Answer:
f(x + 3) = x² + 3x - 2
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Expand by FOIL (First Outside Inside Last)
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 3x - 2
f(x + 3) is x = x + 3
<u>Step 2: Find</u>
- Substitute: f(x + 3) = (x + 3)² - 3(x + 3) - 2
- Expand by FOILing: f(x + 3) = x² + 6x + 9 - 3(x + 3) - 2
- Distribute 3: f(x + 3) = x² + 6x + 9 - 3x - 9 - 2
- Combine like terms: f(x + 3) = x² + 3x - 2
He must read 13 pages or more, because 13*2=26. 26+4=30. This is your answer, and I hope it helps.
or x= twelve-fifths
Option A is correct.
Step-by-step explanation:
We need to find the solution of:

Solving:
Taking square on both sides:

Verifying the solution by putting x = 12/5 in the given equation, we get true result.
So,
or x= twelve-fifths
Option A is correct.
Keywords: Solving Square root Equations
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Answer:

Step-by-step explanation:
Let
l------> the length of the base of the prism
w------> the width of the base of the prism
h------> the height of the prism
we know that
The volume of the prism is equal to

Solve for w
That means-------> isolate the variable w
so
Divide both sides by (lh)

Simplify

The value of x from the diagram is 29 degrees.
<h3>SOH CAH TOA identity</h3>
From the given figure, we have the following parameters:
- Opposite = 12
- Hypotenuse = 25
<h3>According to the theorem:</h3>
Sin x = opposite/hypotenuse
Sin x = 12/25
Sin x = 0.48
x = arcsin(0.48)
x = 28.685
x = 29 degrees
Hence the value of x from the diagram is 29 degrees.
Learn more on SOH CAH TOA here: brainly.com/question/20734777