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Alex73 [517]
3 years ago
5

Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below. 3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5

|=0.5 0.5x+1.5=0.5 0.5x=−1 x=−2 What is the other solution to the equation? x=−6 x=−4 x=2 x=4
Mathematics
2 answers:
adoni [48]3 years ago
5 0

Answer:

x = - 4

Step-by-step explanation:

Given

3 - 2 |0.5x + 1.5 | = 2 ( subtract 3 from both sides )

- 2 |0.5x + 1.5 | = - 1 ( divide both sides by - 2 )

|0.5x + 1.5 | = 0.5

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, thus

0.5x + 1.5 = 0.5 ( subtract 1.5 from both sides )

0.5x = - 1 ( divide both sides by 0.5 )

x = - 2 ← solution Manuela obtained

OR

-(0.5x + 1.5) = 0.5 ← distribute parenthesis on left side by - 1

- 0.5x - 1.5 = 0.5 ( add 1.5 to both sides )

- 0.5x = 2 ( divide both sides by - 0.5 )

x = - 4 ← other solution to the equation

maria [59]3 years ago
4 0

Answer:

b on edg

Step-by-step explanation:

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A cone has a 4 radius and a 8 height what is the volume
Marta_Voda [28]

Hey there! I'm happy to help!

To find the volume of a cone, you multiply the base by the height and then divide by three.

First, we need to find the base. A cone has a circle for the base. To find the area of a circle, we square the radius and multiply it by pi (we will use 3.14).

4²=16

16×3.14= 50.24

Now, we multiply our base by the height.

50.24×8=401.92

Finally, we divide by three.

401.92÷3≈133.973 (to nearest thousandth)

Therefore, the volume of the cone is about 133.973 units cubed. If you were to use exact pi, it would be more like 134 because of all those decimals after pi!

Now you can find the volume of cones!

I hope that this helps! Have a wonderful day!

8 0
3 years ago
Find the complex zeros of x^3+27. write f in factored form
aliina [53]
x^3+27=0
\\x^3+3^3=0
\\(x+3)(x^2-3x+9)=0
\\x^2-3x+9=0
\\a=1,b=-3,c=9
\\
\\x_{1,2}= \frac{-b\pm \sqrt{b^2-4ac} }{2a} = \frac{-(-3)\pm \sqrt{(-3)^2-4\times1\times9} }{2\times1} =\frac{3\pm \sqrt{-27} }{2} =\frac{3\pm 3\sqrt{3}i }{2} 
\\
\\(x+3)(x-\frac{3+ 3\sqrt{3}i }{2})(x-\frac{3- 3\sqrt{3}i }{2})=0


4 0
3 years ago
What is the volume of a cylinder with a diameter of 10 meters and a height of 8 meters? Use 3.14
Pachacha [2.7K]
Answer 20 I just did that question
5 0
3 years ago
I’m confused on this answer anyone know it?
slamgirl [31]

Answer:

y=\frac{26}{7},\:x=-\frac{15}{7}

Step-by-step explanation:

\begin{bmatrix}4x+5y=10\\ -2x+y=8\end{bmatrix}\\\\\begin{bmatrix}-2\cdot \frac{10-5y}{4}+y=8\end{bmatrix}\\\\

-5+\frac{7y}{2}=8\\\\\mathrm{Multiply\:both\:sides\:by\:}2\\-5\cdot \:2+\frac{7y}{2}\cdot \:2=8\cdot \:2\\-10+7y=16\\y=\frac{26}{7}\\

\mathrm{For\:}x=\frac{10-5y}{4}\\\mathrm{Subsititute\:}y=\frac{26}{7}\\x=\frac{10-5\cdot \frac{26}{7}}{4}\\\\

x=-\frac{15}{7}\\

7 0
3 years ago
Find the height of the flagpole and feet is it cast a 18 ft Shadow and the 5-foot 11-inch Man cast a 3-foot shadow. Round your a
omeli [17]

Answer:

  36 ft

Step-by-step explanation:

The pole's shadow is 6 times the length of the man's shadow, so the pole is 6 times as high as the man.

  6 × 5'11" = 30'66" = 35'6" ≈ 36 ft

5 0
3 years ago
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