Answer:
The required equation is 3y=36 and the tape diagram is shown below.
Step-by-step explanation:
Consider the provided information.
We need to write a multiplication equation that has a solution of 12.
3y=36
We know we have to split 36 into three equal groups, so we have to divide by 3 to show this algebraically.
3y÷3=36÷3
y=12
Now check this with the help of tape diagram as shown.
Consider the figure 1.
This represents if 36 had to be split into three groups, how big would each group be?
By the tape diagram we concluded that the value of y is 12.
find the range of the function f(x) = 4x - 1 for the domain {-1, 0, 1, 2, 3}. {-5, -3, 0, 7, 11} {-5, -4, -3, -2, -1} {-11, -7,
Papessa [141]
Range = {4(-1) - 1, 4(0) - 1, 4(1) - 1, 4(2) - 1, 4(3) - 1} = {-4 - 1, 0 - 1, 4 - 1, 8 - 1, 12 - 1} = {-5, -1, 3, 7, 11}
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.
I think it is 2.5 but not sure correct me if i am wrong
