Answer:
y = x² + 2x + 5
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here the vertex = (- 1, 4), thus
y = a(x + 1)² + 4
To find a substitute (0, 5) a point on the graph into the equation
5 = a(0 + 1)² + 4
5 = a + 4 ( subtract 4 from both sides )
a = 1, thus
y = (x + 1)² + 4 ← expand and simplify
= x² + 2x + 1 + 4
= x² + 2x + 5
Answer:
she purchased 6 compact discs
Step-by-step explanation:
13.95 × 6 + 1.95= 85.65
The answer is 19.38
I hope i helped! Feel free to mark brainliest!
Neither because they bot weigh a pound
Answer:
Step-by-step explanation:
In order to make a specific shade of green paint, a painter mixes 1 1/2 quarts of blue paint. Converting 1.5 quarts to cup,
1 quart = 4 cups
1.5 quarts = 1.5 × 4 = 6 cups
She also used 1/2 gallon of white paint. Converting 0.5 gallons to cup,
0.0625 gallons = 1 cup
0.5 gallons = 0.5/0.0625 = 8 cups
This means that the ratio of cups of blue paint to green paint to white paint is 6: 2 :8
Total ratio = 6 +2 + 8 = 16
To make 100 cups of this shade of green,
Cups of blue paint needed = 6/16 × 100 = 37.5 cups
Cups of green paint needed = 2/16 × 100 = 12.5 cups
Cups of white paint needed = 8/16 × 100 = 50 cups
