How many x intercepts appear on the graph of this polynomial function? f(x)=x^4-x^3+x^2-x

Fourtine equals a divided by two

lions [1.4K]

Answer:

a=28

Step-by-step explanation:

use inverse operations

5 0

3 years ago

Complete the assignment on a separate sheet of paper Please attach pictures of your work.

Irina18 [472]

Answer:

TO FIND :-

Length of all missing sides.

FORMULAES TO KNOW BEFORE SOLVING :-

$\sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}$
$\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}$
$\tan \theta = \frac{Side \: opposite \: to \: \theta}{Side \: adjacent \: to \: \theta}$

SOLUTION :-

1) θ = 16°

Length of side opposite to θ = 7

Hypotenuse = x

$=> \sin 16 = \frac{7}{x}$

$=> \frac{7}{x} = 0.27563......$

$=> x = \frac{7}{0.27563....} = 25.39568.....$ ≈ 25.3

2) θ = 29°

Length of side opposite to θ = 6

Hypotenuse = x

$=> \sin 29 = \frac{6}{x}$

$=> \frac{6}{x} = 0.48480......$

$=> x = \frac{6}{0.48480....} = 12.37599.....$ ≈ 12.3

3) θ = 30°

Length of side opposite to θ = x

Hypotenuse = 11

$=> \sin 30 = \frac{x}{11}$

$=> \frac{x}{11} = 0.5$

$=> x = 0.5 \times 11 = 5.5$

4) θ = 43°

Length of side adjacent to θ = x

Hypotenuse = 12

$=> \cos 43 = \frac{x}{12}$

$=> \frac{x}{12} = 0.73135......$

$=> x = 12 \times 0.73135.... = 8.77624....$ ≈ 8.8

5) θ = 55°

Length of side adjacent to θ = x

Hypotenuse = 6

$=> \cos 55 = \frac{x}{6}$

$=> \frac{x}{6} = 0.57357......$

$=> x = 6 \times 0.57357.... = 3.44145....$ ≈ 3.4

6) θ = 73°

Length of side adjacent to θ = 8

Hypotenuse = x

$=> \cos 73 = \frac{8}{x}$

$=> \frac{8}{x} = 0.29237......$

$=> x = \frac{8}{0.29237.....} = 27.36242.....$ ≈ 27.3

7) θ = 69°

Length of side opposite to θ = 12

Length of side adjacent to θ = x

$=> \tan 69 = \frac{12}{x}$

$=> \frac{12}{x} = 2.60508......$

$=> x = \frac{12}{2.60508....} = 4.60636....$ ≈ 4.6

8) θ = 20°

Length of side opposite to θ = 11

Length of side adjacent to θ = x

$=> \tan 20 = \frac{11}{x}$

$=> \frac{11}{x} = 0.36397......$

$=> x = \frac{11}{0.36397....} =30.22225....$ ≈ 30.2

5 0

2 years ago

I beg please help :(

Aloiza [94]

Answer:

(2.8, 0.8)

(0.8, -1.8)

Step-by-step explanation:

1. Home (Xa, Ya)= (8, 6)

San Antonio (Xb, Yb)=(-5, -7)

Xa-Xb=8-(-5)=13

Ya-Yb=6-(-7)=13

Emily starts at 2/5 of the road, make it (Xc, Yc)

Xc= Xa-(Xa-Xb)2/5=8-5.2=2.8

Yc=Ya-(Ya-Yb)2/5=6-5.2=0.8

=> Emily starts at (2.8, 0.8)

2.

Emily ends at 3/5 of the road, , make it (Xd, Yd)

Xd= Xa-(Xa-Xb)3/5=8-7.8=0.8

Yd=Ya-(Ya-Yb)3/5=6-7.8=-1.8

=> Emily ends at (0.8, -1.8)

6 0

2 years ago

If you write out the numbers from 1 through 40 (including 1 and 40), how many numbers have a "5" in them?

GaryK [48]

Answer:

4

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40

6 0

2 years ago

W 3: <img src="https://tex.z-dn.net/?f=2x%28x%20-%203%29%20%3D%200%20" id="TexFormula1" title="2x(x - 3) = 0 " alt="2x(x -

katrin [286]

Answer:

x = 3, x = 0

Step-by-step explanation:

To solve these factored equations, just divide each part by zero and solve.

2x(x-3) = 0 → (x-3) = 0, and 2x = 0.

(x-3) = 0 → x - 3 + 3 = 0 + 3 → x = 3.

2x = 0 → 2x/2 = 0/2 → x = 0.

5 0

2 years ago