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babunello [35]
3 years ago
6

What is the product of a+3 and -2a2+15a+6b2

Mathematics
2 answers:
vitfil [10]3 years ago
6 0

Answer:

-2a³+ 9a²  + 45a +6ab² +  18b².

Step-by-step explanation:

Given : a+3 and -2a²+15a+6b².

To find : what is the product.

Solution : We have given

(a+3)( -2a²+15a+6b²).

Distributes a over (-2a²+15a+6b²) and 3 over (-2a²+15a+6b²).

a (-2a²+15a+6b²) + 3 ( -2a²+15a+6b²).

-2a³+15a²+6ab² - 6a²+ 45a + 18b².

Combine like terms

-2a³-  6a² + 15a² + 45a +6ab² +  18b².

-2a³+ 9a²  + 45a +6ab² +  18b².

Therefore, -2a³+ 9a²  + 45a +6ab² +  18b².

DaniilM [7]3 years ago
3 0

Answer:

The third option

Step-by-step explanation:

Given

(a + 3)(- 2a² + 15a + 6b²)

Each term in the second factor is multiplied by each term in the first factor, that is

a(- 2a² + 15a + 6b²) + 3(- 2a² + 15a + 6b²) ← distribute both parenthesis

= - 2a³ + 15a² + 6ab² - 6a² + 45a + 18b² ← collect like terms

= - 2a³ + 9a² + 45a + 6ab² + 18b² → C

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Four friends go out to eat and their meal costs $86.50. The sales tax is 6.75% and they tip the waiter 20%. How much should each
Stolb23 [73]

Answer:

$27.41

Step-by-step explanation:

Meal Cost = $86.50

Sales Tax= 6.75% of the Meal Cost

= 6.75% X 86.50

= 0.0675 X 86.50

=$5.84

They tipped the Waiter 20%

20% of 86.50

=0.2 X 86.50

=$17.30

Total Bill= Meal Cost + Sales Tax + Tip

= 86.50 +5.84 + 17.30

=$109.64

Since the friends are four, each one will be expected to pay:

$109.64/4

=$27.41

Each of the friends should pay $27.41 to the nearest cent.

5 0
3 years ago
The opening balance of one of Jennies 30-day billing cycles for her credit card was $1220, and it remained that amount for the f
natima [27]

Answer:

1) 2.71%

2) $38.32

Step-by-step explanation:

Opening balance = $1220

Balance after 10 days (after expense) = $1690

Balance after 10 days(after payment) = $1340

APR = 33%

1) Periodic interest rate = APR × \frac{No. of days in a billing cycle}{365}

                                  =  33%× 30/365

                                  = 2.71%

2) Interest charged for first 10 days = \frac{1220*2.71*\frac{10}{30} }{100}

                                                              = $11.02

Interst charged for the next 10 days = \frac{1690*2.71*\frac{10}{30} }{100}

                                                            = $15.2

Interest charged for the next 10 days = \frac{1340*2.71*\frac{10}{30} }{100}

                                                           = $12.10

Total interest for 30 days = 11.02+15.2+12.10

                                          = $38.32

6 0
3 years ago
Write 24:14:6 in its simplest form.​
Iteru [2.4K]

Answer:

12 : 7 : 3

Step-by-step explanation:

24 : 14 : 6

12 : 7 : 3

Always start with smaller number to simplify it. Since 2 is the smaller number and it simplifies 24, 14, and 6 I start with it.

24 ÷ 2 = 12

14 ÷ 2 = 7

6 ÷ 2 = 3

We would stop here since it would not further simplify, therefore our answer is 12 : 7 : 3.

Hope this helps, thank you :) !!

3 0
3 years ago
NEED URGENT HELP!
sp2606 [1]
(3,9)(5,15)
slope = (15 - 9) / (5 - 3) = 6/2 = 3

y = mx + b
slope(m) = 3
(3,9)...x = 3 and y = 9
sub and find b, the y int
9 = 3(3) + b
9 = 9 + b
9 - 9 = b
0 = b

so ur equation is : y = 3x + 0....can be written as y = 3x.

after 12 months...
y = 3x...x = 12
y = 3(12)
y = 36 inches
6 0
4 years ago
FREE POINT BECOS I CANT BE BOTHERED
ddd [48]
Thanks besti ;)))))))))))
4 0
3 years ago
Read 2 more answers
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