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NemiM [27]
3 years ago
10

Which expression is equivalent to (3a +b)(2a-4b)

Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0

<em><u>The equivalent expression is:</u></em>

(3a +b)(2a-4b) = 6a^2 -10ab -4b^2

<em><u>Solution:</u></em>

Given that,

We have to find the equivalent expression

<em><u>Given expression is:</u></em>

(3a +b)(2a-4b)

Multiply each term in first parenthesis with each term in second parenthesis

\rightarrow (3a +b)(2a-4b) = (3a \times 2a) -(3a \times 4b) + (b \times 2a) -(b \times 4b)\\\\Simplify\ the\ above\\\\\rightarrow (3a +b)(2a-4b) = 6a^2 -12ab + 2ab -4b^2\\\\Combine\ the\ like\ terms\\\\\rightarrow (3a +b)(2a-4b) = 6a^2 -10ab -4b^2

Thus the equivalent expression is found

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The weights of cars passing over a bridge have a mean of 3,550 pounds and
Dovator [93]

The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%

Option C is the correct answer.

<h3>What is Probability ?</h3>

Probability is defined as the study of likeliness of an event to happen.

It has a range of 0 to 1.

It is given in the question that

The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds.

mean  = 3550

standard deviation,  = 870

Observed value, X = 4000

Z = (X-mean)/standard deviation = (4000-3550)/870 = 0.517

Probability of weight above 4000 lb

= P(X>4000) = P(z>Z) = P(z> 0.517) = 0.6985

The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%

To know more about Probability

brainly.com/question/11234923

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6 0
2 years ago
What are the domain and range of the graphed function? 2 4 6 8 10 10 8 6 4 2 7 5 3 1 9 1 3 5 7 9 y x
katrin [286]
The answer is 2-7=5 is the answer
3 0
3 years ago
What is the equation of the line that has a slope of -3 and passes through the point (4,6)?
garri49 [273]

Answer:

y = -3x + 18

Step-by-step explanation:

y = mx + b

m = -3

6 = (-3) * 4 +b

b = 6 - (-3) * 4

b = 6 +12

b = 18

y = -3x + 18

6 0
3 years ago
8 ÷ (-2) = <br><br>-2 × (-3) =​
Vinvika [58]
Top answer is -4 because when you divide by a negative your answer will come out negative and bottom answer is 6 because when you multiply two negatives it turns into a positive
3 0
3 years ago
Read 2 more answers
An automated teller machine at a local bank is stocked with $10 and $20 bills. When a customer withdraws $40 from the machine, i
cestrela7 [59]

Answer:

There are 4 possibilities

Step-by-step explanation

Each customer has 2 ways to receive the money. For each way, the other customer has 2 option, giving a total of 2*2 = 4. Here are the possibilities, separating in 2 different cases.

Case 1: customer 1 withdraws 2 $20 bills

option 1.1: customer 1 withdraws 2 $20 bills AND customer 2 withdraws 2 $20 bills

option 1.2: customer 1 withdraws 2 $20 bills AND customer 2 withdraws 4 $10 bills

Case 2: customer 1 withdraws 4 $10 bills

option 2.1:  customer 1 withdraws 4 $10 bills AND customer 2 withdraws 2 $20 bills

option 2.2: customer 1 withdraws 4 $10 bills AND customer 2 withdraws 4 $10 bills

options 1.1, 1.2, 2.1 and 2.2 give us a total of four ways for the customers to retrieve thier money.

5 0
3 years ago
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