Answer:
The value of <em>x</em> is equal to 1, written as <em>x</em> = 1.
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
Functions
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 5x + 4
g(x) = 9
<u>Step 2: Solve for </u><u><em>x</em></u>
- Substitute in function value: 9 = 5x + 4
- [Subtraction Property of Equality] Subtract 4 on both sides: 5 = 5x
- [Division Property of Equality] Divide 5 on both sides: 1 = x
- Rewrite: x = 1
∴ when the function g(x) equals 9, the value of <em>x</em> that makes the function true would be <em>x</em> = 1.
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Topic: Algebra I
6, 12, 18, 24.
8, 16, 24.
24 is your answer. Hoped I helped!
Answer:
easy peasy,
the 'n' th term of any arithmetic sequence can be found with the following formula
=> a + ( n-1) d, [where 'a' if the first term of the sequence, 'n' the number of term we need to find, and 'd' being the common difference between each two consecutive term of the sequence)
all in this case would be,
a = 0
n = 100
d = +5
hence the 100th term would be,
=> 0 + (100 - 1) 5
=> 99 x 5
=> 495
Answer:
Step-by-step explanation:
A. The first inequality is graphed as a shaded area below the solid line with x-and y-intercepts of 7.5 and 5, respectively. The second inequality is graphed as a shaded area above the solid line with x- and y-intercepts of 3.
The solution set is the set of integer-valued grid points one or between the lines.
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B. The point (5, 1) is included in the solution area. Mathematically, it can be shown to satisfy the two inequalities:
2(5) +3(1) ≤ 15 ⇒ 13 ≤ 15 True
(5) +(1) ≥ 3 ⇒ 6 ≥ 3 True
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C. The point (5, 1) is in the solution set. It means Michael can purchase 5 sandwiches and 1 hot lunch within his budget constraints. That will provide 6 meals, which is more than the minimum of 3 that he wants to provide.
