Work Progress: 17.22mile/6 days = 2.87
Tonda ran 2.87 miles each day.
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:
32 + 4x ≤ 50
Step-by-step explanation:
Cost of tickets = $32
Cost of soda = $4
Total spent = $50
When we say "no more than", we mean less than or equal to (≤)
He buys 1 tickets and x sodas
32 + 4x ≤ 50
4x ≤ 50 - 32
4x ≤ 18
Divide both sides by 4
x ≤ 18 / 4
x ≤ 4.5
Shawn can buy more than 4 sodas
Answer:
Step-by-step explanation:
P(4) = 1/6
P(h) = 1/2
P(both) = 1/2 * 1/6 = 1/12
Answer: 15
Step-by-step explanation:
Each side of the smaller triangle is scaled up by 2.5.
4x2.5=10
8x2.5=20
6x2.5=15
