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Veseljchak [2.6K]
3 years ago
12

Please help me factor this!! Thanks!

Mathematics
1 answer:
Goryan [66]3 years ago
5 0
We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4

6 + 4 = 10
6*4 = 24

So we can break up the 10ab into 6ab+4ab and then use factor by grouping

a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)

Therefore, the original expression factors completely to (a+4b)(a+6b)
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What is the value of the product (3 – 2i)(3 + 2i)?
spayn [35]
The question follows the special product rule of polynomials.
(a-b)(a+b) = a^2 - b^2

From the given, (3-2i)(3+2i), then the answer will be 3^2 - (2i)^2
simplifying the answer:
9 - 4i^2

Take note that i = square root of -1
Then, i^2 = -1

So, 9 - (4 * -1)
= 9 - -4
= 13.

So the answer is 13.
7 0
3 years ago
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In a sphere, if the radius is tripled, how much more volume do you have?
lilavasa [31]
If the radius is tripped, the volume will increase by 3^3 = 27 times.

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3 0
3 years ago
Michmoo Computer Company sells computers and computer parts by mail. The company assures its customers that products are mailed
Anastaziya [24]

Answer: (60.858, 69.142)

Step-by-step explanation:

The formula to find the confidence interval for mean :

\overline{x}\pm z_c\dfrac{\sigma}{\sqrt{n}} , where \overline{x} is the sample mean , \sigma is the population standard deviation , n is the sample size and z_c is the two-tailed test value for z.

Let x represents the time taken to mail products for all orders received at the office of this company.

As per given , we have

Confidence level : 95%

n= 62

sample mean : \overline{x}=65 hours

Population standard deviation : \sigma=18 hours

z-value for 93% confidence interval: z_c=1.8119  [using z-value table]

Now, 93% confidence the mean time taken to mail products for all orders received at the office of this company :-

65\pm (1.8119)\dfrac{18}{\sqrt{62}}\\\\ 65\pm4.142\\\\=(65-4.142,\ 65+4.142)\\\\= (60.858,\ 69.142)

Thus , 93% confidence the mean time taken to mail products for all orders received at the office of this company : (60.858, 69.142)

8 0
3 years ago
Solve |8y+4|=2|y-1|<br> please show the work!
Snowcat [4.5K]
8y+4 = 2(y-1)
8y+4 = 2y-2
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3 0
2 years ago
____ is a line that passes through exactly one point on a circle
lapo4ka [179]

Answer:

Radius????????????????

5 0
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