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
lora16 [44]
3 years ago
9

Pls help, thank you

Mathematics
2 answers:
Lemur [1.5K]3 years ago
8 0

Answer:

  • y = -3x² + 7x - 9

Step-by-step explanation:

<u>Given quadratic function:</u>

  • y = ax² + bx + c

<u>Points on the graph:</u>

  • (-2,-35), (1,-5), (3,- 15)

<u>Substitute values of x and y and solve the system of equations:</u>

  • -35 = a(-2)² + b(-2) + c ⇒ -35 = 4a - 2b + c   ⇔ eq 1
  • -5 = a(1)² + b(1) + c ⇒ -5 = a + b + c               ⇔ eq 2
  • -15 = a(3)² + b(3) + c ⇒ -15 = 9a + 3b + c       ⇔ eq 3

<u>Subtract eq 2 from eq 1:</u>

  • -35 - (-5) = 4a - 2b + c - a - b - c
  • -30 = 3a - 3b
  • b = a + 10                                                         ⇔ eq 4

<u>Subtract eq 2 from eq 3:</u>

  • -15 - (-5) = 9a + 3b + c - a - b - c
  • -10 = 8a + 2b
  • b = -4a - 5                                                       ⇔ eq 5

<u>Compare eq 4 and eq 5, solve for a:</u>

  • a + 10 = -4a - 5
  • a + 4a = -5 - 10
  • 5a = -15
  • a = -3

<u>Find the value of b using eq 4:</u>

  • b = -3 + 10
  • b = 7

<u>Find the value of c using eq 2:</u>

  • -5 = -3 + 7 + c
  • c = -5 - 4
  • c = -9

<u>We now have a, b and c:, the function is:</u>

  • y = -3x² + 7x - 9

Ronch [10]3 years ago
7 0

Answer:

y = -3x² + 7x - 9

Step-by-step explanation:

Given quadratic function:

y = ax² + bx + c

Points on the graph:

(-2,-35), (1,-5), (3,- 15)

Substitute values of x and y and solve the system of equations:

-35 = a(-2)² + b(-2) + c ⇒ -35 = 4a - 2b + c   ⇔ eq 1

-5 = a(1)² + b(1) + c ⇒ -5 = a + b + c               ⇔ eq 2

-15 = a(3)² + b(3) + c ⇒ -15 = 9a + 3b + c       ⇔ eq 3

Subtract eq 2 from eq 1:

-35 - (-5) = 4a - 2b + c - a - b - c

-30 = 3a - 3b

b = a + 10                                                         ⇔ eq 4

Subtract eq 2 from eq 3:

-15 - (-5) = 9a + 3b + c - a - b - c

-10 = 8a + 2b

b = -4a - 5                                                       ⇔ eq 5

Compare eq 4 and eq 5, solve for a:

a + 10 = -4a - 5

a + 4a = -5 - 10

5a = -15

a = -3

Find the value of b using eq 4:

b = -3 + 10

b = 7

Find the value of c using eq 2:

-5 = -3 + 7 + c

c = -5 - 4

c = -9

We now have a, b and c:, the function is:

y = -3x² + 7x - 9

You might be interested in
The sequence below shows the
serious [3.7K]

Answer:

Step-by-step explanation:

Option B 2. Now is the correct answer because when we multiply 6 by 2 we get 12 then we multiply 12 by 2 we get 24

8 0
3 years ago
Are triangles DEF and LNM similar if LN equals 4, MN equals 3, DE equals 12, and FE equals 9?
nordsb [41]

Answer:

A

Step-by-step explanation:

DE corrsponding to the LN, EF corrsponding to the MN, and LN:DE=MN:FE=3

and angel N is corrsponding to the angle E,so it 's SAS.

6 0
3 years ago
Read 2 more answers
Simplify the expression -9+7
xenn [34]

We have

-9 + 7 = -2

You can also rewrite this as

7 - 9 = -2

If it makes you more comfortable.

Hope this helps.

7 0
3 years ago
Read 2 more answers
What does this verse teach about our speech? "Settle it therefore in your hearts, not to meditate before what ye shall answer: F
Ierofanga [76]
B. God will give you the words.
5 0
3 years ago
A block of sugar maple wood has a mass of 82.8 g and density of 0.69 ​g/cm3​. The block is a rectangular prism with a length of
Fed [463]

Answer:

6

I took the test

6 0
2 years ago
Read 2 more answers
Other questions:
  • Naomi lives 5 1/2 blocks north of school. Marco lives 8 blocks north of school. How far does Naomi live from Marco
    6·1 answer
  • X 0 2 10 20
    6·1 answer
  • Which is an equation of a line with an x-intercept of -4 and a y-intercept of 3? A. Y= 3/4x-4 B. y=3/4x+3 C. Y=-3/4x-4 D. Y=-3/4
    14·1 answer
  • What is 3/2+3/5+9/10
    10·1 answer
  • Which of the ratios below is equivalent to 3:5? Select all that apply.
    14·1 answer
  • Vincent has already finished 5 oil changes today, and can complete more at a rate of 1 oil change per hour. Warren just came on
    5·1 answer
  • Someone HEEEEEELLLLPPP I WANNA PLAY TRAILMAKERS TONIGHT:(
    6·1 answer
  • When converted to a household measurement, 9 kilograms is approximately equal to a
    13·1 answer
  • Paul made $70 shoveling snow and $25 salting driveways. He set 35% of his total earnings aside for taxes. How much did he set as
    14·1 answer
  • Find the outliers in the given data set below. 69, 16, 79, 80, 82
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!