section representing 9th graders...so their is 7 of them
2 sections representing 8th graders....so their is 7 * 2 = 14 of them
and 3 sections representing 7th graders....7 * 3 = 21 of them

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is 15= 3x - 15<br> Like the process step by step
    10·2 answers
  • What is the equation for the line that passes through the point (5,5) and has a slope of 2? Please show work.
    13·1 answer
  • Shakira went bowling with her friend she paid three dollars to rent shoes and then $4.75 for each game if she spent a total of $
    6·1 answer
  • Which of the following is NOT an example of matter?
    13·1 answer
  • There are 576 heartbeats on 32 seconds the unite rate is...... heartbeats per second
    5·2 answers
  • Sally has a candy bar. if she gives 2/5th of the bar to mark and mark gives 1/2 of his piece to john, what percentage of the ori
    7·1 answer
  • A line passes through the points(8,2) and (10,3) What is its equation in slope intercept form
    11·1 answer
  • (2) Below is the graph of a function, y = f (x).
    8·1 answer
  • Last Q and A challenge. POINTS ARE Given​
    6·1 answer
  • Evaluate using the trigonometric ratios Tan 60° + Cos 30° sin 60° + Cot 30° /CSC 30° Sec 30°<br>​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!