Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Midpoint Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point (-6, 5)
Point (5, -7)
<u>Step 2: Find Midpoint</u>
Simply plug in your coordinates into the midpoint formula to find midpoint
- Substitute [MF]:
- Add/Subtract:
- Divide:
Let x = liters 20% solution to be added
then
.12(12) + .20x = .14(12+x)
.12(12) + .20x = .14(12+x)
1.44 + .20x = 1.68 + .14x
.20x = .24 + .14x
.06x = .24
x = 4 liters
Hope this helped!!
The common ratio of both the formulas is 3 and 2. The first formula is explicit and the second is the recursive formula.
<h3>What is the recursive rule?</h3>
A rule is defined such that its definition includes itself.
1.
The given sequence is
-2, -6, -18, -54
Common ratio ;
r = -6 / -2 = 3
This given formula is the explicit formula.
2.
The given sequence is
4, 8, 16, 32
Common ratio ;
r = 8 / 4 = 2
This given formula is the recursive formula.
Learn more about the recursive rule and explicit rules here:
brainly.com/question/12620593
#SPJ1
Answer:
g = 6
Step-by-step explanation:
<em>To find the slope you do:</em>
m = change in y ÷ change in x or (y2 - y1) ÷ (x2 - x1)
- x1 = 4, y1 = -7
- x2 = g, y2 = -3
- m (the slope) = 2
<em>Sub in the values:</em>
2 = (-3 - -7) ÷ (g - 4) - we can simplify this
2 = (4) ÷ (g - 4)
4 divided by what gives us 2? 2. This means that g - 4 = 2, g = 2 + 4 which is 6:
g = 6
Hope this helps!
It can travel 125km with 5 liters
And 6 liters to travel 150 :)