So I have 2 answers are b and d u choose I tried my best to help mate
Answer:
x= 11.616043
Simplifies to:
3.162278x−7=2.645751x−1
Step 1: Subtract 2.645751x from both sides.
Step 2: Add 7 to both sides.
Step 3: Divide both sides by 0.516527.
Answer:
0.313
Step-by-step explanation:
The probability of getting one head is 1/2
The favourable outcomes are 5/8
Multiply: 1/2 × 5/8 = 5/16
Convert: 5 ÷ 16 = 0.3125
We need the list of scores first before we can answer :(
Answer:
![y = \frac{1}{2}x - 2](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20-%202)
Step-by-step explanation:
Given lines,
y = 2x - 5,
y = -x + 1
Subtracting these two equations,
0 = 3x - 6
![\implies 3x = 6](https://tex.z-dn.net/?f=%5Cimplies%203x%20%3D%206)
![\implies x = \frac{6}{3}=2](https://tex.z-dn.net/?f=%5Cimplies%20x%20%3D%20%5Cfrac%7B6%7D%7B3%7D%3D2)
By first equation,
![y=2(2) -5=4-5 = -1](https://tex.z-dn.net/?f=y%3D2%282%29%20-5%3D4-5%20%3D%20-1)
Thus, point of intersecting would be (2, -1).
Now, the equation of a line is y = mx + c,
Where,
m = slope of the line,
So, the slope of the line
is 1/2.
∵ two parallel lines have same slope.
Hence,
Equation of the parallel line passes through (2, -1),
![y+1=\frac{1}{2}(x-2)](https://tex.z-dn.net/?f=y%2B1%3D%5Cfrac%7B1%7D%7B2%7D%28x-2%29)
![y+1=\frac{1}{2}x - 1](https://tex.z-dn.net/?f=y%2B1%3D%5Cfrac%7B1%7D%7B2%7Dx%20-%201)
![y = \frac{1}{2}x - 2](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20-%202)