Answer: A) Point B, because if cups of frosting are 50, then drops of food coloring will be 200.
This is because the proportion of frosting to food coloring is 1:4, and if the answer to A is simplified (50:200), the ratio would be the same.
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x≤−3
Interval Notation: ( − ∞ , − 3 ]
Refer to the diagram shown below.
When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15 (1)
Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6 (2)
a(90 - h)² + k = 6 (3)
From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.
From (1) and (2), obtain
225a + k = 15
2025a + k = 6
Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft
Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125
A graph of the solution verifies that the solution is correct.
Answer:
C. 4/10
Step-by-step explanation:
a. 2/10 = 0.2
b. 2/9=0.2222...
c. 4/10=0.4
D. 4/9=0.4444...
Answer:
116.33
Step-by-step explanation: