9514 1404 393
Answer:
-3 1/2
Step-by-step explanation:
Put the argument where the variable is and do the arithmetic.
f(-1/4) = 2(-1/4) -3 = -1/2 -3
f(-1/4) = -(3 1/2)
Answer:
The largest integer value that makes the inequality true is 9.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
1x - 8 < 2x + 1
<u>Step 2: Solve for </u><u><em>x</em></u>
- Simplify: x - 8 < 2x + 1
- [Subtraction Property of Equality] Subtract <em>x</em> on both sides: -8 < x + 1
- [Subtraction Property of Equality] Subtract 1 on both sides: -8 < x
- Rewrite: x > -8
∴ we see that any number <em>x greater than -8</em> would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.
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Topic: Algebra I
Answer:
30 ft²
Step-by-step explanation:
The formula to find the area of a rectangle is:
Length x Width
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Answer:
we know that, Volume of cube=a³
Let volume of 1st cube be 2x with side a and other be x with side A (according to given ratio)
Step-by-step explanation:
ATQ: 2x=a³ and, x=A³
a=³√2x and, A=x
we know that, surface area of cube is 6a²
Thus, surface area of 1st cube = 6(³√2x)²
= 6³√4x²
Surface area of 2nd cube=6(x)²=6x²
Ratio of S.A=(6³√4x²)÷(6x²)
Ratio of S.A=³√4:1
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Answer:
Step-by-step explanation:
(a - b)² = a² + 2ab + b²
Area of square frame =side²
= (2b - 1)²
= (2b)² - 2*2b * 1 + 1²
= 4b² - 4b + 1
