All categories

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)

You might be interested in

(60 points to best answer) (asap please and thank you)

inna [77]

Answer: $83.\overline{3}\text{ feet}$

Step-by-step explanation:

Since, In the given diagram,

The sides of the triangles ABC and EDC are,

BC = 62 feet, DC = 93 feet and DE = 125 feet(given)

And, angles B and D are right angles,

⇒ $\angle ABC\cong \angle EDC$

$\text{Also, } \angle ACB\cong \angle ECD$ ( Vertically opposite angles )

By AA similarity postulate,

$\triangle ABC\sim \triangle EDC$

The sides of similar triangles are in same proportion ,

⇒ $\frac{AB}{ED}=\frac{BC}{DC}$

⇒ $AB \times DC = BC \times ED$

⇒ $AB = \frac{BC.ED}{DC}$

By substituting the values,

We get,

⇒ $AB = \frac{62\times 125}{93}$

⇒ $AB = \frac{7750}{93}=83.\overline{3}\text{ feet}$

3 0

4 years ago

Please help!!!!!!!!!

allsm [11]

Answer:

$42.75

Step-by-step explanation:

18.80+23.95=$42.75

6 0

3 years ago

Read 2 more answers

What else would need to be congruent to show that ABC = XYX by ASA

liraira [26]

For it to be ASA or angle side angle C must be the answer angle B congruent to angle Y

4 0

3 years ago

The probability that a lab specimen contains high levels of contamination is 0.12. A group of 4 independent samples are checked.

sergiy2304 [10]

Answer:

0.5996 is the probability that none contain high levels of contamination.

Step-by-step explanation:

We are given the following information:

We treat lab specimen containing high levels of contamination as a success.

P( lab specimen containing high levels of contamination) = 0.12

Then the number of lab specimens follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 4

We have to find the probability that none of the lab specimen consist of high level of contamination.

We have to evaluate:

$P(x = 0)\\= \binom{4}{0}(0.12)^0(1-0.12)^{(4-0)}\\= 0.5996$

0.5996 is the probability that none contain high levels of contamination.

5 0

4 years ago

The set of all even natural numbers less than 14

lesya [120]

The set of all even numbers less that fourteen would include 2,4,6,8,10,and 12.

3 0

4 years ago

Read 2 more answers