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.
The number is composed by two digits, let them be ab, so we have:
a + b = 11
this is a pseudo-equation, we are not multiplying ab or ba, is just the digits order.
ba = ab + 9
The pairs of numbers that could comply with the first equation are:
(2,9)
<span>(3,8)
</span><span>(4,7)
</span><span>(5,6)
</span>But only the last couple <span>(5,6) comply as well with the second condition. Because 65 = 56 + 9
Therefore the unknown number is 56</span>
Answer:
0.027
Step-by-step explanation:
Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.
Answer:
0.50mp
Step-by-step explanation:hope this hepls
