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Evgesh-ka [11]
3 years ago
11

Use any method to multiply (3a + 2b – c)(a – b + 2c).

Mathematics
2 answers:
umka21 [38]3 years ago
4 0

Answer:

A)

3a2 – 2b2 – 2c2 – ab + 5ac + 5bc

(3a + 2b - c)(a - b + 2c) \\  = (3 {a}^{2}  - 3ab + 6ac + 2ab - 2 {b}^{2}  + 6bc - ac + bc - 2 {c}^{2} ) \\  = 3 {a}^{2}  - ab + 5ac - 2 {b}^{2}  + 5bc -  {2c}^{2}  \\  = 3 {a}^{2}  - 2 {b}^{2}  -  {2c}^{2}  - ab + 5ac + 5bc

guajiro [1.7K]3 years ago
3 0

Answer:

option a is correct

Step-by-step explanation:

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

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

multiply the brackets

3a^2 - 3ab + 6ac + 2ab - 2b^2 + 4bc - ac + bc - 2c^2

combine like terms

3a^2 - ab + 5ac - 2b^2 + 5bc - 2c^2

3a^2 - 2b^2 - 2c^2 - ab + 5ac + 5bc

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67,200cm I took the test :)
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3 years ago
Someone please help me to solve this questions...​...
wlad13 [49]

Answer:

1) Event A = 2/3

   Event B = 1/2

2) 1/2

Step-by-step explanation:

1)

Event A :

No. we need on dice = 4

Total numbers on dice = 6

Hence sample space of the event = 6

P( getting 4) = 4/6 = 2/3

Event B :

A coin has a head & a tail.

Hence sample space of the event = 2

But as we need tail only ,

P ( getting Tail ) = 1/2   [ if only tossed once ]

2)

Total numbers on a die = 6

Total no. of odd numbers on die = 3 (∵ 1 , 3 & 5 are odd )

Sample space of this event = 6

P (getting an odd number) = 3/6 = 1/2

6 0
3 years ago
If f(x) = |x|+ 9 and g(x) = -6, which describes the value of (f + g)(x)?
ohaa [14]

Answer:

(f+g)(x) > 3 for all values of x

4 0
3 years ago
Select the most accurate statement regarding the normal distribution. Group of answer choices It is always the appropriate distr
PSYCHO15rus [73]

Answer:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question:

According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

4 0
3 years ago
Just the answer Please hurry
kaheart [24]

Answer:

We have been given that a car can travel 476 miles on 14 gallons of gas and we are asked to write an equation relating the distance d to the number of gallons g.

We can set an equation as distance traveled is directly proportional to number of gallons used in travelling that distance.

Now we will find out K(number of miles traveled in one gallon of gas) by substituting our given values in this equation.

Therefore, we can see that car travels 34 miles in one gallon of gas.

Now we can use this information to find out how many gallons of gas does this car need to travel 578 miles.

Let us divide number of miles to be traveled by number of miles traveled in one gallon of gas to find out number of gallons of gas needed.

Therefore, car need 17 gallons of gas to travel 578 miles.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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