Step-by-step explanation:
s1 = 3
s2 = 3×2 = 6
s3 = 6×2 = 12
s4 = 12×2 = 24
s5 = 24×2 = 48
sn = sn-1 × 2 = s1 × 2^(n-1)
s17 = 3 × 2¹⁶ = 3 × 65,536 = 196,608
Answer:
g < -7
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:
*Note:
When dividing or multiplying both sides of the inequality by a negative, <em>flip</em> the inequality sign.
<u>Step 1: Define</u>
<em>Identify.</em>
4 - 5g > 39
<u>Step 2: Solve for </u><u><em>g</em></u>
- [Subtraction Property of Equality] Subtract 4 on both sides: -5g > 35
- [Division Property of Equality] Divide -5 on both sides: g < -7
∴ any number <em>g</em> less than -7 would work as a solution to the inequality.
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Topic: Algebra I
Unit: Inequalities
Step-by-step explanation:
There are infinitely many such integers.
x - y = -6 <em>add y to both sides</em>
x = -6 + y → x = y - 6
1. Choose any y value.
2. Substitute for the equation.
3. Calculate the value of x.
Examples:
for y = 0 → x = 0 - 6 = -6
check: -6 - 0 = -6
for y = 10 → x = 10 - 6 = 4
check: 4 - 10 = -6
for y = -9 → x = -9 - 6 = -15
check: -15 - (-9) = -15 + 9 = -6
