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Sveta_85 [38]
3 years ago
15

How do I use elimination process when solving two variable equations?

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0
Solve simultaneously:

<span>15x-8y=52 and
6x+14y=38
</span>
Let's solve this system thru elimination by addition/subtraction:

Let's get rid of the x terms.
To do this, mult. the first eqn. by -6 and the second by 15.  (This is not the only way in which we can do this!!)  We get  

-90x + 48y = -312
90x   +210y = 570
--------------------------
Add all 3 columns together.  We end up with:

258y = 258, so y = 1.  You can find x by subst. 1 for y in either of the given equations.

If you'd like more help, please be specific about what you want.


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Answer:

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ivann1987 [24]

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Step-by-step explanation:

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Graduation is 3 years away and you want to have $850 available for a trip. If your bank is offering a 3-year CD (certificate of
irina1246 [14]

Answer:

We need to put $801.88 amount in the bank.

Step-by-step explanation:

given that

t=3 yr

Need amount $850 after 3 yr so P= $850

Interest rate=2%

We know that for simple interest

P=A\left(1+\dfrac{rt}{100}\right)

Where r is the Interest rate,t is the time,A is the present amount and P is principle amount after t time.

Here given that  P= $850

So now putting the values

850=A\left(1+\dfrac{2\times 3}{100}\right)

So A=$801.88

We need to put $801.88 amount in the bank.

7 0
4 years ago
I NEED HELP PLS THIS IS DUE IN 3 HOURS
Mariulka [41]

Answer:

Part 1)  x^{2} -2x-2=(x-1-\sqrt{3})(x-1+\sqrt{3})

Part 2)  x^{2} -6x+4=(x-3-\sqrt{5})(x-3+\sqrt{5})

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

Part 1)

in this problem we have

x^{2} -2x-2=0

so

a=1\\b=-2\\c=-2

substitute in the formula

x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-2)}} {2(1)}\\\\x=\frac{2(+/-)\sqrt{12}} {2}\\\\x=\frac{2(+/-)2\sqrt{3}} {2}\\\\x_1=\frac{2(+)2\sqrt{3}} {2}=1+\sqrt{3}\\\\x_2=\frac{2(-)2\sqrt{3}} {2}=1-\sqrt{3}

therefore

x^{2} -2x-2=(x-(1+\sqrt{3}))(x-(1-\sqrt{3}))

x^{2} -2x-2=(x-1-\sqrt{3})(x-1+\sqrt{3})

Part 2)

in this problem we have

x^{2} -6x+4=0

so

a=1\\b=-6\\c=4

substitute in the formula

x=\frac{-(-6)(+/-)\sqrt{-6^{2}-4(1)(4)}} {2(1)}

x=\frac{6(+/-)\sqrt{20}} {2}

x=\frac{6(+/-)2\sqrt{5}} {2}

x_1=\frac{6(+)2\sqrt{5}}{2}=3+\sqrt{5}

x_2=\frac{6(-)2\sqrt{5}}{2}=3-\sqrt{5}

therefore

x^{2} -6x+4=(x-(3+\sqrt{5}))(x-(3-\sqrt{5}))

x^{2} -6x+4=(x-3-\sqrt{5})(x-3+\sqrt{5})

5 0
3 years ago
A set average city temperatures in August are normally distributed with a mean of 21.25 degrees Celsius and a standard deviation
Ainat [17]

Answer:

The proportion of temperatures that lie within the given limits are 10.24%

Step-by-step explanation:

Solution:-

- Let X be a random variable that denotes the average city temperatures in the month of August.

- The random variable X is normally distributed with parameters:

                           mean ( u ) = 21.25

                           standard deviation ( σ ) = 2

- Express the distribution of X:

                           X ~ Norm ( u , σ^2 )

                           X ~ Norm ( 21.25 , 2^2 )

- We are to evaluate the proportion of set of temperatures in the month of august that lies between 23.71 degrees Celsius and 26.17 degrees Celsius :

                           P ( 23.71 < X < 26.17 )

- We will standardize our limits i.e compute the Z-score values:

                          P (  (x1 - u) / σ < Z < (x2 - u) / σ )

                          P (  (23.71 - 21.25) / 2 < Z < (26.17 - 21.25) / 2  )

                          P ( 1.23 < Z < 2.46 ).

- Now use the standard normal distribution tables:

                          P ( 1.23 < Z < 2.46 ) = 0.1024

- The proportion of temperatures that lie within the given limits are 10.24%

4 0
3 years ago
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