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3 years ago

Solve the system using elimination.

Mathematics

1 answer:

Zarrin [17]3 years ago

7 0

The solution is (1,2)

Step-by-step explanation:

7x + 10y = 27

x - 10y = -19 +--------------------

8x = 8

Divide by 8 on both sides

x = 1

To find y substitute any of the equations to 1

7(1) + 10y = 27

7 + 10y = 27

Substract 7 from both sides

10y = 20

Divide by 10

y = 2

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Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting

MariettaO [177]

Answer:

The mean number of customers that will arrive in a five-minute period is 2.

Step-by-step explanation:

a. What is the mean or expected number of customers that will arrive in a five-minute period

For one minute, the mean is of 0.4 customers.

So, using proportions, for 5 minutes, the mean is of 5*0.4 = 2 customers.

The mean number of customers that will arrive in a five-minute period is 2.

4 0

3 years ago

Rewrite the expression using distributive property 8(4x+6y-2z)

storchak [24]

8(4x+6y-2z)
32x+48y-16z
Hope this helps!

5 0

3 years ago

Read 2 more answers

What is the area of the square? Help me pls

Allushta [10]

Answer and Step-by-step explanation:

First, we need to find out the circumference of the circle.

We know that the circle has a radius of 1, and that we are finding the circumference. We'll use the circumference equation of a circle.

2 $\pi$ r

Plug in 1 for r.

$2\pi (1)$ = $2\pi$ = circumference of circle

Now, multiply the answer (the circumference) by 4 to get the perimeter of the square.

$2\pi$ x 4 = $8\pi$ = perimeter of square

Now, divide the perimeter by 4 to get what the side of the square is.

$8\pi$ ÷ 4 = $2\pi$

Now, multiply $2\pi$ by $2\pi$ (side times side) to get the area.

$2\pi$ x $2\pi$ = $4\pi$

The answer is A. $4\pi$

#teamtrees #PAW (Plant And Water)

I hope this helps!

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8 0

3 years ago

x = c1 cos(t) + c2 sin(t) is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the seco

igomit [66]

Answer:

$x=-cos(t)+2sin(t)$

Step-by-step explanation:

The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:

A differential equation of the form:

$a_n y^n +a_n_-_1y^{n-1}+...+a_1y'+a_oy=0$

Will have a characteristic equation of the form:

$a_n r^n +a_n_-_1r^{n-1}+...+a_1r+a_o=0$

Where solutions $r_1,r_2...,r_n$ are the roots from which the general solution can be found.

For real roots the solution is given by:

$y(t)=c_1e^{r_1t} +c_2e^{r_2t}$

For real repeated roots the solution is given by:

$y(t)=c_1e^{rt} +c_2te^{rt}$

For complex roots the solution is given by:

$y(t)=c_1e^{\lambda t} cos(\mu t)+c_2e^{\lambda t} sin(\mu t)$

Where:

$r_1_,_2=\lambda \pm \mu i$

Let's find the solution for $x''+x=0$ using the previous information:

The characteristic equation is:

$r^{2} +1=0$

So, the roots are given by:

$r_1_,_2=0\pm \sqrt{-1} =\pm i$

Therefore, the solution is:

$x(t)=c_1cos(t)+c_2sin(t)$

As you can see, is the same solution provided by the problem.

Moving on, let's find the derivative of $x(t)$ in order to find the constants $c_1$ and $c_2$ :

$x'(t)=-c_1sin(t)+c_2cos(t)$

Evaluating the initial conditions:

$x(0)=-1\\\\-1=c_1cos(0)+c_2sin(0)\\\\-1=c_1$

And

$x'(0)=2\\\\2=-c_1sin(0)+c_2cos(0)\\\\2=c_2$

Now we have found the value of the constants, the solution of the second-order IVP is:

$x=-cos(t)+2sin(t)$

3 0

3 years ago

Find the series shown.

solmaris [256]

Answer:

C $11+13+15+17+...$

Step-by-step explanation:

Consider the series

$\sum\limits_{n=3}^{\infty}(2n+5)$

The nth term of series is $a_n=2n+5$

The bottom index tells you that n starts changing from 3, so

$a_3=2\cdor 3+5=11\\ \\a_4=2\cdot 4+5=13\\ \\a_5=2\cdot 5+5=15\\ \\a_6=2\cdot 6+5=17\\ \\...$

Thus, the sum of all terms is

$11+13+15+17+...$

8 0

3 years ago