Y = x + 3/4
x = y - 3/4
swap the variables:-
y = x - 3/4 (answer). Its a.
Answer: 3/5
Step-by-step explanation:
Fist find out how many whites are there and divide it by the total to find the probability.
9/15 simplify it to 3/5
Answer:
Step-by-step explanation:
x- axis is 2 units away
Answer:
All real numbers greater than or equal to -1 and less than or equal to 2
Step-by-step explanation:
Let
A_1 ------> the area of rectangle
A_2 ----> the area of triangle
we know that
![\left|A_1-A_2\right|\le 6](https://tex.z-dn.net/?f=%5Cleft%7CA_1-A_2%5Cright%7C%5Cle%206)
<em>Find out the area of rectangle</em>
![A_1=4(x+2)=(4x+8)\ units^2](https://tex.z-dn.net/?f=A_1%3D4%28x%2B2%29%3D%284x%2B8%29%5C%20units%5E2)
<em>Find out the area of triangle</em>
![A_2=(1/2)(4)(5)=10\ units^2](https://tex.z-dn.net/?f=A_2%3D%281%2F2%29%284%29%285%29%3D10%5C%20units%5E2)
substitute
![\left|(4x+8)-10\right|\le 6](https://tex.z-dn.net/?f=%5Cleft%7C%284x%2B8%29-10%5Cright%7C%5Cle%206)
Simplify
![\left|4x-2\right|\le 6](https://tex.z-dn.net/?f=%5Cleft%7C4x-2%5Cright%7C%5Cle%206)
<em>First case (positive value)</em>
![+(4x-2) \leq 6](https://tex.z-dn.net/?f=%2B%284x-2%29%20%5Cleq%206)
![4x \leq 6+2](https://tex.z-dn.net/?f=4x%20%5Cleq%206%2B2)
![4x \leq 8](https://tex.z-dn.net/?f=4x%20%5Cleq%208)
![x \leq 2](https://tex.z-dn.net/?f=x%20%5Cleq%202)
<em>Second case (negative value)</em>
![-(4x-2) \leq 6](https://tex.z-dn.net/?f=-%284x-2%29%20%5Cleq%206)
Multiply by -1 both sides
![(4x-2) \geq -6](https://tex.z-dn.net/?f=%284x-2%29%20%5Cgeq%20-6)
![(4x \geq -6+2](https://tex.z-dn.net/?f=%284x%20%5Cgeq%20-6%2B2)
![4x \geq -4](https://tex.z-dn.net/?f=4x%20%5Cgeq%20-4)
![x \geq -1](https://tex.z-dn.net/?f=x%20%5Cgeq%20-1)
therefore
The solution for x is the interval -----> [-1,2]
All real numbers greater than or equal to -1 and less than or equal to 2