9. Let p = Pico
3/4p = 18
10. Let h = height with pedestal and foundation
151 + h = 305
11. Let m = Meredith
19 = 3 + 2m
12. Let p = number of pizzas, $5 off is - 5 from regular price
3p - 5 = 21.75
13. Option C.
14. Option A.
15. Let w = last week's miles
w =
(12) + 3
The word "half" tells you to use 1/2 in the equation. The phrase "three more than" tells you to use + 3. We multiply 1/2 by 12 (or divide 12 by 2; it's the same thing) because we are taking half of the miles Carmen ran "this week" as stated in the problem.
Answer:
The polynomial is 10x^2 + 10x -2
Step-by-step explanation:
To get the polynomial which represents the perimeter, what we need to do is to add up all
these values. We use the formula for finding the perimeter of a triangle and that involves adding up all the three sides. That would be;
2x^2 + 3x + 5x^2 -1 + 3x^2 + 7x -1
10x^2 + 3x -1 + 7x -1
10x^2 + 10x -2
The angle is 90 degree...
To find the equation, for the x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16) we have to find the nature of the curve.
The correct option is f(x) = –2(x – 2)(x – 4).
Given:
The x-intercepts at (2, 0) and (4, 0).
The y-intercept of (0, –16).
The nature of the graph is quadratic curve. Write the general equation for x-intercept.
Where is 
number
Substitute 0 for 
.
We have y-intercept of (0, –16).
The equation would be,
Thus, the correct option is f(x) = –2(x – 2)(x – 4).
Learn more about equitation here:
brainly.com/question/3337307
The first thing to do is organize all the given data so that you won't be confused which is which. Let's denote all the given that belongs to the marathon runner with a subscript of 1 and that of the trackman with a subscript of 2. The first equation we could do is find the sum of time:
t₁ + t₂ = 3 hours and 1 minute
For consistency, let's convert minute to hours.
1 minute (1 hour/60 minutes) = 1/60
Total time = 3+1/60 = 3.0167 hours
t₁ + t₂ = 3.0167 hours ----> equation 1
The other equation is the total distance. When you multiply speed with time, the answer would be distance. Thus.
9t₁ + 12t₂ = 28 miles ----> equation 2
Since there are two unknowns and 2 equations, the system is solvable:
t₁ = 3.0157 - t₂
9(3.0167 - t₂) + 12t₂ = 28
t₂ = 0.2832 hour, and
t₁ = 3.0157 - 0.2832 = 2.733 hours
Therefore, the distance run by the marathon runner is
9*2.733 = 24.597 or approximately 24 3/5.
