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Katena32 [7]
3 years ago
9

Solve and SHOW YOUR WORK for the equation 3(4x – 2) = 9 + 2x + 5

Mathematics
2 answers:
Rufina [12.5K]3 years ago
6 0
I wrote how to do it on paper and uploaded the files. Hope this helps. :D

enot [183]3 years ago
3 0
Remember
you can do anyting to an equaiton as long as you do it to both sidess

distributive property
a(b+c)=ab+ac
commutativ property
a+b=b+a

distribute
3(4x-2)=12x-6

12x-6=9+2x+5
add 6 both sides
12x+6-6=9+6+5+2x
12x+0=20+2x
minus 2x
10x=20
divide 10
x=2
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Please help!
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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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3 years ago
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Answer:

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Step-by-step explanation:

All you have to do is take the number of hours times the amount of money per hour ( so like the equation would look like y=5x) and since the 45 minutes isn't a full hour it shouldn't matter. Just in case though we'll consider the 45 minutes and make it a .7 and multiply that by 5 as well and we get 3.5. Now we just take 5*6+3.5 and bang.

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3 years ago
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