Answer:
See below
Step-by-step explanation:
Both horses travel 0 miles in 0 minutes. We can see this on the graph where both lines start at the 0 in the bottom left corner. For the purpose of writing the equations this also shows us that the y-intercept is 0. In a slope-intercept equation, y=mx+b, that number is the b. b is zero in both equations, so we don't need to write anything for that.
For horse A, we can see on the graph that at 4 minutes, horse A has traveled 1 mile. Also, confirming this rate, at 8 minutes, it went 2 miles. This will help us find the rate. The rate will be the number we fill in for the m in the y=mx+b equation. Horse A goes 1mile every 4 minutes. That is a rate of 1/4 miles per minute. So Horse A's equation will be
y = (1/4)x You can make it more *intuitive* possibly by using m for miles and t for time instead, like this:
m = (1/4)t
Horse B is a little bit faster, and you can see this bc the line is a little bit steeper. It goes 2 miles in 5 minutes (confirm you can see it goes 4 miles in 10 minutes)
So Horse B's equation is
y = (2/5)x
or miles = (2/5)time
Mathematically, the equations are the same whether you use x,y or m,t
If Horse A runs for 12 minutes then it will run
miles = (1/4)minutes
miles = (1/4)(12)
miles = 3
If Horse B runs for 12 minutes, then it will run
miles = (2/5)minutes
miles = (2/5)12
miles = 4.8
The correct answer is :False
Answer:
0.8
Step-by-step explanation:
20 / 100 = 0.2
1 - 0.2 = 0.8
Answer:
{36, 66, 78}
Step-by-step explanation:
Let the measures of the three angles be f, s and t, for first, second and third. Then s + t = 4f, t = 12 + s, and f + s + t = 180.
Subbing 12 + s for t in the first equation, we get s + 12 + s = 4f.
Subbing the same in the third equation, we get f + s + 12 + s = 180
This results in two equations in two unknowns (f and s):
2s - 4f = -12
2s + f = 168.
Let's eliminate s by subtracting the first of these two equations from the second. Doing so yields 5f = 180. Then the first angle, f, or x, is 36.
Then, from 2s + f = 168, we get 2s + 36 = 168, or 2s = 132. Thus, the second angle is s = y = 66.
The sum of the three angles must be 180. Thus, 36 + 66 + t = 180, or
102 + t = 180, or t = z = 78.
The three angles are
{36, 66, 78}.
Answer:
2x+6=-8(x>=-7), 2x+3<9(x<3), 2x-4<=-8(x<=-2), -x-8>=-5(x<=-3), x+-4<=-3(x<=1)
Step-by-step explanation:
