Hope this can help you. I tried to solve each one out and I tried to write notes on how I got the equation and the answer. Message me if you can't read something, my handwriting tends to be messy :)
Correct answer: <span>y=1/2x-5
</span>
given: point = (2,-4)
slope = 1/2
Explanation: equation of line is: y = mx + c
where, m is the slope
c is the y-intercept
Now,
here, y = 1/2x + c
put, x = 2, y = -4
we get, -4 = (1/2).2 + c
or c = -4 - 1
or c = -5
Hence, equation of line is : y = 1/2x-5
Answer:
15hrs
Step-by-step explanation:
We can start by expressing the speed of the second trip as x. This means that the first trip must be x-1, and second (x-1)-1=x-2. Next we can form an equation with the information that the third day hike takes 30 min longer than second day hike. Since we now the distance of both days, we can express them in time. So... 
... We can solve by finding a LCM of all three expressions. Doing so we get 2x(x-2). Now multiplying out with the new denominators, we get 36(x-2)+x(x-2)=28x. Solving as a quadratic equation, the solution comes out to be x=6, x=-12. But as speed can't be negative, only solution is x=6. Now we get the speed of each day's hike. First day=x-1=5, second day=6, third day =x-2=4. Finding the time is simple, just do distance/speed. First day=12.5/5=2.5hrs. Second day=18/6=3hrs. Third day=14/4=3.5hrs. Adding total hrs up... 2.5+3+3.5=9. Finally step is accounting for the 2hr digging time per day. 2hrs*3= 6hrs. 6hrs+9hrs=15hrs. Hope this helps!
Answer:
Step-by-step explanation:
Given
Required
Convert to standard form
Start by opening the bracket
Subtract 7x from both sides
Hence:
The standard form is:
Answer:
There are 30 different ways to order
Step-by-step explanation:
what you do is multiply 3 ( kinds of coffee) by 5 ( kind of pastries) and by 2 ( kinds of sweetener)
with the formula being 3 X 5 X 2 = 30
