On her map 1 inch is equal to 20 miles.
5x=100
divide both sides by 5
x=20
5 is for the 5 inches.
x is for the unknown.
100 is the 100 miles between the cities.
So the scale 1:20
Answer:
2*2*3*5
Step-by-step explanation:
Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5. The actual prime factors of 60 are 2, 3, and 5.
PART A:
The x-intercept at 0 shows the location where the ball was kicked. The x-intercept at x = 16 shows the location where the ball hit the ground.
The maximum value represents the highest point of the ball.
The interval where the function is increasing is 0<x<8. Between this interval, the height of the ball measured from the ground is increasing.
The interval where the function is decreasing is 0<x<16. Between this interval, the height of the ball is decreasing.
PART B:
Reading from the graph
When x = 8, y = 10 ⇒ let this be x₁ = 8 and y₁ = 10
When x = 13, y = 6 ⇒ let this be x₂ = 13 and y₂ = 6
The rate of change = (y₂-y₁) / (x₂-x₁)
The rate of change = (6 - 10) / (13 - 8)
The rate of change = -4 / 5 = -(4/5)
Answer:
y = - 2 x
Step-by-step explanation:
The catch to this one (and there is a catch) is that the y intercept is at 0,0.
All you need is the slope and that means you have to solve the equation for y
2y = 4x - 6y + 4 Add 6y to both sides
2y + 6y = 4x + 4 Combine terms on the left
8y = 4x + 4 Divide by 8
y = 4x/8 + 4/8 Reduce 4/8 to 1/2
y = 4x/8 + 1/2
y = 1/2 x + 1/2
Nowyou are all set to answer the question.
m1 * m2 = - 1
m1 = 1/2 because the coefficient in front of the x is the slope (5/8 in this case). m1 and m2 are both slopes.
1 /2 * m2 = - 1 multiply both sides by 2
(1/2)*(2)*m2 = -1 * (2)
m2 = - 2
The slope of the equation you want is - 2
y = -2 x is the answer
The graph below shows the two equations.
U sell a product that was purchased for $750 for $1500, this means cash increases by $750 and owners equity increases by $750