All categories

2 years ago

Determine the degree of the given polynomial x^2 ( 1 - x^3)

Mathematics

1 answer:

Ray Of Light [21]2 years ago

4 0

Answer:

$\huge\boxed{\bf\:5}$

Step-by-step explanation:

Polynomial = $x^{2} (1 - x^{3})$ .

Before determining the degree of the polynomial, let's open the parentheses using the distributive property .

$x^{2} (1 - x^{3})\\=\underline {x^{2} - x^{5}}$

Degree is the highest exponential power in a polynomial .

So, the degree of the given polynomial is 5.

$\rule{150pt}{2pt}$

You might be interested in

PLSSS HURRY I REALLY NEED THIS

Step2247 [10]

Answer: 1/10

Step-by-step explanation: -2/5+1/2=0.1

If we convert 0.1 into a fraction, it becomes 1/10.

7 0

1 year ago

Read 2 more answers

Find the surface area of a cylinder with a base radius of 2 cm and a height of 8 cm

gtnhenbr [62]

Answer:

82.6cm2

Step-by-step explanation:

$\pi {r}^{2} + \pi {r}^{2} + 2 \pi \: r h$

$\pi = \frac{22}{7}$

radius =2cm

height=8cm

$( \frac{22}{7} \times 2 \times 2 )+ ( \frac{22}{7} \times 2 \times 2) + (2 \times \frac{22}{7} \times 2 \times 8)$

Multiplying the numerators and The whole numbers, we have

$\frac{88}{7} + \frac{88}{7} + \frac{402}{7}$

Since the denominators of the fractions are the same, we add the numerators.

$\frac{88 + 88 + 402}{7} = \frac{578}{7} \\ which \: becomes \\$

$82.57{cm}^{2} = 82.6 {cm}^{2}$

6 0

3 years ago

The isosceles triangle has a base that measures 14 units.

QveST [7]

We know that
The Triangle Inequality Theorem states that the sum of any sides of a triangle must be greater than the measure of the third side
so
Attached photo 1
...
therefore
the answer is
The value of y must be greater than 7
Attached photo 2

5 0

3 years ago

Read 2 more answers

Determine what type of model best fits the given situation: An Internet phone company presently provides service to 5,000 custom

bagirrra123 [75]

Answer:

The best fit is A. Linear model

Step-by-step explanation:

Given:

Monthly Rate = $20, Number of customers = 5000

If there is a decrease of $1 in the monthly rate, the number of customers increase by 500.

To find:

The type of model that best fits the given situation?

Solution:

Monthly Rate = $20, Number of customers = 5000

Let us decrease the monthly rate by $1.

Monthly Rate = $20 - $1 = $19, Number of customers = 5000 + 500 = 5500

Let us decrease the monthly rate by $1 more.

Monthly Rate = $19 - $1 = $18, Number of customers = 5500 + 500 = 6000

Here, we can see that there is a linear change in the number of customers whenever there is decrease in the monthly rate.

We have 2 pair of values here,

x = 20, y = 5000

x = 19, y = 5500

Let us write the equation in slope intercept form:

$y =mx+c$

Slope of a function:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{5500-5000}{19-20}\\\Rightarrow -500$

So, the equation is:

$y =-500x+c$

Putting x = 20, y = 5000:

$5000 =-500\times 20+c\\\Rightarrow c = 5000 +10000 = 15000$

$\Rightarrow \bold{y =-500x+15000}$

Let us check whether (18, 6000) satisfies it.

Putting x = 18:

$-500 \times 18 +15000 = -9000+15000 = 6000$ so, it is true.

So, the answer is:

The best fit is A. Linear model

6 0

4 years ago

Can someone help please

nordsb [41]

First you have to find the last side of it.
P= 182

5 0

3 years ago