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il63 [147K]
2 years ago
3

A company launches two new products. The market price, in dollars, of the two products after a different number of years, x, is

shown in the following table: Product Function Year 1 (dollars) Year 2 (dollars) Year 3 (dollars) Product 1 g(x) = 2x 2 4 8 Product 2 h(x) = x2 + 12 13 16 21 Based on the data in the table, for which product does the price eventually exceed all others, and why? Product 1, because it has a lower start value Product 2, because it has a greater Year 3 value Product 1, because the function is exponential Product 2, because the function is exponential
Mathematics
1 answer:
olga_2 [115]2 years ago
5 0

Answer:

Product 1, because the function is exponential.

Step-by-step explanation:

If you take set the equation to 9 years. You will see that product one would be 2^9 = 512 and Product 2 would be 9^2 + 12 = 93. Product one will continue to grow exponentially while Product two will not grow as much in comparison.

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How did the gambling habits of chevalier de​ mère help launch the mathematical study of​ probability?
RoseWind [281]
He found early methods to make quick money and also discovered probability.  His work was ground-breaking, though not always correct.  One of his card equations showed a 2/3 chance of winning, but actually only gave 1/5th!
4 0
2 years ago
Factor completely 16x8 − 1.
marta [7]

<u>Given</u>:

The given expression is 16 x^{8}-1

We need to determine the factor of the given expression.

<u>Factor</u>:

Let us rewrite the given expression.

Thus, we have;

\left(4 x^{4}\right)^{2}-1^{2}

Since, the above expression is of the form a^2-b^2, let us apply the identity a^2-b^2=(a+b)(a-b)

Thus, we have;

\left(4 x^{4}+1\right)\left(4 x^{4}-1\right) ------ (1)

Now, we shall factor the term 4x^4-1

4x^4-1=(2x^2)^2-1^2

           =(2x^2+1)(2x^2-1)

Substituting the above expression in equation (1), we have;

\left(4 x^{4}+1\right)\left(2 x^{2}+1\right)(2x^2-1)

Therefore, the factor of the given expression is \left(4 x^{4}+1\right)\left(2 x^{2}+1\right)(2x^2-1)

Hence, Option B is the correct answer.

5 0
2 years ago
Read 2 more answers
3,298,076 in expanded form
LekaFEV [45]
3,000,000+200,000+90,000+8,000+70+6
6 0
2 years ago
Choose the product. -7p 3(4p 2 + 3p - 1)
DIA [1.3K]

Answer:

14p -3

Step-by-step explanation:

-7p 3(4p 2+3p - 1)

3x4= 12p

3x3=9p

12+9= 21

21-7=14p

3x2=6

3x-3=-9

-9 +6= -3

= 14p -3

hope this helps :)

7 0
1 year ago
The percent decrease from 12 to 9 is equal to the percent decrease from 40 to what number
Zina [86]
(12 - 9) / 12 = (40 - x) / 40
3/12 = (40 - x) / 40
40(1/4) = 40 - x
10 = 40 - x
10 - 40 = -x
-30 = -x
30 = x <=== percent decrease from 40 to 30
8 0
2 years ago
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