Answer:
x > -2
Step-by-step explanation:
the graph stops at x = -2 and doesn't move further down
The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.
Answer:
5/4k^2
Step-by-step explanation:
There are four queens in a deck of cards, so the probability of drawing a queen is 4/52. There is also a 4/52 chance of drawing a two. Because you can draw either a two or Queen, you add the probability of each.
4/52 + 4/52 = 8/52
8/52 can be simplified to 2/13
Answer: 12
EXPLANATION
An exponential function is in the form y = f(x) = a
· b^x
Given,
When x = 0, y = 3
When x = 1, y = 6
Therefore,
Since y = a · b^x
When x = 0, y = 3
3 = a(b^0)
Any value raised to the power of 0 = 1
Therefore a = 3
So the exponential function we are considering is rewritten
as y = f(x) = 3 · b^x
Since y = 3 · b^x
When x = 1, y = 6
6 = 3 · b^1
6 = 3b
3b = 6
Divide both sides of the equation by 3
3b/3 = 6/3
b = 2
So the exponential function we are considering is rewritten
as y = f(x) = 3 · 2^x
When x =2, y = r
To find the value of r
y = f(x) = 3 · 2^x
r = 3 · 2^2
r = 3 · 4
r = 12
Therefore, the value of r that will make the table a
representation of an exponential function is 12
