You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.
1) Multiply the binomial by itself.
(3x - 2)^2 = (3x - 2)(3x - 2) =
Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)
= 9x^2 - 6x - 6x + 4
= 9x^2 - 12x + 4
2) Use the square of a binomial pattern
The square of a binomial is
(a - b)^2 = a^2 - 2ab - b^2
a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.
You have
(3x - 2)^2,
where the first term is 3x, and the second term is -2
square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x
Put it all together, and you get
9x^2 - 12x + 4
just like we got above with the other method.
It will take him 182 because when you divide 2175 by12 u get 181.25 and you have to add a day for the point .25
8/10 or 4/5 is what makes up the remaining oceans
Answer:
- As x approaches negative infinity, f(x) approaches negative infinity
Step-by-step explanation:
<u>Given function</u>
- f(x)= x^3 + 2x^2 - 5x - 6
<u>Finding zero's</u>
- x^3 + 2x^2 - 5x - 6 = 0
- x^3 - 2x^2 + 4x^2 - 8x +3x - 6 =
- (x - 2)(x^2 + 4x + 3) =
- (x - 2)(x^2 + x + 3x + 3) =
- (x - 2)(x(x + 1) + 3(x + 3)) =
- (x - 2)(x + 1)(x + 3)
<u>Zero's are</u>
<em>See the graph attached</em>
<u>Correct end behavior as per graph:</u>
- As x approaches negative infinity, f(x) approaches negative infinity
Point-slope form: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)
Data:
(1,1)
m=2
Therefore:
y-y₀=m(x-x₀)
y-1=2(x-1) This is the equation of the line in point-slope form.
Answer. y-1=2(x-1)
