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Dmitry [639]
3 years ago
11

What is the answer and steps to the following equation: 6(4-z)=2z

Mathematics
2 answers:
Rom4ik [11]3 years ago
8 0

Answer:

3

Step-by-step explanation:

Margaret [11]3 years ago
7 0

Answer:

z=3

Step-by-step explanation:

6(4-z)=2z

24-6z=2z

8z=24

8z/8=24/8

z=3    

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Joe paid 14.00 for a board game this is 70% off the original price what is the original price?
soldi70 [24.7K]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that Joe paid 14.00 for a board game this is 70% of the original price what is the original price.

Let the original price of board game be x.

x\times \frac{70}{100}=14

x\times \frac{7}{10}=14

Multiply both sides by 10.

7x=140

Divide both sides by 7.

x=20

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5 0
3 years ago
Please help!
crimeas [40]

Answer:

The zeros are:

x =4, x=2, x = 5

  • The function has three distinct real zeros.

Hence, option (B) is true.

Step-by-step explanation:

Given the expression

h\left(x\right)=\left(x-4\right)^2\left(x^2-7x+\:10\right)

Let us determine the zeros of the function by putting h(x) = 0 and solving the expression

0=\left(x-4\right)^2\left(x^2-7x+10\right)

switch sides

\left(x-4\right)^2\left(x^2-7x+10\right)=0

as

x^2-7x+\:10=\left(x-2\right)\left(x-5\right)

so

\left(x-4\right)^2\left(x-2\right)\left(x-5\right)=0

Using the zero factor principle

  • \mathrm{If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

so

x-4=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0

x =4, x=2, x = 5

Thus, the zeros are:

x =4, x=2, x = 5

It is clear that there are three zeros and all the zeros are distinct real numbers.

Therefore,

  • The function has three distinct real zeros.

Hence, option (B) is true.

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