Answer:
5.5
Step-by-step explanation:
The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.
Recall the slope-intercept equation, 
, where m = slope of the line, b = y-intercept.
To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):
.
Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):
Therefore, b = y-intercept = 5.5.
To generate the equation of the line, plug in the values of m and b, we would have:
y = ¾x + 5.5
The y-intercept of the line of the graph is 5.5.
Answer:
100 in^2
Step-by-step explanation:
Solve Area first:
5x8
= 40
Multiply by 2.5 (Enlarge)
40 x 2.5
= 100
The average of those five amounts is 183,636.7
AVeraging is adding all of the numbers together with the dividing by a number of numbers you have.
Answer:
11
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = x³ - 4
h(x) = x² + 2
h(-2) is x = -2
g(-1) is x = -1
<u>Step 2: Find h(-2) - g(-1)</u>
- Substitute: ((-2)² + 2) - ((-1)³ - 4)
- Exponents: (4 + 2) - (-1 - 4)
- Add/Subtract: 6 - (-5)
- Subtract: 11
Answer:
Each friend gets 
of the popcorns.
Step-by-step explanation:
Nathalie's brother takes 1/5 of the popcorn for himself.
so there is ( 1 - 1/5)
= 4/5 of the popcorns left in the bowl
including Nathalie and her 3 friends, there are (3 + 1) = 4 persons.
So, each friend gets
=
of the popcorns
