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2 years ago

Which polynomial is equivalent to 8x3+12x/2x when x≠0?

Mathematics

1 answer:

ANTONII [103]2 years ago

6 0

Answer: look at the picture

Step-by-step explanation: Hope this help :D

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The number pi goes on forever with no repeating pattern; therefore, it is rationa

cricket20 [7]

No
it is irrational for that reason - it goes on without bound

3 0

2 years ago

Diana uses 30 grams of coffee beans to make 48 fluid ounces of coffee. When guests come, she makes 96 fluid ounces of coffee. Ho

Ulleksa [173]

Answer:

60 grams

Step-by-step explanation:

48x2=96

30x2=60

8 0

2 years ago

Read 2 more answers

PLEASE HELP ME! Drag the expressions into the boxes to correctly complete the table.

Kamila [148]

The polynomials are:

$x^4+3x^3-5x^2-7x+20$

$x^3-2x^2+x-12$

$x^2+3x^5-6x+12x^3$

Not a polynomial are:

$4\sqrt[3]{x} -\sqrt{x} -20$

$\frac{5}{x^3}-\frac{1}{x^2}+\frac{8}{x}-40$

$x^{-3}-x^{-2}-6x^{-1}+8$

Solution:

Polynomial is an expression with variables and coefficients,

Which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables

Option 1

$4\sqrt[3]{x} -\sqrt{x} -20$

Polynomial does not include roots

This is not a polynomial equation

Option 2

$x^4+3x^3-5x^2-7x+20$

This is polynomial expression involving addition and subtraction between terms with non-negative integer exponents of variables

Option 3

$\frac{5}{x^3}-\frac{1}{x^2}+\frac{8}{x}-40$

This is not a polynomial. This equations involves negative integer exponents of variables

Option 4

$x^3-2x^2+x-12$

This is a polynomial involving addition and subtraction between terms with non-negative integer exponents of variables

Option 5

$x^{-3}-x^{-2}-6x^{-1}+8$

This is not a polynomial. This equations involves negative integer exponents of variables

Option 6

$x^2+3x^5-6x+12x^3$

This is a polynomial involving addition and subtraction between terms with non-negative integer exponents of variables

5 0

2 years ago

An elliptical culvert is 3.5 feet tall and 6 feet wide. It is filled with water to a depth of 0.95 feet. Find the width of the s

maks197457 [2]

Answer:

$W_s \approx5.3$

Step-by-step explanation:

From the question we are told that

Height $H=3.5ft$

Weight $W= 6ft$

Depth $D=0.95ft$

Generally the equation for ellipses is given as

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

Where

$b=H/2\\b=3.5/2\\Therefore\\b=1.75\\a=W/2\\a=6/2\\Therefore\\a=3\\$

$\frac{x^2}{3^2} +\frac{y^2}{1.75^2} =1$

Generally to find y in the equation $\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

$y=-b+d$

$y=-1.75+0.95$

$y=-0.8$

Therefore

$\frac{x^2}{3^2} +\frac{(0.8)^2}{1.75^2} =1$

$\frac{x^2}{3^2} =1-\frac{(0.8)^2}{1.75^2}$

$\frac{x^2}{3^2} =1-0.2089795918$

$X^2 =3^2(1-0.2089795918)$

$X^2 =7.119183674$

$X =\sqrt{7.119183674}$

$X =2.66817984$

Therefore the width of the given stream is

$W_s=2.66817984*2$

$W_s=5.33635968$

$W_s \approx5.3$

3 0

2 years ago

Math Question :

saw5 [17]

Let x = amount of mortgage (aka the amount by the bank)

25% of the monthly income of $3000 is 0.25*3000 = 750 dollars

So using this rule, the family can pay up to $750 per month on mortgage

1% of the amount loaned (x) is equal to this figure, so

0.01*x = 750
0.01*x/0.01 = 750/0.01
x = 75000

Therefore, the most expensive mortgage this family can afford is $75,000. Anything higher and they go over budget.

7 0

2 years ago