Answer:
#1
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Answer:
B
Step-by-step explanation:
Since p and v vary inversely then the equation relating them is
p =
← k is the constant of variation
to find k use the condition p = 8 when v = 40
k = pv = 8 × 40 = 320
⇒ p(v) =
→ B
Answer:

Step-by-step explanation:
First, we can find the slope using the slope equation and two of the points.
Slope equation:

I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.

Simplify:

Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is

Answer:
f(5) = 13
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Function notation and substitution
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 12
x = 5
<u>Step 2: Evaluate</u>
- Substitute: f(5) = 5² - 12
- Exponents: f(5) = 25 - 12
- Subtract: f(5) = 13
Answer:

Step-by-step explanation:
Use the slope-intercept formula:
where m is slope and b the y-intercept.

Use the slope formula for when you have two points:

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

Simplify parentheses (negative+negative=positive)

Simplify

2 is the slope:

Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:
(4,7)


The y-intercept is -1. Insert into the equation. Change the + symbol to -:

Done.