Answer:
x = -4037/127
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
14x + 18 + x = -112(x + 36) + 13
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -112: 14x + 18 + x = -112x - 4032 + 13
- Combine like terms: 15x + 18 = -112x - 4019
- Add 112x on both sides; 127x + 18 = -4019
- Isolate <em>x</em> term: 127x = -4037
- Isolate <em>x</em>: x = -4037/127
Given:
width of bookshelf no greater than 6 1/2 feet
purchased bookshelf that is 77 inches wide
We need to find the equivalent value in feet of the purchased bookshelf.
1 foot is equal to 12 inches
77 inches * 1 foot/12 inches = 77 ft/12 = 6 5/6 ft
Or we can convert the feet into inches:
6 1/2 feet convert to improper fraction.
((6*2)+1)/2 = 13/2 feet
13/2 ft * 12 inches/1ft = (13 * 12)/2 = 156/2 = 78 inches
Compare the maximum width of 78 inches to the actual width of 77 inches.
The purchased bookshelf can fit between two windows.
Using translation concepts, the equation for function g(x) given in the graph is:
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent function for this problem is given as follows:
From the graph, function g(x) was shifted 2 units left, hence x -> x + 2 and the definition is:
More can be learned about translation concepts at brainly.com/question/28098112
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Answer:
...
Step-by-step explanation:
slope= -4/3
y-intercept= -4
y=mx+b
y= -4/3x-4
Answer:
9 because 27 divided by 3 is 9
