Answer:
Step-by-step explanation:
Given the equation y=-2x+1 and given another equation y=mx+b in order for us to have no solution we must guarantee that both lines do not intersect. Recall that m is the slope of the second equation and b the y-intercept. To guarantee that both lines don't intersect, they must be parallel. To have this result, we must have that they have the same slope but different y intercept. That is take m = -2 and b any value different to +1. For example, the b = 6. So
y = -2x+6 = -2(x-3) is another equation that gives no solution to the system.
Try making a grid like this. Apologies for the terrible drawing and handwriting. It represents all possible results of rolling two dice and summing their values. The blue column and yellow row represent the values of each die, and the green numbers reptesent their sums.
First, you can see that there are 36 possible values. Second, it's easy to see how many results are greater than 9, since they're all in one corner. And last, you can see just how many are even and how many are odd. Remember to reduce your fractions in the end.
Answer:
z=514
Step-by-step explanation:
120=z-394
+394. +394
514=z
Hope this helps
Answer:
120 miles
Step-by-step explanation:
we know that
The speed is equal to the distance divided by the time
Let
s------> the speed in mph
d-----> the distance in miles
t -----> the time in hours
s=d/t
solve for the distance
d=s*t
<em>It will take Adam four hours to drive to Disney Park</em>
s=x mph
t=4 h
substitute
d=4x -----> equation A
<em>It will take Adam 2.5 times less time if driving 45 mph faster</em>
so
s=(x+45) mph
t=4/2.5=1.6 h
substitute
d=1.6(x+45) -----> equation B
equate equation A and equation B
4x=1.6(x+45)
Solve for x
4x=1.6x+72
4x-1.6x=72
2.4x=72
x=30 mph
Find the distance d
d=4x -----> d=4(30)=120 miles
Answer:
a) There will be approximately a water depth of 7.5 meters after 3h
b) Approximately 2.5 hours have passed when there is 8 m of water in the tank.
Step-by-step explanation:
a) Look for the y-value when the x-value is 3.
b) Look for the x-value when the y-value is 8.
*The y-axis is the depth (m), and the x-axis is the time (h).
