Answer:
x=2, -4
Step-by-step explanation:
The equation is 
. The x-intercept is the point(s) where the function intersects the x axis, so this value can be found by plugging in 0 for y. doing so results in 
. Then, solve for x by moving 18 over, dividing by -2, square rooting both sides, and subtracting 1 to find the value of x.
Answer:
a) Function A(x) = (60*x - 1/2*x²)
b)Side length x = 60 m the other side y = 30 m
c) A (max) = 1800 m²
Step-by-step explanation:
Area of rectangular garden with length " x " and wide "y"
A = x*y
Perimeter of rectangular area ( only three sides 2*y and 1*x)
P(r) = 2*y + x
P(r) = 120 = 2*y + x
y = ( 120 - x ) /2
Area of the garden as function of x is
A(x) = [( 120 - x ) /2]*x ⇒ A(x) = (60*x - 1/2*x²)
Taking derivatives on both sides of the equation:
A´(x) = 60 - x
A´(x) = 0 60 - x = 0
x = 60 m
Then
y = ( 120 - x ) / 2 ⇒ y = (120 - 60 )/2
y = 30 m
A(max) = 30 * 60
A(max) = 1800 m²
Answer:
$1125
Step-by-step explanation:
Since $15,000 is over $5000 the commission is 7.5%
Next you turn the percent into a decimal:
0.075
Now multiply $15,000 by 0.075
Answer = $1125
Answer:
Step-by-step explanation:
The general exponential function is,
The points given in the table are,
Putting 
in the general equation, we get
And
Putting the value of a,
Now the exponential function becomes,
Answer:
Domain - all real numbers except 0
Range - all real numbers
Step-by-step explanation:
The function will be undefined if x = 0, but apart from that, the function can take any value
