The map scale is 6 in : 36 mi
simplify it, divide 6 from both sides
6/6 = 1
36/6 = 6
1 in : 6 mi
To find the amount of inches in 52 miles, divide 52 with 6
52/6 = 8.67 (rounded)
8.67 in should be your answer
hope this helps
Answer:
3) 4x² -1
Step-by-step explanation:
A quadratic equation is a 2nd-degree polynomial equation.
1) an exponential equation (the variable is in the exponent)
2) a cubic equation (degree = 3)
3) a quadratic equation
4) a linear equation (degree = 1)
Step 1:Draw lines to represent the first set of options in the question (in our case, 3 factories). Label them (our question list A B and C so that is what we’ll use here).
Step 2: Convert the percentages to decimals, and place those on the appropriate branch in the diagram. For our example, 50% = 0.5, and 25% = 0.25.
Step 3: Draw the next set of branches. In our case, we were told that 70% of factory A’s output was passenger. Converting to decimals, we have 0.7 P (“P” is just my own shorthand here for “Passenger”) and 0.3 NP (“NP” = “Not Passenger”).
Step 4:Repeat step 3 for as many branches as you are given.
Step 5: Multiply the probabilities of the first branch that produces the desired result together. In our case, we want to know about the production of passenger places, so we choose the first branch that leads to P.
Step 6: Multiply the remaining branches that produce the desired result. In our example there are two more branches that can lead to P.
Step 6: Add up all of the probabilities you calculated in steps 5 and 6. In our example, we had:
.35 + .0625 + .0625 = .475
That’s it!
Answer:
The answer to this is: y = (x - 6)² - 28
Step-by-step explanation:
The first step is to make sure the coefficient in front of x² is 1. If it isn't, just divide the whole equation by the coefficient. In this case, you don't need to do any division because you just have x²
Group the first two terms involving x² and x:
(x² - 12x) + 8
Now complete the square as follows:
a. Take the coefficient in front of x --> -12
b. Halve it --> -6
c. Square it --> (-6)² = 36
d. Add this and subtract it
(x² - 12x + 36 - 36) + 8
Take the negative number outside the parentheses:
(x² - 12x + 36) - 36 + 8
(x² - 12x + 36) - 28
The part in parentheses is a perfect square so rewrite it as such. If you need help refer back to step b.
(x - 6)(x - 6) - 28
(x - 6)² - 28
P.S. Vertex form is:
(x - h)² + k
In that form, the vertex is (h, k). In your case, the vertex of the parabola would be (6, -28).
Answer:
y = (x - 6)² - 28
