Answer:
(3, -6)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 4x - 18
y = -5x + 9
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em> [2nd Equation]: 4x - 18 = -5x + 9
- [Addition Property of Equality] Add 5x on both sides: 9x - 18 = 9
- [Addition Property of Equality] Add 18 on both sides: 9x = 27
- [Division Property of Equality] Divide 9 on both sides: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [1st Equation]: y = 4(3) - 18
- Multiply: y = 12 - 18
- Subtract: y = -6
Answer:
f(2) = -5
Step-by-step explanation:
A point (x, y) lying on a function represents output value (y-value) of the function for any input value (x-value).
In other words y = f(x) for any input value of 'x'.
From the graph attached,
For the input value x = 2,
Output value of the function is y = -5
Therefore, f(2) = -5 will be the answer.
500g = $0.95
100g = $0.95 ÷ 5 = $0.19
800g = $0.19 x 8 = $1.52
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Answer: 800g will cost $1.52
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Answer:
94.5yd³
Step-by-step explanation:
volume = length × width × height
length = 7 yd , width = 4.5 yd and height = 3 yd
so volume = 7 × 4.5 × 3 = 94.5yd³
16/8= 2
2 is a whole number
