Answer:
24
Step-by-step explanation:
if 12 cars are half of his collection, his entire collection is 12(2) which equals 24
The function is:
f ( x ) = 2 / ( x² + 3 x - 10 )
x² + 3 x - 10 = x² + 5 x - 2 x - 10 = x ( x + 5 ) - 2 ( x + 5 ) =
= ( x + 5 ) ( x - 2 )
x + 5 = 0 => x = - 5
x - 2 = 0 => x = 2
Answer:
The vertical asymptotes are: x = - 5 and x = 2.
Answer:

Step-by-step explanation:
<u>Equation of the line</u>
A line can be expressed in many forms.
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
The point-slope form of the equation of a line is:
y-k=m(x-h)
Where m is the slope and (h,k) is a point through which the line passes.
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

We are required to find a line with slope m=4 passing through the origin (0,0).
Using the point-slope form:
y-0=4(x-0)
Simplifying

Answer:
a) 
b)
c) 
Step-by-step explanation:
We want to simplify

Let :

Square both sides of the equation:

Expand the RHS;

Compare coefficients on both sides:


Solve the equations simultaneously,


Solve the quadratic equation in b²

This implies that:

When b=-3,

Therefore

We want to rewrite as a product:

as a product:
We rearrange to get:

We factor to get:

Factor again to get;

We rewrite as difference of two squares:

We factor the difference of square further to get;

c) We want to compute:

Let the numerator,

Square both sides of the equation;

Compare coefficients in both equations;

and

Put equation (2) in (1) and solve;



When b=-1, a=-2
This means that:

This implies that:

Answer:
96.2*10^5 gallons
Step-by-step explanation:
gallons of milk produced by 1 cow = 2.6×10^3
No. of cows with local dairy farm = 3.7×10^3
Total of gallons of milk produced by farm = gallons of milk produced by 1 cow * No. of cows with local dairy farm = 2.6×10^3 * 3.7×10^3 = 9.62*10^6
we have to write it in standard form = 96.2*10^5 gallons
i can be also written as = 9,620,000 Gallons.
9.62 Million Gallons of milk is produced by local dairy farm Yearly.