Such an equation would be y + 8x = - 25 (standard form) OR y = -8x - 25 (y-intercept form)
Deriving The Answer:
By using the point-slope form of the equation of a line, by knowing the gradient of that line and a point on that line, the equation of this line can be derived.
Now, the point-slope form exists as y - y₁ = m ( x - x₁)
since slope = -8 and the point on the line = (-4 , 7)
Then m = - 8
x₁ = - 4
y₁ = 7
⇒ y - 7 = -8 ( x - (-4))
⇒ y - 7 = -8x - 32
⇒ y + 8x = - 25
Answer:
![4x^2y\sqrt[4]{3y}](https://tex.z-dn.net/?f=%204x%5E2y%5Csqrt%5B4%5D%7B3y%7D%20)
Step-by-step explanation:
![\sqrt[4]{768x^8y^5} =](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B768x%5E8y%5E5%7D%20%3D%20)
![= \sqrt[4]{256 \times 3(x^2)^4y^4y}](https://tex.z-dn.net/?f=%20%3D%20%5Csqrt%5B4%5D%7B256%20%5Ctimes%203%28x%5E2%29%5E4y%5E4y%7D%20)
![= \sqrt[4]{4^4 \times 3(x^2)^4y^4y}](https://tex.z-dn.net/?f=%20%3D%20%5Csqrt%5B4%5D%7B4%5E4%20%5Ctimes%203%28x%5E2%29%5E4y%5E4y%7D%20)
![= 4x^2y\sqrt[4]{3y}](https://tex.z-dn.net/?f=%20%3D%204x%5E2y%5Csqrt%5B4%5D%7B3y%7D%20)
Answer:
a. The phone will be at 92% and the tablet will be at 88%
b. One hour and 15 minutes for both devices to finish charging.
Step-by-step explanation:
For Part A), we can find that Sam's phone battery is increasing by 12% every 10 minutes. By multiplying 12 by 3 (30 minutes) and adding it to the 56% from the first 30 minutes, we get the answer 92%. The tablet charges 12% per every 15 minutes, and one hour has four sets of 15 minutes. So 12 times 4 and then added to 40% gives us 88%.
For Part B), we must calculate how much time it takes before both devices are fully charged. Because it charges at a slower rate and will finish last, we must rely on the rate of the tablet for this question. At a rate of 12% per 15 minutes, Sam's devices would both be fully charged after an hour and 15 minutes. This is because an additional 15 minutes would give the tablet 12% more battery, and 88 + 12 = 100. If you also needed to know when the phone would finish charging by itself, you would find that the phone only needed 8% left to become 100%. The phone charges at 12% per 10 minutes, and 8 is 2/3 of 12. This would mean the phone would need roughly an additional 7 minutes to charge, making for a total of one hour and 7 minutes for the phone.
Hope this helps!
