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3 years ago

Determine which function has the greatest rate of change as x approaches infinity.

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

3 0

Answer: h(x) = 3*x^2 - 7*x + 8

Step-by-step explanation:

The rate of change of a function is equal to the derivate:

remember that a derivate of the form:

k(x) = a*x^n is k'(x) = n*a*x^(n-1)

Then we have:

f(x) = 2*x - 10

f'(x) = 1*2* = 2

g(x) = 16*x - 4

g'(x) = 1*16 = 16

h(x) = 3*x^2 - 7*x + 8

h'(x) = 2*3*x - 1*7 = 6*x - 7

So the only that increases as x increases is h(x), this means that the greates rate of change as x approaches inffinity is the rate of change of h(x)

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4 years ago

Dave also starts a new job, but his hourly pay starts at $7.25. Suppose that he gets a 40¢-per-hour raise each year.

pshichka [43]

Answer:

$8.5

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Dave also starts a new job, but his hourly pay starts at $7.25. Suppose that he gets a 40¢-per-hour raise each year. What will Vicky’s hourly pay be in 3 years

My answer:

Given:

Rate per hour: $7.25.
Hour raise each year: 40¢-

=> the percentage of rate increasing:

(40¢ / $7.25)*100%

= (40¢ / 7.25*100¢)*100%

= 5.5%

What will Vicky’s hourly pay be in 3 years

This is a compound growth problem. The formula is:

$F=P(1+r)^t$

<=> F = $=7.25(1+0.055)^3$

<=> F = $8.5

So the rate after three years is $8.5

Hope it will find you well.

4 0

3 years ago

Test the following claim. Identify the null hypothesis, alternative hypothesis, test statistic, critical value(s), conclusio

Vladimir79 [104]

Answer:

A Null hypothesis (H0): mu equals 200 sec

Alternate hypothesis (H1): mu greater than 200 sec

Test statistic (z) is 5.31

Critical value is 1.645

Conclusion: reject the null hypothesis

Final conclusion that addresses the original claim: the result obtained suggest that the advice given in the manual is not valid

Step-by-step explanation:

Null hypothesis is a statement from the population parameter subject to testing

Alternate hypothesis is also a statement from the population parameter that negates the null hypothesis

Test statistic (z) = (sample mean - population mean) ÷ sd/√n

sample mean = 245 sec, popi mean = 200 sec, sd = 53.5 sec, n = 40

z = (245 - 200) ÷ 53.5/√40 = 45 ÷ 8.47 = 5.31

This is a one tailed test.The critical value using a significance level of 0.05 is 1.645

Conclusion: since the test statistic (5.31) is greater than the critical value (1.645), reject the null hypothesis

Final conclusion: There is sufficient evidence to support the claim that the sample is from a population of songs with a mean greater than 200 sec

This result suggest that the advice offered in the manual is not valid

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3 years ago

by the definition of suplementary angles Angle 1+angle 2=______and angle 2+angle 3=_______ than angle 1+ angle 2+ angle 3 by the

SVETLANKA909090 [29]

Answer:

By the definition of supplementary angles, angle 1 + angle 2 = 180° and angle 2 + angle 3 = 180°. Then angle 1 + angle 2 = angle 2 + angle 3 = 180°. Subtract angle 2 from each side. You get angle 1 = angle 3, or angle 1 ≅ angle 3.

Step-by-step explanation:

The Complete/Correct Question Reads:

By the definition of supplementary angles, angle 1 + angle 2 = _____ and angle 2 + angle 3 = ____ . Then angle 1 + angle 2 = angle 2 + angle 3 ______. Subtract angle 2 from each side. You get angle 1 = ______, or angle 1 ≅ ______.

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By definition we know that if the Sum of Two Angles is Equal to 180° then the angles are Supplementary.

Now looking at the schematic we can see that our Supplementary angle pairs are: