Answers:
A: 11(2x-1)
B: 121 cupcakes
Step-by-step explanation:
<u>Part A: </u>
We have the following expression that models the quantity of cupcakes Mrs. Jones baked last week:
Applying distributive property:
Grouping similar terms:
Applying common factor 
:
This is the simplified expression
<u>Part B:</u>
Now that we have the simplified expresion, we have to evaluate how many cupcakes did Mrs. Jones bake if 
:
Hence, Mrs. Jones baked 121 cupcakes last week
Multiply both sides by the reciprocal (-8/7). You would get 40/7 or 5.71428571
The y-intercept on the x-y plane is (0, -9).
<h3 /><h3>How to get the y-intercept?</h3>
To get the y-intercept we just need to evaluate in x = 0.
Here we have:
y = 6*(x - 1/2)*(x + 3)
Evaluating the given equation in x = 0 we get:
y = 6*(0 - 1/2)*(0 + 3) = -9
Then the y-intercept on the x-y plane is (0, -9).
If you want to learn more about y-intercepts:
brainly.com/question/1884491
#SPJ1
Answer:
A is the correct answer
Step-by-step explanation:
(9 -4)/ 5
5/5
=1
FOIL is a mnemonic rule for multiplying binomial (that is, two-term) algebraic expressions.
FOIL abbreviates the sequence "First, Outside, Inside, Last"; it's a way of remembering that the product is the sum of the products of those four combinations of terms.
For instance, if we multiply the two expressions
(x + 1) (x + 2)
then the result is the sum of these four products:
x times x (the First terms of each expression)
x times 2 (the Outside pair of terms)
1 times x (the Inside pair of terms)
1 times 2 (the Last terms of each expression)
and so
(x + 1) (x + 2) = x^2 + 2x + 1x + 2 = x^2 + 3x + 2
[where the ^ is the usual way we indicate exponents here in Answers, because they're hard to represent in an online text environment].
Now, compare this to multiplying a pair of two-digit integers:
37 × 43
= (30 × 40) + (30 × 3) + (7 × 40) + (7 × 3)
= 1200 + 90 + 280 + 21
= 1591
The reason the two processes resemble each other is that multiplication is multiplication; the difference in the ways we represent the factors doesn't make it a fundamentally different operation.
