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3 years ago

Explain why it is necessary to rename 4 1/4 if you subtract 3/4 from it

1 answer:

5 0

To subtract a number from another number, they must be the same type. 4 1/4 is a mixed number; 3/4 is a fraction. thus, 4 1/4 must be converted into fractional form go subract a fraction (3/4) from it.

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What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

$f(x)=-x^2+3x+6$

Over the interval $-3$

Is:

$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Therefore, the average rate of change of this function over that interval is 3.

3 0

3 years ago

Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. tan 26° = ___

barxatty [35]

Answer:

0.49

Explanation:

Given the expression:

tan 26°

Evaluating using calculator

tan 26° = 0.4877

Hence the decimal rounded to the nearest hundredth is 0.49

4 0

1 year ago

Read 2 more answers

What is/are the solution(s) of the system of equations? Why you say that is the solution? Write your answer in complete sentence

Alexus [3.1K]

Answer: The answer to a system of equations is the point(s) of intersection of the equation involved.

When you have more than one equation with more than one variable, you have a system of equation. The solution(s) is the set of values for each variable that satisfy the equations. This means that the inputting values make the equations true.

6 0

3 years ago

in her first 4 games jill averaged 4 points per game. in her next 6 games jill averaged 9 points per game. what was her average

bogdanovich [222]

Number of points Jill scored in the first 4 games = 4 * 4 = 16
number of points Jill scored in the first 4 games = 6 * 9 = 54

total points Jill scored in 10 games 16 + 54 = 70

the average number of points after 10 games = 70 / 10 = 7 points

8 0

3 years ago

What P:X equals 4 let q:y equals -2 which represents if x = 4 then y = -2

Art [367]

Answer:

p - > q is a = 4 then y = 3 equals

6 0

3 years ago