All categories

1 year ago

Perform the indicated operation on thefollowing polynomials: (3x4 - 2 + 8x³) + (7x³-6 +7x4)

Mathematics

1 answer:

pogonyaev1 year ago

6 0

Given:

(3x^4 - 2 + 8x^3 ) + (7x^3 - 6 + 7x^4 )

Add like terms together ( same variables and exponents )

3x^4 + 7x^4 +8x^3 + 7x^3 -2 - 6

10x^4 + 15x^3 - 8

Answer :

10x^4 + 15x^3 - 8

You might be interested in

Pham is saving money to buy new headphones. The headphones cost $200, but she has saved only 45% so far. How much more does Pham

Snezhnost [94]

Answer:

she needs $110

Step-by-step explanation:

Just multiply 200 by 0.45 to get 90 then subtract 90 from 200

4 0

3 years ago

In an interview for a secretary position at the dealer, a typist claims a tying speed of 45 words per minute. On

MAXImum [283]

Using the hypothesis test for one sample mean, There is NO SIGNIFICANT EVIDENCE to support the typist's claim

$H_{0} = 45\\H_{1} < 45\\\\$

The test statistic :

T = (x - μ) ÷ (s/√(n))

T = (43 - 45) ÷ (15/√70)

T = - 2 ÷ 1.7928429

T = -1.1155

At α = 0.05

Pvalue :

Degree of freedom, df = 70 - 1 = 69

Pvalue = 0.134

Decison region :

Reject $H_{0}$ if Pvalue < α

Since Pvalue > α We fail to reject the Null

Learn more : brainly.com/question/20262540

8 0

3 years ago

Expand:<br><img src="https://tex.z-dn.net/?f=f%28z%29%20%3D%20%20%5Cfrac%7B1%7D%7Bz%28z%20-%202%29%7D%20" id="TexFormula1" title

Monica [59]

Expand f(z) into partial fractions:

$\dfrac1{z(z-2)} = \dfrac12 \left(\dfrac1{z-2} - \dfrac1z\right)$

Recall that for |z| < 1, we have the power series

$\displaystyle \frac1{1-z} = \sum_{n=0}^\infty z^n$

Then for |z| > 2, or |1/(z/2)| = |2/z| < 1, we have

$\displaystyle \frac1{z-2} = \frac1z \frac1{1 - \frac2z} = \frac1z \sum_{n=0}^\infty \left(\frac 2z\right)^n = \sum_{n=0}^\infty \frac{2^n}{z^{n+1}}$

So the series expansion of f(z) for |z| > 2 is

$\displaystyle f(z) = \frac12 \left(\sum_{n=0}^\infty \frac{2^n}{z^{n+1}} - \frac1z\right)$

$\displaystyle f(z) = \frac12 \sum_{n=1}^\infty \frac{2^n}{z^{n+1}}$

$\displaystyle f(z) = \sum_{n=1}^\infty \frac{2^{n-1}}{z^{n+1}}$

$\displaystyle \boxed{f(z) = \frac14 \sum_{n=2}^\infty \frac{2^n}{z^n} = \frac1{z^2} + \frac2{z^3} + \frac4{z^4} + \cdots}$

6 0

2 years ago

How are a common denominator and a common multiple alike and different?

grigory [225]

The Common Denominator is the bottom part of a fraction which has been matched to 2 or more fractions. For example 1/2 + 1/4 is easier if you use 2/4 + 1/4 = 3/4. You can also use it for 3/5 + 1 2/3 Becomes 3/5 + 5/3 (Improper fraction) and you change that to 9/15 + 25/15 = 34/15 = 2 4/15

5 0

3 years ago

Read 2 more answers

The new york rangers hockey team won 3/4 of their games last season. if they lost 21 games how many games did they play the enti

navik [9.2K]

They played 84 games

21 times 4 equals 84

6 0

3 years ago