Answer:
x = ±1
Step-by-step explanation:
Step 1: Define variables
f(x) = x² + 1
f(x) = 2
Step 2: Substitute
2 = x² + 1
Step 3: Solve for <em>x</em>
0 = x² - 1
0 = (x - 1)(x + 1)
x - 1 = 0
x = 1
x + 1 = 0
x = -1
∴ x = ±1
It’s a 90 degree angle. You can tell be the little square box. :)
An algebraic expression to represent the value of this car after M months is y=Mx+C.
We have given that the
The straight-line depreciation equation for a car is,
y = -2,680x + 26,800.
therefore after 4moths
y = -2,680(4) + 26,800.
y = -10720 + 26,800.
y=16080
<h3>
What is the slope?</h3>
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as rise over run (change in y divided by change in x)
b. For find after the 75 months replace x by 75 and slolve the given inequality.
Suppose that M represents the length of time in months when
the car still has value.
An algebraic expression to represent the value of this car after M months.
y=Mx+C.
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Answer:
x = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
5(x + 4) = -2(-4 - x) + 3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 5x + 20 = 8 + 2x + 3
- Combine like terms: 5x + 20 = 2x + 11
- Subtract 2x on both sides: 3x + 20 = 11
- Subtract 20 on both sides: 3x = -9
- Divide 3 on both sides: x = -3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 5(-3 + 4) = -2(-4 - -3) + 3
- Simplify: 5(-3 + 4) = -2(-4 + 3) + 3
- Add: 5(1) = -2(-1) + 3
- Multiply: 5 = 2 + 3
- Add: 5 = 5
Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.
And we have our final answer!
You would need 438.45 inches of wrapping paper to cover the triangular prism completely. But since you can’t really cut the paper to that exact decimal you would round to 439 inches. Don’t forget to cube your answer since it’s area. Final answer should look like 429in.2
