Answer:
(1, -7)
Step-by-step explanation:
P(3,4)
3 up ---> y = 4 + 3 = 7
2 left ----> x = 3 - 2 = 1
new point (1, 7)
after 180 rotation around origin
point is (-1, -7)
now reflection over y-axis
(1, -7)
Answer:
7.5 hours
Step-by-step explanation:
Using the variable 't' for time, you can set up an equation to find out how long it will take the truck to catch up to the bus. Since the bus is traveling at 60mph and the truck is traveling 1 2/3 times faster, we need to first find the rate of the truck:
1

Using 't' and the knowledge that they will have traveled the same distance we the truck catches up to the bus and the fact that the truck left 3 hours later:
60t = 100(t - 3) or 60t = 100t - 300
Solve for 't': 60t - 100t = -300 or -40t = -300 so, t = 7.5 hours
Answer:
15/4
Step-by-step explanation:
This is a proportion question
It says 1/2 crates of apple are used for every 3/4 crates of oranges
For 5/2 crates of apple, x crates of oranges will be needed.
To get x, we simply multiply 1/2 by x and equate it to 3/4 multiplied by 5/2
This means: 0.5x = 0.75 × 2.5
x = ( 0.75 × 2.5 ) ÷ 0.5 = 3.75
Hence for 5/2 crates for apple, she will need 15/4 crates of oranges.
The answer is 425 miles.
Both of the companies can be represented by an equation. The first company being f(a) and the second company bring f(b).
f(a)=$0.06x+65
f(b)=$0.10x+48
We want to find where they are equal, so we can set the equations equal to each other.
$0.06x+65=$0.10x+48
From here we can simplify the equation.
17=$0.04x
425=x
Answer:

Step-by-step explanation:
Let the exponential function be,

Here, C = cost of the car
t = Duration or period in years
From the given table,
Two points representing cost of the car and time are (10000, 0) and (8520, 1),
For (10000, 0),

a = 10000
For (8520, 1)
8520 = 

b = 0.8520
Therefore, exponential equation will be,
