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qaws [65]
2 years ago
12

The original price of a jar of paint is$1.20 the store manager gets a 10 percent discount on orders of at least 50 jars of paint

.How much does the store manager pay fo 50 jars of paint.
Mathematics
1 answer:
sleet_krkn [62]2 years ago
4 0

Answer:

$54

Step-by-step explanation:

50 * $1.20 = $60

Before the discount, 50 jars cost $60.

Since the discount rate is 10%, he will pay only 90% of the price since 100% - 10% = 90%.

90% of $60 =

= 90% * $60

= 0.9 * $60

= $54

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Given r(x) = 11/ (x - 42)
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For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:

g(f(x)) = x = f(g(x))

<u>The restriction is:</u>

x ≠ 4

<u>The inverse is:</u>

y = 4 + \sqrt{\frac{11}{x} }

Here our function is:

f(x) = \frac{11}{(x - 4)^2}

We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.

(x - 4)^2 = 0

x - 4 = 0

x = 4

So the only value of x that we need to remove from the domain is x = 4.

To find the inverse we try with the general form:

g(x) = a + \sqrt{\frac{b}{x} }

Evaluating this in our function we get:

g(f(x)) = a + \sqrt{\frac{b}{f(x)} }  = a + \sqrt{\frac{b*(x - 4)^2}{11 }}\\\\g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4)

Remember that the thing above must be equal to x, so we get:

g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4) = x\\\\{\frac{b}{11 }} = 1\\{\frac{b}{11 }}*4 - a = 0

From the two above equations we find:

b = 11

a = 4

Thus the inverse equation is:

y = 4 + \sqrt{\frac{11}{x} }

If you want to learn more, you can read:

brainly.com/question/10300045

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