To write the polynomial −x^3 + x^4 + x − x^2 in standard form, which term should go first?

Mathematics

1 answer:

Goshia [24]3 years ago

8 0

Answer: OPTION D

Step-by-step explanation:

To express a polynomial in Standard form, you need to see the exponent of each term of the polynomial and then order the polynomial from highest exponent to lowest exponent.

Therefore, for the polynomial $-x^3 + x^4 + x - x^2$ , you can see that the term that thas the highest exponent is x⁴ (The quartic term).

Then, this polynomial written in Standard form is:

$x^4 - x^3 - x^2+x$

Therefore, the term that should go first is: the quartic term.

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The MagicSoft software company has a proposal to the city council of Alva, Florida, to relocate there. The proposal claims that

EleoNora [17]

Answer:

The correct estimate of the amount generated to the local economy is $3,333,333. $\bar3$

Step-by-step explanation:

The amount the expected to be generated for the local economy = $3.3 million

The amount of salaries that will generate $3.3 million = $1 million

The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%

Therefore, we have;

For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞

The sum of a geometric sequence to infinity is given as follows;

$\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}$