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Andre45 [30]
3 years ago
7

Solve the equation 2x^2-x=1

Mathematics
2 answers:
Blababa [14]3 years ago
8 0
First move all terms to the same side.
2x^2-x-1=0
Factor this to get
(2x+1)(x-1)=0
Separate into
2x+1=0 and x-1=0
Solve these two to get
X=-1/2 or x=1
Final answer:
X=-1/2 or x=1
AlladinOne [14]3 years ago
3 0
2x^2-x=1\ \ \ | subtract\ 1\\\\
2x^2-x-1=0\\\\use\ factorization:\\
write\ -x\ as\ x-2x\\\\
2x^2+x-2x-1=0\\\\
x(2x+1)-1(2x-1)=0\\\\
(x-1)(2x+1)=0\\\\
x=1\ \ \ or\ \ \ 2x=-1\\\\
x=1\ \ \ or  \ \ \ x=-\frac{1}{2}
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The total number of pennies on Row 1 is: 1 2 4 8 16 32 64 128 =.
stira [4]

The pennies placed on the squares D, E, F, G, and H will be 8, 16, 32, 64, and 128 pennies.

Given

There are 8 rows and 8 columns, which means 64 squares on a chessboard.

We are placing 1 penny on Row 1 Column A, 2 pennies on Row 1 Column B, 4 pennies on Row 1 Column C, and so on.

<h3>What is the matrix?</h3>

A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

So, we are increasing the number of pennies twice the amount of the previous square.

So, the pennies on next squares will be,

\rm Column \ D = 2\times 4=8\\\\Column \ E = 2\times 9=16\\\\Column \ F= 2\times 16=32\\\\Column \ G= 2\times 32=64\\\\Column \ H = 2\times 64=128

Therefore, the pennies placed on the squares D, E, F, G, and H will be 8, 16, 32, 64, and 128 pennies.

For more details about the matrix refer to the link:

brainly.com/question/4492099

8 0
3 years ago
A, who travels 4 miles an hour starts from a certain place 2 hours in advance of B, who travels 5
irakobra [83]

It will take B 8 hours to travel in order to overtake A.

The relationship among the distance, time and speed can be expressed by using the relation.

\mathbf{speed = \dfrac{distance}{time}}

In this kind of ratio relation, it is pertinent to understand that, the rise in a variable cause a decrease in the other, where the third variable is constant.

Here:

  • as speed (v) rises;
  • time (t) decreases, and
  • distance (d) is constant

From the given relation:

  • Distance = speed × time

So, we can have a table expressing the parameters given in the question as follows:

           v            t            d

A          4            t+2     4t + 8

B          5             t         5t

Equating both distance together, we have:

4t + 8 = 5t

collecting like terms, we have:

4t - 5t = -8

t = 8 hours

Therefore, we can conclude that it will take B 8 hours to travel in order to overtake A.

Learn more about distance, time and speed here:

brainly.com/question/12199398

6 0
2 years ago
Will give brainliest to correct answer.
nirvana33 [79]
Hi!

The answer is no, because the y values have no pattern, nor are they proportional with the x values.

Hope this helps! :)
-Peredhel
3 0
3 years ago
Read 2 more answers
the enrollment at Middle School drop by 168 cents from 2015 to 2019 find the average change in the number of students each year
stepladder [879]

Answer:

42

Step-by-step explanation:

It changes 42 cents each year

8 0
3 years ago
Expand the following:<br> 1/5 (10x-25)
mario62 [17]
<span>This must be your answer:
Expanded: 1/5 x 10x + 1/5 x -25 </span>
3 0
3 years ago
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