Answer:
Step-by-step explanation:
![R.H.S=1+\frac{1}{x^3+8} =\frac{x^3+8+1}{x^3+8} =\frac{x^3+9}{x^3+8} =L.H.S](https://tex.z-dn.net/?f=R.H.S%3D1%2B%5Cfrac%7B1%7D%7Bx%5E3%2B8%7D%20%3D%5Cfrac%7Bx%5E3%2B8%2B1%7D%7Bx%5E3%2B8%7D%20%3D%5Cfrac%7Bx%5E3%2B9%7D%7Bx%5E3%2B8%7D%20%3DL.H.S)
It would be -1
The lowest x value would move to the higher one. If you need help on the steps or don't get it, I can explain it to you.
B^=L^ es lo mismo solo debes de voltear la figura y verás los mismo valores y ocupas congruencias de valores
Answer:
Step-by-step explanation:
15r + 10p = 35.50
p = r + 0.20
15r + 10(r + 0.20) = 35.50
15r + 10r + 2 = 35.50
25r = 35.50 - 2
25r = 33.50
r = 33.50 / 25
r = 1.34 <===== regular is 1.34 per gallon
p = r + 0.20
p = 1.34 + 0.20
p = 1.54 <==== premium is 1.54 per gallon
9514 1404 393
Answer:
(i) k = 1
(ii) 4/7
(iii) arctan(4/7) ≈ 29.7°
Step-by-step explanation:
(i) A graph of the given points is helpful. It shows us the slope of AB is ...
mAB = rise/run = 2/1 = 2
so the slope of BC must be the opposite reciprocal, -1/2.
Point C is 6-2 = 4 units to the right of point B, so will be (-1/2)(4) = -2 units from point B in the vertical direction. That is, ...
k = 3 -2
k = 1
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(ii) The gradient of AC is found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (1 -(-3))/(6 -(-1))
mAC = 4/7
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(iii) The angle that line AC makes with the +x axis is the arctangent of the slope:
arctan(4/7) ≈ 29.7° . . . angle between AC and +x axis