Find the quadratic function y=ax^(2)+c with a graph that includes (0,1/2) (-3,73/2).

1 answer:

6 0

The answer is B. The way you find it is through substitution. First use the coordinate (0, 1/2) in y = ax^2 + c to solve for c: 1/2=a(0)^2 + c--> 1/2=c. Now use that c value in the same y = ax^2 + c equation with the other coordinate to solve for a: 73/2 = a(-3)^2 + 1/2. Subtract 1/2 from both sides to get 72/2=9a. 72/2 is 36. So 36 = 9a...a = 4. Now fill in your a and your c to get y = 4x^2 + 1/2

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Enter an expression equivalent to (3x^2+2y^2-3x) + (2x^2+y^2-2x) - (x^2 + 3y^2 +x)

11111nata11111 [884]

Answer:

4x² - 6x

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)

Step 2: Simplify

[Distributive Property] Distribute negative: 3x² + 2y² - 3x + 2x² + y² - 2x - x² - 3y² - x
Combine like terms (x²): 4x² + 2y² - 3x + y² - 2x - 3y² - x
Combine like terms (y²): 4x² - 3x - 2x - x
Combine like terms (x): 4x² - 6x

4 0

3 years ago

If the tangent line to y = f(x) at (7, 4) passes through the point (0, 3), find f(7) and f '(7).

jarptica [38.1K]

Hello :
f'(7) = the slope of the tangent line : let A(7,4) B(0,3)
the slope is : (YB - YA)/(XB -XA)= (3-4)/(0-7) = -1/-7 = 1/7=f'(7)
the equation of the tangent line is :
y-3 = 1/7 (x-0)
y = (1/7)x+3
the line tangent and the graph of : f passes through the point A(7, 4)
x= 7 y=4 so : f(7) =4

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3 years ago

One batch of fruit punch contains 1/3 quart grape juice and 1/5 quart apple juice. Colby makes 11 batches of fruit punch. How mu

zhuklara [117]

Answer:

3.66666666667

Step-by-step explanation:

If you multiply the number of batches he makes and the amount of grape juice he needs for every quart, you get and answer of 3.66666666667.

1/3 * 11= 3.66666666667

If you need to round the answer it would be 3.67

8 0

3 years ago