Answer: 6 large frames and 12 small frames
Step-by-step explanation:
We define the following:
x = number of large frames
y = number of small frames
Make the following equations:
x + y = 18
19x + 9y = 222
Use system of equations to solve. We find the value of x first.
y = 18 - x
⇒ 19x + 9(18 - x) = 222
⇒ 19x + 162 - 9x = 222
⇒ 10x + 162 = 222
⇒ 10x = 60
⇒ x = 6
Find value of y:
6 + y = 18
y = 12
∴ 6 large frames and 12 small frames were purchased.
Hey there! :)
When teachers ask you for the standard form in math, they are asking you to find the simplest form an equation with variables can be in.
Ax + By = C
Example : put y=2x -3 into standard form.
Subtract 2x from both sides.
-2x + y = -3 —> standard form.
Hope this helped! :)
Whats the problem that you need help with
Answer:
6
+ 5x³ - 9x² + 2x
Step-by-step explanation:
Given
(3x² - 2x)(2x² + 3x - 1)
Each term in the second factor is multiplied by each term in the first factor, that is
= 3x²(2x² + 3x - 1) - 2x(2x² + 3x - 1) ← distribute both parenthesis
= 6 + 9x³ - 3x² - 4x³ - 6x² + 2x ← collect like terms
= 6 + 5x³ - 9x² + 2x
