Its fairly straightforward. Since the bottom equation only has one unknown,x, because y=1.3, you can plug y in and solve for x. Once you find the value of x, you then have the value for two variables, x and y, and again have one unknown coefficient a. To solve for the coefficient you just plug in your y value (1.3) and your x value (which can be rounded to 0.42). Using a little bit of algebra, you can then solve for a which should be a=2.108. I am not sure if your teacher wants you to solve it this way but you could also use the elimination method or substitution method that you would of learned when discussing system of equations. But no matter which way you do it, the math follows the rules. Hope this helps. I’d suggest you solve it yourself to double check my work.
To verify my credibility,
I am a Mechanical Engineering major w/ minor in mathematics
Answer:
315 km
Step-by-step explanation:
If the bus travels at constant speed, then the slope of the distance versus time graph can be calculated by using any two points from this table.
Let's use the points (0.5, 42) and (4.5, 378):
as we move from the first point to the second, t increases by 4 and y increases by 336. Thus, the slope of this graph is
m = rise / run = 336 km / 4 hr = 84 km/hr
then distance traveled = speed times time, or
distance traveled = (84 km/hr)t, where t is the elapsed time.
In 6 hours the bus would travel
( 84 km/hr )(6 hr) = 504 km, or approx. 315 mi
Answer:
see below
Step-by-step explanation:
1. 0 = (r + 1)(r + 8)
Using Zero Product Property, r = -1, r = -8
2. h(r) = (r + 1)(r + 8)
= r² + 9r + 8
= (r + 9/2)² - 81/4 + 8
= (r + 4.5)² - 12.25 (Complete the square)
Vertex: (-4.5, -12.25)
