Need help as soon as possible

Given the function h(x) = 4x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Ronch [10]

Answer with explanation:

The average rate of change in a function f(x) from x=a to x=b is given by :-

$k=\dfrac{f(b)-f(a)}{b-a}$

For Section A .

The average rate of change in a function h(x)=4x from x=0 to x=1 is given by :-

$k=\dfrac{h(1)-h(0)}{1-0}\\\\=\dfrac{4-0}{1}=4$

For section B .

The average rate of change in a function h(x)=4x from x=2 to x=3 is given by :-

$k=\dfrac{h(3)-h(2)}{3-2}\\\\=\dfrac{12-8}{1}=4$

The average rate of section A is same for section B because the function is a linear function, and the rate of change of a linear function is constant.

4 0

3 years ago

Jim is driving to Denver. Suppose that the distance to his destination (in miles) is a linear function of his total driving time

Anuta_ua [19.1K]

Jim has to travel 26.82 miles more to reach Denver.

What is the equation of a line?

Let the first point be = (x₁ , y₁)

Let the second point be = (x₂ , y₂)

m(slope) = (y₂ - y₁) / (x₂ - x₁)

Equation of line = (y - y₁) = m(x - x₁)

Let the no. of miles be plotted on X-axis

Let the driving time be plotted on Y-axis

First point = (61 , 41)

Second point = (42.3 , 63)

Slope of the linear function = (63 - 41)/(42.3 - 61) = -1.17

Equation of the line = (y - 41) = -1.17(x - 61)

Given time of driving = 81 min

Number of miles = (81 - 41) = -1.17(x - 61)

40/-1.17 = x - 61

-34.18 + 61 = x

x = 26.82

Hence, Jim has to travel 26.82 miles more to reach Denver.

Learn more about equation of line on:

brainly.com/question/18831322

#SPJ4

7 0

2 years ago

Please you can help me. Thanks.

nikdorinn [45]

Answer:

Using Math Papa Algebra Calculator I was able to simplify to:

-81x^5+1198x^3-896x=0

In further detail this equation can be factored and then solved for the multiple x-values given, which are: x=0 or x=−3.7416573867739413 or x=3.7416573867739413 or x= -8/9 or x=8/9

Step-by-step explanation:

I used a punnet square to solve for the simplified equation, from there I used Math Papa Algebra Calculator.

I would answer with the simplified answer, sorry I'd need more specifics to answer this question fully.

Once again the simplified is -81x^5+1198x^3-896x=0

3 0

3 years ago

13. Marissa buys a prepaid cell phone card for $25. The charge for a phone call is $0.13 per minute, or part of a minute. Write

valentina_108 [34]

Answer:

The correct option is;

Marissa can talk for at most 192 minutes

Step-by-step explanation:

The amount for which Marissa buys the prepaid cell phone card = $25

The charge for a phone call using the recharge card = $0.13 per minute

The greatest number of minutes Marissa can call is given by the the following inequality;

t < $25/($0.13/minute)

$25/($0.13/minute) = (192 + 4/13) minutes

Therefore;

t < (192 + 4/13) minutes

The cost of 192 minutes = 192 minutes × $0.13 per minute = $24.96

The amount of credit left on the $25 recharge = $25 - $24.96 = $0.04

The minimum charge for calls = $0.13

The amount remaining after 192 minutes $0.04 is less than the amount to make a call $0.13

Therefore;

t ≤ 192 minutes

Therefore, Marissa can talk for at most 192 minutes.

5 0

3 years ago

If f(g(x)) = 4(x^6 + 9)^2 and g(x)=x^6+9, find f(x). f(x) help (formulas)

labwork [276]

Answer:

The function is $f(x)=4(x)^2$

Step-by-step explanation:

Given : If $f(g(x))= 4(x^6 + 9)^2$ and $g(x)=x^6+9$

To find : The function f(x) ?

Solution :

$f(g(x))=(fog)(x)$ where the function g is inside of the function f.

We have given,

$f(g(x))= 4(x^6 + 9)^2$

The function $g(x)=x^6+9$

Substitute in equation,

$f(g(x))= 4(g(x))^2$

We know that g(x) is placed over x in the function,

$f(x)= 4(x)^2$

Therefore, The function is $f(x)=4(x)^2$

4 0

3 years ago