Answer:
The answer is y = 4x - 1
Step-by-step explanation:
First find two points on the line.
I will be using (-1, -5) & (1, 3).
Using the formula for slope, substitute in the values and solve:
y2-y1/x2-x1(This is the formula)
3--5/1--1(When using this formula, if y1 or x1 are negative, make them positive.)
3+5/1+1 or 8/2; which simplifies into 4/1.
So, the slope is 4/1.
Now we use point-slope form:
y - y1 = m(x-x1)
1. Substitute in the values.
y--5 = 4/1(x--1)
2. Simplify and distribute.
y + 5 = 4/1x + 4
3. Subtract 5 from both sides.
y = 4/1x - 1
4. Simplify.
y = 4x - 1
Answer:
C
Step-by-step explanation:
A vertical stretch is accomplished by multiplying the parent by the stretch factor (given as 4 in this problem). At that point, the function is
h(x) = 4x
To flip over the x-axis, change the sign of the function's rule.
g(x) = -4x
In the attached image, f(x) = x is purple, h(x) = 4x is black, g(x) = -4x is red.
Answer:
B)
Foci: ((sqrt5),0),((-sqrt5),0)
Asymptotes: y=((1/2)x), y=((-1/2)x)
Step-by-step explanation:
Same rule with x before y as I mentioned in the other problem to identify the graph.
Answer:
y = x + 12
y + x = 52
x = 20
y = 32
Step-by-step explanation:
Make a system of linear equations using x and y to represent the players on the soccer and field hockey team respectively:
y = x + 12 (this shows how many players are on the hockey team)
y + x = 52 (this shows that there are 52 players total from both teams)
Solve for the variables using either elimination or substitution:
y + x = 52
(x + 12) + x = 52
2x + 12 = 52
2x = 40
x = 20
Then plug x into the first equation:
y = x + 12
y = (20) + 12
y = 20 + 12
y = 32
