11n-11+35=3n
11n+24=3n
11n-3n=-24
8n=-24
n=-24/8
n=-3
This is the exponential function:
y = 2.50 * 1.03^x
For x = 4:
f ( 4 ) = 2.50 * 1.03^4 = 2.50 * 1.1255 = 2.81
Answer:
- The point ( 4, 2.81 ) is on the graph.
- The graph has a y- intercept only.
- The graph increases from left to right.
Let x = your number.
x^2 - 21 = 4x. Subtract 4x from both sides.
x^2 - 4x - 21 = 0. Factor.
(x - 7) (x + 3) = 0. Set each term to 0.
x + 3 = 0. Subtract 3 from both sides.
x = -3. This is the negative solution.
Set the other term equal to zero.
x - 7 = 0. Add 7 to each side.
x = 7. This is the positive solution.
Answer:
N = 52 * (9/7)^(t/1.5)
Step-by-step explanation:
This problem can be modelated as an exponencial problem, using the formula:
N = Po * (1+r)^(t/1.5)
Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.
In our case, we have that N is the final number of branches after t years, Po = 52 branches, r = 2/7 and t is the number of years since the beginning (in the formula we divide by 1.5 because the rate is defined for 1.5 years)
Then, we have that:
N = 52 * (1 + 2/7)^(t/1.5)
N = 52 * (9/7)^(t/1.5)
Silver for x
-3 - (-8) - (-2) = x
Switch the equation to make x on the right
x = -3 - (-8) - (-2)
x = 5 - (-2)
x = 7
• A negative minus a negative will always evaluate to a positive.
• A positive minus a negative will always evaluate to a positive.
