Step-by-step explanation: First equation: 3.4.1 3y + 7 = 4y
Subtract 3y from both sides: 3.4.1 (3y - 3y) + 7 - 3y = 4y - 3y
Simplify: 3.4.1 7 = 4y
Divide both sides by 3.4.1: 7 / 3.4.1 = 4 / 3.4.1 * y
Multiply both sides by y: 7y = 4 * 3.4.1y
Substitute 7y with LHS: 4 * 3.4.1y = 7 * Second equation: 3.4.2 10 - 3y + 4 = 8 + 4v - y
Add 3y to both sides: 3.4.2 (10 - 3y + 4) + 3y = 8 + 4v - y + 3y
Simplify: 3.4.2 17 = 12 + 4v
Subtract 12 from both sides: 3.4.2 (17 - 12) + 12 = 4v
Divide both sides by 3.4.2: 4.2 * 5 = 4v
Multiply both sides by v: 4.2v = 4 *
(x + 1)2(2x – 3)
(x + 1)(3x – 2)(5x – 3)
(x + 1)(2x – 3)(3x – 5)
We have to determine the complete factored form of the given polynomial
.
Let x= -1 in the given polynomial.
So,
So, by factor theorem
(x+1) is a factor of the given polynomial.
So, dividing the given polynomial by (x+1), we get quotient as .
So, = (x+1).
=
=
= is the completely factored form of the given polynomial.
Option D is the correct answer.
Answer:
D) (x + 1)(2x – 3)(3x – 5)
Step-by-step explanation:
Cake Me, another cupcake bakery, uses the table below to determine prices.
(x) (y)
2 3.50
3 5.25
4 7.00
6 10.50
Katie bought one cupcake from CupCaking and Sarah bought one cupcake from Cake Me.
Which of the following are true?
A) Katie is paying the smaller price of $1.50 per cupcake.
B)Sarah is paying the smaller price of $1.25 per cupcake.
C) Katie is paying $0.25 per cupcake more than Sarah.
D)Sarah is paying $0.25 per cupcake more than Katie.
E)They are paying the same price per cupcake.
You can pick more then one :)
Answer:
Katie is paying the smaller price of $1.50 per cupcake.
Sarah is paying $0.25 per cupcake more than Katie.
Have a good day.