Answer:
B. (1,4)
Step-by-step explanation:
you see the x and y coordinate by looking at the numbers (x,y) = (1,4)
Is x =4? if so
4^3-(3+4)^2
=64-(7)^2
=64-49
=15
Answer:
![\huge\boxed{x=0}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7Bx%3D0%7D)
Step-by-step explanation:
![-2(4x+3)=12x-6\qquad\text{divide both sides by (-2)}\\\\4x+3=-6x+3\qquad\text{subtract 3 from both sides}\\\\4x=-6x\qquad\text{add}\ 6x\ \text{to both sides}\\\\10x=0\qquad\text{divide both sides by 10}\\\\\boxed{x=0}\\\\=================================](https://tex.z-dn.net/?f=-2%284x%2B3%29%3D12x-6%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%20%28-2%29%7D%5C%5C%5C%5C4x%2B3%3D-6x%2B3%5Cqquad%5Ctext%7Bsubtract%203%20from%20both%20sides%7D%5C%5C%5C%5C4x%3D-6x%5Cqquad%5Ctext%7Badd%7D%5C%206x%5C%20%5Ctext%7Bto%20both%20sides%7D%5C%5C%5C%5C10x%3D0%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%2010%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D0%7D%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![-2(4x+3)=12x-6\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(-2)(4x)+(-2)(3)=12x-6\\\\-8x-6=12x-6\qquad\text{add 6 to both sides}\\\\-8x=12x\qquad\text{subtract}\ 12x\ \text{from both sides}\\\\-20x=0\qquad\text{divide both sides by}\ (-20)\\\\\boxed{x=0}](https://tex.z-dn.net/?f=-2%284x%2B3%29%3D12x-6%5Cqquad%5Ctext%7Buse%20the%20distributive%20property%7D%5C%20a%28b%2Bc%29%3Dab%2Bac%5C%5C%5C%5C%28-2%29%284x%29%2B%28-2%29%283%29%3D12x-6%5C%5C%5C%5C-8x-6%3D12x-6%5Cqquad%5Ctext%7Badd%206%20to%20both%20sides%7D%5C%5C%5C%5C-8x%3D12x%5Cqquad%5Ctext%7Bsubtract%7D%5C%2012x%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C-20x%3D0%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%7D%5C%20%28-20%29%5C%5C%5C%5C%5Cboxed%7Bx%3D0%7D)
The bicyclist's speed as a rate is 40/3 miles per hour
<h3>How to determine the bicyclist's speed as a rate?</h3>
The given parameters are:
- Distance = 40 miles
- Time = 3 hours
The rate is calculated as:
Rate = Distance/Time
Substitute known values
Rate = 40 miles/3 hours
Rewrite as:
Rate = 40/3 miles per hour
Hence, the bicyclist's speed as a rate is 40/3 miles per hour
Read more about speed and rate at:
brainly.com/question/19493296
#SPJ1