Aflorist owns two flower shops. the profit for the month of june at the first location can be represented by the function p(x)=202+21x , where x represents the number of business days that month. the profit for the month of june at the second location can be represented by the function q(x)=17x+173 , where x represents the number of business days that month. which function, r(x), represents the total profit for the two locations during the month of june? r(x)=38x+375 r(x)=194x+219 r(x)=219x+194 r(x)=4x+29

Step-by-step explanation:

Given:

Profit in the month of June from first location is

Profit in the month of June from second location is

Now, total profit from the two locations can be obtained by adding the profits from each of the two locations.

Now, adding both the profits, we get:

Plug in the given values and simplify. This gives,

Now, we need to combine the like terms using commutative property.

Therefore, rearranging the terms, we get:

Therefore, the correct option is the first option.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15