9514 1404 393
Answer:
maximum difference is 38 at x = -3
Step-by-step explanation:
This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.
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Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.
h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2
Then the derivative is ...
h'(x) = 3x² +4x -15 = (x +3)(3x -5)
This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.
The maximum difference between f(x) and g(x) is 38 at x = -3.
Answer:
see explanation
Step-by-step explanation:
Before simplifying the ratios we require them to have the same units.
(1)
$4.50 = 450c, thus
90c : $4.50
= 90 : 450 ← divide both parts by 10
= 9 : 45 ← divide both parts by 9
= 1 : 5
(2)
1.2 m = 1.2 × 100 = 120 cm, thus
80 cm : 1.2 m
= 80 : 120 ← divide both parts by 10
= 8 : 12 ← divide both parts by 4
= 2 : 3
The answer is 
.
Let's solve your equation step-by-step.
2b+3b=3
Step 1: Simplify both sides of the equation.
2b+3b=3
(2b+3b)=3(Combine Like Terms)
5b=3
5b=3
Step 2: Divide both sides by 5.
5b/5=3/5
So, the answer is .
Answer:
62
Step-by-step explanation:
96 divided by 2 = 48
48 - 14 = 34
48 + 14 = 62
34 + 62 = 96 (total cars washed)
You're welcome
Answer:
0.03 is the probability that for the sample mean IQ score is greater than 103.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100
Standard Deviation, σ = 16
Sample size, n = 100
We are given that the distribution of IQ score is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
P( mean IQ score is greater than 103)
P(x > 103)
Calculation the value from standard normal z table, we have,
0.03 is the probability that for the sample mean IQ score is greater than 103.
