This can be factored into (x+9)(x+5)/(x+9)(x+1)
once simplified, it's (x+5)/(x+1)
The denominator cannot be negative, so x≠-1
Therefore, the answer is C.
The general equation of a line is:
When m is the gradient and x1 and y1 are the coordinates of the points on the line
Therefore:
Answer:
5. f(x) = 10,000 (1.5)^x
Step-by-step explanation:
We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.
Let's test it.
Initial:
10,000
After 1 year
10,000 + (.5*10000)
10,000 + 5000 = 15,000
After 2 years
15,000 + (.5*15000)
15,000 + 7500 = 22,500
Let's try our equation.
f(x) = 10,000 (1.5)^x
x = 2
10,000(1.5)^2
10,000(2.25) = 22,500
The same!
Answer:
5
Step-by-step explanation:
First, find the equation of the line:
put it in the form y = mx + b where m is the slope and b is the y-intercept
You already have m = 2, so y = 2x + b.
Then, since you know (1, 3) is a solution so you can plug x = 1 and y = 3 into the equation to find out what b is.
3 = 2 * 1 + b
3 = 2 + b
1 = b
This means the equation of the line is y = 2x + 1.
Then, since you're trying to find out what y is when x = 2, you can plug in x = 2 into the equation:
y = 2 * 2 + 1
y = 4 + 1
y = 5
5 is the answer
