What is the result when 6x^3+13x^2+27x+14 is divided by 3x+2

Lines l and m intersect at point p and are perpendicular. if a point q is reflected across l and then across m, what transformat

artcher [175]

Rotating 180 degrees about the point p.

If they are perpendicular reflecting across each one will have the same effect as if the point was rotated 180 degrees about the certain point.

7 0

2 years ago

PLEASE HELP HELPPPPPPO HELPPPPPPO

bezimeni [28]

Step-by-step explanation:

Remember that in a linear function of the form $f(x)=mx+b$ , $m$ is the slope and $b$ is the why intercept.

Part A. Since $g(x)=2x+6$ , its slope is 2 and its y-intercept is 6

Now, to find the slope of $f(x)$ we are using the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

where

$m$ is the slope

$(x_1,y_1)$ are the coordinates of the first point

$(x_2,y_2)$ are the coordinates of the second point

From the table the first point is (-1, -12) and the second point is (0, -6)

Replacing values:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-6--(12)}{0-(-1)}$

$m=\frac{-6+12}{0+1}$

$m=6$

The slope of f(x) is bigger than the slope of g(x), which means the line represented by f(x) is stepper than the line represented by g(x).

Part B. To find the y-intercept of f(x) we are taking advantage of the fact that the y-intercept of a linear function occurs when x = 0, so we just need to look in the table for the value of f(x) when x = 0. From the table $f(x)=-6$ when $x=0$ ; therefore the y-intercept of $f(x)$ is -6.

We already know that the y-intercept of g(x) is 2. Since 2 is bigger than -6, function g(x) has a greater y-intercept.

6 0

2 years ago

Which company has the highest charge per attendee?

zhannawk [14.2K]

Step-by-step explanation:

As an event planner, you may have noticed the steadily increasing online event registration fees. Moreover, many people are anticipating the next economic crisis is coming soon. It may trigger you to think about looking for a new registration system that’s affordable yet still flexible and easy to use.

So we are here to help you search for the best option for your event registration. Start by going through our checklist so you can understand what to look for. Then, check the pricing comparisons of the top 7 online event registration software options out there, so you can browse them side by side to find the best one for you. Save time (and money!) and find the perfect online event registration for your next event.

8 0

2 years ago

What is the Median for the following set of numbers? â€‹21 23 76 47 55 135 45 30 17

Leno4ka [110]

Answer:

Median = 45

Step-by-step explanation:

We are given the following data set:

21, 23, 76, 47, 55, 135, 45, 30, 17

Median is the number that divides the data into two equal parts.

Formula:

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data:

17, 21, 23, 30, 45, 47, 55, 76, 135

Sample size = 9, which is odd

Median =

$\dfrac{9+1}{2}^{th}\text{ term} = \dfrac{10}{2}^{th}\text{ term} = 5^{th}\text{ term}\\\\= 45$

The median of given set of numbers is 45.

7 0

2 years ago

For the equation W = -175t + 8,750, how much water is left after 6 hours?

barxatty [35]

Answer:

7,700

Step-by-step explanation:

-175 x 6 = -1,050

-1,050 + 8,750 = 7,700

5 0

3 years ago