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NNADVOKAT [17]
2 years ago
5

Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 24x – 35? 2x – 7 2x 7 3x – 7 3x 7

Mathematics
1 answer:
ololo11 [35]2 years ago
7 0

A factor of the polynomial f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35 is 2x - 7

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the polynomial:

f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35

The polynomial can be further simplified to:

f(x) = (2x - 7)(3x³ - 2x + 5)

A factor of the polynomial f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35 is 2x - 7

Find out more on equation at: brainly.com/question/2972832

#SPJ4

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A radioactive substance decreases in the amount of grams by one-third each year. If the starting amount of the
katovenus [111]

Answer:

The sequence is geometric. The recursive formula is a_{n}=2/3a_{n-1}

Step-by-step explanation:

In order to solve this problem, you have to calculate the amount of the substance left after the end of each year to obtain a sequence and then you have to determine if the sequence is arithmetic or geometric.

The substance decreases by one-third each year, therefore:

After 1 year:

1452-\frac{1}{3}(1452)

Using 1452 as a common factor and solving the fraction:

1452(1-\frac{1}{3})=1452(\frac{2}{3})=968

You can notice that in general, after each year the amount of grams is the initial amount of the year multiplied by 2/3

After 2 years:

968(\frac{2}{3})=\frac{1936}{3}

After 3 years:

\frac{1936}{3}(\frac{2}{3})=\frac{3872}{9}

The sequence is:

1452,968,1936/3,3872/9....

In order to determine if the sequence is geometric, you have to calculate the ratio of two consecutive terms and see if the ratio is the same for all two consecutive terms. The ratio is obtained by dividing a term by the previous term.

The sequence is arithmetic if the difference of two consecutive terms is the same for all two consecutive terms.

-Calculating the ratio:

For the first and second terms:

968/1452=2/3

For the second and third terms:

1936/3 ÷ 968 = 2/3

In conclussion, the sequence is geometric because the ratio is common.

The recursive formula of a geometric sequence is given by:

a_{n}=ra_{n-1}

where an is the nth term, r is the common ratio and an-1 is the previous term.

In this case, r=2/3

7 0
3 years ago
In 56 years ,Kevin will be 9 times as old as he is right now.<br><br> How old is he right now?
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Step-by-step explanation:

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3. Use the diagram 2 and 3 are ____ angles 1. complementary 2. vertical 3. right 4. supplementary
Vladimir79 [104]

#3

2 and three are supplementary angles .

#4.

The answer is opposite angles .

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#5

Bisected angles are equal

\\ \sf\longmapsto 5x=3x+10

\\ \sf\longmapsto 5x-3x=10

\\ \sf\longmapsto 2x=10

\\ \sf\longmapsto x=\dfrac{10}{2}

\\ \sf\longmapsto x=5

Now

m<ABC

\\ \sf\longmapsto 5x+3x+10

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Answer:

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Step-by-step explanation:

Given expression is:

(\sqrt[8]{x^7} )^{6}

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So for the given expression:

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Applying the outer exponent now

(x^{\frac{7}{8} })^6

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8 0
2 years ago
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