Answer:
x=4 and y= 2
Step-by-step explanation:
<span>15x + 35y - 40 z = 5 (3x + 7y -8z)
hope that helps
............................</span>
In order to understand if the inequalities are always, never or sometimes true, you need to perform the calculations:
A) <span>9(x+2) > 9(x-3)
9x + 18 > 9x - 27
the two 9x cancel out and you get:
+18 > -27
which is always true.
B) <span>6x-13 < 6(x-2)
6x - 13 < 6x - 12</span>
</span><span>the two 6x cancel out and you get:
- 13 < -12
which is always true
C) </span><span>-6(2x-10) + 12x ≤ 180
-12x +60 +12x </span>≤ 180
-12x and +<span>12x cancel out and you get:
60 </span><span>≤ 180
which is always true.
All three cases are always true.</span>
Answer:
C 20
Step-by-step explanation:
Set up equations:
Laguna's Truck Rentals
y = 2x + 20
Where x is the number of miles driven and y is the total price
<em>How did we get to this equation?</em>
Well, the company charges $2 for every mile driven. Therefore, by multiplying 2 and x, you will find the price paid per mile. The 20 (which represents $20) is the one-time payment you pay for simply using the service.
Salvatori's Truck Rentals
y = 3x
Where x is the number of miles driven and y is the total price
<em>How did we get to this equation?</em>
For this company, you only pay for how many miles you drive. There isn't a one-time payment like there is for Laguna's Truck Rentals. Therefore, you only need to multiply the price per mile ($3) by the number of miles driven (x).
Set the equations equal to each other:
2x + 20 = 3x
<em>Why would you do this?</em>
We need to set the equations equal to each other because we need to find the point at which the prices are the same. When two things are the same, they are equal. Therefore, we get rid of the y variable (which represents the total price) because we want to find the value of x when the equations are equal to one another.
Solve:
2x + 20 = 3x
Subtract 2x on both sides:
2x + 20 = 3x
-2x -2x
20 = x
When x is equal to 20, or when the number of miles driven is 20, the total price of the Truck Rental services is the same.
Hope this helps :)
Answer:
7.6
Step-by-step explanation:
From the graph, we know the lengths of two legs.
a = 3
b = 7
Knowing this, we can use the Pythagorean Theorem to solve for c, the hypotenuse. (remember, a^2 + b^2 = c^2)
c = √a2 + √b2
= √(7)2 + √(3)2
= √49 + √9
= √58
= 7.6
