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3 years ago

If a polynomial function f(x) has roots 3 and square root of 7 what must also be a root of f(x)?

Mathematics

2 answers:

Whitepunk [10]3 years ago

8 0

Answer:

$-\sqrt{7}$

A is correct.

Step-by-step explanation:

A polynomial function f(x) has root $3\text{ and }\sqrt{7}$ .

3 is a real number.

$\sqrt{7}$ is an irrational number.

The zeros or root of the function always occurs in conjugate pair.

Conjugate pair: A root has two form one positive and one negative.

e.g: $a+\sqrt{b},a-\sqrt{b}$

For the given function f(x), $\sqrt{7}$ should be in conjugate pair.

One more possible root would be $-\sqrt{7}$

Hence, the one root must be negative of root of 7

yuradex [85]3 years ago

6 0

Whenever you have a root of sqrt #, you must have the matching - (or positive).
This is because when you take a square root you get two solutions a positive and a negative.
The answer is LETTER A

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Diego is building a kitchen table and a coffee table. The legs of a kitchen table must be twice the height of a coffee table and there are 4 legs on each table. He writes the expression 4(2x) + 4(x) to model his building plans. What does 2x represent?

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3 years ago

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2 years ago

Can you have a right triangle where the lengths of the legs are whole numbers and the length of the hypotenuse is 23? Explain.

dezoksy [38]

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2 years ago

Read 2 more answers

Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n= 8 trials, each with

alina1380 [7]

Answer:

0.80589

Step-by-step explanation:

So all of the numbers of correct answers less than 4 are 0,1,2,3

We need to calculate the probability for each separately and then add them together.

To find the probability we have to first find the combination. We know that there’s n=8 trials and that p=0.3. So 1-0.3 gives us 0.7.

The combination formula is: ! / (!(−)!)

So the n would always =8, and the r would be 0,1,2,3. So you would have to calculate it for 0,1,2,3 Separately. This can be done by hand or you can use a simple combinations calculator online.

For 0;

The combination is 1,

1 x 0.3^0 x 0.7^8-0 =

0.057648

For 1;

The combination is 8,

8 x 0.3^1 x 0.7^8-1 =

0.19765

For 2;

The combination is 28

28 x 0.3^2 x 0.7^8-2 =

0.296475

For 3;

The combination is 56

56 x 0.3^3 x 0.7^8-3 =

0.254122

All that’s left is to add these four numbers;

0.057647 + 0.19765 + 0.296475 + 0.254122 = 0.80589

4 0

2 years ago

Use the formula to evaluate the series 1+2+4+8+...a10

valina [46]

Answer:

The sum of the given series is 1023

Step-by-step explanation:

Geometric series states that a series in which a constant ratio is obtained by multiplying the previous term.

Sum of the geometric series is given by:

$S_n = \frac{a(1-r^n)}{1-r}$

where a is the first term and n is the number of term.

Given the series: $1+2+4+8+.................+a_{10}$

This is a geometric series with common ratio(r) = 2

We have to find the sum of the series for 10th term.

⇒ n = 10 and a = 1

then;

$S_n = \frac{1(1-2^{10})}{1-2} =\frac{1-1024}{-1} =\frac{-1023}{-1}=1023$

Therefore, the sum of the given series is 1023

8 0

2 years ago