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3 years ago

What is the end behavior of the polynomial function

1 answer:

3 0

Even-degree polynomials behave like quadratics, while odd-degree polynomials behave like cubic graphs. If an even-degree polynomial has a positive leading coefficient, the two ends of the graph point upward. If an even-degree polynomial has a negative leading coefficient, the two ends of the graph point downward. If an odd-degree polynomial is positive, the left end points down and the right end points up. If an odd-degree polynomial has a positive leading coefficient, the left end points up and the right end points down.

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A piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle and; the other will be bent to

Brums [2.3K]

<h3>The perimeter of circle = 17.6 cm</h3><h3>Perimeter of square = 22.4 cm</h3>

Step-by-step explanation:

The total length of the wire = 40 cm

Let us assume the circumference of the circle = k cm

So, the circumference of the square = ( 40 - k) cm

Now,as circumference of circle = 2πR

⇒2πR = k cm or, R = $(\frac{k}{2\pi})$

Area of the circle = πR²

or, A = $\pi (\frac{k}{2\pi} )^2$

$= \pi \times (\frac{k^2}{(2\pi)^2} ) = \frac{k^2}{4 \pi} \\\implies A = \frac{k^2}{4 \pi}$ ....... (1)

Similarly , perimeter of square = 4 x Side

⇒ 4 x Side = ( 40 - k) cm ⇒ S = $(\frac{40 - k}{4} )$

Area of the square = (Side)² = $(\frac{40 - k}{4} ) ^2$

Solving, we get: $A = \frac{1600 + k^2 - 80 k}{16}$ ....... (1)

So, combining (1) and (2), total area A is

$A = (\frac{k^2}{4 \pi} ) + \frac{k^2 + 1600 - 80 k }{16}$

or, we get: A = 0.07962 k² + 0.0625 k² + 100 - 5 k

A = 0.1422 k² - 5 k + 100

For axis of symmetry : $k = (\frac{-b}{2a} ) = (-\frac{-5}{2(0.1420}) = 17.6$

⇒ k = 17.6 inches

So, the perimeter of circle = 17.6 cm

Perimeter of square = (40 - 17.6 ) = 22.4 cm

3 0

3 years ago

Can somebody help me <br> -2(x+5)

Anika [276]

Answer: -2x - 10

Steps: -2(x+5)

Apply the distributive law [ a(b + c) = ab + ac ]:

a = -2, b = x, c = 5

-2x + (-2) × 5

Apply minus/plus rules: -2x - 2 × 5

Multiply the numbers: 2 × 5 = 10

-2x - 10

Plz mark brainliest:)

5 0

3 years ago

Evaluate √36/121<br><br> Enter your answer as a fraction in simplest term.

Ad libitum [116K]

Assuming the root sign is over both the numerator and denominator, find the square root of both numbers (6 and 11). The two answers are positive and negative 6/11 because multiplying two negatives makes a positive.

5 0

3 years ago

Read 2 more answers

Need an answer, please need an answer, please

trasher [3.6K]

Answer:

Step-by-step explanation:

Area = 192 m²

Perimeter= 56 m

Width = x m

Perimeter = 56

2*(length + width) = 56

Divide the equation by 2

l + x = 56/2

l + x = 28

l = 28 - x

Area = 192 m²

l * w = 192

(28 - x)*x = 192

28x - x*x = 192

0 = 192 - 28x + x²

x² - 28x + 192 = 0

2) Equation is a quadratic equation. The roots of this equation will the dimensions of the rectangular plot.

3) The roots represent the width and length of the rectangle.

x² - 28x +192 = 0

Sum = -28

Product =192

Factors = -16 , -12 {-16 +(-12) = -28 & (-12)*(-16) = 192}

x² - 28x + 192 = 0

x² - 12x - 16x + (-16)*(-12) = 0

x(x -12) - 16(x - 12) = 0

(x - 12)(x -16) =0

x -12 = 0 ; x - 16 = 0

x = 12 ; x = 16

x = 12 ,16

4) Sum of the roots = 12 + 16 = 28

Sum of the roots = half of the perimeter

5) Product of the roots = 12*16 = 192 = area of the rectangle.

6 0

3 years ago

What is the gcf of 12 and 8

DENIUS [597]

The answer is 4 hope this helps

5 0

3 years ago