Answer:
0,1.5
Step-by-step explanation:
y = 510 - 60x
We want to find the domain or the x values where x represents the time
We need to determine the possible values for x
Y cannot be greater than 510 or less than 0. 510 means they have not started the trip, and 0 means they have arrived
510 = 510 -60x
Subtract 510 from each side
510-510 = 60x
0 = 60x
The smallest value of x can be 0
0 = 510 - 60x
Subtract 510 from each side
-510 = 510-510-60x
-510=-60x
Divide by -60
-510/-60 = -60x/-60
8.5 = x
The maximum value of x is 8.5 hours
So x must be between 0 and 8.5 inclusive.
Answer:
x^2 /(x^2 -36)
Step-by-step explanation:
x/(x-6) ÷ (x+6) /x
Copy dot flip
x/(x-6) * x/(x+6)
x^2/ ( x-6)(x+6)
This is the difference of squares( a-b)(a+b) = a^2 -b^2
x^2 /(x^2 -36)
Answer:
66.67
I think
Step-by-step explanation:
Answer:
Part A. At least 6 hours
Part B. In less than 2.5 hours Elijah will be behind Mercedes
Part C. In more than 2.5 hours Elijah will be ahead Aubrey
Step-by-step explanation:
D = distance
v =speed
t = time
Formula connecting D, v and t:

Part A.
Steve's speed: 
Distance: at least 21 miles
Time: unknown, so
![3.5\cdot t\ge 21\\ \\35t\ge 210\ [\text{Multiplied by 10}]\\ \\t\ge \dfrac{210}{35}\\ \\t\ge \dfrac{30}{5}\\ \\t\ge 6](https://tex.z-dn.net/?f=3.5%5Ccdot%20t%5Cge%2021%5C%5C%20%5C%5C35t%5Cge%20210%5C%20%5B%5Ctext%7BMultiplied%20by%2010%7D%5D%5C%5C%20%5C%5Ct%5Cge%20%5Cdfrac%7B210%7D%7B35%7D%5C%5C%20%5C%5Ct%5Cge%20%5Cdfrac%7B30%7D%7B5%7D%5C%5C%20%5C%5Ct%5Cge%206)
It would take Steve at least 6 hours to walk at least 21 mi on Day 1.
Part B.
Mercedes's speed: 
Elijan's speed: 
Elijan's Distance walked:
miles
Mercedes's Distance walked:
miles
Time: x hours
Mercedes is 2 miles ahead, so

Elijan will be behind when

In 2.5 hours Elijan will catch up Mercedes, and in less than 2.5 hours Elijah will be behind Mercedes.
Part C.
Aubrey's speed: 
Elijan's speed: 
Elijan's Distance walked:
miles
Aubrey's Distance walked:
miles
Time: x hours
At the beginning of Day 3, Elijah starts walking at the marker for Mile 42, and Aubrey starts walking at the marker for Mile 42.5.

Elijan will be ahead of Aubrey when
![D_E>D_A\\ \\42+3.2x> 42.5+3x\\ \\3.2x-3x>42.5-42\\ \\0.2x>0.5\\ \\2x>5\ [\text{Multiplied by 10}]\\ \\x>\dfrac{5}{2}\\ \\x>2.5\ hours](https://tex.z-dn.net/?f=D_E%3ED_A%5C%5C%20%5C%5C42%2B3.2x%3E%2042.5%2B3x%5C%5C%20%5C%5C3.2x-3x%3E42.5-42%5C%5C%20%5C%5C0.2x%3E0.5%5C%5C%20%5C%5C2x%3E5%5C%20%5B%5Ctext%7BMultiplied%20by%2010%7D%5D%5C%5C%20%5C%5Cx%3E%5Cdfrac%7B5%7D%7B2%7D%5C%5C%20%5C%5Cx%3E2.5%5C%20hours)
In 2.5 hours Elijan will catch up Aubrey, and in more than 2.5 hours Elijah will be ahead Aubrey.
Answer:
<U= 75°
<V=65°
x=50
Step-by-step explanation:
The interior angles to a triangle always equal 180°.
Set up your equation:
180= 40+x+15+x+25
Subtract 40 from 180 to get 140. Subtract 15 from both sides. Now you have 125. Subtract the 25 from both sides. You now have 100.
Divide the 100 by 2 to find what x is because your equation is now 100=2x
x=50
v= 50+15= 65 so V is 65°
U is 50+25 so U is 75°