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tangare [24]
3 years ago
10

Write an equivalent expression for (3m - 6)(8m2 - 40m - 5).​

Mathematics
1 answer:
ycow [4]3 years ago
4 0

Answer:

24m3−168m2+225m+30

Step-by-step explanation:

(3m+−6)(8m2+−40m+−5)

=(3m)(8m2)+(3m)(−40m)+(3m)(−5)+(−6)(8m2)+(−6)(−40m)+(−6)(−5)

=24m3−120m2−15m−48m2+240m+30

=24m3−168m2+225m+30

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How do you solve this equation: -2m+3=|15+m|
Elden [556K]

Any number inside the modulus sign becomes positive. This means |15+m|=|-(15+m)|=|-15-m| and so we have,

-2m+3=|15+m| \Rightarrow \left \Big\{ {{-2m+3=15+m} \atop{-2m+3=-15-m}} \right

Solving these gives us

-2m+3=15+m \Rightarrow m=-4

-2m+3=-15-m \Rightarrow = m=18

However if we check the second solution in the original equation we obtain -2(18)+3=|15+18| \Rightarrow -33=33. This is false and so m=18 can't be a solution.

Therefore the only solution is m=-4.

(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)

8 0
3 years ago
Soft 2 1/3 - 3/4 equals
Sergeu [11.5K]

Answer:

1 7/12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In a 5 km race, Anna swims 450 m, then runs 800 m. She then cycles the rest of the race. How many kilometres does she cycle?
Umnica [9.8K]
5km = 5000 meters
450m+800m= 1250m
5000m-1250m= 3,750m
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6 0
3 years ago
What is the least common multiple (lcm)of 2,3, and 6
laiz [17]
<h3>Answer:  6</h3>

Explanation:

List list the multiples of each value

  • multiples of 2 = {2, 4, 6, 8, 10, ...}
  • multiples of 3 = {3, 6, 9, 12, 15, ...}
  • multiples of 6 = {6, 12, 18, 24, ...}

In each list, we see 6 show up. This is the smallest multiple that is in common; therefore, the LCM is 6

Side note: The LCM is useful to help add and subtract fractions.

5 0
2 years ago
A day-care center has 2 baskets of dolls. One basket has 8 dolls, and the other basket has an unknown number of dolls in it. Wha
xenn [34]

Answer:

d+8

Step-by-step explanation:

Let d represent number of dolls in 2nd basket.

We have been given that a day-care center has 2 baskets of dolls. One basket has 8 dolls, and the other basket has an unknown number of dolls in it. We are asked to represent this situation in an expression.

The number in both baskets would be equal to dolls in 1st basket plus dolls in 2nd basket.

We can represent this information in an expression as:

d+8

Therefore, our required expression would be d+8, where d represents number of dolls in 2nd basket.

3 0
3 years ago
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