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elena55 [62]
3 years ago
14

Factor 6x4 - 5x2 + 12x2 – 10 by grouping. What is the resulting expression? O (6x + 5)(x2 - 2) O (6x - 5)(x2 + 2) (6x2 + 5)(x -

2) (6x2 - 5)(x2 + 2) ​
Mathematics
2 answers:
Shtirlitz [24]3 years ago
8 0

Answer:

6x4 - 5x2 + 12x2 – 10 simplified is =6x^4+7x^2−10

6x4 - 5x2 + 12x2 – 10  factored is =(6x2−5)(x2+2)

Step-by-step explanation:

brainliest please?

Mila [183]3 years ago
6 0

Answer:

(6x^{2} - 5)(x^{2} +2)

Step-by-step explanation:

Always arrange in descending powers first.  In this case that is already done.

Try grouping the first two terms and the last two terms first

(6x^{4} - 5x^{2} ) + (12x^{2}  - 10)   Factor out the GCF of both groups

x^{2} (6x^{2}  - 5) + 2(6x^{2} - 5)\\     Note that 6x^{2} - 5 is a factor in each group. That's    

                                           good

Now treat 6x^{2} - 5 as a GCF and you get

(6x^{2} - 5)(x^{2} +2)

Since  6x^{2} - 5  and  x^{2} +2  are both prime, we are finished.  

You can check to see if you are correct by FOILing the answer you got.  OK?

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How many pounds of candy that cells for $0.66 per Ib must be mixed with candy that sells for $1.31 per Ib to obtain 9 Ib of a mi
faltersainse [42]

Answer:  \frac{306}{65} pounds

Step-by-step explanation:

Let x pounds of $ 0.66 per lb candies mixed with y pounds of $ 1.31 per lb candies to obtain 9 lb of $ 0.97 per lb candies,

Hence, we can write,

x + y = 9 ------- (1)

And, 0.66 of x + 1.31 of y = 0.97 of (x + y)

⇒ 66 x + 131 y = 97 (x+y)

⇒ 66 x +131 y - 97 x - 97 y = 0

⇒ -31 x + 34 y = 0  ------(2)

By solving equation (1) and (2)

We get,

x=\frac{306}{65} and y=\frac{279}{65}

Hence, the quantity of 0.66 per lb candies = \frac{306}{65}  pounds

7 0
3 years ago
Find the product of (x + 5)2
tatuchka [14]
You distribute the problem as shown;
2(x+5) 2 times x+2 times 5=2x+10
The answer is 2x+10!
5 0
3 years ago
The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,
Stella [2.4K]

Answer:

P_4 = 7604.08

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

P_1 = P_0 + 0.04P_0

Where P_0 is the initial population and P_n is the population in year n

In year 2

P_2 = P_1 + 0.04P_1

It can also be written as:

P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)

Taking out common factor P_0

P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)

Taking out common factor (1 + 0.04)

P_2 = (1 + 0.04) (P_0 + 0.04P_0)

Taking out again common factor P_0

P_2 = (1 + 0.04) (1 + 0.04) P_0

Simplifying

P_2 = P_0 (1 + 0.04) ^ 2


So

P_n = P_0 (1 + 0.04) ^ n

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08

3 0
3 years ago
What is the measure of angle BJL
Harrizon [31]
Its f ok i hope it helps
6 0
3 years ago
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Y divided by 9 equals 81
algol [13]
If you do 81 x 9 which equals 729. If you want to check, you do 729 divided by 9 and you get 81.
5 0
3 years ago
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