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vekshin1
3 years ago
5

Determine which expressions are polynomials. Explain your reasoning.

Mathematics
1 answer:
jek_recluse [69]3 years ago
3 0

Answer:

B

Step-by-step explanation:

A polynomial is an expression containing two or more algebraic terms. They are often the sum of several terms containing different powers (exponents) of variables and never contains square roots or division by a variable.

In your case, option A contains square root, thus this expression is not a polynomial. Option C contains division by a variable, thus this is not a polynomial too.

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Compare and contrast the methods you can use to multiply a whole number and a decimal
Troyanec [42]

Answer:

Answer with explanation

When you look at whole numbers , it begin from Zero and has no end , and  decimal ,which is the set of rational numbers and irrational numbers, which came into consideration after whole numbers.

Whole number =0,1,2,3,4,5,6......

Decimal  number = 0.1,0.25,0.325, 0.002000200002000002,..........

→0 × Any Decimal number =0

→ Any other whole number × A decimal number, gives

    Convert that decimal into equivalent fraction,or if irrational number,write it up to three decimal places, and then multiply numerator with Numerator as denominator will remain unchanged to get the required result or multiply the decimal number with the whole number.

For example

→ Whole number × Terminating Decimal

    5 × 0.25

=5 \times \frac{25}{100}\\\\=\frac{125}{100}\\\\=0.25

→Whole number × A non terminating repeating Decimal

2×0.22222222.......

=2 \times \frac{2}{9}\\\\=\frac{4}{9}

= An rational number, that is non terminating repeating decimal.

→→Whole number × An irrational number (A non terminating non repeating Decimal)

5 × √2=5 ×1.414(written to three decimal places)

=7.07(approx)

So, when there is an irrational number , write that decimal up to three decimal places, and then multiply that whole number by that irrational or decimal number to get the result.

3 0
3 years ago
Read 2 more answers
Find the value of each variable in the parallelogram
wlad13 [49]

Answer:

B= 90

C= 80

D= 100

Step-by-step explanation:

So let’s start with the bottom angles.

We know that the adjacent angles in a parallelogram add up to 180° so our equation would be (b-10) + (b+10)=180. So let’s simplify it b and b are both the same variables so we will get 2b and -10 + 10 is 0 so we get the following equation 2b=180.

So now we divide 180 and 2 and we get 90 as b.

So one side will be 100 because of the +10 and the other 90 because of the -10.

Now for the next side.

d+c=180

So we know that b+10 is adjacent to c so 180-100 is 80, so 80 is c.

Now for d.

b-10 is 80 so 180-80 is 100, so d is 100.

7 0
3 years ago
Around the car park, cylindrical concrete bollards are going to go placed .
Llana [10]

Answer:

653.120 cm³

Step-by-step explanation:

diameter/2 = 40 cm = radius

Height = 130 cm

Volume?

Volume = π r² h

= 3,14 . 1600 . 130

= 653.120 cm³


CMIIW

8 0
3 years ago
Read 2 more answers
Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.5
Law Incorporation [45]

kyle works at a donut shop, where a 10oz. cup of coffee costs 95c, a 14 oz. cup of coffee costs $1.15, and a 20oz. cup costs $1.50. during one busy period Kyle served 24 cups of coffee, using 384 ounces of coffee, while collecting a total of $30.60. How many cups of each size did kyle fill.

Let x = no. of 10 oz cups sold

Let y = no. of 14 oz cups sold

Let z = no. of 20 oz cups sold

Equation 1: total number of cups sold:

x + y + z = 24

Equation 2: amt of coffee consumed:

10x + 14y + 20z = 384

Equation 3: total revenue from cups sold

.95x + 1.15y + 1.50z = 30.60

Mult the 1st equation by 20 and subtract the 2nd equation from it:

20x + 20y + 20z = 480

10x + 14y + 20z = 384

------------------------ subtracting eliminates z

10x + 6y = 96; (eq 4)

Mult the 1st equation by 1.5 and subtract the 3rd equation from it:

1.5x + 1.5y + 1.5z = 36.00

.95x + 1.15y+ 1.5z = 30.60

---------------------------subtracting eliminates z again

.55x + .35y = 5.40; (eq 5)

Multiply eq 4 by .055 and subtract from eq 5:

.55x + .35y = 5.40

.55x + .33y = 5.28

--------------------eliminates x

0x + .02y = .12

y = .12/.02

y = 6 ea 14 oz cups sold

Substitute 6 for y for in eq 4

10x + 6(6) = 96

10x = 96 - 36

x = 60/10

x = 6 ea 10 oz cups

That would leave 12 ea 20 oz cups (24 - 6 - 6 = 12)

Check our solutions in eq 2:

10(6) + 14(6) + 20(12) =

60 + 84 + 240 = 384 oz

6 0
3 years ago
What is the greatest possible integer value of x for which square root of √x-5 is an imaginary number
umka21 [38]
The correct answer for this question is 4.

We have to bear in mind that any number  should be less than 5 to make the square root be an imaginary number.
Starting with 4
= square root (4 - 5)
= square root (-1)
= imaginary 

4 0
3 years ago
Read 2 more answers
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