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2 years ago

Find the average rate of change of f(x) = 1x + 6 on [4,9). Round your answer to the nearest hundredth.

Mathematics

1 answer:

olga2289 [7]2 years ago

6 0

Answer:

The average rate of change of f(x) = x + 6 on [4,9) is 1.

Step-by-step explanation:

Given a function y, the average rate of change S of $y=f(x)$ in an interval $(x_{s}, x_{f})$ will be given by the following equation:

$S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}$

In this problem, we have that:

$f(x) = x + 6$

Interval [4,9]

Continuous function(no denominator or even root), this is why i can consider 9 a part of the interval for the calculation. So

$x_{s} = 4, x_{f} = 9, f(x_{s}) = f(4) = 10, f(x_{f}}) = f(9) = 15$ .

$S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}} = \frac{15 - 10}{9 - 4} = 1$

The average rate of change of f(x) = x + 6 on [4,9) is 1.

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The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many more girls than boys are there?

Mandarinka [93]

Answer:

There are 8 more girls

Step-by-step explanation:

If you divide 32 by 8 (since the ratio is 3:5 which is 8 parts (3+5)). You get 4.

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2 years ago

A parallelogram has an area of 60 square inches. If the base of the parallelogram is 12 inches, what is the height of the parall

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2 years ago

Question 6 (1 point) (01.03 LC) What is the value of 5 to the power of 4 over 5 to the power of 6? (1 point) a 1 over 25 b 1 ove

Vlad [161]

Answer:

a 1 over 25

Step-by-step explanation:

Problem Statement:

What is the value of $\frac{5^{4} }{5 ^{6} }$ ?

To solve this problem, we must familiarize ourselves with the concept of exponents and rules that guides them.

Exponents are used by scientists to report higher orders of a number.

Such large and often recurring expression is usually made up of a base and an exponent value.

The exponent value is the power of the base; for example, 4³ has 4 as its base and 3 as the exponent.

Several rules guides solving an exponent, to this problem, the most applicable one is :

$\frac{x^{a} }{x^{b} }$ = $x^{(a-b)}$

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= $5^{-2}$

= $\frac{1}{25}$

Therefore the solution is 1 over 25

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2 years ago

19. Determine the midpoint of the line with end points (0,0) and (2,2).

Anika [276]

Answer:

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2. 2

Step-by-step explanation:

M =(0+2. , 0+2)

2. 2

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2 years ago

After mixing two types of candies, the price became $3.40 per lb. The quantity of the first type of candy was 5/12 of the quanti

drek231 [11]

Answer:

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Step-by-step explanation:

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The "total price" equation will be: 4.6x + 2.4xp = 3.4(x+2.4x).

Solving for p, we get p = $2.90.

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2 years ago