Answer:
Linear equation with a slope of 2 that goes through the point (3, 4) is 
.
Step-by-step explanation:
From statement we know the slope of the line and a point contained in it. Using the slope-point equation of the line is the quickest approach to determine the appropriate equation, whose expression is:
Where:
- Slope, dimensionless.
, 
- Components of given point, dimensionless.
, 
- Independent and dependent variable, dimensionless.
If we know that 
, 
and 
, the linear equation is found after algebraic handling:
1) 
Given
2) 
Compatibility with Addition/Existence of Additive Inverse/Modulative Property
3) Distributive Property/
/Definition of sum/Result
Linear equation with a slope of 2 that goes through the point (3, 4) is .
Answer:
(x² - 3)(x² + 3)
Step-by-step explanation:
- 9 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
- 9
= (x² )² - 3²
= (x² - 3)(x² + 3)
Answer:
5%
Step-by-step explanation:
<u>price after discount :</u>
9 600 - 9 600×40%
= 5760
<u>Original price (price without profit) :</u>
let x be the original price of the device.
x + x × 20% = 5760
Then
x = (5 760×100)÷120
= 4 800
<u>Original price increased by 30% :</u>
4 800 + 4 800×30%
= 6 240
<u>the discount needed to increase the profit by 10% :</u>
[(9 600-6 240)÷9 600]×100
= 35%
Then
to increase the profit by 10% ,we have to reduce
the percent of discount to :
40% - 35%
= 5%
I think I know what you are thinking and you are halfway on the right track. : ) You are probably looking at the x-axis right in between the pentagon and its reflection. This <em />is the right line, but it is a y-line and not x. When we say a line is at x = 0, we mean that every point on that line has an x-value of 0, such as (0,1), (0,2), (0, 3) etc. Any line in the form x = 0 (or any other number) is a vertical line. Y-lines are the same way but they run horizontal like the line of reflection in this problem. : )
1/5 of 55 is 11, you multiply 11 by 20 and you get 220. Total there is 1100 minutes of tv so then you subtract 220 from 1100 and there is 880 minutes of tv without commercials then you divide that by 60 and you get 14 hours and 20 minutes.
