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mestny [16]
3 years ago
7

P(n)=2n^2+2n; find p(-6)

Mathematics
1 answer:
ch4aika [34]3 years ago
8 0
P(n) = 2n^2 + 2n; find p(-6)
P(-6) = 2(-6)^2 + 2(-6)
P(-6) = 2(36) - 12
P(-6) = 72 - 12
P(-6) = 60

Answer:
P(-6) = 60

Hope this helps.
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K=10t−19<br> Find the output, k, when the input, t is, -7.
aalyn [17]
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3 years ago
The area of a rectangular piece of cardboard is represented by
Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

A = wl

w(2w + 3) = 9

From this, we get that:

l = 2w + 3, A = 9

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question:

w(2w+3) = 9

2w^2 + 3w - 9 = 0

Thus a quadratic equation with a = 2, b = 3, c = -9

Then

\Delta = 3^2 - 4(2)(-9) = 81

w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5

w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

5 0
2 years ago
Find the perimeter of the figure shown to the right.
tia_tia [17]

Step-by-step explanation:

that is very simple. you do understand the word "perimeter" ? it just means the distance when walking around the whole shape once.

and that clearly means to just add all side lengths.

that's it.

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was there any other problem with this you did not understand ?

8 0
2 years ago
7x-3y=-12. Name 2 possible answers for (x,y)
anzhelika [568]

Answer:

x = (-12/7 , 0)

y= (0,4)

Step-by-step explanation:

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7x = -12

/7      /7

x = -12/7     and y =0

Plug x=0 into the equation and solve the resulting equation −3y=−12 for y

-3y = -12

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Y = 4        and X = 0

6 0
2 years ago
A square pyramid is shown. What is the surface area?
Ber [7]

Answer:

The total surface area of a regular pyramidis the sum of the areas of its lateralfaces and its base. The general formula for thelateral surface area of a regular pyramidis where p represents the perimeter of thebase and SI the height of inclination.

5 0
3 years ago
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