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dybincka [34]
3 years ago
12

9a-7-3a+11 Simplify :))

Mathematics
2 answers:
djverab [1.8K]3 years ago
7 0

Answer:x= -6

Step-by-step explanation:

DochEvi [55]3 years ago
6 0
The answer I got was 6a+4

Explanation:

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Factor completely 81x^8-1
marysya [2.9K]

The complete factorized form for the given expression is \left(9 x^{4}+1\right)\left(3 x^{2}+1\right)\left(3 x^{2}-1\right)

<u>Step-by-step explanation:</u>

Step 1: Given expression:

              81 x^{8}-1

Step 2: Trying to factor as a Difference of Squares

Factoring 81 x^{8}-1

As we know the theory that the difference of two perfect squares, A^{2}-B^{2}  can be factored into (A+B) (A-B)

from this, when analysing, 81 is the square of 9, x^{8} is the square of x^{4}. Hence, we can write the given expression as,

            \left(9 x^{4}\right)^{2}-1^{2}

By using the theory, we get

           \left(9 x^{4}+1\right)\left(9 x^{4}-1\right)

Again, we can further factorise the term \left(9 x^{4}-1\right)

9 x^{4} is the square of 3 x^{2}. Therefore, it can be expressed as below

           \left(3 x^{2}+1\right)\left(3 x^{2}-1\right)

Now, we can not factorise further the term \left(3 x^{2}-1\right). Because it will come as \sqrt{3} x (3 is not a square term). Thereby concluding that the complete factorisation for the given expression is \left(9 x^{4}+1\right)\left(3 x^{2}+1\right)\left(3 x^{2}-1\right)

8 0
4 years ago
Mount Kilimanjaro is the highest mountain peak in Africa with an elevation of 19,341 feet. What is the
s344n2d4d5 [400]

Answer:

it is 40

Step-by-step explanation:

because 4 is in the tens place value off  that number so then i think the answer is 40

8 0
3 years ago
Lisa spends part of her year as a member of the gym. She then finds a better deal at another gym, so she cancels her membership
stellarik [79]

Answer:

Number of month in first gym = 7

Number of month in second gym = 5

Step-by-step explanation:

Given:

First gym member ship cost = $75 per month

Second gym member ship cost = $50 per month

Total spending = $775

Computation:

Number of month in first gym = a

Number of month in second gym = b

So

a + b = 12....eq1

75a + 50b = 775 ....eq2

From eq 1 and 2

a = 7 month

b = 5 month

Number of month in first gym = 7

Number of month in second gym = 5

5 0
3 years ago
Consider a hypothesis test of difference of proportions for two independent populations. Suppose random samples produce r1 succe
jenyasd209 [6]

Answer:

Step-by-step explanation:

p_1 = \frac{r_1}{n_1} \\p_2= \frac{r_2}{n_2} \\

Pooled proportion

p = \frac{r_1+r_2}{n_1+n_2}

The hypothesis null would be

H_0: p_1-p_2 =0

Alternate can be either not equal to  or < or > according to need

Std error for difference of proportions

=\sqrt{p(1-p)(\frac{1}{n_1} +\frac{1}{n_2}}

Hence test statistic = p difference/std error

= \frac{\frac{r_1}{n_1}- \frac{r_2}{n_2}}{\sqrt{p(1-p)(\frac{1}{n_1} +\frac{1}{n_2}}}

where p is given as above as combined proportion.

6 0
3 years ago
-1/2(-3y+10) i need help combining like terms to create a equivelent expression
Vaselesa [24]

Answer:

1.5y - 5

Step-by-step explanation:

I used the distributive approach and distributed -1/2 to the -3y and 10.

(If you try this and it's incorrect, you may just need to distribute -1/2 to the 10, creating -3y - 5.)

6 0
3 years ago
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