I need help on this one please

Determine if the expression r - 5√r+r² is a polynomial or not. If it is a

rewona [7]

The expression r - 5√r+r² is a polynomial.

<h3>What is a polynomial?</h3>

Mathematical expressions called polynomials have one variable and many exponents.

The algebraic expression must have all of its exponents be non-negative integers in order for it to be a polynomial. As a general rule, an algebraic expression isn't a polynomial if it contains a radical.

No part of an algebraic expression should be - Variables' square roots. variable powers that are fractional. variable powers that are negative. variables in any fraction's denominator.

Exponents, variables, and constants make up a polynomial. The amount of terms a polynomial has determines its name.

Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.

The idea of the graph of a polynomial equation was first introduced by René Descartes in La géometrie, published in 1637.

To learn more about polynomial refer to:

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8 0

5 months ago

Read 2 more answers

3x - 7y = -40 3x - 2y = -4

eimsori [14]

Answer:

What are you solving for?

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Quadrilateral ABCD ABCD is similar to quadrilateral EFGH EFGH. The lengths of the three longest sides in quadrilateral ABCD ABCD

Kay [80]

Sketch the two quadrilaterals and label them as shown in the figure below.

Let x = length of the 4th side of ABCD.

Because ABCD ~ EFGH, therefore
x/5 = 14/6

That is,
x = (5/6)*14 = 11.67 ft

Answer: D. 11.7 ft

5 0

3 years ago

Suppose you need to get the dent in your car fixed. You see the ads in the newspaper above (mikes repair shop $100 service charg

Norma-Jean [14]

Answer:

Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295, so I will take the car to Amy's shop

Point of intersection: (x,y) = (4,360)

Explanation:

Part 1 )

Let x = number of hours worked

Let y = total cost to you

Determining where to take the car:

Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295

Mike's repair shop:

Service fee: $100

Per hour rate: $65

Let x is the number of hours worked on. Total cost will be equal to the service fee plus hourly charges. Charges per an hour are $65, so for x hours the charges will be 65x.

Therefore, total cost for Amy's repair shop can be written as:

y = 100 + 65x ------(1)

For 3 hours work: y = 100 + 65(3)

Cost at Mike's, y = $100 + $195 = $295

Amy's repair shop: 

Service fee: $40

Per hour rate: $80

Charges per an hour are $40, so for x hours the charges will be 80x.

Therefore, total cost for Amy's repair shop can be written as:

y = 40 + 80x ------(2)

For 3 hours work: x = 3

y = 40 + 80(3)

Cost at Amy's, y = $40 + $240 = $280

Part 2)

Find the point of intersection

Using elimination method:

y = 100 + 65 x ------1

y = 40 + 80x ------2

As the y coefficients are equal we will subtract eq1 from eq2

y - y = 40 + 80x - 100 - 65x

0 = -60 + 15x

60 = 15x

x = $\frac{60}{4}$

x = 4

put x = 4 in eq 1

we get y = 100 + 65 (4) = 100 + 260 = 360

x = 4, y = 360

Point of intersection: (x,y) = (4,360)

8 0

2 years ago

PLEASE HELP

antiseptic1488 [7]

Answer:

2.Ellipse

Step-by-step explanation:

The given equation represents an ellipse.

Standard form of ellipse is given as:

$\frac{x^2}{a^2} +\frac{y^2}{b^2} = 1\\\\\implies \frac{x^2}{16} - \frac{y^2}{4} = 1\\$

3 0

2 years ago