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2 years ago

17

Factor the polynomial 4x4 – 20x2 – 3x2 + 15 by grouping. What is the resulting expression? (4x2 + 3)(x2 – 5) (4x2 – 3)(x2 – 5) (

4x2 – 5)(x2 + 3) (4x2 + 5)(x2 – 3)

1 answer:

mylen [45]2 years ago

9 0

And
(16x4-9)(x2-5)2 (16x4-25)(x4-9)

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A small manufacturer constructs refrigerators. The fixed monthly cost is $200,000, and it costs $450 to produce one refrigerator

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Answer: Horizontal asymptote of c(x) is 450.

Step-by-step explanation:

Since we have given that

Cost to produce one refrigerator = $450

Fixed monthly cost = $200,000

So, Average cost function to produce x refrigerators is given by

$c(x)=\dfrac{200000+450x}{x}$

Horizontal asymptote of c(x) would be

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The denominator of a certain fraction was 147 greater than its numerator. what was the denominator of this fraction, if after th

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After reducing the fraction it becomes equal to 5/12. Let the common element which was cancelled out be x. So we can say the original fraction was $\frac{5x}{12x}$ .

The denominator of the fraction is 147 greater than the numerator. We can write it as:

12x = 147 + 5x

12x - 5x = 147

7x = 147

x = 21

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Disney held a breakfast for parents and their children to eat with Mickey mouse. adult tickets cost $17.95 and children's ticket

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Answer:

The number of children attending = 324

The number of adults attending = 176.

Step-by-step explanation:

Here, the total number of people attending = 500

Let us assume the umber of children attending the breakfast = m

So, the number of adults attending the breakfast = 500 - m

Cost of ticket for each children = $12.95

So, the cost of m children's tickets = m x ( Cost of 1 children ticket)

= m x ( $12.95) = 12.95 m .... (1)

Cost of ticket for each adult = $17.95

So, the cost of (500 -m) adults's tickets

= (500 - m) x ( Cost of 1 adult ticket) = (500 -m) x ( $17.95)

= 8,975 - 17.95 m .... (2)

Now, the total earnings from the total ticket sold = $7355

So, The earning from ( Adult's + children's tickets) = $7355

⇒ 12.95 m + 8,975 - 17.95 m = $7355

or, - 5 m = 7355 - 8975 = -1620

or, m = 1620/5 = 324

⇒ m =324

Hence the number of children attending = m = 324

The number of adults attending = 500 - m = 500 - 324 = 176.

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