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krek1111 [17]
2 years ago
14

Expand and simplify (x+2)(x+4)(x+6)

Mathematics
1 answer:
Deffense [45]2 years ago
5 0

Answer:

Multiply the first two binomials: (x+2) & (x+4) using the FOIL method (First, Outer, Inner & Last).

(x+2)(x+4) = x^² + 4x + 2x + 8 = x^² + 6x + 8

Then we multiply the trinomial that we got from the first stage and multiply that by the remaining binomial:

(x^² + 6x + 8) (x + 4)

= x^³ + 4x^² + 6x^² + 24x + 8x + 32

Collect the like terms together to give you:

x^³ + 10x^² + 32x + 32

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If the product of two positive fractions a and b is 15/56, find three pairs of possible values for a and b
Andrews [41]

Answer:

First possible pairs = (3/7)*(5/8) = 15/56

second possible pairs = (3/4)*(5/14) = 15/56

third possible pairs = (1/2)*(15/28) = 15/56

Step-by-step explanation:

According to the question,

a x b = 15/56

three possible pairs will be as follows:

Before proceeding to make possible pairs, we have to know the prime factorization of the numbers -

15 = 1, 3, 5, 15

56 = 1, 2, 4, 7, 8, 14, 28, 56

As we need three possible pairs, we have to check which pairs take us to 15/56. Again, since the fraction is positive, therefore, the fractions will be proper. Therefore, 3/2, or 5/4 will not be counted. Therefore,

First possible pairs = (3/7)*(5/8) = 15/56

second possible pairs = (3/4)*(5/14) = 15/56

third possible pairs = (1/2)*(15/28) = 15/56

fourth possible pairs = (3/8)*(5/7) = 15/56

So, we can get those four possible pairs. Among those, first 3 pairs are different. Therefore, those are possible pairs.

4 0
3 years ago
Choose the correct solution and graph for the inequality.
Y_Kistochka [10]
The answer to question one would be "D" y<-3

For question two the answer would be "C" x<5

Hope that helps!
6 0
3 years ago
Write 0.15 as a fraction in simplest
Morgarella [4.7K]

Answer:

3/20

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Determine the measures of the angles of AMNO if the measures of the angles are in the ratio 2:4:6.
masha68 [24]

Answer:

60,120,180

Step-by-step explanation:

360:(2+4+6)=30

30×2=60

30×4=120

30×6=180

8 0
3 years ago
What is the midpoint of the segment shown below?
AlexFokin [52]

Answer:

C

Step-by-step explanation:

The length of the segment is 7

2-7/2 = -3/2

(1,-3/2)

6 0
3 years ago
Read 2 more answers
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