<u><em>Answer:</em></u>
D. f⁻¹(x) = 2x + 10
<u><em>Explanation:</em></u>
<u>The given is:</u>
<u>To find the inverse, follow the below procedures:</u>
<u>1- Convert f(x) to y. </u>
<u>This will give:</u>
<u>2- Swap the x and y variables.</u>
<u>This will give:</u>
<u>3- Solve for y.</u>
<u>This will give:</u>
<u>4- Replace the y in the above step with f⁻¹(x).</u>
<u>This will give us:</u>
f⁻¹(x) = 2x + 10
Hope this helps :)
If you would like to know how many hours did Eric practice the piano this week, you can calculate this using the following steps:
the piano: 3/4 of 8 hours = 3/4 * 8 hours = 6 hours
The correct result would be 6 hours.
Answer:
x =
Step-by-step explanation:
Given
+ = 1
Multiply through by ab to clear the fractions
bx + ax = ab ← factor out x from each term on the left side
x(b + a) = ab ← divide both sides by (b + a)
x =
Adding Integers
If the numbers that you are adding have the same sign, then add the numbers and keep the sign.
Example:
-5 + (-6) = -11
Adding Numbers with Different Signs
If the numbers that you are adding have different (opposite) signs, then SUBTRACT the numbers and take the sign of the number with the largest absolute value.
Examples:
-6 + 5= -1
12 + (-4) = 8
Subtracting Integers
When subtracting integers, I use one main rule and that is to rewrite the subtracting problem as an addition problem. Then use the addition rules.
When you subtract, you are really adding the opposite, so I use theKeep-Change-Change rule.
The Keep-Change-Change rule means:
Keep the first number the same.
Change the minus sign to a plus sign.
Change the sign of the second number to its opposite.
Example:
12 - (-5) =
12 + 5 = 17
Multiplying and Dividing Integers
The great thing about multiplying and dividing integers is that there is two rules and they apply to both multiplication and division!
Again, you must analyze the signs of the numbers that you are multiplying or dividing.
The rules are:
If the signs are the same, then the answer is positive.
If the signs are different, then then answer is negative.
By graphing both equations, we see that the solutions of the system of equations are (1.05, 4.05) and (-4.97, - 1.97)
<h3>
How to solve the system of equations?</h3>
Here we have the system of equations:
y = x + 3
y = 13*(x + 5)*(x - 1).
To solve this system graphically, we need to graph both equations and see where the curves intercept.
The graph of the two equations can be seen below.
There are two solutions, one is (1.05, 4.05) and the other is (-4.97, - 1.97)
If you want to learn more about systems of equations:
brainly.com/question/13729904
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