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Rudik [331]
3 years ago
10

Simplify the expression 3a(3-a)+3(a^2-3)+3a

Mathematics
2 answers:
Readme [11.4K]3 years ago
4 0

Answer:

3 (4 a - 3)

Step-by-step explanation:

Simplify the following:

3 a (3 - a) + 3 (a^2 - 3) + 3 a

3 a (3 - a) = 9 a - 3 a^2:

9 a - 3 a^2 + 3 (a^2 - 3) + 3 a

3 (a^2 - 3) = 3 a^2 - 9:

3 a^2 - 9 - 3 a^2 + 9 a + 3 a

Grouping like terms, 3 a^2 - 3 a^2 + 9 a + 3 a - 9 = (9 a + 3 a) - 9 + (-3 a^2 + 3 a^2):

(9 a + 3 a) - 9 + (-3 a^2 + 3 a^2)

9 a + 3 a = 12 a:

12 a - 9 + (-3 a^2 + 3 a^2)

3 a^2 - 3 a^2 = 0:

12 a - 9

Factor 3 out of 12 a - 9:

Answer:  3 (4 a - 3)

Gre4nikov [31]3 years ago
3 0

Answer:

12a−9

Step-by-step explanation:

Distribute:

=(3a)(3)+(3a)(−a)+(3)(a2)+(3)(−3)+3a

=9a+−3a2+3a2+−9+3a

Combine Like Terms:

=9a+−3a2+3a2+−9+3a

=(−3a2+3a2)+(9a+3a)+(−9)

=12a+−9

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If there were 48 alligators and 5/6 were sleeping, how many are asleep?
Sergio039 [100]

5/6

6*8=48

5*8=40

The answer is 40

4 0
3 years ago
A study of 860 u.s. atms (automated teller machines) found that the average surcharge for withdrawals from a competing bank was
sp2606 [1]

The statement is false as the sample is a few ATMs of the total ATMs in US.

<h3>What do you mean by ATM?</h3>
  • An automated teller machine, or ATM, is a customized computer that makes it simple for bank account holders to manage their money. One can use it to print a statement of account activity or transactions, check account balances, withdraw or deposit money, and even buy stamps.
  • Customers can carry out simple financial transactions using an automated teller machine (ATM), an electronic banking facility, without the assistance of a branch person or teller.
  • With no assistance from the bank, withdraw money whenever you need to. The consumers' privacy is guaranteed. Rupee withdrawals are quicker than bank withdrawals and do not require standing in long lines. Since no bank employees are involved in the transaction, maintenance costs are lower.
  • Two primary types of automated teller machines (ATMs) exist. One is a basic, straightforward device that lets you check your balance, change your PIN, obtain small statements, and get account notifications. The more sophisticated units offer possibilities for a line of credit and bill payment and cash or check deposits.

The sample is only 860 ATMs and not total ATMs in US thus, a sample of 860 ATMs have taken and conducted the survey.

Thus, the statement is false as the sample is a few ATMs of the total ATMs in US.

To learn more about ATMs, refer to:

brainly.com/question/27835947

#SPJ4

7 0
1 year ago
Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles. She can ride 9 mph faster than she can walk. How f
Marrrta [24]

Answer:

\frac{48}{r+9}=\frac{12}{r}

Step-by-step explanation:

Let r represent Linda's walking rate.                      

We have been given that Linda can ride 9 mph faster than she can walk, so Linda's bike riding rate would be t+9 miles per hour.

\text{Time}=\frac{\text{Distance}}{\text{Rate}}

We have been given that Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles.

\text{Time while riding}=\frac{48}{r+9}

\text{Time taken while walking}=\frac{12}{r}

Since both times are equal, so we will get:

\frac{48}{r+9}=\frac{12}{r}

Therefore, the equation \frac{48}{r+9}=\frac{12}{r} can be used to solve the rates for given problem.

Cross multiply:

48r=12r+108

48r-12r=12r-12r+108

36r=108

\frac{36r}{36}=\frac{108}{36}

r=3

Therefore, Linda's walking at a rate of 3 miles per hour.

Linda's bike riding rate would be t+9\Rightarrow 3+9=12 miles per hour.

Therefore, Linda's riding the bike at a rate of 12 miles per hour.

7 0
3 years ago
The sum of the interior angle measures of a convex polygon is 540° . How many sides does it have?
Step2247 [10]
The answer
5
Explanation
The shape is a pentagon
7 0
2 years ago
In 3 3/4 hours one day in January, it snowed 3 ft in Amarillo. How much snow fell per hour?
miv72 [106K]
Divide 3 over 3.75 to get 0.8 feet of snow each hour
5 0
3 years ago
Read 2 more answers
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