If you would like to solve the system of equations, you can calculate this using the following steps:
6x – 3y = 3
–2x + 6y = 14 /*3
_________
6x – 3y = 3
<span>–6x + 18y = 42
</span>_________
-3y + 18y = 3 + 42
15y = 45
y = 45/15
y = 3
<span>6x – 3y = 3
</span>6x - 3 * 3 = 3
6x = 3 + 9
6x = 12
x = 12/6
x = 2
(x, y) = (2, 3)
The correct result would be (2, 3).
Answer:
Part A none
Part B drawn
Step-by-step explanation:
Suppose the transversal intersects a pair of parallel lines it creates two pairs of alternate exterior angles.
Now if we look at the first figure we find that the alternate exterior angle 1 and 4 are equal . Also 3 and 2 are equal.
But <1 and < 2 are not equal . They are supplementary angles. Their sum is equal to 180 degrees.
Similarly angles 3 and4 are supplementary angles.
This situation does not support Ricky's claim. So you will select none in part A.
Now in part B we see that angle 5 &8 are equal and 6 & 7 are congruent.
This refutes Ricky's claims and this can be proved mathematically.
Angles 5 & 6 are supplementary angles. Similarly 7 & 8 are supplementary therefore they cannot be equal as they are unequal and a transversal is drawn not a perpendicular.
Answer:
a. 5%
b. 55%
c. 70%
Step-by-step explanation:
a. The probability of customer wanting both services (P(O&T)) is:
![P(O)+P(T)+P(O\&T) = 0.75\\P(O)+P(O\&T) =0.60\\P(T)+P(O\&T) = 0.20\\P(O)+P(T)+P(O\&T) -[P(O)+P(T)+2P(O\&T)]=0.75 -(0.60-0.20)\\P(O\&T)=0.05=5\%](https://tex.z-dn.net/?f=P%28O%29%2BP%28T%29%2BP%28O%5C%26T%29%20%3D%200.75%5C%5CP%28O%29%2BP%28O%5C%26T%29%20%3D0.60%5C%5CP%28T%29%2BP%28O%5C%26T%29%20%3D%200.20%5C%5CP%28O%29%2BP%28T%29%2BP%28O%5C%26T%29%20-%5BP%28O%29%2BP%28T%29%2B2P%28O%5C%26T%29%5D%3D0.75%20-%280.60-0.20%29%5C%5CP%28O%5C%26T%29%3D0.05%3D5%5C%25)
The probability is 5%
b. The probability that the customer will need an oil change, but not a tire rotation (P(O)) is :

The probability is 55%
c. The probability that the customer will want exactly one of these two services (P(O)+P(T)) is:

The probability is 70%
Answer:
less
Step-by-step explanation:
An increase of 20% makes the price 120% of the original price.
A discount of 20% makes the discounted price 80% of the previous price.
Original price: x
20% increase in price: 1.2 * x
20% discount over the raised price: 0.8 * 1.2 * x
Now we multiply the numbers in the last expression and compare the result with x.
0.8 * 1.2 * x = 0.96x
0.96 is less than x, so the customer pays less than the original price.