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Mrac [35]
3 years ago
9

What is the number that represents X in 12x + 5 = 8x + 21?

Mathematics
2 answers:
iren [92.7K]3 years ago
7 0
I hope this helps you



12x-8x=21-5


4x=16


x=4
mariarad [96]3 years ago
6 0
X is equal to 4 because:
-
Step 1: 12*4+5
Step 2: 48+5=53
This is the answer for the first equation, next, you find the answer to the next equation.
Step 3: 8*4+21
Step 4: 32+21=53
-
53 is equal to 53, therefore x=4.
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Divide the following polynomials (a4 + 4b4) ÷ (a2 - 2ab + 2b2)
telo118 [61]
(a^4 + 4b^4) ÷ (a^2 - 2ab + 2b^2)
= [(a^2 - 2ab + 2b^2) (a^2 + 2ab + 2b^2)] / (a^2 - 2ab + 2b^2)
= a^2+2ab+2b^2 =The answer

(a + b)^2 = a^2 + 2ab + b^2 => square of sums
(a - b)^2 = a^2 - 2ab + b^2 => square of deference
and of course one of most important ones:
a^2 - b^2 = (a - b)(a + b) => difference of squares
Best Answer: (a^4 + 4b^4) ÷ (a^2 - 2ab + 2b^2)
= [(a^2 - 2ab + 2b^2) (a^2 + 2ab + 2b^2)] / (a^2 - 2ab + 2b^2)
= a^2 + 2ab + 2b^2
a^4 + 4b^4 => i.e. 4a^2b^2 ,
a^4 + 4a^2b^2 + 4b^4 => a^2 + 2ab + b^2 = (a + b)^2, if : a = a^2 , b = 2b^2:
(a^2 + 2b^2)^2 = a^4 + 4a^2b^2 + 4b^4 => We can't add or subtract the value to the expression.
a^4 + 4a^2b^2 + 4b^4 - 4a^2b^2 =>
(a^2 + 2b^2)^2 - 4a^2b^2 =>
(a^2 + 2b^2 - 2ab)(a^2 + 2b^2 + 2ab) =>
(a^2 - 2ab + 2b^2) (a^2 + 2ab + 2b^2)

Greetings!


8 0
3 years ago
Read 2 more answers
One T-Shirt is sold for every 5 people who attend a concert what is one way to write the unit rate in words
professor190 [17]

It can be written as: 1 T-Shirt per 5 people

If you have any further questions feel free to ask.

Hope this helps.

5 0
3 years ago
Read 2 more answers
……………………868685758584984444
nydimaria [60]
???444489485857586868........................
7 0
2 years ago
Read 2 more answers
Which pairs make the equation x-9y=12 true
Serggg [28]

Answer:

(12,0), (3, -1) (0,-4/3)

Step-by-step explanation:

To do this problem, you have to plug in the x and y values. For example, the first one would be 12-9(0)=12, and so on.

6 0
3 years ago
Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (Round all an
Lorico [155]

Answer:

P(Z < 2.37) = 0.9911.

Step-by-step explanation:

We are given that Let z denote a random variable that has a standard normal distribution.

Let Z = a random variable

So, Z ~ Standard Normal(0, 1)

As we know that the standard normal distribution has a mean of 0 and variance equal to 1.

                          Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean = 0

           \sigma = standard deviation = 1

Now, the probability that z has a value less than 2.37 is given by = P(Z < 2.37)

        P(Z < 2.37) = P(Z < \frac{2.37-0}{1} ) = P(Z < 2.37) = 0.9911

The above probability is calculated by looking at the value of x = 2.37 in the z table which has an area of 0.9911.

4 0
3 years ago
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