First, we get ax^2+bx+c. Next, we know that the line of symmetry is -b/2a. Since we know that there is a maximum value, the parabola is facing downwards, so a is negative. For random numbers, we can say that a = -0.5 and b=-10 (b needs to be negative for -b/2a to equal -10), getting -0.5x^2-10x+c. Plugging -10 in for x (since -10 is the middle it is the max), we get -50+100=50. Since the maximum needs to be 5, not 50, we subtract 45 from the answer to get it and therefore make c = -45, getting -0.5x^2-10x-45
Answer:
Let them defrost first, then heat them up for a couple of minutes in the toaster.
Step-by-step explanation:
Answer:
QR = 86
Step-by-step explanation:
<em>Trust.</em>
Answer:
the intrinsic growth rate of the population = 0.67 - 0.06 = 0.61 or 61%
Step-by-step explanation:
since populations increase exponentially, the same will happen here
in 5 years the population should be:
P₅ = P₀e°⁶¹ˣ⁵ = 140e°⁶¹ˣ⁵ = 2,956.15 ≈ 2,956
in 10 years the population will be:
P₁₀ = P₀e°⁶¹ˣ¹⁰ = 140e°⁶¹ˣ¹⁰ = 62,420.09 ≈ 62,420
when you are using exponential growth rates, we have to assume that r will always remain constant
Answer:
A. -1/5
B. 8 gallons
C. 75 miles driven
Step-by-step explanation:
Part A is essentially just asking for the slope, which is written as a fraction with the numerator being the number of units the line goes up/down and the denominator being the number of units the line goes left/right. Because the line is going down from left to right, the slope is negative. The slope is -1/5.
Part B can be answered by simply looking at the graph and seeing where the line is at above 175 miles, which is 8 gallons.
Part C can be answered in the same way as Part B, by looking at where the line is at when level with 12 gallons, which is 75 miles driven.
