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bonufazy [111]
4 years ago
7

2x-3y =4 5x-Зу =7 Using Linear Combination Method

Mathematics
1 answer:
Levart [38]4 years ago
6 0

Answer:

2x - 3y = 13  /*2

x + 2y = - 4   /*(3)

4x - 6y = 26

3x + 6y = - 12

---------------------- +  

4x + 3x = 26 - 12

7x = 14

x = 2

y = ( - 4 - x)/2 = ( - 4 - 2)/2 = - 6/2 = - 3

Step-by-step explanation:

( 2; - 3 tis is than anwer ok

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is this year 3 math? Its 4

8 0
3 years ago
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il63 [147K]

Answer:

\frac{x-3}{2x-3}. hole or removable discontinuity at x=2

Step-by-step explanation:

Well generally if you want the simplest form, you factor each the denominator and numerator and then see if you can cancel any of the factors out (because they're in the denominator and numerator)

So let's start by factoring the first equation:

x^2-5x+6

Now let's find what ac is (it's just c since a=1...)

AC= 6

List factors of -6

\pm1, \pm2, \pm3, \pm6.

Now we have to look for two numbers that add up to -5. It's a bit obvious here since there isn't many factors, but it's -2 and -3, and they're both negative since 6 is positive, and -5 is negative...

So using these two factors we get

(x-2)(x-3)

Ok now let's factor the second equation:

2x^2-7x+6

Multiply a and c

AC = 12

List factors of 12:

\pm1, \pm2, \pm3, \pm4, \pm6, \pm12.

Factors that add up to -7 and multiply to 12:

-3\ and\ -4

Rewrite equation:

2x^2-4x-3x+6

Group terms:

(2x^2-4x)+(-3x+6)

Factor out GCF:

2x(x-2)-3(x-2)

Rewrite:

(2x-3)(x-2)

Now let's write out the equation using these factors:

\frac{(x-2)(x-3)}{(2x-3)(x-2)}.

Here we can factor out the x-2 and the simplified form is:

\frac{x-3}{2x-3}

So we can "technically" define f(2) using the most simplified form, but it's removable discontinuity, so it has a hole as x=2. since it makes (x-2) equal to 0 (2-2) = 0.

8 0
2 years ago
Lake has a total of $10,000 to invest in two accounts. One account earns 1% simple interest, and the other earns 10% simple inte
Elza [17]

Answer:

  1. $8000 at 1%
  2. $2000 at 10%

Step-by-step explanation:

It often works well to let a variable represent the amount invested at the higher rate. Then an equation can be written relating amounts invested to the total interest earned.

__

<h3>setup</h3>

Let x represent the amount invested at 10%. Then 10000-x is the amount invested at 1%. The total interest earned is ...

  0.10x +0.01(10000 -x) = 280

<h3>solution</h3>

Simplifying gives ...

  0.09x +100 = 280

  0.09x = 180 . . . . . . . subtract 100

  x = 2000 . . . . . . divide by 0.09

  10000 -x = 8000 . . . . amount invested at 1%

<h3>1.</h3>

$8000 should be invested in the 1% account

<h3>2.</h3>

$2000 should be invested in the 10% account

5 0
2 years ago
The nature of a graph, which has an even degree and a positive leading coefficient will be
zaharov [31]

The nature of a graph, which has an even degree and a positive leading coefficient will be<u> up left, up right</u> position

<h3 /><h3>What is the nature of the graph of a quadratic equation?</h3>

The nature of the graphical representation of a quadratic equation with an even degree and a positive leading coefficient will give a parabola curve.

Given that we have a function f(x) = an even degree and a positive leading coefficient. i.e.

  • y = f(x) = 2x²+ 4

The domain of this function varies from -∞ < x < ∞ and the parabolic curve will be positioned on the upward left and upward right x-axis.

Learn more about the graph of a quadratic equation here:

brainly.com/question/9643976

#SPJ1

6 0
2 years ago
Activity
FrozenT [24]

Answer:

Step-by-step explanation:

For the first 30 hours, Andrew will earn 4(30) = $120.  For each additional hour beyond 30 that Andrew works, he will earn 5(h - 30).  Therefore, the function that gives Andrew's total wages when he works more than 30 hours is:

 

w = 120 + 5(h - 30).  

 

So, if he works 35 hours, he will earn:

 

120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.

 

If he works 42 hours, he will earn:

 

120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.

 

I hope this helps!

7 0
3 years ago
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