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vichka [17]
3 years ago
14

Which of the following statements about the polynomial function F(x)=-x^3-6x^2+1

Mathematics
1 answer:
kifflom [539]3 years ago
3 0

Answer:

B

Step-by-step explanation:

The graph begins up and ends down. This means as x heads into negative infinity the graph continues up, up and up towards infinity. While x heads to positive infinity on the right side of the graph, the graph heads down, down, and down towards negative infinity. See graph below.

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Factor the expression. 35g^2 – 2gh – 24h^2
stiks02 [169]

Option C: (7 g-6 h)(5 g+4 h) is the correct answer.

Explanation:

The given expression is 35 g^{2}-2 g h-24 h^{2}

We need to determine the factor of the expression.

Now, let us break the given expression into two groups.

Hence, we get,

35 g^{2}+28 g h-30 g h-24 h^{2}

Simplifying, we get,

\left(35 g^{2}+28 g h\right)+\left(-30 g h-24 h^{2}\right)

Let us factor out 7g from the term \left(35 g^{2}+28 g h\right)

Hence, we have,

7 g(5 g+4 h)+\left(-30 g h-24 h^{2}\right)

Similarly, let us factor out -6h from the term \left(-30 g h-24 h^{2}\right)

Thus, we have,

7 g(5 g+4 h)-6 h(5 g+4 h)

Now, we shall factor out the term 5g+4h , we get,

(7 g-6 h)(5 g+4 h)

Thus, the factorization of the given expression is (7 g-6 h)(5 g+4 h)

Therefore, Option C is the correct answer.

3 0
3 years ago
Diagram/ algebra please help asap needs to be done now
Firlakuza [10]

Answer: 20\ cm

Step-by-step explanation:

For this exercise you need to remember that a Square is defined as a Quadrilateral whose sides are equal in lenght and all its interios angles measure 90 degrees.

Based on that definition, and observing the squarE given in the picture attached, you can write the following equation:

6x-1=4x+6

Then, you need to solve for the variable "x" in order to find its value. You get that this is:

6x-4x-1=6\\\\2x-1=6\\\\2x=6+1\\\\2x=7\\\\x=\frac{7}{2}\\\\x=3.5

Now, knowing the value of "x" you can susbstitute it into any expression that represents the side of the square, and then you must evaluate in order to find the lenght of the side.

You get:

(6x-1)\ cm=(6(3.5)-1)\ cm=(21-1)\ cm=20\ cm

7 0
3 years ago
In the graph, rectangle BCDE is rotated to form rectangle B’C’D’E’. Use the diagram to complete the statement. Point P is called
Maksim231197 [3]

Answer: Rotation

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the area of the rectangle.<br> 36<br> kilometers<br> (x-3) kilometers
Vika [28.1K]

Answer:

36x - 108 kilometers²

Step-by-step explanation:

Area = length x width

36 ( x - 3 ) =

36x - 108

-Chetan K

3 0
3 years ago
Find the slope of the line.
hammer [34]

Answer:

Slope (m) = 3/2

Step-by-step explanation:

This equation is in standard form (y=mx+b) and the m is where the slope always is.

7 0
3 years ago
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