Answer:
x = 3 ±
Step-by-step explanation:
x² - 6x - 4 = 0 ( add 4 to both sides )
x² - 6x = 4
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 3)x + 9 = 4 + 9
(x - 3)² = 13 ( take square root of both sides )
x - 3 = ± ( add 3 to both sides )
x = 3 ±
The triangle KLM is rotated about origin by 90 degrees to form the triangle K'L'M'.
<h3>What is a transformation of geometry?</h3>A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Rotation does not change the size and shape of the geometry.
The triangle KLM is rotated about origin by 90 degrees to create the triangle K'L'M'.
The diagram is given below.
More about the transformation of geometry link is given below.
#SPJ1
PART A
Given:
f(x) = 0.69(1.03)x
To find:
If the price of the product is increasing or decreasing and by what percentage
Steps:
we know the formula to find the price of Product A per year, so
f(1) = 0.69 * 1.03 * 1
Price = $0.7107
f(2) = 0.69 * 1.03 * 2
Price = $1.4214
Here the Price of Product after 2 years is greater than the price of Product after one year. So the price of the product A is increasing.
Now to find percentage increase,
Percentage increase = (FV = final value, SV = starting value)
Percentage increase =
Percentage increase =
Percentage increase = 100 %
Therefore, the percentage increase of Product A is 100%
PART B
Given:
Price of product B in 1st year = $10,100
Price of product B in 2nd year = $10,201
Price of product B in 3rd year = $10,303.01
Price of product B in 4th year = $10,406.04
To find:
Which product recorded a greater percentage change over the previous year
Steps:
We need to find the percentage change of Product B and Product A of each year. We know that the percentage change of product A is 100 % for each year, so we only need to calculate for product B
PC of product B from 1st to 2nd year =
=
= 0.01 * 100
= 1 %
PC of product B from 2nd to 3rd year =
= 1%
PC of product B from 3rd to 4th year
≈ 1%
So, percentage change of product B is 1% per year
Therefore, Product A has greater percentage change
Happy to help :)
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