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2 years ago

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Use Descartes’s rule of signs to determine the possible number of positive and negative real zeros of f(x)=8x^4-6x^3-4x^2-7x+3

1 answer:

pav-90 [236]2 years ago

5 0

let's recall Descartes rule of signs, to get the Real Positive ones we start by checking the sign changes for f(x), and to get the Real Negative ones we check the sign changes for f( -x ).

Check the picture below.

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Please help me thanks

Mekhanik [1.2K]

Answer:

$x=37.74^{0}$

Step-by-step explanation:

Let's use the sine law to calculate x.

$\frac{x}{sin(90)}=\frac{20}{sin(32)}\\x=\frac{20}{sin(32)}\\x=37.74$

6 0

2 years ago

Ellie just got her first cell phone plan. She pays $79 per month plus $150 activation fee. Write the equation to represent the s

Brut [27]

Answer:

150+79m

Step-by-step explanation:

$150+$79m (m per month)

8 0

3 years ago

I think of a number N. I add 5 to N and then multiply the answer by 3. The result is 84. What is the number N that l first thoug

Grace [21]

The answer is 26.33 repeating
How you get that answer is
First do N times 3
so the you have 3n + 5 = 84
minus 5 from both sides and then you get 3n = 79
divid both sides by 3 and then you get n = 26.33 reapting

4 0

3 years ago

Read 2 more answers

Divide: 782 ÷ 12 A) 65 R2 B) 65 C) 70 R5 D) 74

serious [3.7K]

It would be A i just did the math

5 0

3 years ago

Read 2 more answers

The design for the palladium window shown includes a semicircular shape at the top. The bottom is formed by squares of equal siz

9966 [12]

Answer:

$(a)\ Area = 3765.32$

$(b)\ Area = 4773$

Step-by-step explanation:

Given

$A_1 = 169in^2$ --- area of each square

$Shade = 4in$

See attachment for window

Solving (a): Area of the window

First, we calculate the dimension of each square

Let the length be L;

So:

$L^2 = A_1$

$L^2 = 169$

$L = \sqrt{169$

$L=13$

The length of two squares make up the radius of the semicircle.

So:

$r = 2 * L$

$r = 2*13$

$r = 26$

The window is made up of a larger square and a semi-circle

Next, calculate the area of the larger square.

16 small squares made up the larger square.

So, the area is:

$A_2 = 16 * 169$

$A_2 = 2704$

The area of the semicircle is:

$A_3 = \frac{\pi r^2}{2}$

$A_3 = \frac{3.14 * 26^2}{2}$

$A_3 = 1061.32$

So, the area of the window is:

$Area = A_2 + A_3$

$Area = 2704 + 1061.32$

$Area = 3765.32$

Solving (b): Area of the shade

The shade extends 4 inches beyond the window.

This means that;

The bottom length is now; Initial length + 8

And the height is: Initial height + 4

In (a), the length of each square is calculated as: 13in

4 squares make up the length and the height.

So, the new dimension is:

$Length = 4 * 13 + 8$

$Length = 60$

$Height = 4*13 + 4$

$Height = 56$

The area is:

$A_1 = 60 * 56 = 3360$

The radius of the semicircle becomes initial radius + 4

$r = 26 + 4 = 30$

The area is:

$A_2 = \frac{3.14 * 30^2}{2} = 1413$

The area of the shade is:

$Area = A_1 + A_2$

$Area = 3360 + 1413$

$Area = 4773$

7 0

3 years ago