Describe the set of points in space whose coordinates satisfy the given inequalities or combinations of equations and inequalities. a. 1 x2 + y2 + z2 25
b. x2 + y2 + z2 s25, x 20
A. The solid ball of radius 5 centered at (0,0,0) with the sphere of radius 1 centered at (0,0,0) removed.
B. The sphere of radius 5 centered at (0,0,0) together with the solid ball of radius 1 centered at (0,0,0).
C. The solid ball of radius 5 centered at (0,0,0) with the interior of the solid ball of radius 1 centered at (0,0,0) removed.
D. The sphere of radius 5 centered at (0,0,0) together with the sphere of radius 1 centered at (0,0,0).

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

step-by-step explanation:

yes it represnts a functio, their are not 2 of the same numbers on the both sides

yes

step-by-step explanation:

so of course you want to start by plugging the 5 in which goes to 7(5)+3(5)=50 because 7*5=35 and 3*5=15 and then add them together, then plug in the 5 to the other equation as well 9(5)+5=50 because 9*5= 45 and then add 5 and so yes they are equivalent.

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get