Answer:
x = 0.343
Step-by-step explanation:
We want to solve:
5 - 3tan(3x) = 0
such that:
-π< x < π
where π = 3.14
then:
-3.14 < x < 3.14
Let's solve the equation:
5 - 3tan(3x) = 0
-3tan(3x) = -5
tan(3x) = -5/-3 = 5/3
Now we can use the inverse tan function, Atan(x).
Remember that:
Atan( tan(x) ) = tan( Atan(x)) = x
Then if we apply that function to both sides, we get:
Atan( tan(3x)) = Atan(5/3)
3x = Atan(5/3)
x = Atan(5/3)/3 = 0.343
(5, 3) (-6, 3)
The slope is 0 Slope = m = (Y2<span> -Y</span>1<span>) </span>÷<span> (X</span>2<span> -X</span>1<span>) (Y2 -Y1)=0
SO, the distance is just the difference in the x values.
distance = 5 --6 = 11
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Let, number of children are x and number of adult are y.
Total number of seats, T = 180.
x + y = 180 ....1)
Tickets to a 3D movie cost $12.50 for adults and $8.50 for children.
So, total amount :
8.5x + 12.5y = A
8.5x + 12.5y = 1826 ....2)
Solving equation 1) and 2) , we get :
8.5x + 12.5( 180 - x ) = 1826
8.5x - 12.5x + 2250 = 1826
-4x = -424
x = 106
y = 180 - 106 = 74
Therefore, the number of adult tickets and the number of children's tickets that were sold are 74 and 106.
Hence, this is the required solution.
Answer: 6.00 + 3.60x
Step-by-step explanation:
Regular coffee= 2.00 each
Letters= 3.50 each
Samantha buys 3 regular coffees and x letters.
To get the total amount she spends at the coffee shop, we multiply each quantity bought by the price. Therefore, total amount will be:
= (2.00×3) + (3.50×x)
= 6.00 + 3.50x
The expression for the amount spent at the coffee shop is 6.00+3.50x
Answer:
x = -1, y= -5
Step-by-step explanation:
y=-x-6
y=x-4
Since both equations are equal to y we can set them equal to each other
-x-6 = x-4
Add x to each side
-x-6+x = x-4+x
-6 = 2x-4
Add 4 to each side
-6+4 = 2x-4+4
-2 =2x
Divide by 2
-2/2 = 2x/2
-1 = x
now find y
y = x-4
y = -1-4
y = -5
