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lesya [120]
3 years ago
15

Determine whether the expression is a polynomial. If it is a polynomial, find the degree

Mathematics
1 answer:
KengaRu [80]3 years ago
7 0

Answer:

hello again !

this isn't classified as a polynomial because polynomials do not contain variables raised to a negative number, such as this, which is raised to -3.

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The roots of 2x^2-3x=4 are a and b. Find the simplest quadratic equation which has roots 1/a and 1/b
Tju [1.3M]
Find the roots

solve
we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
x²-1.5x=2
take 1/2 of linear coeiftn and square it
-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
x-0.75=+/-√2.5625
add 0.75 to both sides
x=0.75+/-√2.5625

the roots are x=0.75+√2.5625 and x=0.75-√2.5625

1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)

if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be
(x-\frac{1}{0.75+\sqrt{2.5625}})(x-\frac{1}{0.75-\sqrt{2.5625}})

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4


x²+0.75x-0.5 is answer
8 0
3 years ago
2 2/5 x 2 = <br><br> 4.8<br> -4.8<br> 8.4<br> -8.4
Zinaida [17]

Answer:

c

Step-by-step explanation:

you have a calculator dont you?

5 0
2 years ago
Read 2 more answers
Select the correct answer. Anna learns in her science class that the human eye blinks an average of 4,200,000 times a year. What
vivado [14]

Answer:

Step-by-step explanation:

A. 4.2E6 because when putting a number into scientific notation, you would want one number in front of the decimal place and then the trailing numbers would follow. The exponent or E stand for how many numbers are after the decimal, which in this case would be 6.  

4,200,000 → 4.2 x 10^6 which is equal to saying 4.2E6

Tip: If the exponent is negative than the decimal would go in the opposite direction. For example:

4,200,000 → 4.2 x 10^-6 would not equal each other because 4.2 x 10^-6 means 0.000004, six numbers would be behind the decimal.

8 0
3 years ago
6x - 2(x + 2) &gt; 2 - 3(x+3)<br><br>Solve the inequality <br><br>plz help ​
Mumz [18]

Answer:

x > -3/7

Step-by-step explanation:

6x - 2(x + 2) > 2 - 3(x + 3)

Distribute the two and three inside the parenthesis.

6x - 2x - 4 > 2 - 3x - 9

Combine like terms.

4x - 4 > -3x - 7

Add 4 to both sides.

4x > -3x - 3

Add 3x to both sides.

7x > -3

Divide both sides by 7.

x > -3/7

7 0
3 years ago
Read 3 more answers
Need help with this question):​
Citrus2011 [14]
I’m not sure maybe someone else will help
3 0
2 years ago
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