When the x-intercept solution of a system of two-variable equations is plugged in, the equations yield the same value. Thus, for the points to be solutions, F(x) = G(x)
The only option that shows this is C, where
F(8) = G(8) and F(24) = G(24)
Using cosine law and considering the angle ABC is 89 you can deduce that AC is 6.3
6<6.3
So the largest possible integer is 6
An exponential function is :
f ( x ) = a * b^x,
where x is the number of the years.
a = 240 ( number of the birds at start )
16 % = 0.16
b = 1 + 0.16 = 1.16
f ( x ) = 240 * 1.16^x
Answer:
a = 240, b = 1.16
Answer:
To find the equation of the line parallel to the graph, first of all find the slope of the graph by making y the subject of the formula and comparing the resulting equation with y = mx + c , knowing fully well that m stands for the slope.
So, from the equation of the graph give, y = 4x/5 +1/5, therefore the slope is 4/5. For a line to be parallel to the graph then they must have the same slope, to find the equation of the line at the given point, then we use the formula
y - y1 = m ( x - x1 )
y - 3 = 4/5 ( x - 1 )
multiply through by 5
5( y - 3 ) = 4 ( x - 1)
5y - 15 = 4x - 4
5y - 4x = - 4 + 15
so, 5y - 4x = 11 is the equation
Step-by-step explanation:
Answer:
The answer to your question is: r = 0.1
Step-by-step explanation:
Data
P = $4500
A = $9000
t = 9 years
r = rate
Formula
![r = \sqrt[t]{\frac{A}{P}} - 1\\](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5Bt%5D%7B%5Cfrac%7BA%7D%7BP%7D%7D%20-%201%5C%5C)
Substitution
![r = \sqrt[9]{\frac{9000}{4500} - 1\\](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B9%5D%7B%5Cfrac%7B9000%7D%7B4500%7D%20-%201%5C%5C)
Simplification
![r = \sqrt[9]{2} - 1](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B9%5D%7B2%7D%20-%201)
Result
r = 1.08 - 1
r = 0.08 ≈ 0.1
