Answer:
y = 3x-2
Step-by-step explanation:
We can find the slope using the equation for slope
m = (y2-y1)/(x2-x1)
= (13-4)/(5-2)
= 9/3
= 3
We know the slope and a point, so we can use point slope form to make an equation
y-y1 = m(x-x1)
y-4 = 3(x-2)
Distribute
y-4 = 3x-6
Add 4 to each side
y-4+4 = 3x-6+4
y = 3x-2
This is in slope intercept form (y= mx+b)
Answer: (9, -2)
Step-by-step explanation:
Let's start with what makes a function even. A function is even if the graph of it is symmetric about the y-axis. What is really means is that if you were to fold your graph paper where the crease is on the y-axis, the graph should be the same on each side.
Now since g is an even function, it's correct for us to assume that it is symmetric about the y-axis. What this means is that we expect to find a value at the same point, except on the right side (because our coordinate is negative).
Our coordinate is (-9, -2). If we were to plot it, we'd see it would be in the 3rd quadrant, or the bottom left one. To be symmetrical on the right side, we know there is a point with the same coords in the 4th quadrant. To be on the right, our x coordinate would be positive, and our y coordinate will stay the same.
Given:
3 teaspoons of salt for every 5 cups of flour.
How much salt is needed for 15 cups of flour?
This is a proportion problem:
a/b = c/d where ad = bc
3/5 = x/15
3*15 = 5x
45 = 5x
45/5 = x
9 = x
C. 9 teaspoons of salt is needed for 15 cups of flour.
3/5 = 9/15
3*15 = 5*9
45 = 45
Answer:
x = -3
Step-by-step explanation:
−5x = 15
-5x/-5 = 15/-5
x = -3
