Remark.The easiest way to do this question is to graph it. Start with that.
The red line is y = (1/3)^x
The blue line is y = 5*(1/3)^x
CommentThe red line's y intercept is (0,1)
The blue line's y intercept is (0,5)
WhyIf the x value is 0 then (1/3)^0 = 1
y = (1/3)^0 = 1 * 1 = 1 and for the blue graph
y = 5*(1/3)^0 = 5*1 = 5
In other words, in this set of equations, the 5 makes the y intercept 5 times larger than the 1 in front of y = (1/3)^x
If you have choices, could you please list them? I may be giving you the right answer but not in the form required.
See, pls, the offered explanation:
1. equation for sphere has a form: (x-x₀)²+(y-y₀)²+(z-z₀)²=r², where x₀, y₀ and z₀ are points of center (4;3;6), and r - radius of sphere.
2. according to the task the sphere must be in the 1-t octant and must be the largest, it means that among all the possible radius (4-0=4; 3-0=3; 6-0=6) need to choose the shortest one. r=3.
3. summary: <u>(x-4)²+(y-3)²+(z-6)²=3</u>.
X=0.495 if you are solving for x