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
Tanya [424]
3 years ago
11

Find a parabola with equation y=ax^2+bx+c that has a slope 10 at x=1, slope -26 at x=-1, and passes through the point (2,29)

Mathematics
1 answer:
Hatshy [7]3 years ago
6 0

9514 1404 393

Answer:

  y = 9x^2 -8x +9

Step-by-step explanation:

The given equation has derivative ...

  y' = 2ax +b

The requirements on slope give rise to two equations:

  2a(1) +b = 10

  2a(-1) +b = -26

Adding these equations together gives ...

  2b = -16   ⇒   b = -8

Then we have ...

  2a -8 = 10

  a = (10 +8)/2 = 9

__

The given point lets us find the constant term c.

  y = 9x^2 -8x +c

  c = y -(9x -8)x = 29 -(9(2) -8)(2) = 29 -20 = 9

The equation of the parabola is ...

  y = 9x^2 -8x +9

You might be interested in
Jenny has 63 grapes to put in a fruit salad but she only wants to add 40% of them to the Bowl how many grapes does she use for t
crimeas [40]
You multiply 63  by .40
You get 25.2, so 25 grapes
7 0
3 years ago
Read 2 more answers
Simplify: 6! − 3! 6!(1 − 0.5!) 3!((6x5x4) − 1) 3!(2! − 1) 6!(1 − 2!)
Nikolay [14]

The simplified expression of the complex number 6! - 3! is another complex number 6i(1 - 0.5)

<h3>How to simplify the expression?</h3>

The complex number expression is given a:

6! - 3!

Factor out i from the expression

6! - 3! = i(6 - 3)

Factor out 6 from the expression

6! - 3! = 6i(1 - 0.5)

The above means that the simplified expression of the complex number 6! - 3! is 6i(1 - 0.5)

Read more about complex numbers at:

brainly.com/question/10662770

#SPJ1

6 0
2 years ago
With a sample size of 200 adults what is probability that more than 35% have high blood pressure
ikadub [295]

Answer:

7

Step-by-step explanation:


4 0
3 years ago
Need help asap will give brainly
shutvik [7]

Answer:

3 is 75

4 is 124

5 is 61

Step-by-step explanation:

for number 4 angles 6 and 8 are supplementary so they add up to equal 180

if they said that 6=56 then we we subtract 56 from 180

180-56=124 so angle 8 equals 124

for number 5 angles 3 and 5 are also supplementary so the values combined will ad up to equal 180. If they say that angle 5 is equal to 119 then all we have to do to get the value of angle 3 is subtract 119 from 180

180-119-61 so angle 3 equals 61

hope this helps :D

3 0
3 years ago
Read 2 more answers
a county has an area of 215 square miles if the population density is 34.5 people per square mile what is the population
miskamm [114]
7417.5 is the total amount of people in that country 
5 0
3 years ago
Read 2 more answers
Other questions:
  • Fred Erickson borrows $2,500 for 3 years at 9% annual interest. His montly payment is $79.50. What is the total payback includin
    11·1 answer
  • Can the numbers 24, 32, and 40 be the lengths of three sides of a triangle? Why or why not
    7·1 answer
  • How many Lowes could a Rob Lowe rob if a Rob Lowe could rob Lowes.
    5·2 answers
  • What is the rate of change?
    5·1 answer
  • Evaluate the expression 43/23
    14·1 answer
  • Okay plzzz I need Help!
    11·1 answer
  • PLS HELP. Find the value of each variable.
    5·2 answers
  • (Choose all that apply): Find the exact and approximate volume for the sphere below. Round to the nearest hundredth (two decimal
    7·2 answers
  • Two angles are complementary.
    6·1 answer
  • Can someone please help me with these problems and show work, if the answer isn’t with work I will remove your comment and you w
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!