Answer:
The rate of change would be -6
Step-by-step explanation:
y2-y1/x2-x1
-4-8/0+2= -6
This can be proven by using the equation
y= -6x-4
y= -6(-2)-4
y= 12-4
y= 8
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Answer:
30 students
Step-by-step explanation:
We can set up both buses in an equation.
Bus company A would be:
y=5x+35
and Bus company B would be:
y=3x+95
We're looking to break even, so, they'll have to equal each other.
5x+35=3x+95
We'll remove 3x from both sides.
2x+35=95
Then we'll remove 35 from both sides.
2x=60
We'll divide both sides of the equation by 2.
x=30
At 30 students, both buses would cost the same.
Answer:
7
Step-by-step explanation:
When you match the form
... ax² + bx + c = 0
to the equation
... 3x² + 5x + 7 = 0
it is reasonable to conclude that ...
... a = 3, b = 5, c = 7.
_____
The question presumes you are familiar with the form
... ax² +bx +c = 0
which is often used as the representation of a general quadratic equation. This lets us use a, b, and c instead of specific numbers, to talk about ways of factoring, graphing, or solving equations like this.
Answer: y= -2x+12
Step-by-step explanation:
First, you know that it would be a plus 12, since the y-intercept is 12. Then, you would find the correlation between x and y. That would have a constant of -2. Then, you put it in slope-intercept form.