Answer: -4
Step-by-step explanation:
p(x)=x^3+3x^2+ax-12
x+3 is factors means it divide completely so x=-3
p(-3)=(-3)^3+3(-3)^2+a(-3)-12
-27+27-3a-12=0
-3a-12=0
3a=-12
a=-12/3
a=-4
Your range on a graph always the values that y could possibly be. These often include infinity since lines trend in one direction or the other.
Answer:
20
Step-by-step explanation:
4/7 is the same as 4 divided by 7. When you do that you get a really long decimal, I made sure I was right by using a calculator and multiplying that by 35 to get 20.
Hope that helps and have a great day!
There are two interpretations we could go for:
- Adding 4 to the end means we add 4 to each y coordinate (since y = x). This <u>shifts the entire line 4 units up</u>
- Replacing x with x+4 means the xy axis is shifted 4 units to the right. If the line y = x is held completely still while the axis moves, then it gives the illusion the line is moving <u>4 units to the left</u>
Check out the diagram below.
Point A on the red line y = x has two locations it could end up. If we follow method 1, then point A shifts upward to point B. Do this to every point on the red line and the entire red line shifts up 4 units.
Or if you decide to shift 4 units to the left (method 2), then point A moves to point C's location. Doing this to every point on the red line shifts the entire line 4 units to the left.
2 hours because 65 miles is = to one hour
130=65x2
130 miles is =to 2 hours