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alekssr [168]
3 years ago
12

Hey:)can you please help me posted picture of question

Mathematics
1 answer:
AysviL [449]3 years ago
3 0
The correct option is (A) x^6 + x^5 - 2x^4  - 2x^3 + 3x^2 + 6x - 9 

Explanation:
The product of two polynomials:
(x^3 + x^2  -3)(x^3 - 2x + 3)

Row1:   x^6       x^5      -3x^3
Row2: -2x^4   -2x^3      6x
Row3:  3x^3     3x^2      -9

Add all of the above rows:
x^6 + x^5 - 3x^3 -2x^4 - 2x^3 + 6x + 3x^3 + 3x^2 -9

x^6 + x^5 - 2x^4  - 2x^3 + 3x^2 + 6x - 9 (Option A)
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Write an equation in slope intercept form that describes a line with a slope of 3 and containing the point (5,-1)
soldier1979 [14.2K]

Answer:

<h2>         y = 3x - 16</h2>

Step-by-step explanation:

Equation of line with a given slope of a and containing a given point (x₀, y₀):

y - y₀ = a(x - x₀)

a = 3,  x₀ = 5,  y₀ = -1

So:

y - (-1) = 3(x - 5)  

y = 3x - 15 - 1

<u>y = 3x - 16</u>

3 0
3 years ago
Determine the center and radius of the following circle equation:<br> x2 + y2 – 10x + 8y + 40 = 0
antiseptic1488 [7]

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x:  x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y:  y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.  Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

6 0
3 years ago
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Answer:

4.

Step-by-step explanation:

2 to the second power = 2^2.

2^2 means 2*2 = 4.

The 2 in  ^2 is called the 'exponent' .

Note 3^3 = 3*3*3

and 5^5 = 5*5*5*5*5.

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3 years ago
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The population of fish in a pond in relation to the number of years since stocking is depicted on a graph. For the first few yea
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Answer:

graph c is the correct answer

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