2x^2 + 108 = 42x NEED HELP SOLVING QUADRATIC EQUATION

Answers

Answer 1
Answer:

Answer:

x = 18

x = 3

Step-by-step explanation:

2x² - 42x + 108 = 0

common factor is two, so take it out to simplify equation

2 (x² - 21x + 54) = 0

0/2 = 0

x² - 21x + 54 = 0

Factors of 54 which add up to 21 is 18 and 3

(x - 18)(x - 3) = 0

Hence,

x = 18

x = 3


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Quadrilateral A’B’C’D’ is the image of quadrilateral ABCD under a translation.A translation by ____ units to the _right/left_ and ____ units _up/down_.

Answers

A translation by 2 units to the right and 5 units down

If I score 13 out of 24 in a test , what percentage is this ?

Answers

13/24 would be 54% which is a D- (a fail)
the answer is 54% that is a fail.

Three-fifths of the passengers on a cruise are female. Half of the female passengers and one-third of the male passengers are Canadian. What fraction of the passengers are Canadian?

Answers

x-all\ passangers\n\n(1)/(2)\cdot(3)/(5)x+(1)/(3)\cdot(2)/(5)x=\n\n(3)/(10)x+(2)/(15)x=\n\n(9)/(30)x+(4)/(30) x=\n\n(13)/(30)x\n\nCanadian\ are\ (13)/(30)\ of\ all\ passangers.

Rathan thinks all factors of even numbers are even. Which explains whether Rathan is correct? He is correct because the product of 2 and any number is even.
He is correct because the product of two even numbers is even.
He is incorrect because the product of an even number and an odd number is even.
He is incorrect because the product of two odd numbers is odd

Answers

The answer to this would be C, the third of the options. This is the only response that fully answers the question. For example, two factors of 42 would be 6 and 7, and both are not even, so given the absolute nature of Rathan's belief, there is no exception that can be made to make him correct. I hope this helps, and if it was sufficient to make you understand fully set it to the brainliest answer. Have a nice day! =)

The correct answer is:

He is incorrect because the product of an even number and an odd number is even.  

Explanation:

When you multiply any number by an even number, whether it is even or odd, the product will be even.

This means that an even number can have an odd factor, and Rathan is incorrect.

On Monday, it took Helen 3 hours to do a page of science homework exercises. The next day she did the same number of exercises in 2 hours. If her average rate on Monday was pexercises per hour, what was her average rate the next day, in terms of p?

Answers

p- it is amount of exercises
average= (exercises)/(hour)
Monday average= (p)/(3h)
Tuesday average= (p)/(2h)
If we take into account both days and calculate average from Monday and Tuesday ( we sum 3h on Monday and 2 hours on Tuesday and p exercises on Mon and p exercises on Tuesday):
Monday and Tuesday average=(2p)/(5)

Point \[Q'\] is the image of
\[Q(-4,7)\] under a translation by
\[4\] units to the right and
\[2\] units down.
What are the coordinate

Answers

Answer:

(0,5)

Step-by-step explanation:

Move down 2 and move right 5.