Answer:
Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
How many teams haven't apperared in a super bowl A. 2 B. 5 C.4 D. None
1 answer:
You might be interested in
Bart company charges a lower rate. It is lower by rate $ 0.5 per hour
<h3><u>Solution:</u></h3>Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours
Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours
To find: company that charges lower rate
Let us find the hourly rate of Ace and Bart
<em><u>Hourly rate of Ace company:</u></em>
Rental price = $28
total time in a day 8 hours
So the hourly rate of Ace company is $ 3.5 per hour
<em><u>Hourly rate of Bart company:</u></em>
Rental price = $ 30
total time in a day 10 hours
So the hourly rate of Bart company is $ 3 per hour
<em><u>Comparing hourly rate of both companies</u></em>
Ace company is $ 3.5 per hour
Bart company is $ 3 per hour
Bart company < Ace company
3 < 3.5
Thus bart company charges a lower rate
<h3><em><u>How much lower?</u></em></h3>hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5
So, it is lower by rate $0.5 per hour
2 Answers:
- B) The lines are parallel
- C) The lines have the same slope.
Parallel lines always have equal slope, but different y intercepts.
==========================================================
Explanation:
Let's solve the second equation for y
3y - x = -7
3y = -7+x
3y = x-7
y = (x-7)/3
y = x/3 - 7/3
y = (1/3)x - 7/3
The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.
However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.
Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.
Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.
I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.
