Answer: (x,y) = (-1, 1)
This means that x = -1 and y = 1
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Explanation:
The first equation says that y is the same as 2x+3
That allows us to substitute y for 2x+3 in the second equation like so:
2x+5y = 3
2x+5( y ) = 3
2x + 5(2x+3) = 3 .... y replaced with 2x+3
2x+10x+15 = 3
12x+15 = 3
12x = 3-15
12x = -12
x = -12/12
x = -1
Then we'll substitute this into the first equation to find y
y = 2x+3
y = 2(-1) + 3 .... x replaced with -1
y = -2+3
y = 1
Together x = -1 and y = 1 pair up to form the ordered pair solution (x,y) = (-1,1)
If you were to graph y = 2x+3 and 2x+5y=3 on the same xy grid, then you should see that the two lines intersect at the location (-1,1). This is a visual way to determine the solution quickly through use of a graphing calculator.
If you would like to know the value of the 2.9% tax, you can calculate this using the following steps:
2.9% tax of $46 shoes = 2.9% * 46 = 2.9/100 * 46 = $1.334
If you would like to know what is the whole price you have to pay for the shoes (including the tax), you have to add $46 and $1.334:
$46 + $1.334 = $47.334
The Lagrangian is
It has critical points where the first order derivatives vanish:
From the first two equations we get
Then
At these critical points, we have
(maximum)
(minimum)
Answer:
3/7
Step-by-step explanation:
The probability of at least is 1 - the probability of at most
P(at least x) = 1 - P(at most x)
The given is:
1. A bus arrives at a bus stop every 35 minutes
2. You arrive at the bus stop at a random time
3. You will have to wait at least 20 minutes for the bus
∵ The bus arrives at a bus stop every 35 minutes
∵ You arrive at the bus stop at a random time
∵ You will wait at most for 20 minutes for the bus
∴ P(at most 20 minutes) =
∵ P(at least 20 minutes) = 1 - P(at most 20 minutes)
∴ P(at least 20 minutes) = 1 -
∴ P(at least 20 minutes) =
- Simplify the fraction by divide up and down by 5 and you will get your answer!
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Answer:
115
Step-by-step explanation:
180-50=130
130/2=65
180-65=115
