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2 years ago

Solve the equation 2x^2-x=1

2 answers:

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]2 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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A cruise ship is traveling south going approximately 22 mph when it hits the Gulf Stream flowing east at 4 mph. Which expression

alexira [117]

<h2>Hello!</h2>

The answer is:

The correct option is

a) $Resultant=\sqrt{22^{2} +4^{2} }$

Since a right triangle is formed, we can calculate the resultant force using the Pythagorean Theorem which states that:

$c=\sqrt{a^{2}+b^{2}}$

Where,

c, is the hypothenuse.

a, is one triangle leg.

b, is the other triangle leg.

So, we are given the information:

$a=22mph$

$b=4mph$

So, calculating the resultant force (hypothenuse), we have:

$Resultant=\sqrt{22^{2} +4^{2} }$

Hence, the expression that would find the result velocity is:

a) [tex]Resultant=\sqrt{22^{2} +4^{2} }[/tex]

Have a nice day!

4 0

3 years ago

{(24p – 66) = 3p + 43

Alenkinab [10]

$\text {Hello! Let's Solve this Equation!}$

$\text {\underline {The First Step is to Subtract 3p}}$

$\text {24p-66-3p=3p+43-3p}$

$\text {Your New Problem Is: 21p-66=43}$

$\text {\underline {The Next Step Is to Add 66}}$

$\text {21p-66+66=43+66}$

$\text {Your New Problem Is: 21p=109}$

$\text {\underline {The Final Step is to Divide 21}}$

$\text {21p/21=109/21}$

$\text {Your Answer Would Be:}$

$\fbox {p=109/21}$

$\text {Best of Luck!}$

5 0

3 years ago

Differentiate f(x)= square root of x times sin x

zysi [14]

Hello,

$y= \sqrt{ x*sin(x) } \\

y'= \dfrac{sin(x)+x*cos(x)}{2 \sqrt{x*sin(x)} }$

3 0

2 years ago

Read 2 more answers

22. What is the average rate of change over the interval (-3, 2)? SEE EXAMPLES

ivann1987 [24]

The average rate of change over the interval (-3, 2) is 1

<h3>Average rate of change</h3>

The average rate of change of a function, graph, table or ordered pair is simply the slope of the relation

<h3>Interval</h3>

The interval is given as: (-3,2)

From the graph, we have:

f(-3) = -5
f(2) = 0

So, the average rate over these intervals is calculated as:

$m = \frac{f(b) - f(a)}{b -a}$

This gives

$m = \frac{f(-3) - f(2)}{-3 -2}$

Substitute known values

$m = \frac{-5- 0}{-3 -2}$

Simplify

$m = \frac{-5}{-5}\\\\$

$m =1$

Hence, the average rate of change is 1

Read more about average rate of change at:

brainly.com/question/8728504

4 0

2 years ago

Which expression is irrational?

Mrrafil [7]

Answer:

$\sqrt{50}$

Step-by-step explanation:

An irrational number is a number that isn't a whole number (integer).

$\sqrt{50}$ = 7.07

$\sqrt{1}$ = 1

$\sqrt{25$ = 5

$\sqrt{9}$ = 3

The first one is the only one that isn't an integer. So it is the answer.

8 0

3 years ago

Read 2 more answers