All categories

3 years ago

Do you think any ordered pairs are solutions to BOTH y=x+5 and y=-2x-1? Explain.

Mathematics

1 answer:

Rina8888 [55]3 years ago

3 0

Answer:

ordered pair(-2 , 3) is the solution

Step-by-step explanation:

y=x+5

y=-2x-1

x+5 = -2x-1 substitution

x+5+2x-5 = -2x-1+2x-5

3x = -6

x = -2

y = -2+5 = 3

ordered pair(-2 , 3) is the solution

You might be interested in

The cheerleaders are selling tickets to a pasta dinner to raise money for new competition outfits. They plan to charge $6 per pe

kow [346]

Answer:

22 and a half ticket sold here will result in no profit situation for cheerleaders.

Step-by-step explanation:

The charge per person = $6

The total cost for dinner = $135

If cheerleaders do not make any profit , then

{ If the money earned from tickets = The money Spent} ⇒ NO PROFIT

Now, charge per person = $6

So, number of person needed to earn a total of $135

n = $\frac{\textrm{The total money needed}}{\textrm{Charge per person}}$

n = $\frac{135}{6}$ = 22.5

So, 22 and a half ticket sold here will result in no profit situation for cheerleaders.

If they sell 23 tickets, they will have a profit of $3

And if they sell 22 tickets, they will be short by $3.

5 0

3 years ago

Use variation of parameters to find a general solution to the differential equation given that the functions y1 and y2 are linea

Aleks [24]

Recall that variation of parameters is used to solve second-order ODEs of the form

y''(t) + p(t) y'(t) + q(t) y(t) = f(t)

so the first thing you need to do is divide both sides of your equation by t :

y'' + (2t - 1)/t y' - 2/t y = 7t

You're looking for a solution of the form

$y=y_1u_1+y_2u_2$

where

$u_1(t)=\displaystyle-\int\frac{y_2(t)f(t)}{W(y_1,y_2)}\,\mathrm dt$

$u_2(t)=\displaystyle\int\frac{y_1(t)f(t)}{W(y_1,y_2)}\,\mathrm dt$

and W denotes the Wronskian determinant.

Compute the Wronskian:

$W(y_1,y_2) = W\left(2t-1,e^{-2t}\right) = \begin{vmatrix}2t-1&e^{-2t}\\2&-2e^{-2t}\end{vmatrix} = -4te^{-2t}$

Then

$u_1=\displaystyle-\int\frac{7te^{-2t}}{-4te^{-2t}}\,\mathrm dt=\frac74\int\mathrm dt = \frac74t$

$u_2=\displaystyle\int\frac{7t(2t-1)}{-4te^{-2t}}\,\mathrm dt=-\frac74\int(2t-1)e^{2t}\,\mathrm dt=-\frac74(t-1)e^{2t}$

The general solution to the ODE is

$y = C_1(2t-1) + C_2e^{-2t} + \dfrac74t(2t-1) - \dfrac74(t-1)e^{2t}e^{-2t}$

which simplifies somewhat to

$\boxed{y = C_1(2t-1) + C_2e^{-2t} + \dfrac74(2t^2-2t+1)}$

4 0

2 years ago

What is 1/3 of 100%?

Andrej [43]

33.3333333333333333333333333333333333333(goes on forever)

7 0

3 years ago

Maria thinks of a number double it and add 5 answer is 21 write as an equation in X and solve it to find Maria's number

lys-0071 [83]

Answer:

The number is 8

Step-by-step explanation:

2x +5 =21 

2x= 21-5

2x=16

2x/2=16/2

x=8

To check

8×2=16

16+5=21

5 0

2 years ago

Read 2 more answers

How does making a frequency table or line plot help you see which value occurs most often in a data set?

klemol [59]

Answer:

A frequency table and a line plot show which value occurs most often. this is done by labeling every value. The person can clearly see the organized layedout numbers in a frequency table or line plot.

Step-by-step explanation:

If you have any questions feel free to ask in the comments.

4 0

2 years ago