[(-7)(-7)(-7) + (-7)(-7)(-7)] - [(-7)(-7) + (7)(7)]
(-343 + -343) - (49 + 49)
-686 - 98 = -784
The answer is a) -784 :)
Let the three integers be x - 1 x and x + 1
(x - 1)(x + 1) = 6x + 6
x^2 - 1 = 6x + 6
x^2 - 6x - 7 = 0
(x - 7)(x + 1) = 0
x - 7 = 0
x = 7
x + 1 = 0
x = - 1
the solutions are (7,0) and (-1,0)
The lines are neither parallel nor perpendicular
<h3>How to determine the relationship between the lines?</h3>
The equations of the lines are given as
3 x minus y equals 5
3 y equals x minus 15
Rewrite the equations properly
3x - y = 5
3y = x - 15
Make y the subject in both equations
In 3x - y = 5, we have
y = 3x + 5
In 3y = x - 15, we have
y = 1/3x - 5
The slopes of the two lines are
m1 = 3
m2 = 1/3
The above values are not equal, and they are not opposite reciprocal
This means that the lines are neither parallel nor perpendicular
Read more about linear equations at:
brainly.com/question/14323743
#SPJ1
Answer:
i'm not sure if this all correct
Step-by-step explanation:
part A you start at 8 from the first participant then you take away one from the last one. you add up all the numbers up to get the answer. 8+7+6+5+4+3+2+1=36.
part B the first part is 1x1x1x1x1x1x1x1=1. the second part is 8x7x6x5x4x3x2x1= 40,320. the third part is 1/40320
Sarah's expenses are 2130/3120×100% = 68.3% of her income.
The amount left over is 100% - 68.3% = 31.7%