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
mezya [45]
3 years ago
14

The graph of y=ax^2+bx+c passes through points (0,5), (1,10), and (2,19). Find a+b+c.

Mathematics
1 answer:
nataly862011 [7]3 years ago
4 0

Answer:   a = 2   b = 3   c = 5  

Literally a+ b+c = 10, but I don't think that's what the question means to ask.

the equation is 2x² +3x + 5

Step-by-step explanation:   Substitute the values of the given coordinates into the formula and use algebra (solve a system of equations by substitution and elimination) to get the values  of a,b & c

y=ax²+bx+c    using  (0,5), (1,10), and (2,19)

5=a(0)²+b(0)+c   becomes 5= 0+0 + c .so we find c = 5

10=a(1)²+b(1)+c    becomes 10 = a + b + c

19=a(2)²+b(2)+c .  becomes 19 = 4a + 2b + c

Substitute the 5 for c.  Then rewrite

10 = a + b + 5      becomes     5 = a+ b     to eliminate b multiply this be (-2)

(-2)( 5 = a+ b) .to get -10 = -2a - 2b  

19 = 4a + 2b + 5  becomes   14 = 4a + 2b  

_______________  Add these two

14 = 4a + 2b

<u>-10 = -2a - 2b</u><u> </u>    this will eliminate the "b" term

4 = 2a       divide both sides by 2   so you have   a = 2  

substitute in 10=a(1)²+b(1)+5 to find b

10=2(1)²+b(1)+5 .becomes  5 = 2 + b   Subtract 2 from both sides

b = 3

So now you have all three values:  

a = 2  b= 3  c = 5  

I am attaching the graph. I hope this deserves Brainiest.

Best wishes in your studies!

You might be interested in
The moon has a diameter of approximately 2,200 miles. If the circumference of a circle can be found using the formula C = πd, wh
Anna007 [38]

Answer:6908 (miles) ^2

Step-by-step explanation:

diameter=2200 miles

π=3.14

Circumference=π x diameter

Circumference=3.14 x 2200

Circumference=6908 (miles)^2

4 0
3 years ago
Will mark brainly! 20 points please hurry and help!!
Nata [24]
The correct answer is number one, number four, and number five. Please park Brainliest if helpful. Thanks
6 0
2 years ago
8x-3y=6-4x in linear equation
castortr0y [4]
It would be y=4x-2 because:
8x-3y=6-4x
-8x         -8x
-3y=6-12x
/-3  /-3 /-3
y=-2+4x
y=4x-2
4 0
3 years ago
Answer ASAP with explanation and will give brainlist
finlep [7]

Answer:

34.75x

Step-by-step explanation:

7 0
3 years ago
Please help brainiest for correct answer please i need this done quick
babunello [35]

Answer:

Its the third answer

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Select the correct answer.
    5·1 answer
  • I need help with these two problems please
    14·1 answer
  • 1.) Given f(x)=x+2 and g(x)=10x-4, what is f(x)+g(x)?
    6·1 answer
  • TRUE or FALSE.
    15·2 answers
  • A sphere of radius 3 inches is sliced with two parallel planes: one passes through the equator and the other is H inches above t
    14·1 answer
  • Lisa paid $43.95 for 16.1 gallons of gasoline what was the cost per gallon rounded to the nearest hundredth
    13·2 answers
  • Trevor ran a race in 1 4/5 hours. He ran a total of 8 1/3 miles. How far did he run in one hour?
    12·2 answers
  • Solve for all values of x by factoring
    5·1 answer
  • Given the expression -2 + x + (-5) what values of x will make the expression greather than zero? Create and inequality to repres
    12·1 answer
  • Select all equations that do NOT have a solution.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!