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vesna_86 [32]
3 years ago
11

a store sign reads "Take 75% of the original price when you take an additional 15% off the sale price, which is 60% off the orig

inal price." Is the stores sign accurate?
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

Answer:

The new price is 66% off the original not 75% off

Step-by-step explanation:

Let x be the original price

First take 60 percent off

x - x*60% = new price

x- .60x = .40x

The new price is .40x

Then take 15 % off

(.40x) - (.40x)*15%

.40x - .40x*.15

.40x - .06x

.34x

100 -.34 =.66

The new price is 66% off the original not 75% off

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Step-by-step explanation:

We know the definition of both functions: f(x)=3x-2, and g(x)=x^2+1

A) In order to evaluate what f(g(-1)) is, let's first investigate what g(-1) is using the definition for this function:

g(x)=x^2+1\\g(-1)=(-1)^2+1\\g(-1)=1+1\\g(-1)=2

Now let's find what f(2) is using f(x) definition: f(x)=3x-2\\f(2)=3(2)-2\\f(2)=6-2\\f(2)=4

B) In order to evaluate what g(f(3)) is, let's first investigate what f(3) is using the definition for this function:

f(x)=3x-2\\f(3)=3(3)-2\\f(3)=9-2\\f(3)=7

Now let's find what g(7) is using the definition for this function:

g(x)=x^2+1\\g(7)=(7)^2+1\\g(7)=49+1\\g(7)=50

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