6500 + 125.25t = 5292 + 200.75t
6500 - 5292 = 200.75t - 125.25t
1208 = 75.50t
1208 / 75.50 = t
16 = t
they both charge the same when using 16 tons
they both cost $ 8504
Answer:
![\bold{x=-4\pm\sqrt{46}}](https://tex.z-dn.net/?f=%5Cbold%7Bx%3D-4%5Cpm%5Csqrt%7B46%7D%7D)
Step-by-step explanation:
![(a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}](https://tex.z-dn.net/?f=%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5C%5C%5C%5C%5C%5Cx%5E2%2B8x-30%3D0%5C%5C%5C%5C%5Cunderbrace%7Bx%5E2%2B2%5Ccdot%20x%5Ccdot%204%2B4%5E2%7D-4%5E2-30%3D0%5C%5C%5C%5C%7B%7D%5Cqquad%28x%2B4%29%5E2%5C%2C-%5C%2C16-30%3D0%5C%5C%5C%5C%7B%7D%5Cqquad%5C%20%5C%20%28x%2B4%29%5E2%3D46%5C%5C%5C%5C%20%7B%7D%5Cqquad%5C%20%5C%20x%2B4%3D%5Cpm%5Csqrt%7B46%7D%5C%5C%5C%5C%20%7B%7D%5Cqquad%5C%20%5C%20x%3D-4%5Cpm%5Csqrt%7B46%7D)
Answer:
The value of x and y for the given two linear equation is x = 7 , y = - 3
Step-by-step explanation:
Given two linear equation as :
x + 2 y - 1 = 0
Or, x + 2 y = 1 ..........A
x - 2 y = 13 ............B
Now, Solving both equations A and B
i.e (x + 2 y) + (x - 2 y) = 1 + 13
Or, (x + x) + (2 y - 2 y) = 14
Or, 2 x + 0 = 14
Or, 2 x = 14
∴ x = ![\dfrac{14}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B14%7D%7B2%7D)
i.e x = 7
Now, Put the value of x into eq A
So, 7 + 2 y = 1
Or, 2 y = 1 - 7
Or, 2 y = - 6
∴ y = ![\dfrac{- 6}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B-%206%7D%7B2%7D)
i.e y = - 3
So, The value s of x = 7 and y = - 3
Hence, The value of x and y for the given two linear equation is x = 7 , y = - 3 Answer
Answer:
F= -6x^
Step-by-step explanation:
f(−2)=12x2
Step 1: Divide both sides by -2.
−2f
/−2
= 12x2/-2
f=-6x^2
The cylinder is 11 cubic meters greater than the volume of the cone.