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Rufina [12.5K]
3 years ago
7

Solve 3/2 + 1/2x =2x

Mathematics
2 answers:
kvv77 [185]3 years ago
7 0

Answer:

x=1

Step-by-step explanation:

Ganezh [65]3 years ago
4 0

Answer: x=1,\:x=-\frac{1}{4}

Step-by-step explanation:

\frac{3}{2}+\frac{1}{2x}=2x

\frac{3}{2}\cdot \:2x+\frac{1}{2x}\cdot \:2x=2x\cdot \:2x

3x+1=4x^2

x=1,\:x=-\frac{1}{4}

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PLEASE HELP
nekit [7.7K]

Answer:

y= -(1/3)x -r

Step-by-step explanation:

a perpendicular line has the slope of the line that it's perpendicular but its the negative reciprocal of it. So for ex: line 1 = 2x then the line perpendicular to it is -1/2x.

In this case, the slope is 3x. The line perpendicular to it therefore, should be -1/3x.

The problem states the line has the same y-intercept so it has to still be -r.

So the equation of the line perpendicular to y=3x-r with the same y-intercept is y=-(1/3)x -r

4 0
3 years ago
you make a necklace using blue, purple and green beads in a ratio of 1:1:2. you use a total of 168 beads. How many green beads a
vesna_86 [32]
The answer is 84 green beads.

To get that you need to do 168 divide by 4 (four because I look at it like this 1:1:2 is like 1:1:1:1) That answer is 4 then double that and you get 84.
3 0
3 years ago
Read 2 more answers
How do I factor x^4-5x^2+6?
Vilka [71]

Answer:

=(x^2-3)(x^2-2)

Step-by-step explanation:

So we have the expression:

x^4-5x^2+6

And we wish to factor it.

First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:

=u^2-5u+6

This is a technique called quadratic u-substitution. Now, we can factor in this form.

We can use the numbers -3 and -2. So:

=u^2-2u-3u+6

For the first two terms, factor out a u.

For the last two terms, factor out a -3. So:

=u(u-2)-3(u-2)

Grouping:

=(u-3)(u-2)

Now, substitute back the x² for u:

=(x^2-3)(x^2-2)

And this is the simplest form.

And we're done!

3 0
3 years ago
Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sods in pieces that are 1 1/3 yards long
Ne4ueva [31]

We are given

Jim's backyard:

Length is

L=15\frac{5}{6} =\frac{95}{6} yards

width is

W=10\frac{2}{5} =\frac{52}{5} yards

Since, this is rectangle

so, we can find area of rectangle

A=L*W

A=(\frac{95}{6})*(\frac{52}{5})

A=\frac{494}{3} yard^2

Area of one sod:

length is

l=1\frac{1}{3} =\frac{4}{3} yards

width is

w=1\frac{1}{3} =\frac{4}{3} yards

Since, it is rectangle in shape

so,

Area=l*w

A=\frac{4}{3}*\frac{4}{3}

A=\frac{16}{9}yard^2

Number of pieces of sod:

we can use formula

Number of pieces of sod = (area of Jim's backyard)/(area of one sod)

N=\frac{\frac{494}{3} }{\frac{16}{9} }

now, we can simplify it

N=\frac{741}{8} pieces need ..............Answer

7 0
3 years ago
4(-4x - 3) > 36 with the steps
Sergeu [11.5K]

Answer:

x < -3

Step-by-step explanation:

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

−4x−3> 36/4

​Divide 36 by 4 to get 9.

−4x−3>9

Add 3 to both sides.

−4x>9+3

Add 9 and 3 to get 12.

−4x>12

Divide both sides by −4. Since −4 is negative, the inequality direction is changed.

x< 12/-4

​ Divide 12 by −4 to get −3.

x < -3

5 0
2 years ago
Read 2 more answers
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