Find the slope of the line through (x1,y1) = (0,6) and (x2,y2) = (2,0)
m = (y2 - y1)/(x2 - x1)
m = (0 - 6)/(2 - 0)
m = -6/2
m = -3
The slope is -3
Since we're given the point (0,6) to be on the line, we know the y intercept is b = 6.
Plug m = -3 and b = 6 into y = mx+b to get y = -3x+6
Answer: Choice D) y = -3x+6
Answer:
there was a 16% increase since 2010 to 2012
Step-by-step explanation:
lets say the train had 100 people on it in 2010 and in 2011 it had an 8% increase which then brings you to 8 plus 100 and you get 108.
Now in 2012 there was an increase 8%, so you will add 8 to your previous answer 108 and receive 116. So now there was 16 more passengers in 2012 than in 2010. Transfer the 16 passengers into 16% and you now have your answer.
Answer:
2
Step-by-step explanation:
Slope or gradient of a line is given by dividing change in y axis by the change in x axis. Slope is represented by m hence 
where 
is the change in y axis while 
is the change in x co-ordinates. Substituting with 6 units while 3 units substitute then the slope will be 
Therefore, the gradient is 2
Am presuming you are looking for the two insects.
In rounding up to nearest whole number, you look at the number before the decimal point, if the number after that is 5 or more, you add up one extra to the digit before the decimal point.
When you round up bumblebee 2.861 to the nearest whole number you have 3.
When you round up honeybee 2.548 to the nearest whole number you have 3.
The two insects are bumblebee and honeybee.
No other two are equal when rounded up to the nearest whole number.
The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x = number of weeks required to complete the assignments
We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:
1. Set y = f(x)
y = 4x - 3/2
2. Exchange x and y
x = 4y - 3/2
3. Solve for y
4y = x + 3/2
y = (x +3/2)/4
4. Set y equal to f⁻¹ (x)
f⁻¹ (x) = (x + 3/2)/4
5. Find f⁻¹ (30)
f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)
Answer:
Pedro needs about 8 weeks to complete 30 assignments.
