Find two numbers that multiply to -56 and add to -1

A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distr

andrew11 [14]

Answer:hiiiiiiiii

Step-by-step explanation:

8 0

3 years ago

The coordinates of the verticles of

mr Goodwill [35]

Of what?????? Need more info

4 0

3 years ago

Point M is the midpoint of AB. The coordinates of point A are(-6, 3) and the coordinates of M are

densk [106]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x-6}{2}~~,~~\cfrac{y+3}{2} \right)~~=~~\stackrel{\stackrel{Midpoint}{M}}{(-2~,~3)}\implies \begin{cases} \cfrac{x-6}{2}=-2\\[1em] x-6=-4\\ \boxed{x=2}\\ \cline{1-1} \cfrac{y+3}{2}=3\\[1em] y+3=6\\ \boxed{y=3} \end{cases}$

7 0

4 years ago

PLS HELP! Will give 25 points!

RSB [31]

Answer and explanation:

Given: Belinda wants to invest $1,000. The table below shows the value of her investment under two different options for three different years:

Number of years 1 2 3

Option 1 (amount in dollars) 1100 1200 1300

Option 2 (amount in dollars) 1100 1210 1331

To find:

Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2?

Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years.

Part C: Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1?

Solution:

Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.

Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.

Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.

Part A:

In the case of option 1, the linear function can be used to describe the value of the investment after a fixed number of years. This is because, in option one, the amount increases by a fixed amount every year.

In the case of option 2, the exponential function can be used to describe the value of the investment after a fixed number of years. This is because, in option 2, the amount increase is higher than last year.

Part B:

For option 1, the function is

For option 2, the function is

Here, x is the increase in amount every consecutive year.

Part C:

After 20 years, the amount from option 1 would be 3000 and the amount from option 2 would be 4900. Thus, there is a difference between 1900.

Therefore,

Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.

Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.

Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.

Hope this helps

8 0

2 years ago

Vicky is solving an equation where both sides are linear expressions. If the y-intercepts of the graphs are the same but the slo

Minchanka [31]

If the y-intercepts are the same, then the two linear have the same y-intercept as a solution. That is one common solution for both expressions. The two expressions intersect at that point. Since the slopes are different, there are no more common solutions since if two different lines intersect, they intersect at exactly one point and no more.

Answer: 1 intersection

5 0

4 years ago

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