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IRISSAK [1]
2 years ago
11

3(a - 4) ≤ 33 Help me solve

Mathematics
1 answer:
yaroslaw [1]2 years ago
3 0

Answer:

a ≤ 15

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

3(a - 4) ≤ 33

<u>Step 2: Solve for </u><em><u>a</u></em>

  1. Divide 3 on both sides:                    a - 4 ≤ 11
  2. Add 4 on both sides:                        a ≤ 15

Here we see that any value <em>a </em>less than or equal to 15 would work as a solution to the inequality.

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Graph the quadratic variation if g(x) varies directly with x^2, and g(x) = 75 when x = 5.
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Answer:

Third graph from the top

Step-by-step explanation:

Formula for g(x) is  g(x) = 3 · x∧2

When we replace x=5 in the formula we get:

g(5) = 3 · 5∧2 = 3 · 25 = 75

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Anna007 [38]

h(-3) - h( - 2) = -  \frac{5}{  8} \\ \\

Step-by-step explanation:

\boxed{h(x) =  \frac{2 {x}^{2}  - x + 1}{3x - 2}}

h(2) =  \frac{2 {(2)}^{2}  - (2) + 1}{3(2) - 2}

h(2) =  \frac{2 {(4)}  - 2 + 1}{6 - 2}

h(2) =  \frac{ 8  - 1}{4}

h(2) =  \frac{7}{4}

h( - 3) =  \frac{2 {( - 3)}^{2}  - ( - 3) + 1}{3( - 3) - 2} \\ h( - 3) =  \frac{2 (9) + 3 + 1}{ - 9- 2} \\ h( - 3) =  \frac{18 + 4}{ - 11} \\ h( - 3) =    \frac{22}{  - 11} \\ h(-3) = -2

h( - 2) =  \frac{2 {( - 2)}^{2}  - ( - 2) + 1}{3( - 2) - 2} \\ h( - 2) =  \frac{2 (4)  +  2+ 1}{- 6 - 2} \\ h( - 2) =  \frac{8 +  3}{- 8} \\ h( - 2) =  \frac{11}{- 8}

h(3) - h( - 2) = -2 - \frac{11}{- 8} \\ h(3) - h( - 2) =-2 + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-2}{1}+ \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16}{8} + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16+11}{8} \\ h(3) - h( - 2) = \frac{-5}{8} \\ - \frac{5}{ 8}

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Answer:

One of the possible dimensions of the full trailer could be 5 by 12 by 3.

Step-by-step explanation:

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3 years ago
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