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3 years ago

What is x when the equation is 5|2x+3|=45?

Mathematics

2 answers:

storchak [24]3 years ago

6 0

1.)divide by 5 on each side to obtain
Abs(2x+3)=45
2x+3=45 or 2x+3=-45
2x=42 or 2x=-48
x=21 or x=-24

aliina [53]3 years ago

4 0

5|2x+3|=45

|2x+3|=45/5

|2x+3|=9

Now set up two cases.

2x + 3 = -9 and 2x + 3 = 9

Solve each equation for x and then plug your answers back into the original equation given.

The x-value that produces a true statement for the given absolute value equation will be your answer.

Take it from here.

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xz_007 [3.2K]

Answer:

Step-by-step explanation:

To solve this you just set the two equations equal to each other and solve for x

-4x+9= -x+6

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8 0

3 years ago

Point A is at -7, -3. There are 12 points between A and B. What are possible coordinates for point B?

Finger [1]

Answer:

(5,9)

(-19, - 15)

(5, - 15)

(-19, 9)

Step-by-step explanation:

Given that :

Coordinate of point A = - 7, - 3

Number of points between point A and B = 12

Possible coordinate of point B

Possible coordinates of point B:

(-7, - 3) + 12 = (5, 9)

(-7, - 3) - 12 = (-19, - 15)

(-7, - 3) = (-7 +12, -3 - 12) = (5, - 15)

(-7, - 3) = (-7 - 12, - 3 + 12) = (-19, 9)

Hence possible coordinates of be are :

(5,9)

(-19, - 15)

(5, - 15)

(-19, 9)

8 0

3 years ago

In which quadrant will the image FGH lie after a counterclockwise rotation of 1980 degrees? Explain how you made your prediction

Nata [24]

A 360 degrees counter-clockwise rotation will bring the triangle at the same place.

So, divide 1980 by 360 and find the remainder.

On dividing, we can find that

1980 = 5(360) + 180

A 1800 degrees rotation will rotate the triangle 5 times and will bring it in the same place.

A further 180 degrees rotation will rotate the triangle to two quadrants back and will bring it in the first quadrant.

3 0

3 years ago

Find the GCF of the following set of numbers <br> 260, 80, 50

Vinvika [58]

Answer:

Step-by-step explanation:

The factors of 50 are: 1, 2, 5, 10, 25, 50

The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factors of 260 are: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

In all of these numbers, we can see that 10 is common throughout and 10 is also the greatest factor all these numbers share.

Hope this helps you :)

7 0

3 years ago

Read 2 more answers

Please please help!!!! According to the probability distribution below, what is the expected value of X? X 0 1 2 3 4 5 P(X) 0.3

Novay_Z [31]

Answer:

D.) The expected value is 1.78

Step-by-step explanation:

The expected value of a probability distribution is evaluated using the formula.

Expected Value, $E(X)=\sum^{n}_{i=1}x_iP(x_i)$

Therefore, from the given probability distribution, we have:

E(X)=(0*0.3)+(1*0.2)+(2*0.16)+(3*0.2)+(4*0.04)+(5*0.1)

E(X)=1.78

The Expected value of X is 1.78.

The correct option is D.

4 0

3 years ago