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3 years ago

X For f(x)=0.01(2) , find the average rate of change from x=3 to x=8.

Mathematics

1 answer:

NikAS [45]3 years ago

3 0

Answer:

Option b. 0.496

Step-by-step explanation:

we know that

f(x)=0.01(2^{x})

The average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

where

a=3

b=8

f(a)=f(3)=0.01(2^{3})=0.08

f(b)=f(8)=0.01(2^{8})=2.56

Substitute

\frac{2.56-0.08}{8-3}

\frac{2.48}{5}

0.496

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PRECISION In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was

dimulka [17.4K]

Answer:

$46.272

Step-by-step explanation:

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2 years ago

If Rib-eye steaks are on sale for $8.52 per pound. Ms. Markum bought a 0.9-pound steak. How much did the steak cost?

Pepsi [2]

Answer: The steak costs $ 7.67.

Step-by-step explanation:

Given: Cost per pound of Rib-eye steaks = $8.52

Ms. Markum bought a 0.9-pound steak.

To find : cost of 0.9 pound steak =

Then cost of 0.9 pound steak = 0.9 x (Cost per pound of Rib-eye steaks )

= $ (0.9 x 8.52)

= $7.668 ≈ $ 7.67

Hence, the steak costs $ 7.67.

7 0

3 years ago

This is to confusing

erastova [34]

Answer:

Step-by-step explanation:

because there is 10 parts and if the 10 multipied by 10 (to find the percent) is 100 then the 4 is 40 (the unshaded part would be 60%)

Have a fantastic day!

7 0

3 years ago

Solve the equation in the complex number system. x^2-12x+40=0

mylen [45]

solving the equation $x^2-12x+40=0$ we get $x=6+2i\,\,and\,\,x=6-2i$

Step-by-step explanation:

Solve the equation:

$x^2-12x+40=0$

We can solve using quadratic Formula:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

a= 1, b = -12, c = 40

Putting values:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(40)}}{2(1)}\\x=\frac{12\pm\sqrt{144-160}}{2}\\x=\frac{12\pm\sqrt{-16}}{2}\\We\,\,know\,\,\sqrt{-1}=i\\ x=\frac{12\pm4i}{2}\\ x=\frac{12+4i}{2}\,\,and\,\, x=\frac{12-4i}{2}\\ x=\frac{4(3+i)}{2}\,\,and\,\, x=\frac{4(3-i)}{2}\\x=2(3+i)\,\,and\,\,x=2(3-i)\\x=6+2i\,\,and\,\,x=6-2i$

So, solving the equation $x^2-12x+40=0$ we get $x=6+2i\,\,and\,\,x=6-2i$

Keywords: Solving quadratic equation

Learn more about Solving quadratic equation at:

#learnwithBrainly

5 0

3 years ago

Question 2

frosja888 [35]

Answer:

(50,55,60,....)

Step-by-step explanation:

Given that a health insurance plan has a $50 enrollment fee and a copayment of $5 for each doctor visit.

The function f(x) = 5x + 50 gives the cost of x doctor visits

Here x is the no of visits.

No of visits is an independent variable while f(x) total cost is a dependent variable on x

slope = 5 which indicates for each visit extra, extra cost is 5 dollars

Enrollment fee = 50 = fixed cost

Hence domain would be

x =0,1,2,3.....

So range is

(50,55,60,....)

3 0

3 years ago