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loris [4]
3 years ago
5

Grouping x5-3x4+5x-15

Mathematics
1 answer:
kiruha [24]3 years ago
8 0
The idea of factoring by grouping is to pull out something from each set of 2 terms so that what is left over inside the parenthesis is "like" between both factored sets. Like this: (x^5 - 3x^4) + (5x - 15). From the first set of parenthesis, pull out x^4 leaving (x - 3); from the second set pull out a 5 leaving (x - 3). So now what you have is this: x^4(x - 3) + 5(x - 3). Now factor out the
(x - 3): (x - 3)(x^4 + 5). There!
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Add the following fractions. See the image below
LenKa [72]

Answer:

\dfrac{19}{840}

Step-by-step explanation:

The given fraction is:

\dfrac{1}{168}+\dfrac{3}{180}

We need to solve it.

The LCM of 168 and 180 is 2520.

So,

\dfrac{1}{168}+\dfrac{3}{180}=\dfrac{15+3\cdot14}{2520}\\\\=\dfrac{19}{840}

So, the required answer is equal to \dfrac{19}{840}.

3 0
3 years ago
Lines DE and AB intersect at point C.
lakkis [162]

Answer:

B

Step-by-step explanation:

∠ACE and ∠ECB form a straight angle whose sum = 180°, hence

2x + 2 + 5x + 3 = 180

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25 → C

3 0
3 years ago
What is the value of x?
pantera1 [17]

x=9 because the triangle is equilateral which means every side is equal to 60. When you do the math you get 7x-3=60 which is 7x=63 and 63/7=9

7 0
3 years ago
Read 2 more answers
Judy works at a candy factory that makes Sugar Rush candy bars. She is in charge of quality control and has to make sure each ca
RideAnS [48]

Step-by-step explanation:

1. x = acceptable weight of candy bar

2. |x - 12| ≤ 0.45

3. x - 12 ≤ 0.45, x - 12 ≥ -0.45

x ≤ 12.45, x ≥ 11.55

4. The acceptable weight range for each candy bar is between 11.55 grams and 12.45 grams.

6 0
3 years ago
What is the solution to the inequality X - 5 > 15
Deffense [45]

Answer:

x>20

Step-by-step explanation:

subtract 5 from both sides

7 0
3 years ago
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