Answer:
Step-by-step explanation:
The expression shows the sum of two terms. The first term has coefficient 1. The second term is the product of 12 and x.
Answer:
The win percentage decreased by 10%
Step-by-step explanation:
First you need to fin the total games played right before Melissa got Injured
41+23=64
Then you need to find the win percentage by making a fraction of wins over total games
wins/total games = 41/64 = 64%
Then you need to find the number of games played after Melissa got injured
54-41 = 13 wins
34-23 = 11 losses
13+11 = 24 total games played without Melissa
You find that win percentage similarly to the first time
wins/total games = 13/24 = 54%
Then you find the difference in the percentages and there you have it!!
64% - 54% = 10%
It decreased as well therefore the answer is...
It decreased by 10%
Answer:
x = -1
Step-by-step explanation:
Since the line is completely vertical there is no slope.
When a line is completely vertical, the setup is x = ___ (fill in the blank with the number that the line intersects on the x axis, in this case -1.)
When a line is completely horizontal (not applicable in this problem) the setup is y = ___ (fill in the blank with the number the line intersects on the y axis.)
Answer:
x = π/3, x = 5π/3, x = 4π/3
Step-by-step explanation:
Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3 = 0.
Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.
Similarly:
The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.
So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.
Answer: 0.0476 miles
Step-by-step explanation:
Daurie rides on her motorcycle for 252 miles on 6 gallons of gas. We will determine the unit rate in gallons. It means the number of miles that her motorcycle on one gallon of gas
Distance travelled on one gallon of gas would be 6/252 = 0.0238 miles
At this rate of 0.0238 miles per one gallon of gas, the distance travelled on 2 gallons of gas would be
2 × 0.0238 = 0.0476 miles