Answer:
f(x) = 3x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)
m =
= 3 , then
y = 3x ← is the equation of the graphed line
Answer:
5.5hr
Step-by-step explanation:
Distance=550Km
Speed=100Km/hr
Speed=(Distance/Time)
Time=(Distance/Speed)
Time=550/100=5.5hr
Answer:
![(-\infty, -5] \cup (4,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20-5%5D%20%5Ccup%20%284%2C%5Cinfty%29)
Step-by-step explanation:
The symbol
is set notation for UNION--put two sets together into one set.
The first part of the interval notation describes x less than or equal to -5 -- notice the bracket symbol after -5, meaning include -5.
Answer:
253.90
Step-by-step explanation:
Answer:
I use equal signs throughout but they are meant to be less than or equal to signs.
s=sandwiches
4.5s+6 less than or equal to 50
The answer is s is less than or equal to 12
Step-by-step explanation:
Finding Inequality
1. we know everything costs 50 in total so that is on one side of the equal sign.
____=50
2. we know he already spent 6 dollars so the money he can spend is 6 dollars less.
____+6=50
3. Each sandwich costs 4.50 $ so how much money does he have left to spend? we figure that out by multiplying the price by the number of sandwiches.
4.5s+6=50
Solving
1. 4.5s-6=50
First use the addition property of equality and add 6 to both sides.
2. 4.5s=56
Then use the division property of equality and divide each side by 4.5
3. you get a decimal but since you can't buy half a sandwich the answer is
s is less than or equal to 12