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
eduard
3 years ago
7

I need help to solve this

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0

Answer:

Step-by-step explanation:

The catch is to put this into the quadratic and solve for a b and c in three equations.

x = 1

a(1)^2 + b(1) + c= 0            

a + b + c + 0                (1)

x = - 1

a(-1)^2 + b(-1) + c = 2

a - b + c = 2                 (2)

x = 2

a(2)^2 + b(2) + c = 8

4a + 2b + c = 8            (3)

===================

Add 1 and 2 together

a + b + c = 0

a - b + c = 2

2a + 2c = 2           Divide by 2

a + c = 1                       (4)  

=====================

Multiply (2) by 2

2a - 2b + 2c = 4          (5)

======================

Add (5) + (3)

2a - 2b + 2c = 4

4a + 2b + c = 8

6a + 3c = 12               (6)

=====================

Multiply (4) by 3

3a + 3c = 3                 (7)

===================

Subtract (7) from (6)

6a + 3c = 12

3a + 3c =  3

3a = 9                      Divide by 3

3a/3 = 9/3

a = 3

=============

Use (4) to find c

a + c = 1

3 + c = 1                  Subtract 3 from both sides

3-3 + c = 1-3

c = - 2

=================

Use 1 to find b

3 + b - 2 = 0          Combine 3 and -2

1 + b = 0                Subtract 1 from both sides

b = - 1              

====================

Answers

a = 3

b = - 1

c = - 2

You might be interested in
Express the following fractions as the sum or difference of two fractions (x^2+y^2)/x^4
zlopas [31]

Answer:

 \frac{1}{x^2} + \frac{y^2}{x^4}

Step-by-step explanation:

\frac{x^2 + y^2}{x^4} = \frac{x^2}{x^4} + \frac{y^2}{x^4} = \frac{1}{x^2} + \frac{y^2}{x^4}

4 0
2 years ago
How many groups of 2/3 are in 3/5
amid [387]

To find the answer, we will need to divide 3/5 by 2/3.

3/5 / 2/3

3/5 x 3/2

9 / 10

There are 9/10 groups of 2/3 in 3/5.

Hope this helps!! :)

5 0
2 years ago
What is the range of the absolute value parent function?
Damm [24]

Non negative real numbers (y20)

Answer: Option B.

<u>Explanation:</u>

A non negative real number is a real number that that is either positive or zero. It's the association of the normal numbers and the number zero. In some cases it is alluded to as Z*, and it tends to be characterized as the as the set {0,1,2,3,… ,}. Z, the arrangement of whole numbers, is characterized as {… ,- 3,- 2,- 1,0,1,2,3,… }.

Since zero is commonly viewed as unsigned (neither positive nor negative) at that point, truly, it ought to be remembered for a lot of non-negative genuine numbers since it 'fits' the name. On the off chance that you needed to avoid zero, you could request the positive genuine numbers or the negative genuine numbers.

5 0
3 years ago
Area of the parallelogram? 308 meters squared
Ainat [17]
The formula to find the area of a parralogram is base x height. the base is 39 and the height is 8! Now all you have to do it multiply. So you’re final answer is 312! Don’t listen to the other person they just wanted the points! Answer: 312 !
6 0
2 years ago
Read 2 more answers
Average rate of change
MaRussiya [10]

Answer: the rate of change is 3

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is 7.1 as an improper fraction
    13·2 answers
  • What the answer to 6(3j+4+2j)
    11·1 answer
  • A triangular sail has a base length of 2.5 centimeters. The area of the sail is 3.75 square meters. How tall is the sail?
    7·1 answer
  • A rectangular piece of card has a perimeter of 40cm and width of 8cm.
    12·1 answer
  • Evaluate the expression 2x^2-y^1+3x^0 for x=3 and y=7
    10·2 answers
  • HELP ASAP!!
    12·1 answer
  • The volume of a sphere is 81 cubic centimeters. Which equation can be used to solve for the radius of the sphere?
    7·1 answer
  • PLEASE HELP WILL GIVE BRAINLIEST.
    15·1 answer
  • The temperature in my apartment measured 72 degrees on Friday. I went out of town and accidentally left the window open over the
    6·1 answer
  • 2b+y is this an equation?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!