All categories

4 years ago

Simplify 4n 5 + 3.5n 5 + (-2.1n 5).

Mathematics

2 answers:

Mars2501 [29]4 years ago

8 0

Answer:

$5.4n^5$

Step-by-step explanation:

Given:

Expression, $4n^5+3.5n^5+(-2.1)n^5$

Simplify the given polynomial.

$\Rightarrow 4n^5+3.5n^5+(-2.1)n^5$

Sign rule: (+)(-) = -

$\Rightarrow 4n^5+3.5n^5-2.1n^5$

Each term has variable n with degree 5.

Combine the coefficients of variable.

$\Rightarrow (4+3.5-2.1)n^5$

$\Rightarrow 5.4n^5$

Hence, The simplest form of polynomial is 5.4n⁵

lyudmila [28]4 years ago

3 0

4n 5 + 3.5n 5 - 2.1n 5 = n 5 (4 + 3.5 - 2.1) = n 5 * 5.4 = 5.4n 5

You might be interested in

AKRAM LEFT A WEALTH OF RS 780000. HIS HEIR IS A WIDOW 3 SONS AND 4 DAUGHTERS CALCULATE THE SHARE OF EACH ONE IF THE FUNERAL EXPE

zepelin [54]

Answer:

87,500

Step-by-step explanation:

Given :

Total wealth = 780000

Number of heirs = 8

Funeral cost = 30000

Loan = 50000

Net Wealth left : (780000 - (30000 + 50000))

= 780000 - 80000

= 700000

Amount shared:

700000 / 8

= 87,500

7 0

3 years ago

On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.

kotegsom [21]

The measures of Angles Y, and Z on the map where, all numbered streets run parallel to each other is 75 and 105 degrees respectively.

<h3>What are angles formed by transverse?</h3>

Angles formed by the transverse line cut by the transversal-

Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse.
Alternate interior angle- This angle made inside the parallel lines cut by the transversal.
Alternate exterior angle- This angle made outside the parallel lines cut by the transversal.
Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.

In the given map, all numbered streets run parallel to each other. Here, both 3rd and 4th streets are intersected by King Avenue.

Here, the delivery driver is driving around town and has noticed that every time he turns, it creates an angle.

The angle y is the angle whose measure is 75 degree are the corresponding angle. Therefore, they must be equal as,

$m\angle y=75^o$

Hence, the measure of angle y is 75 degrees.

The angle y angle z are the supplementary angle, made on the same line. Therefore,

$m\angle y+m\angle z=180^o\\75+m\angle z=180\\m\angle z=180-75\\m\angle z=105$

Hence, the measures of Angles Y, and Z on the map where, all numbered streets run parallel to each other are 75 and 105 degrees respectively.

Learn more about angles formed by transverse line here;

brainly.com/question/13207832

4 0

3 years ago

Read 2 more answers

The function f(x) = x is translated using the rule (x, y) - (x - 6, y + 9) to create A(x).

anyanavicka [17]

It seems the correct function you need to mention is f(x) = sqrt x

so, I am assuming $f(x) = \sqrt{x}$ and will solve the question based on it.

Answer:

Check the explanation

Step-by-step explanation:

Given the function

$f(x) = \sqrt{x}$

As the function is translated according to the rule

(x, y) → (x - 6, y + 9)

Translation of the function $f(x) = \sqrt{x}$ 6 units to the left will bring the function

$g(x) = \sqrt{x+6}$

Translation of the function $g(x) = \sqrt{x+6}$ 9 units up will bring the function

$A\left(x\right)=\sqrt{x+6}+9$

Determining the range of $A\left(x\right)=\sqrt{x+6}+9$

As we know that the range is the set of dependent values for which the function is defined.

$\mathrm{The\:range\:of\:an\:radical\:function\:of\:the\:form}\:c\sqrt{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k$

$k=9$

$f\left(x\right)\ge \:9$

$\mathrm{Range\:of\:}\sqrt{x+6}+9:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}$