Answer:
See attached graph.
Step-by-step explanation:
We can graph this with relative ease on the calculator or computer (see attachment) but let's make sure we understand it theoretically and algebraically!
y=|x - 4| + 2
First of all, this is an absolute value function, so it'll look like a v where every input equals its positive output (2, 2) (-3,3) etc. You can't get a negative number with a graph of y=|x| unless you translate it.
Next, there's a -4 inside the abs val. According to the formula y = |x - h| + k, where h is the horizontal shift, this means we need to shift the vertex right 4.
There's a +2 outside the abs val. K is the vertical shift, so we need to shift the vertex up 2.
Answer:
All real numbers
Step-by-step explanation:
The domain represents the x-coordinates, so you can see on the graph that it goes all the way out to both the left and right directions, meaning it covers all the negative numbers, and all the positive numbers. The question is trying to trick you into thinking about the range, but forget about the y-axis for this one.
Answer:
Nickles: 96 times
Penny: 48 times
Step-by-step explanation:
5+3+8+4 = 20 coins in total
20x = 240
x=12 (chance of a coin being picked)
8 nickles(12) = 96
4 pennies(12) = 48
The last resort because you have no more options
Answer:
The answer to your question is below
Step-by-step explanation:
Question 1
x = 5 Equation l
2x + y = 10 Equation ll
- Substitute Equation l in equation ll
2(5) + y = 10
y = 10 - 10
y = 0
- Solution (5, 0)
Question 2
x + 16y = 20 Equation l
x = 4y Equation ll
Substitute equation ll in equation l
4y + 16y = 20
20y = 20
y = 20/20
y = 1
-Find x
x = 4(1)
x = 4
-Solution
(4, 1)
Question 3
2x + 8y = 20 Equation l
x = 2 Equation ll
-Substitute equation ll in equation l
2(2) + 8y = 20
4 + 8y = 20
8y = 20 - 4
8y = 16
y = 16/8
y = 2
- Solution
(2, 2)
