Answer:
-(3p +1) (p + 1); 5c(5c - 6 d); -9b(9b + 2a²)
Step-by-step explanation:
p² – (2p + 1)²
= p² - (4p² + 4p + 1)
= p² - 4p² - 4p - 1
= -3p² - 4p - 1
= -(3p² + 4p + 1)
= -(3p +1) (p + 1)
(5c – 3d)² – 9d²
= 25c² - 30cd + 9d² - 9d²
= 25c² - 30cd
= 5c(5c - 6 d)
a⁴ – (9b + a²)²
= a⁴ - (81b² + 18a²b + a⁴)
= a⁴ - 81b² - 18a²b - a⁴
= -81b² - 18a²b
= -9b(9b + 2a²)
Answer:
6.25n + 3.50
$34.75
Step-by-step explanation:
Break down the important information given in the problem.
The one-time delivery fee is 3.50. This is only paid one time an never again, making it the <u>constant</u>, a number that does not change.
Each lunch costs 6.25. This amount will increase depending on how many times Mr. Jackson orders lunches, "n" times. This number is the <u>rate</u> because it changes. The rate is attached to the variable.
If you add the amounts together, that is the total cost of ordering lunches.
6.25n + 3.50
(Reember expressions do not have the equal sign).
To find the cost of ordering 5 lunches, use the expression. Substitute "n" for 5 because "n" represents the number of lunches ordered.
6.25n + 3.50
= 6.25(5) + 3.50 Simplify by multiplying 5 and 6.25
= 31.25 + 3.50 Add the two values
= 34.75 Total cost of 5 lunches
Therefore the cost of ordering 5 lunches is $34.75.
Answer:
100
Step-by-step explanation:
100
<u>Answer:</u>
The correct answer option is .
<u>Step-by-step explanation:</u>
We are given the following rational expression and we are to evaluate and find its value when x is equal to 5 (:
So substituting the given value of to find the value of the given rational expression:
=
So matrix which show equation 4x+2y=4 is .
Given that we have an equation that is 4x+2y=4
So equation is a statement that the values of two mathematical expressions are equal (indicated by the sign =).
So in order to write this equation in matrix form we have to write it into augmented matrix
So augmented matrix is a matrix whose elements are the coefficients of a set of simultaneous linear equations with the constant terms of the equations entered in an added column.
Therefore the matrix will be:
.
Learn more about augmented matrix on brainly.com/question/16796667
#SPJ9