Answer:
Step-by-step explanation:
If this is an exponential function, it is of the form
where x and y are coordinates from your table, a is the intial value, and b is the growth/decay rate. To find out what the equation is that represents this data, choose 2 points and solve first for a and then for b. Just a hint: If at all possible, choose the coordinate that gives you an x of 0. You'll see why in a minute.
I chose the first 2 points from your table: (0, .2) and (1, .8). Solving first for a:
The reason to choose the x of 0 as one of your points is because anything raised to the power of 0 is 1. So our equation then becomes:
so
a = .2 Easy enough.
Now use that value along with the other coordinate to solve for b:
b to the first is just b, so,
.8 = .2b
Divide both sides by .2 and you'll get that
b = 4
The equation, then, is
which is growth, since the value for b is greater than 1.
Add 6x and 4x to make 10x
then it's 10x + 2 < 14
then subtract the 2 from the 14
10x< 12
divide 10
x< 12/ 10
simplify
x< 6/5 or 1 1/5
Answer:
Step-by-step explanation:
One solution: when two lines intersect in exactly one point.
Infinitely many solutions: When one of two lines can be shown algebraically to be exactly the same as the other. The two lines coincide.
No solution: The two lines have the same slope but different y -intercepts. They can't and don't intersect.
Answer:
the exact value of tan(-315) is 1
