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.
Answer: $47.60
Step-by-step explanation: First, we will multiply $2.08 by 20 because we want to know how much it will cost for 20 gallons of gas.
$2.08 x 20 = $41.60
Now, just add the $6.00 car wash to the total amount of gas which is $41.60.
$41.60 + $6.00 = $47.60
So, the total amount of his purchase was $47.60
Answer:
1. Not a function.
2. This is a function.
3. This is a function.
Step-by-step explanation:
1. 13 maps on to 4 and -4 so not a function.
2 and 3 - these both pass the vertical line test so they are functions.
Ashley can purchase 10 pizzas and Brian can purchase 12 so there would be nothing left on the cards
5/60=12
10/100=10
Answer: 
.
Step-by-step explanation: We are given expression .
And expression is converted in 
.
Now, we need to transform the expression into a single exponent expression using the properties of exponents.
We know, according to the properties of exponents
Applying same rule in given expression, we get
On simplifying exponents, we would get t in exponent.
= .
