Jay wrote an equation to determine sales tax on an item he wanted to buy. The equation was Y equals 0.0 9X, where Y represents t
he amount of sales tax and X represents the cost of the item before tax is added.Which graph represents this information?
2 answers:
Step-by-step explanation:
Given the equation:
y = 0.09x where:
- x: represents the cost of the item before tax is added.
- y: represents the amount of sales
=> On a coordinate plane, the x-axis is labeled Cost of Item (in dollars) and the y-axis is labeled sales tax (in dollars)
We create a table of values
x y
0 0
10 0.9
=> the line go through two points (0, 0) and (10, 0.9)
Hence tow dwaw a graph, we just connect two points together.
Please have a look at the attached photo.
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Answer:
see explanation
Step-by-step explanation:
(a)
x² - 2x - 4
using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² - 2x
= x² + 2(- 1)x + 1 - 1 - 4
= (x - 1)² - 5
with c = - 1 and d = - 5
(b)
x² - 2x - 4 = 0 ← using result from (a) , that is
(x - 1)² - 5 = 0 ( add 5 to both sides )
(x - 1)² = 5 ( take the square root of both sides )
x - 1 = ± ( add 1 to both sides )
x = 1 ±