No, it is not in the solution area for the system.
The point only works in one of the inequalities.
It doesn't work in the inequality: y > -1/2x+ 3
We can put it in to test it:
-7 > (-1/2)3 + 3
-7 > -1.5 + 3
-7 > 1.5 This is a false statement, therefore it is not part of the solution.
Answer:
62.9
Step-by-step explanation:
Let X be the number of hours
Brady drives 60 mph for X number of hours, which is written as 60x.
Mary drives 45 mph for x number of hours, which is written as 45x.
The equation to solve for the number of hours is:
60x + 45x = 1365
Simplify:
105x = 1365
Divide both sides by 105:
x = 1365 / 105
x = 13 hours.
Answer:
The equation is y= 2x+5
Step-by-step explanation:
Lets find the slope of the line through the points (-2,1) and (-4,-3).
where x1 = -2, y1= 1, x2= -4, y2 = -3.
Now apply slope formula:
m= y2-y1/ x2-x1
m= -3-1/-4-(-2)
m = -4/-4+2
m= -4/-2
Divide the term by 2:
m = 2
Now we will apply point slope formula:
y-y1 = m (x-x1)
Now substitute the values in the formula:
y-1=2(x-(-2))
y-1 =2(x+2)
y-1=2x+4
Now combine the constants:
y= 2x+4+1
y=2x+5
So the equation is y= 2x+5 ....
Since the number of green and blue marbles is the same, and the number of green marbles is divisible by 8, and the blue marbles by 6, the number of green marbles (and of the blue marbles) must be a multiple of both 6 and 8. The least common multiple of 6 and 8 is 24. So there can be either 24 blue and 24 green marbles, leaving 52 for red and yellow, or 48 blue and 48 green marbles, leaving 2 for red and yellow.
Since red and yellow are the same number, there could be either 26 yellow, or 1 yellow. Since 1 isn't given as an option, it has to be C) 26.
