Answer:
-12 = 3x - 4y
Step-by-step explanation:
Two points on the graph are (-4, 0) and (0, 3). Moving from the first point to the second, we see x (the 'run') increase by 4 and y (the 'rise') increase by 3. Thus, the slope of this line is m = rise / run = 3/4.
Using the point slope form, we get:
y - 3 = (3/4)(x - 0), or
4y - 12 = 3x, or
-12 = 3x - 4y (which is in Standard Form).
To represent this scenario, you will look at what is happening mathematically and represent it.
Beginning with 5, this will double each day, so 5 x 2 is the deposit.
Then, this amount will double, so (5 x 2) x 2 is the deposit.
Next this will double, and so on.
What is happening is that it is always doubling the previous day's deposit, so x 2 x 2 x 2, etc... you will use exponents to show the number of days that it doubled.
y = 5 x 2^x
Answer:
12.5
Step-by-step explanation:
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Average Rate of Change:

Step-by-step explanation:
<u>Step 1: Define</u>
Interval -1 ≤ x ≤ 3
a = -1, b = 3
f(a) = f(-1) = 4
f(b) = f(3) = -4
<u>Step 2: Find Average</u>
- Substitute in variables [ARC]:

- Substitute:

- [Fraction] Subtract/Add:

- [Fraction] Divide:

If one eighth of the pizza falls, that leaves seven eights of the pizza to be shared:

If the 7/8 pizza is shared between three people, then you have to divide 7/8 by 3. We know that dividing a fraction by 3 is the same as multiplying by 1/3:

Therefore, each person gets 7/24 of the whole pizza.