Answer:
$95, $115, $135, $155
Step-by-step explanation:
If the first person gets x dollars:
the next person gets 20 more, so x + 20 dollars
the next person gets x + 40 dollars
and the last person gets x + 60 dollars
We add all these allocations together, and we get $500
x + (x + 20) + (x + 40) + (x + 60) = 500
Combine like terms
4x + 120 = 500
Subtract 120 on both sides
4x = 380
Divide by 4 on both sides
x = 95
So the first person gets $95.
The second person must get $115
The third must get $135
And the fourth must get $155
Checking our work:
95 + 115 + 135 + 155 = 500
40/16 = 24/x
16*24 = 384
x = 384 / 40
x =9.6
it cast a shadow 9.6 feet long
Answer:
As shown in picture,
Option 2 is correct.
Horizontal asymptote at y = 0 (graph approaches to 0 when x at -infinity and + infinity)
Option 4 is correct.
Vertical asymptote at x = 6 ( graph goes to infinity when x = 6)
Option 5 is correct.
Vertical asymptote at x = -4 ( graph goes to infinity when x = -4)
Hope this helps!
:)
Answer:
angle 1+angle 2 = 180 degrees
Step-by-step explanation:
when 2 angles are supplementary, they equal 180 degrees when they are added up. Because angles 1 and 2 are supplementary, this means that angle 1 + angle 2 equals 180 degrees.
ANSWER:
[a] A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable. The slope of the line is b, and a is the intercept (the value of y when x = 0).
[b] In the equation of a straight line (when the equation is written as “y = mx + b”), the slope is the number “m” that is multiplied on the x, and “b” is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the “Slope-intercepts form”.
NOTE: See picture attached.
