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
N76 [4]
3 years ago
12

Write the standard form of the quadratic equation modeled by the points shown in the table below.

Mathematics
2 answers:
rjkz [21]3 years ago
5 0

Answer:

y = 2x² - 5x + 7

Step-by-step explanation:

General form of a quadratic is:

y = Ax² + Bx + C

Using the given points, construct equations and solve for A,B and C.

When x = 0, y = 7

7 = A(0)² + B(0) + C

C = 7

y = Ax² + Bx + 7

When x = -1, y = 14

14 = A(-1)² + B(-1) + 7

A - B = 7

A = 7 + B

When x = 1, y = 4

4 = A(1)² + B(1) + 7

A + B = -3

(7 + B) + B = -3

2B = -10

B = -5

A = 7 + (-5)

A = 2

y = 2x² - 5x + 7

sattari [20]3 years ago
4 0

General form of a quadratic is:

y = Ax² + Bx + C

  • Using the given points, construct equations and solve for A,B and C.

  1. When x = 0, y = 7

7 = A(0)² + B(0) + C

C = 7

y = Ax² + Bx + 7

When x = -1, y = 14

14 = A(-1)² + B(-1) + 7

A - B = 7

A = 7 + B

When x = 1, y = 4

4 = A(1)² + B(1) + 7

A + B = -3

(7 + B) + B = -3

2B = -10

B = -5

A = 7 + (-5)

A = 2

y = 2x² - 5x + 7

You might be interested in
Select the expression that represents the following statement multiply 6 by 2, and then subtract 4. 2 - 4x6
Helen [10]
The answer is the second one, 6x2 - 4
6 0
2 years ago
Can someone help me find the diameter? <br><br> also what is a diameter even?
lukranit [14]

Answer:

24

Step-by-step explanation:

area of circle = πr²

πr² = 144π

Cancel out π

r² = 144

r = √144

r = 12

diameter = 2 x radius

diameter = 2 x 12

diameter = 24m

* diameter is the "width of a circle", the distance from the widest points of the circle

3 0
2 years ago
Stacy and Neil painted 280 ft of their living room wall with 4/5 gallon of paint. How many square feet can they paint with 3 gal
barxatty [35]

Step-by-step explanation:

4/5 gallons for 280 ft² (the ² is missing in the question ...).

3 gallons would be 15/5.

so, what do I need to multiply 4 with to get 15 ?

4×x = 15

x = 15/4

multiplying now also 280 ft² with this factor gives us the answer :

280 × 15/4 = 70 × 15 = 1050 ft²

they can paint 1050 ft² with 3 gallons of paint.

6 0
2 years ago
-3x=x-(6-2x) explain how asap, please!!
OLEGan [10]
Answer: x=1
-3x=x-6+2x
-6x=-6
x=1
7 0
2 years ago
Use simpson's rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. compare y
Lubov Fominskaja [6]

y = ln x , 1 <= x <= 3, about x axis and n = 10, dy/dx = 1/ x

S = (b a) ∫ 2π y √( 1 + (dy/dx) ^2) dx

so our f(x) is 2π y √( 1 + (dy/dx) ^2)

(b - a) / n = / 3 = (3-1) / 30 = 1/15

x0 = 1 , x1 = 1.2, x2 = 1.4, x3 = 1.6 ....... x(10) = 3

So we have , using Simpsons rule:-

S10 = (1/15) ( f(x0) + 4 f(x1) + 2 f)x2) +.... + f(x10) )

= (1/15) f(1) + f(3) + 4(f(1.2) + f(1.6) + f(2) + f(2.4) + f(2.8)) + 2(f(1.4) + f(1.8) + f(2.2) + f(2.6) )

( Note f(1) = 2 * π * ln 1 * √(1 + (1/1)^2) = 0 and f(3) = 2π ln3√(1+(1/3^2) = 7,276)

so we have S(10)

= 1/15 ( 0 + 7.2761738 + 4(1.4911851 +


5 0
3 years ago
Other questions:
  • Alice invests $8000 in two certificates of deposit; the interest on the first certificate is 2%, and the interest on the second
    13·1 answer
  • Please help me. Very confused. due tomorrow!!
    9·1 answer
  • Move values into the boxes to create an equation that represents "8 times h 24."
    15·1 answer
  • Simplify 2(x + 4) + 3(x - 4
    11·1 answer
  • Which pair of numbers is 6 a common factor of?
    9·1 answer
  • Given f(x)=x^3 and g(x)= 1-5x^2
    5·1 answer
  • IT"S TIMED NEED HELP ASAP! Find x
    5·2 answers
  • A bakery owner sold her last two cakes for $36 each. She made a profit of 24% on one cake, but had an 8% loss on the other. What
    5·1 answer
  • One species of fish in a fishery had an initial population of 255 fish and grew by 25 fish each season. A second species that wa
    7·1 answer
  • What is the value of x?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!