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Sidana [21]
3 years ago
12

The length of a rectangle is x² + 6x + 3 and the width is 3x² + 4x - 2. Which expression represents the are of the rectangle

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:

Step-by-step explanation:

area of rectangle=length×width

=(x²+6x+3)×(3x²+4x-2)

=3x^4+(4+18)x³+(-2+24+9)x²+(-12+12)x-6

=3x^4+22x³+31x²-6

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Artist 52 [7]

Answer:

117 pages

Step-by-step explanation:

114 + 3 = x

x = 117

5 0
3 years ago
Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?
Alexxandr [17]

Answer:

a) Add 4 to both sides, and then divide by 2. The solution is x=12.

Step-by-step explanation:

Question:

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

a) Add 4 to both sides, and then divide by 2. The solution is x = 12.

b) Divide both sides by −4, and then subtract 2. The solution is x = −7.

c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.

d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.

Solution:

Given equation:

2x-4=20

We need to determine the steps in order to solve for x.

Solving for x.

Step 1: Adding 4 both sides.

2x-4+4=20+4

2x=24

Step 2: Dividing both sides by 2.

\frac{2x}{2}=\frac{24}{2}

∴ x=12

Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12

7 0
3 years ago
A sample of small bottles and their contents has the following weights (in grams): 4, 2, 5, 4, 5, 2, and 6. What is the sample v
Inessa05 [86]

Answer:

What is the sample variance of bottle weight 2.33

Step-by-step explanation:

First find the mean. The mean of the bottle weight is obtained by taking the ratio of the sum of ages and total number of ages.

Mean = (4+2+5+4+5+2+6) / 7

          = 28 / 7

          = 4

Sample Variance = \frac{\left[\begin{array}{ccc}(4-4)^{2} +(2-4)^{2} +\\(5-4)^{2} + (4-4)^{2} +\\(5-4)^{2} + (2-4)^{2} +\\(6-4)^{2}\end{array}\right]}{7-1}

                             =\frac{0+4+1+0+1+4+4}{6}

                             = 2.33

3 0
3 years ago
Find the sum or difference. Round your answer appropriately. 11.7 qt + 2 qt
qwelly [4]
Add 11.7 and 2. The answer is 13.7 (quarts).
4 0
3 years ago
If f(x) = 3x^2 + 2x, then find the value of y when x = -1.
loris [4]

Answer:

1

Step-by-step explanation:

-1 to the power of 2 is 1

1 times 3 is 3

2 times -1 is -2

3+(-2)=1

7 0
3 years ago
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