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3 years ago

Which of the following best describes the relationship between (x - 2) and the

Mathematics

1 answer:

Gnoma [55]3 years ago

5 0

Answer:

If (x - 2) is a factor of 2x³ + x² - 3 then for the value of x = 2 the polynomial is equal zero.

Substitute:

2 · 2³ + 2² - 3 = 2 · 8 + 4 - 3 = 16 + 4 - 3 = 17 ≠ 0

Answer: B) (x - 2) is not a factor.

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lakkis [162]

So I have the same problem with you

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2 years ago

Which graph best represents the feasibility region for the system shown above? ( pics are in this)

zalisa [80]

Consider the system of inequalities

$\left\{ \begin{array}{l} y\ge 2 \\ x\le 6 \\ y\le 3x+2 \\ y\le -x+10. \end{array}\right.$

1. Plot all lines that are determined by equalities (see attached diagram)

$\left\{ \begin{array}{l} y=2 \text{ (red line)} \\ x= 6 \text{ (blue line)}\\ y=3x+2 \text{ (green line)} \\ y= -x+10 \text{ (orange line)}. \end{array}\right.$

2. Determine which bounded part of the plane you should select:

$y\ge 2$ means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
$x\le 6$ means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);
for $y\le 3x+2$ you can check where the origin is placed. Since $0\le 3\cdot 0+2$ , the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line.
for $y\le -x+10$ you can check where the origin is placed. Since $0\le -1\cdot 0+10$ , the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.

3. According to the previous explanations, the shaded region is as in A diagram.

Answer: correct choice is A.

5 0

3 years ago

Read 2 more answers

'find the equation of the line shown':

insens350 [35]

Answer:

y = x + 6

Step-by-step explanation:

The y-intercept is (0, 6). This is where the line crosses the y-axis.

The slope is 4/4, or 1: m = 1

The equation of the line is therefore y = x + 6

4 0

3 years ago

tom rides the bus part of the way to school and then he walks the rest pf the way. he walks five minutes longer than he rides. t

ruslelena [56]

Answer:

16 minutes

Step-by-step explanation:

Tom walks for 5 minutes longer than he rides. To figure out the answer, start by subtracting 5:

27 - 5 = 22

Now that you have done this, divide 22 by 2:

22/2 = 11

Now you know that he rode the bus for 11 minutes, and you can add five to the other 11 minutes to know how long he walked:

11 + 5 = 16.

7 0

3 years ago

Read 2 more answers

When a decimal is written in word form, what indicates whether the number can be written as a mixed number or as a fraction less

vekshin1

9514 1404 393

Answer:

"and"

Step-by-step explanation:

Properly written, the word "and" separates the integer portion from the fractional portion of the number. If there is no "and", then there is no integer portion, so the number is a fraction less than 1.

Examples:

one and three tenths = 1 3/10

thirty-one thousandths = 31/1000

8 0

2 years ago