Answer:
Step-by-step explanation:
By the diagram FG = MN.
3y + 3 = 5y - 25 Add 25 to both sides
3y + 3 + 25 = 5y Subtract 3y from both sides
28 = 5y - 3y Combine
28 = 2y Divide by 2
28/2 = 2y/2
y = 15
15 is not your answer. It is just the value of y.
3y + 3 = 3*15 + 3 = 45 + 3 = 48
We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be
m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.
At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)
The slope would then be
m = (9.5-3.5)/(6-2)
m = 1.5
Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
Answer:
2 yards
Step-by-step explanation:
10 divided by 5 is 2
Type "y=-3x-12x+3" on https://www.cymath.com/answer.php?q=2%3C%3Dx%3C3 CyMath helps so much and can graph, factor, mutiply and more!
Answer:
10
Step-by-step explanation:
Let's break it down:
- We need to remove the third of ALL the cupcakes that got Vanilla Icing. 1/3 of 30 is 10. This means you need to subtract 10 from the original 30.
- This leaves 20 left
- Half of the remaining 20 will get Strawberry Icing.
- 1/2 of 20 is 10 (the amount getting Strawberry Icing)
