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Andreas93 [3]
3 years ago
9

How can i solve the following 4x-3=2x+7

Mathematics
2 answers:
Agata [3.3K]3 years ago
8 0

Answer:

x=5

Step-by-step explanation:

4x-3=2x+7

Subtract 2x from each side

4x-2x-3=2x-2x+7

2x -3 = 7

Add 3 to each side

2x-3+3=7+3

2x = 10

Divide by 2

2x/2 =10/2

x = 5

yan [13]3 years ago
6 0

Answer:

x = 5

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.

Add 3 and subtract 2x from both sides of the equation:

4x (-2x) - 3 (+3) = 2x (-2x) + 7 (+3)

4x - 2x = 7 + 3

2x = 10

Next, isolate the x by dividing 2 from both sides of the equation:

(2x)/2 = (10)/2

x = 10/2

x = 5

5 is your answer for x.

~

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3 years ago
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What is a radius of a circle given by the equation x²-2x+8y-47=0
Zolol [24]
First, we are going to rewrite it as a parabola equation.
Rewrite.
8y=-x^2+2x+47
Divide by 8.
y=-\frac{x^2}{8}+\frac{x}{4}+\frac{47}{8}
Factor out coefficient.
y=-\frac{1}{8}\left(x^2-2x\right)+\frac{47}{8}
Then, we are going to convert x into square form.
y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}
Convert the whole expression into square form.
y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}
Simplify.
y=-\frac{1}{8}\left(x-1\right)^2+6
Subtract 6 from both sides.
y-6=-\frac{1}{8}\left(x-1\right)^2
Divide by coefficient.
-8\left(y-6\right)=\left(x-1\right)^2
Rewrite in standard form.
4\left(-2\right)\left(y-6\right)=\left(x-1\right)^2

The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive. 
Have a nice day! :)
7 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 26 cm. The rectangle has a length of 8 cm. What is the width of the rectangle?
zvonat [6]

Answer:

A. 2(8)+2(w)=26

B. 16+2w=26

Subtract 16 from both sides of the equation

2w=10

Divide both side by 2

The width is 5

Step-by-step explanation:

3 0
3 years ago
An ice cream truck that plays loud music is circling Bulans neighborhood. C(t) models the volume of the music in dB that Bulan h
ELEN [110]

Answer:

  5.5 minutes

Step-by-step explanation:

Fill in the given information and solve for t.

  75 = -15cos(2πt/15) +65

  -10/15 = cos(2πt/15)

  t = 15/(2π)arccos(-2/3) ≈ 5.492

The volume reaches 75 dB about 5.5 minutes after the truck arrives.

8 0
3 years ago
What’s the perimeter?
uysha [10]

Answer:

answer 60,40 i think

Step-by-step explanation:

the perimiter is the outside of an object, when finding the perimiter you add the suroundding together, when it comes to area you multiply

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