kayla and her best friend christina go shopping. the function p(t) = 2x4 + 6x3 − 3x2 + 24 represents how much money each girl spent based on the number of hours they were shopping. if kayla and christina each go shopping for 2 hours, how much money did they spend together?
a.) $44
b.) $88
c.) $92
d.) $184

184 dollars

step-by-step explanation:

represents how much money each girl spent based on the number of x hours she went shopping.

so we need to replace x with 2.   if we do find p(2), this is only how much one girl spent, but the other girl spent the same amount.   so we will just take our answer and multiply it by 2 (double it).

replacing the x with 2:

evaluating the exponents first:

doing the multiplication next:

now it is just addition/subtraction:

so one girl spent 92 dollars and so did the other girl. so together they spend 92+92=184 dollars.

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3

i got 86 for this

hope this !

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