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3 years ago

5x - 2y = 2 x + 2y = 2

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

4 0

Answer:

Hello! What are you trying to ask?

Step-by-step explanation:

You might be interested in

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $7200 and his st

Ronch [10]

Answer:

22.7%

Explanation:

Given that last year stock for company A was $7200

The stock for company B last year was worth $3510

Stock in company A decreased by 24%

This means the new value of stock for company A became;

(100-24)/100 *$7200

76/100*$7200

0.76*7200 =$5472

Stock in company B decreased by 20%

This means the new value of stock for company B became;

(100-20)/100 *$3510

80/100*$3510

0.8*$3510

$2808

Original investors stock value was = $7200+$3510 =$10710

New investors stock value is = $5472+$2808=$8280

Decrease in value of stock = $10710-$8280 =$2430

percentage decrease in stock value = decrease in stock/original value of stock *100%

=2430/10710 *100 =22.689

=22.7%

4 0

3 years ago

Find the slope of the line that passes through the points (-19, -4) and (13, -17).

Tasya [4]

Answer:

m = $\frac{-13}{32}$

Step-by-step explanation:

Two point slope formula = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

$\frac{-17 + 4}{13 + 19} = \frac{-13}{32}$

7 0

3 years ago

Read 2 more answers

Lemma 2.3.2 (Multiplication is commutative). Let n,m be natural питbers. hen n x m = mхп.

Paraphin [41]

Answer:

Multiplication is commutative.

Step-by-step explanation:

Let n,m be two natural numbers.

We have to show that $n\times m=m\times n$

We will prove this by induction

For n = 1, we have $n\times 1 = 1\times n = n$ , which is true.

Let the given statement be true for n-1 natural numbers, that is,

$(n-1)\times m = m\times (n-1)$

Now, we have to show that it is true for n natural numbers.

$nm = (n-1)m + m = m(n-1) + m$

which is equal to

$(m-1)(n-1) + (n-1) + m$

$= (m-1)(n-1) + (m-1) + n$

$= n(m-1) + n$

$= (m-1)n + n$

$= mn$

Hence, by principal of mathematical induction, the given statement is true for all natural numbers.

6 0

3 years ago

Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5

Bond [772]

Answer:

The solution to the equation system given is:

<u>x = 2</u>
<u>y = -1</u>

Step-by-step explanation:

First, we must know the equations given:

2x + 3y = 1
3x + y = 5

Following Crammer's Rule, we have the matrix form:

$\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]$

Now we solve using the determinants:

$x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2$

$y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1$

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

2x + 3y = 1
2(2) + 3(-1)= 1
4 - 3 = 1
1 = 1

And, with the second equation:

3x + y = 5
3(2) + (-1) = 5
6 - 1 = 5
5 = 5

4 0

3 years ago

Gabe has to complete 1,422 math problems during the next 18 weeks. If he spreads the problems evenly across the weeks, how many

AleksandrR [38]

Answer:

79 problems each week

Step-by-step explanation:

To find this answer, just divide the total number of math problems (1,422) by how many weeks Gabe had to do them (18). This will give you a final answer of 79 problems per week. My work is below!

1,422 / 18 = 79 problems per week

3 0

3 years ago