Answer:
see explanation
Step-by-step explanation:
(a)
To change a mixed number to an improper fraction
Multiply the whole number by the denominator of the fraction and add the numerator. This value is the numerator of the improper fraction while the denominator remains unchanged, that is
(2 × 13) + 12 = 26 + 12 = 38 ← numerator
2 
= 
(b)
To change an improper fraction to a mixed number
divide the numerator by the denominator, noting the remainder, which forms the numerator of the fraction in the mixed number.
= 2 remainder 9, hence
= 2 
Answer:
Step-by-step explanation:
8/16=8:16
2/4=2:4
Answer:
13 cm
Step-by-step explanation:
78/6=13
Answer:
(-6,1) (2,7)
Step-by-step explanation:
y =x+5
y = x^2 +5x-7
Set the two equations equal since y=y
x+5 = x^2 +5x -7
Subtract x from each side
x-x+5 = x^2 +5x-x -7
5 = x^2 +4x -7
Subtract 5 from each side
5-5 = x^2 +4x -7-5
0 = x^2 +4x-12
Now we can factor the right side
What 2 numbers multiply to -12 and add to +4
6*-2 =-12
6-2 =4
0 = (x+6) (x-2)
Using the zero product property
x+6=0 x-2=0
x=-6 x=2
We need to find y for each value of x
y = x+5 y = x+5
y = -6+5 y = 2+5
y =1 y = 7
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point (1, -5)
Point (7, -1)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute [SF]:
- Add/Subtract:
- Simplify:
