Answer:
The turning point of the graph is at (3,-16)
Step-by-step explanation:
The general equation of curve is given as:
y = x² + ax + b
The two point for which the equation satisfies is (0,-7) and (7,0).
Substitute (0,-7) in the general equation:
y = x² + ax + b
-7 = 0² + a(0) + b
b = -7
Substitute (7,0) in the general equation:
y = x² + ax + b
0 = 7² + 7a + b
Where b = -7
0 = 49 + 7a - 7
0 = 42 + 7a
a = -6
The equation of the curve is:
a = -6 and b = -7
y = x² + ax + b
y = x² - 6x - 7
Graph of the equation is attached below.
We can see that the the turning point of the graph is at (3,-16)
6 / (2/3)
= 6 * 3/2
= 18/2
= 9
answer
there are 9 (2/3 cup) servings in 6 cups of yogurt
Answer:
x = 4
Step-by-step explanation:
Step 1: Write equation
9x - 8(x - 6) = 52
Step 2: Solve for <em>x</em>
- Distribute -8: 9x - 8x + 48 = 52
- Combine like terms: x + 48 = 52
- Subtract 48 on both sides: x = 4
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
9(4) - 8(4 - 6) = 52
36 - 8(-2) = 52
36 + 16 = 52
52 = 52
Answer:
c
Step-by-step explanation:
just take out the brackets and add the like terms.