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Nitella [24]
3 years ago
9

Multiply the binomials: (2c - d) (3c + d)

Mathematics
1 answer:
slega [8]3 years ago
3 0

Answer:

6c^2-cd-d^2

Step-by-step explanation:

How you get the answer is you use the process called FOIL. The F is front, so you multiply the 2c and the 3c to get 6c^2. The O is the outer, so you multiply the 2c and the d(because they are on the outer sides of the parenthesis) to get 2cd. The I is the inner, so you multiply the -d and the 3c(because they are on the inner sides of the parenthesis) to get -3cd. The L is the last, so you multiply d and -d to get -d^2. The 2cd and the -3cd are the same so you have to minus them to get -cd. So the answer is:

6c^2-cd-d^2.

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Find the explicit formula for the sequence? -1,4,-16,64......
Ede4ka [16]

The explicit formula for given sequence is: a_n = -1 . (-4)^{n-1}

Step-by-step explanation:

Given sequence is:

-1,4,-16,64.....

We can see that there is no same difference between consecutive terms so we will find common ratio to see if it is a geometric sequence.

Here

a_1 = -1\\a_2 = 4\\a_3 = -16\\a_4 = 64\\r = \frac{a_2}{a_1} = \frac{4}{-1} = -4\\r = \frac{a_3}{a_2} = \frac{-16}{4} = -4

The explicit formula for geometric sequence is:

a_n = a_1r^{n-1}

Putting the values of r and a1

a_n = -1 . (-4)^{n-1}

Hence

The explicit formula for given sequence is: a_n = -1 . (-4)^{n-1}

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

  • brainly.com/question/4767370
  • brainly.com/question/4770453

#learnwithBrainly

5 0
3 years ago
Tanya needs to buy chocolate bars for all the children in year 7. Each of the 130 children get one chocolate bar. There are 8 ch
Sedaia [141]

Answer:

17 packets

Step-by-step explanation:

So Tanya needs 130 chocolate bars.

But there is 8 in each packet.

So,

130 ÷ 8 = 16.25

16 packets

As you can see, there is a quarter left of chocolates that she needs (0.25). So what she can do is buy 1 more packet then give the quarter of that packet to the children.

So 16 + 1 = 17 packets

4 0
2 years ago
Read 2 more answers
Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. A 6% tax is added by the waitress. If Mrs. Rodriguez wants to l
Elis [28]

Answer:

30.53

Step-by-step explanation:

24 x 1.06 = 24.44 (6% tax added to 24)

24.44 x 1.20 = 30.53 (20% tip added on top)

6 0
3 years ago
Read 2 more answers
Hello,
balu736 [363]

Answer:

yesss it makes sense!!!!!!!!!!!

6 0
2 years ago
Calculate the simple interest earned on an investment of $26,000 at 8% p.a. Over 3 years.
Annette [7]
I=prt
I=26,000×0.08×3
I=6,240
6 0
3 years ago
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