Answer:
y = -5/4x - 5
Step-by-step explanation:
Answer:
1.9 m
Step-by-step explanation:
3.5 - (4*0.4)
3.5 - 1.6 = 1.9
Answer:
Step-by-step explanation:
We were given the slope formula;
This line is vertical if the denominator is zero.
That is when 
This implies that;
Justification;
When , then, the line passes through;
and 
The slope now become
The equation of the line is
This implies that;
... This is the equation of a vertical line.
Answer:
Step-by-step explanation:
-We can use the exponential decay function to estimate the size after 13 years:
Where:
is the size after t years, t is the time, r is the rate of decay and 
the original size.
#We substitute and calculate as:
Hence, the forest covers after 13 years.
Answer:
X=(-1.5, 7.5)
Step-by-step explanation:
Simplifying
4x2 + -24x + -45 = 0
Reorder the terms:
-45 + -24x + 4x2 = 0
Solving
-45 + -24x + 4x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-3 + -2x)(15 + -2x) = 0
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:
Simplifying
-3 + -2x = 0
Solving
-3 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3
Combine like terms: 0 + 3 = 3
-2x = 3
Divide each side by '-2'.
x = -1.5
Simplifying
x = -1.5
Set the factor '(15 + -2x)' equal to zero and attempt to solve:
Simplifying
15 + -2x = 0
Solving
15 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + -2x = 0 + -15
Combine like terms: 15 + -15 = 0
0 + -2x = 0 + -15
-2x = 0 + -15
Combine like terms: 0 + -15 = -15
-2x = -15
Divide each side by '-2'.
x = 7.5
Simplifying
x = 7.5
Solution
x = {-1.5, 7.5}
