Answer:
<em>y = - x + 5 </em>
Step-by-step explanation:
A(1, 4)
B(4, 1)
= 
= - 1
y - 1 = - 1 ( x - 4 )
<em>y = - x + 5</em>
Okay, to solve this we simply find 75% of the carton of paper, because 100%-25% = 75%
0.75(27) = 20.25
The carton of paper costs $20.25
Answer:
50
Step-by-step explanation:
There is 180 degrees in a triangle.
65 + 65 = 130
180 - 130 = 50
Answer:
after 10 months
Step-by-step explanation:
Let x be the number of months and y be the amount they still owe.
Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.
Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in
b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.
They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:
-60x+ 1000 = -20x+ 600
1000 = 40x+ 600
400 = 40x
10=x
They will then owe the same amount after 10 months.
Answer:
= 2n + 3
Step-by-step explanation:
This is an arithmetic sequence with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 2 , then
= 5 + 2(n - 1) = 5 + 2n - 2 = 2n + 3
