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3 years ago

What are the leading coefficient and degree of the polynomial? 3u+12u'-7u* +1

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

6 0

Answer:

See explanation

Step-by-step explanation:

Assuming the given polynomial is

$3u + 12 {u}^{2} - 7 {u}^{3} + 1$

We then rewrite in decreasing powers of u, to get:

$- 7 {u}^{3} + 12 {u}^{2} + 3u + 1$

The leading term is

$- 7 {u}^{3}$

The leading coefficient is the coefficient of the leading term.

The leading coefficient is -7.

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How to write 6.716 im fraction

Varvara68 [4.7K]

Answer:

To write 6.716 as a fraction you have to write 6.716 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

6.716 = 6.716/1 = 67.16/10 = 671.6/100 = 6716/1000

And finally we have:

6.716 as a fraction equals 6716/1000

7 0

3 years ago

What is the square root of 864

skelet666 [1.2K]

There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.

The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.

Find the prime factorization of 864:

$\sqrt{864} = \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3}$

Take any number that is repeated twice in the square root, and move it outside of the root:

$\sqrt{864} = \sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3}$

$\sqrt{2 \cdot 2} = \sqrt{4} = 2$

$\sqrt{3 \cdot 3} = \sqrt{9} = 3$

$\sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3} = \sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3}$

$\sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3} = (2 \cdot 2 \cdot 3) \sqrt{2 \cdot 3} = \boxed{12 \sqrt{6}}$

The simplified form of √864 will be 12√6.

The second method is evaluating the root. Using a calculator, we can find the exact value of √864.

Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.

6 0

3 years ago

What value of x will make ONM similar SRQ by the SAS similarity theorem?

Marta_Voda [28]

Answer:

The correct answer is 25

Step-by-step explanation:

See the attached figure.

SAS similarity theorem mean that when two triangles have corresponding angles are congruent and corresponding sides with identical ratios the triangles are similar.

So, if ΔONM similar ΔSRQ by the SAS similarity theorem

∴∠N = ∠R

And

$\frac{NM}{RQ} =\frac{NO}{RS}$

given that NM = 10 , NO = 8 , QR = x , RS = 20

∴ $\frac{10}{x} =\frac{8}{20}$

∴ $x=\frac{10*20}{8} =25$

So, the value of x will make ONM similar SRQ by the SAS similarity theorem = 25

7 0

2 years ago

Read 2 more answers

Is the expression 3x^2-5x^3 a Polynomial? If yes, what is the degree?

Paraphin [41]

Answer: The answer is: it is a fifth degree binomial or 'quintic binomial'.

Step-by-step explanation:

Is the expression 3x^2-5x^3 a polynomial?

So, we have to know what polynomial means. A polynomial is... "an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables."

So let's take a look at this expression.

Does it consist of variables and coefficients? YES

Does it only involve operations of addition, subtraction, multiplication, and non-negative integer exponents of variables? YES

Therefore, it is a polynomial.

Now, we have to figure out what degree this polynomial is.

The degree of the polynomial is the degree of the monomial with the largest degree.

So the largest degree would be the 3rd degree, because it is, of course, the largest out of the two powers listed.

And also, keep in mind that this is a binomial (made up of two monomials).

Therefore, it is a fifth degree binomial or 'quintic binomial'.

4 0

2 years ago

The mountain climber descended 437.85 feet every hour. What is the change in the climber's elevation after 6 hours?

bogdanovich [222]

The answer should probably be 2627.1 feet

Hope this helps!

7 0

3 years ago

Read 2 more answers