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3 years ago

State the degree of the polynomial -4x^4

Mathematics

1 answer:

Tanzania [10]3 years ago

4 0

The highest power of the variable in the polynomial is 4. Therefore, the degree of the polynomial is 4.

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State all POSSIBLE rational zeros of the function f(x) = 3x^7 - 4x + 4.

chubhunter [2.5K]

Answer:

$\pm 1, \pm 2,\pm 4, \pm\dfrac{1}{3},\pm\dfrac{2}{3}, \pm\dfrac{4}{3}$

Step-by-step explanation:

The given function is

$f(x)=3x^7-4x+4$

We need to find all POSSIBLE rational zeros of the function f(x).

According to rational root theorem, all possible rational zeros of a polynomial are

$x=\frac{p}{q}$

where, p is factors of constant and q is factors of leading term.

In the given function constant is 4 and leading term is 3.

Factors of 4 are ±1, ±2, ±4.

Factors of 3 are ±1, ±3.

All POSSIBLE rational zeros of the function f(x).

$\pm 1, \pm 2,\pm 4, \pm\dfrac{1}{3},\pm\dfrac{2}{3}, \pm\dfrac{4}{3}$ .

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3 years ago

A food delivery driver is 4 3/4 miles west of a city's library when he receives a call to pick up food from a restaurant. The re

alukav5142 [94]

He will turn around and go straight

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3 years ago

−3=34r+2 What is the solution to the equation? <br>Last question!!!!

Delvig [45]

-6.8=r is the answer I go I hope it helps

4 0

4 years ago

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To boost the growth of a crop, a farmer decided to use different combinations of three fertilizers, A, B, and C. The first combi

Dvinal [7]

Answer:

The answer is explained below

Step-by-step explanation:

Let x be the price of fertilizer A, y be the price of fertilizer B, and z be the price of fertilizer C

The first combination costs $384 and consists of 6 liters of fertilizer A, 5 liters of fertilizer B, and 3 liters of fertilizer C. The first combination is given by the equation:

6X + 5Y + 3Z = 384

The second combination consists of 10 liters of A, 2 liters of B, and 6 liters of C, and it costs $516. The second combination is given by the equation:

10X + 2Y + 6Z = 516

The last combination consists of 4 liters of A, 8 liters of B, and 2 liters of C, with a cost of $368. The last combination is given by the equation:

4X + 8Y + 2Z = 368

In Matrix form it can be represented as:

$\left[\begin{array}{ccc}6&5&3\\10&2&6\\4&8&2\end{array}\right]\left[\begin{array}{c}X\\Y\\Z\end{array}\right]=\left[\begin{array}{c}384\\516\\368\end{array}\right]$

$\left[\begin{array}{c}X\\Y\\Z\end{array}\right]=\left[\begin{array}{ccc}6&5&3\\10&2&6\\4&8&2\end{array}\right]^{-1}\left[\begin{array}{c}384\\516\\368\end{array}\right]\\\\\left[\begin{array}{c}X\\Y\\Z\end{array}\right]=\left[\begin{array}{ccc}1.5714&-0.5&-0.857\\-0.142&0&0.2142\\-2.571&1&1.3571\end{array}\right]\left[\begin{array}{c}384\\516\\368\end{array}\right]\\\\\left[\begin{array}{c}X\\Y\\Z\end{array}\right]=\left[\begin{array}{c}30\\24\\28\end{array}\right]$

Therefore:

X = $30, Y = $24, Z = $28

The price of fertilizer A = $30 per liter, The price of fertilizer B = $24 per liter and The price of fertilizer c = $28 per liter

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3 years ago

If u see this pls view my chann el its called rockingmycoolstyle15 its on y t

zysi [14]

Answer:

okay i will quickly subscribe

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3 years ago

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