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4 years ago

What is the equation of the function that is graphed as line a?

Mathematics

1 answer:

torisob [31]4 years ago

3 0

First you find your slope which is rise/run, so, 1/3, and a line this way (/) is positive, so it's positive 1/3.
Then you see where it crosses the y axis: -1.
Plug that into y=mx+b giving you y=1/3x-1.
Your answer is D.

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Find all zeros of the polynomial P(x) = x3 − 2x2 − 3x + 10. Express any non-real roots in the form a + bi.

Strike441 [17]

Answer:

$x = - 2 \: or \: x = 2 - i \: or \: x = 2 + i$

Step-by-step explanation:

The given equation is

$p(x) = {x}^{3} - 2 {x}^{2} - 3x + 10$

We can see that:

$p( - 2) = {( - 2)}^{3} - 2 {( -2) }^{2} - 3( - 2)+ 10$

$p( - 2) = - 8- 8 + 6+ 10 = 0$

This means x=-2 is a zero of p(x).

From the long division in the attachment,

We can rewrite the polynomial as:

${x}^{3} - 2 {x}^{2} - 3x + 10 = (x + 2)( {x}^{2} - 4x + 5)$

We now find solution to the quadratic part:

${x}^{2} - 4x + 5 = 0$

This is given by:

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a}$

We plug in the values to get:

$x = \frac{ - - 4 \pm \sqrt{ {( - 4)}^{2} - 4 \times 1 \times 5} }{2 \times 1}$

$x = \frac{ 4 \pm \sqrt{ 16 - 20} }{2 }$

$x = \frac{ 4 \pm \sqrt{ - 4} }{2 }$

$x = \frac{ 4 \pm2i}{2 } \\ x = 2 \pm \: i \\ x = 2 - i \: or \: x = 2 + i$

Therefore all solutions are:

$x = - 2 \: or \: x = 2 - i \: or \: x = 2 + i$

4 0

4 years ago

PLEASE HELPPPP!!!!!!!!!:((((((((((((((( Manilla, Philippines, is a city on the shore of the western Pacific. During an El Niño e

anzhelika [568]

Answer: c

Step-by-step explanation: cooler, dried than normal

6 0

4 years ago

The sum of two numbers is 24 and their difference is 2?

mote1985 [20]

X + y = 24
x - y = 2

Adding both equations
2x = 26
x = 13
y = 11

7 0

4 years ago

Li Wei has several streams of income, as shown in the table. Some streams are active income and some are passive.

WARRIOR [948]

Based on the streams of income that Li Wei has, we can calculate that he has a total passive income of <u>$3,010.</u>

Passive income refers to income that is made without a person actively involving themselves in the activity generating the income.

In this scenario, the passive income sources are:

Stock dividends
Business investment interest
Royalties from a novel

Total passive income therefore is:

= 530 + 1,080 + 1,400

= $3,010

In conclusion, the total passive income is $3,010.

<em>Find out more at brainly.com/question/1246309. </em>

3 0

3 years ago

A store wants to display 45 boxes of plates. Each shelf can fit 6 boxes of plates. The store will display as many boxes on each

xeze [42]

OKAY I THINK ITS 9 I THINK BC 45 DIVIDED BY 6 ????

8 0

3 years ago