Answer:
in the ordered pair; ( x = 27/4 , y = 1/4 )
Step-by-step explanation:
Given that:
The system of the equation shown below is:
-2x - 14y = 10
2x + 2y = 14
We are to use the elimination method to determine the ordered pair.
From the above equation:
-2x - 14y = 10 --- (1)
2x + 2y = 14 --- (2)
Add both equation 1 and 2 together in order to eliminate x, then we can solve for y first.
-2x - 14y = 10
<u> 2x + 2y = 14 </u>
<u> 0 - 16y = -4 </u>
<u />
- 16 y = - 4
divide both sides by - 16, Then:
-16y /-16 = -4/-16
y = 1/4
Since y = 1/4, Then from equation (2), x will be :
2x + 2y = 14
2x + 2(1/4) = 14
2x + 1/2 = 14
2x = 14 - 1/2
2x = 13.5
x = 13.5/2
x = 27/4
Thus, in the ordered pair; ( x = 27/4 , y = 1/4 )
Answer:
if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.
Step-by-step explanation:
Answer:
Noah spent $3.3 for 1 gallon of gasoline.
Lydia spent $3.25 for 1 gallon of gasoline.
Step-by-step explanation:
To find how much each person spent for 1 gallon of gasoline, we divide the amount spent by the number of gallons.
Noah spent $66 for 20 gallons of gasoline.
Amount spent $66, 20 gallons. So
66/20 = $3.3
Noah spent $3.3 for 1 gallon of gasoline.
Lydia spent $81.25 for 25 gallons of gasoline.
Amount spent $81.25, 25 gallons. So
81.25/25 = $3.25
Lydia spent $3.25 for 1 gallon of gasoline.
You will need to use the Pythagorean Theorem, actually a derivative of it sometimes called the "distance formula" to find the length of the segments between two points. Mathematically the distance is:
d^2=(x2-x1)^2+(y2-y1)^2
d=√(dx)^2+(dy)^2)
Answer:
Largest value of x = 7
Smallest value of x = -1
Step-by-step explanation:
To fill in the gaps:
......+(-3x)² = 7 + (-3)²
(.......-3)² = 7 + (-3)²
(.........) = ...4
...... = +4 and ...... = -4
