Answer:
1. B (40- 3n)
2.c (86)
Step-by-step explanation:
1. The shirts cost 3n. So you do 40- 3n(what the shirts cost) to find the amount of change he will recive.
2. Just plug the numbers in- 1.8(30) + 32=86.
Answer:
y = 18 and x = -2
Step-by-step explanation:
y = x^2+bx+c To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0). Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically Plugging in (2,0) :
y=x2+bx+c
0=(2)^2+b(2)+c
y=4+2b+c
-2b=4+c
b=-2+2c
Plugging in (0,−14) :
y=x2+bx+c
−14=(0)2+b(0)+c
−16=0+b+c
b=16−c
Now that we have two equations isolated for b , we can simply use substitution and solve for c . y=x2+bx+c 16 + 2 = y y = 18 and x = -2
Answer:
The Answer is: y = 2x - 3
Step-by-step explanation:
Given points: (3, 3) and (4, 5)
Find the slope, m:
m = y - y1/(x - x1)
m = 3 - 5/(3 - 4)
m = -2/-1 = 2
Use the Point Slope form of the equation:
y - y1 = m(x - x1)
y - 5 = 2(x - 4)
y - 5 = 2x - 8
y = 2x - 8 + 5
y = 2x - 3
Proof:
f(3) = 2(3) - 3
= 6 - 3 = 3, giving (3, 3)
This is simple division:
So, plug it into your calculator and you get:
Your answer's that
it takes 4.5 hrs for the surveillance run.
Answer:
1.548 gallons
Step-by-step explanation:
Length of the rectangular wall = 25.1 ft.
Width of the rectangular wall = 18.5 ft.
Area of the rectangular wall = length * width = 25.1 * 18.5
= 464.35 square feet
300 square feet wall can be painted using 1 gallon of paint.
=> 1 square feet wall can be painted using ![\[\frac{1}{300}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B300%7D%5C%5D)
gallon of paint.
=> 464.35 square feet wall can be painted using ![\[\frac{1}{300} * 464.35\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B300%7D%20%2A%20464.35%5C%5D)
gallon of paint.
= 1.548 gallons of paint
