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mojhsa [17]
3 years ago
14

Solve the equation 3|2x-1|+2=17

Mathematics
1 answer:
Vsevolod [243]3 years ago
3 0

Answer:

the solutions are {-2, 3}

Step-by-step explanation:

First combine the constants 2 and 17:

3|2x-1|+2=17 => 3|2x - 1| = 15

Next, divide both sides by 3.  We get:

3|2x - 1| = 15 => |2x - 1| = 5

We want to solve for x, so divide all three terms by 2 as follows:

|x - 1/2| = 5/2

This equation has two solutions.  We regard 1/2 as the "center."  The equation tells us that x is either 5/2 greater than this 1/2 or 5/2 smaller:

x = 1/2 + 5/2 = 6/2,  or  x = 3

and:

x = 1/2 - 5/2 = -4/2 = -2

Thus, the solutions are {-2, 3}

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V =96 pi

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V = 1/3 pi (36)8

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2 years ago
What is the y-intercept of the line y=7?
Maru [420]

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3 years ago
The courtyard outside East Middle School is in the shape of a rectangle and half-circle.
Nadya [2.5K]

Answer:

The correct option is the third one counting from the top. (5892 m^2)

Step-by-step explanation:

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A = L*W

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A = pi*(D/2)^2

Where pi = 3.14

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In the image, we can see a rectangle of length L = 100m and width W = 50m

Then the area of the rectangle is:

A = 100m*50m = 5000m^2

And we can see that for the half-circle the diameter is D = 50m

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A = (1/2)*(3.14*(50m/2)^2) = 981.25 m^2

If we add these two areas we get:

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8 0
2 years ago
Solve the system of equations. y=-3x+4 -4x+y=-10​
Angelina_Jolie [31]

Answer:

Step-by-step explanation:

In this particular case we have the following system of equations:

y

=

−

3

x

+

4

[

E

q

.

1

]

x

+

4

y

=

−

6

[

E

q

.

2

]

Substituting

[

E

q

.

1

]

in

[

E

q

.

2

]

:

x

+

4

(

−

3

x

+

4

)

=

−

6

Applying the distributive property on the left side:

x

−

12

x

+

16

=

−

6

Simplifying

:

−

11

x

=

−

22

Solving for

y

:

x

=

−

22

−

11

=

2

Substituting

x

=

2

in

[

E

q

.

1

]

:

y

=

−

3

(

2

)

+

4

=

−

2

Therefore

, the solutions are

x

=

2

and

y

=

−

2

7 0
3 years ago
Read 2 more answers
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