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expeople1 [14]
3 years ago
15

Factor the expression completely: x³ - 3x² - 4x + 12

Mathematics
1 answer:
Olenka [21]3 years ago
7 0
See attached picture for answer:

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Find the sum of the following infinite geometric series, if it exists. ½ + -¼ + ⅛ + -1/16 +...
Dominik [7]
Hmm

each term is multiplied by a constant
1/2 times what=-1/4? that is -1/2
-1/4 times what=1/8? that is -1/2

so r=-1/2

does it converge or diverge?
if it converges, it has an infinite sum
if it diverges, it does not

if |r|<1 then it converges
|-1/2|<1?
1/2<1?
true
it converges and has a sum

the sum of an infinite geometric series is
S_n=\frac{a_1}{1-r} where a1 is the first term and r=common ratio

a1=1/2
r=-1/2

S_{\infty}=\frac{\frac{1}{2}}{1-(\frac{-1}{2})}
S_{\infty}=\frac{\frac{1}{2}}{1+\frac{1}{2}}
S_{\infty}=\frac{\frac{1}{2}}{\frac{3}{2}}
S_{\infty}=(\frac{1}{2})(\frac{2}{3})
S_{\infty}=\frac{2}{6}
S_{\infty}=\frac{1}{3}



the sum is \frac{1}{3}
7 0
3 years ago
What is the value of x? Enter your answer in the box. x=
ss7ja [257]
X= 24 because both side lengths are the same size. So it would be 24. hope it helped.
8 0
3 years ago
Read 2 more answers
The polygons are regular polygons. What is the area of the shaded region to the nearest tenth? (see attachment)
Fynjy0 [20]
Area of shaded region = 2(4*4)=2*16=32 in squared 

hope helped 
8 0
3 years ago
Read 2 more answers
Evaluate 10C4. Type a numerical answer in the space provided. Do not type spaces in your answer.
SOVA2 [1]
10C4 represent the Combinations of 10 objects taken 4 at a time. 

The formula for nCr is:

nCr= \frac{n!}{r!(n-r)!}

In the given case, n=10 and r=4. Using these values we get:

10C4= \frac{10!}{4!(10-4)!} \\  \\ &#10;= \frac{10!}{4!*6!} \\  \\ &#10;=210

This means we can make 210 combinations of 10 objects taken 4 at a time.
4 0
2 years ago
Abdul can type 23 words per minute.
Phantasy [73]

Answer:

1. 1035 words

2. 21.74 min

Step-by-step explanation:

1. 23 words per min × 45min = 1035 words

2. 500 words/ 23 words per min= 21.74 min

8 0
2 years ago
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