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scoundrel [369]
3 years ago
5

6. Find the product: (x² + 8x - 3)(x + 1)

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

Answer:

x^3+9x^2-3x^2-3

Step-by-step explanation:

You can use a various of methods but when you use the box method you multiply each separately.

Like you would multiply x² by x, 8x by x, -3 by x (thats the first row)

x² by 1, 8x by 1, -3 by 1 ( for the second row)

Then you get those final variables and combine like terms getting the answer above

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Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am
Leni [432]

The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -\frac{3}{4}x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.

Answer: L = 1; W = 9/4; A = 2.25;

Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:

A = x.y

A = x(-\frac{3}{4}.x + 3)

A = -\frac{3}{4}.x^{2}  + 3x

To maximize, we have to differentiate the equation:

\frac{dA}{dx} = \frac{d}{dx}(-\frac{3}{4}.x^{2}  + 3x)

\frac{dA}{dx} = -3x + 3

The critical point is:

\frac{dA}{dx} = 0

-3x + 3 = 0

x = 1

Substituing:

y = -\frac{3}{4}x + 3

y = -\frac{3}{4}.1 + 3

y = 9/4

So, the measurements are x = L = 1 and y = W = 9/4

The maximum area is:

A = 1 . 9/4

A = 9/4

A = 2.25

6 0
3 years ago
A clothing store sells men's hats for $30 each. At this price, the store sells 100 men's hats per week. The owner estimates that
Mkey [24]

Answer:

Step-by-step explanation:

At this price, the store sells 100 men's hats per week. The owner estimates that for every $1 increase in price, one fewer men's hat is sold per week

6 0
2 years ago
If you dont answer all I won't give brain list...(If you do I will!)
Goryan [66]

Answer:

dude bace times hight 4×2×3

3 0
3 years ago
Read 2 more answers
C)
lutik1710 [3]

Answer:

Step-by-step explanation:

You'll divide the tip by the sub-total and multiply by 100

7/52.99 *(100) =13.21%

6 0
3 years ago
Help me on this question, I'll give brainlist for the correct answer.
german

Answer:

Step-by-step explanation:

The first expression has value 12

The second expression has value -6

The third expression has value

4

And finally the forth expression has value 1.14

((13 + 7) = 20

(12+4) = 16

16/ (20 - 16)= 16 / 4

16/4 = 4

8 0
3 years ago
Read 2 more answers
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