We are given that a car starts a journey with a full tank of gas. The equation
relates the number of gallons of gas (y) left in the tank to the number of miles the car has traveled(x).
A. We will find y intercept by substituting x=0 in our equation,


Now let us find our x-intercept by substituting y=0 in our equation,



Therefore, x-intercept is 320 and y-intercept is 16.
B. Our x-intercept represents that after travelling 320 miles there were 0 or none gallons of gas left in tank.
C. Our y-intercept represents that there were 16 gallons of gas in car tank when car started the journey.
Answer:
41.802 feet
Step-by-step explanation:
Given that a 92 ft path cuts diagonally from Mateo St. to Cove St. It makes an angle of 68° with Cove St. and an angle of 34° with Mateo St.
We can visualize a triangle formed by the three streets One side is 92 feet.
Angle opposite 92 feet = 
Let x be length of Cove st and y length of Mateo st.
Using sine angle for triangles,

Simplify to get
x=52.595
y=87.207
Distance saved= 
Answer:
The given set of equation are: x+ (-45) ≤ 35 , x - (-45) ≥ 35
For the given equality to be true, x ≤ 35
Step-by-step explanation:
Here, given the first number = x
Second number = -45
Now, Sum of x and - 45 is at most 35.
⇒ x+ (-45) ≤ 35
Also, The difference of x and -45 is at least 35.
⇒ x - (-45) ≥ 35
Now, simplifying the given set of equations:
x - 45 ≤ 35 ⇒ -x - (-45) > - 35 ( as 3 < 4 ⇒ -3 > -4)
or, -x + 45 > - 35
and second equation is x + 45 ≥ 35
Now, solving both the equations by not taking sign of inequality in to the consideration, we get
x - 45 = 35
x + 45 = 35
Adding both equations,we get: ⇒ 2x = 70
or x = 35
Hence for the given equality to be true, x ≤ 35
1.) 44
2.) 29
3.) 27
4.) 18
5.) 37
6.) 24
7.) 42
8.) 506
9.) 0
10.) -5