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kari74 [83]
3 years ago
11

Degree of the polynomial (2x^3)-(x^2+11) .

Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0

First, distribute the terms.

1(2x^3) = 2x^3

-1(x^2+11) = -x^2-11

Standard form:

2x^3 - x^2 - 11

Since there is a 3, the degree of polynomial is cubic.

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The area of the rectangle as a single expression
Ne4ueva [31]

Answer: A=15x^2+6x-48

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

A=l*w

Where "l" is the length and "w" is the width.

You can identify from the figure that the length and the width of this rectangle are:

length=3(x+2)\\width=5x-8

Then, you need to substitute this lenght and this width into A=l*w:

A=3(x+2)(5x-8)

Now, apply Distributive property:

A=(3x+6)(5x-8)\\\\A=15x^2-24x+30x-48

Finally, you need to add the like terms. Then, you get:

A=15x^2+6x-48

5 0
3 years ago
Is it A, B, C or D? (30 points)
OLEGan [10]

Answer:

B because you’re reflecting it on the x axis.

Hope this helped and brainliest please

8 0
3 years ago
Solve the system of linear equations.
sweet-ann [11.9K]

Answer:

  • dependent system
  • x = 2 -a
  • y = 1 +a
  • z = a

Step-by-step explanation:

Let's solve this by eliminating z, then we'll go from there.

Add 6 times the second equation to the first.

  (3x -3y +6z) +6(x +2y -z) = (3) +6(4)

  9x +9y = 27 . . . simplify

  x + y = 3 . . . . . . divide by 9 [eq4]

Add 13 times the second equation to the third.

  (5x -8y +13z) +13(x +2y -z) = (2) +13(4)

  18x +18y = 54

  x + y = 3 . . . . . . divide by 18 [eq5]

Equations [eq4] and [eq5] are identical. This tells us the system is dependent, and has an infinite number of solutions. We can find them in terms of z:

  y = 3 -x . . . . solve eq5 for y

  x +2(3 -x) -z = 4 . . . . substitute into the second equation

  -x +6 -z = 4

  x = 2 - z . . . . . . add x-4

  y = 3 -(2 -z)

  y = z +1

So far, we have written the solutions in terms of z. If we use the parameter "a", we can write the solutions as ...

  x = 2 -a

  y = 1 +a

  z = a

_____

<em>Check</em>

First equation:

  3(2-a) -3(a+1) +6a = 3

  6 -3a -3a -3 +6a = 3 . . . true

Second equation:

  (2-a) +2(a+1) -a = 4

  2 -a +2a +2 -a = 4 . . . true

Third equation:

  5(2-a) -8(a+1) +13a = 2

  10 -5a -8a -8 +13a = 2 . . . true

Our solution checks algebraically.

6 0
3 years ago
jessica has a jewelry box with a base of 18 square inches. the height is 7 inches. what is the volume of her jewelry box?
ozzi
Assuming it is a right rectangular prism, the volume is 126 sq. in.

V = area of base * height = 18 * 7 = 126
6 0
3 years ago
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Pamela wants to learn more about the career preferences of students in her school. She interviews a number of students from the
Alex17521 [72]
It is an advanced science class, therefore the students will most likely have a preference in science related careers, over representing science, and under representing anything else.
8 0
3 years ago
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