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umka21 [38]
2 years ago
7

What is the value of x|5x + 6| + 6 = x​

Mathematics
1 answer:
zimovet [89]2 years ago
3 0

Answer:

Step-by-step explanation:

absolute(5x + 6) = x

There are 2 solutions to this

Solution 1

5x + 6 = x                    Subtract 5x from both sides.

5x - 5x + 6 = x - 5x

6 = - 4x                       Divide by - 4

6/ - 4  = -4x / -4

x = - 1.5

Solution 2

5x + 6 = - x

6 = -x - 5x

6 = - 6x

x = 6/-6

x = - 1

Here is a graph which shows the solutions.

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According to an article in Newsweek, the rate of water pollution in China is more than twice that measured in the US and more th
jeyben [28]

Answer:

(a) 0.119

(b) 0.1699

Solution:

As per the question:

Mean of the emission, \mu = 11.7 million ponds/day

Standard deviation, \sigma = 2.8 million ponds/day

Now,

(a) The probability for the water pollution to be at least 15 million pounds/day:

P(X\geq 15) = P(\frac{X - /mu}{\sigma} \geq \frac{15 - 11.7}{2.8})

P(X\geq 15) = P(Z \geq 1.178)

P(X\geq 15) = 1 - P(Z < 1.178)

Using the Z score table:

P(X\geq 15) = 1 - 0.881 = 0.119

The required probability is 0.119

(b) The probability when the water pollution is in between 6.2 and 9.3 million pounds/day:

P(6.2 < X < 9.3) = P(\frac{6.2 - 11.7}{2.8} < \frac{X - \mu}{\sigma} < \frac{9.3 - 11.7}{2.8})

P(6.2 < X < 9.3) = P(- 1.96 < Z < - 0.86)

P(6.2 < X < 9.3) = P(- 1.96 < Z < - 0.86)

P(Z < - 0.86) - P(Z < - 1.96)

Now, using teh Z score table:

0.1949 - 0.025 = 0.1699

4 0
3 years ago
Find x - 3y if x = 3 and y= -2
Feliz [49]
X-3y, x=3, y=-2
(3)-3(-2)
(3)+(3*2)
3+6=9
4 0
3 years ago
The number of students taking classes at RSM Branch A is 1
juin [17]

Answer:

B = 1320

A= \dfrac54B

Step-by-step explanation:

Let A = number of students at Branch A

Let B = number of students at Branch B

If the number of students taking classes at Branch A is 1/4 more than Branch B, then:

      A=1 \dfrac14B

\implies A= \dfrac54B

If Branch A has 1,650 students, then substitute A = 1650 and solve for B:

\implies 1650= \dfrac54B

\implies 1650 \times 4= 5B

\implies 6600 =5B

\implies B=\dfrac{6600}{5}

\implies B=1320

6 0
2 years ago
Read 2 more answers
Help me with this question
Alona [7]

Answer:

A

Step-by-step explanation:

The opposite of 6 IS -6

5 0
2 years ago
A rectangular solid and a cube are of equal volume. If the rectangular solid is 20 centimeters long, 5 centimeters wide, and 10
abruzzese [7]

Answer:

10 centimeters.

Step-by-step explanation:

First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.

The volume of the first equals:

Volume = Length x Width x Height

While the volume of the cube is:

Volume = a^{3} where a is the edge.

We are given the measures of the rectangular solid so we can calculate its volume:

Volume= (20)(5)(10)=1000 cubic cms.

Now, we know that  both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.

1000=a^3 \\\sqrt[3]{1000} =\sqrt[3]{a^3} \\10=a

Thus the length of an edge of the cube is 10 centimeters

5 0
3 years ago
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