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2 years ago

2x-3y=-1, 2x+y=11solve the system equation

Mathematics

1 answer:

agasfer [191]2 years ago

4 0

Answer:

x = 4, y = 3

Step-by-step explanation:

2x - 3y = -1

- 2x + y = 11

-4y = -12

y = 3

solve for 'x':

2x -3(3) = -1

2x - 9 = -1

2x = 8

x = 4

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Simplify expression X^2+x-2/x^3-x^2+2x-2

professor190 [17]

Answer:

$=\frac {x+2}{x^2+2}$ is the simplest form of given expression.

Step-by-step explanation:

The given question is $\frac{x^2+x-2}{x^3-x^2+2x-2}$

To solve the problem we have to group or split middle term and then factorise

$\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}$

Taking $x^2$ common from first two terms of denominator and 2 from next two terms

$= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}$

Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms

$= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}$

$=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}$

Now cancel out x-1 from both numerator and denominator we get

$=\frac {x+2}{x^2+2}$ is the required simplest form.

7 0

2 years ago

Can anyone help me with this problem by factoring and list the steps please

jok3333 [9.3K]

Answer:

$m=2, m=0$

-ˋˏ✄┈┈┈┈┈┈┈┈┈┈┈┈┈

$20m^2-40m=0$

Use quadratic formula:-

᠃ ⚘᠂ ⚘ ˚ ⚘ ᠂ ⚘ ᠃

$m_1,_2=\frac{-(-40) -+\sqrt{x} (-40)^2-4*20*0}{2*20}$

$\sqrt{(-40)^2-4*20*0}=40$

$m_1,_2=\frac{-(-40)-,+40}{2*20}$

$m_1=\frac{-(-40)+40}{2*20},m_1=\frac{-(-40)-40}{2*20}$

$m=\frac{-(-40)+40}{2*20}:2$

$m=\frac{-(-40)-40}{2*20}:0$

$m=2, m=0$

˱ ┈ ┈ ┈ ┈ ˲

hope it helps...

have a great day!!

6 0

2 years ago

Mario’s company makes unusually shaped imitation gemstones. One gemstone has 14 faces and 10 vertices. How many edges does the g

Ivan

The gemstone has 22 edges.

We use Euler's formula on this:

F + V - E = 2

Substituting our information, we have:

14 + 10 - E = 2

Combining like terms,
24 - E = 2

Subtract 24 from both sides:
24 - E - 24 = 2 - 24
-E = -22

Divide both sides by -1:
-E/-1 = -22/-1
E = 22

3 0

2 years ago

Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. Every month onwards, the hours of pop m

zlopas [31]

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Number of hours of pop music = 3

Number of hours of classical music = 2

According to question, Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change.

Rate of increment = 5% = 0.05

Let the number of months be 'x'.

So, our required function becomes,

$f(x)=3(1+0.05)x+2\\\\f(x)=3(1.05)x+2$

Hence, Option 'd' is correct.

3 0

2 years ago

A patient drinks 5 12ounce cups of coffee daily. The doctor recommends cutting back 60%, how many ounces of coffee can the patie

maksim [4K]

The patient is recommended to take 24 ounces of coffee per day.

Step-by-step explanation:

Patient normal intake of coffee daily = 5 times 12 ounces

= 5 × 12 = 60 ounces

Doctor recommends to cut off 60 % of the normal intake of coffee.

And advised to take only 40 % of the daily intake of coffee.

So 60 % of 60 ounces can be calculated as,

$$\frac{60 \times 60}{100}$ = 36 ounces

40 % of 60 ounces is 24 ounces.

So 60 - 36 = 24 ounces of coffee per day

6 0

2 years ago