Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the G.C.F. of 8x-6.
- G.C.F. stands for Greatest Common Factor.
So what is the G.C.F. of 8x-6? We can list all of their common factors and then select the greatest one, like so:
1, 2, 4, 8, x
-1, 1, 2, -3, 3, -6, 6
So the GCF is:
2
Now, we can also factor it out by placing it outside the parentheses ():
2(4x-3)
See, we factored it out by dividing both terms of the expression by the G.C.F.
Remember this...
Hope this helps you out! :D
Ask in comments if any queries arise.
~Just a smiley person helping fellow students :)
Answer:
A) 60 Degrees
B) 550 Feet
C) 2.5 minutes
Step-by-step explanation:
a) So the wheel has completed one revolution in 10 minutes so lets first divide 100 secs with 10 minutes to calculate the the fraction of revolution
1 min = 60 secs
10 min = 600 secs
100/600 = 1/6
One complete revolution is 360 degrees and 1/6 of 360 degrees will be 60 degrees .
360/6 = 60°
b) It takes 10 minutes to complete one revolution so if the person is on it for 7 minutes it would be 7/10 of a revolution . The ferris wheel has a diameter of 250 feet so the radius will be 125 feet because it is the half of the diameter and the circumference will be 250 π . To calculate the distance lets multiple the fraction of the revolution which is 7/10 into the circumference 
= 550 Feet.
C)It took 10 minutes to travel 250 π now we will use this relation to calculate 200 feet . lets suppose t is for time .
.
After solving this equation as there is only one unknown which is "<em>t</em> "the answer will be 2.5 minutes.
This on is very easy go to my website so i can explain it better for you
<span>https://www.youtube.com/channel/UCaxhPMTZBmFcxAZ4hYpBf_w
</span>
Hope this
Answer:
B, D, and E.
Step-by-step explanation:
A) The system has infinitely many solutions. This is wrong because according to the graph, there is only one solution- where the lines intersect. This would only be true if the lines never intersected.
B) A solution to the system is (-1, -2). This is true because this is the only point where the lines intersect.
C) A solution to the system is (0, -1). Since these aren't parabolas and the one above is true, we can say this is false. Also, the lines don't intersect at (0, -1).
D) One of the equations is y=x-1. This is true because the y-intercept for the red line is -1 and the slope of the equation is 1. You can also find this out by directly solving for the equation.
E) One of the equations is 3x+y=-5. If you put this into slope-intercept form, you will find out that the equation is y=-3x-5. This is true because the y-intercept of this is -5 and the slope of this is -3.
