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eimsori [14]
2 years ago
15

Y = -2x + 8 y = x^2 - 9x + 18 solve the system of nonlinear equation

Mathematics
1 answer:
ryzh [129]2 years ago
3 0

Substitution

-2x+8=x^2-9x+18

x^2-7x+10=0

Factoring, we get

(x-5)(x-2)=0

x=5, x=2

If x equals 5,

y=-2(5)+8=

-10+8=

-2

Therefore, we derive our first solution:

<h2><u><em>x=5,</em></u></h2><h2><u><em>y=-2</em></u></h2>

Now we solve for our second x

If x=2,

y=-4+8=

4

Therefore, we derive our second solution:

<h2><u><em>x=2</em></u></h2><h2><u><em>y=4</em></u></h2>

<u><em></em></u>

-Hunter

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The weekly salaries of a sample of employees at the local bank are given in the table below. Employee Weekly Salary Anja $245 Ra
evablogger [386]

The variance for the data is  17,507. 5.

Given

The weekly salaries of a sample of employees at the local bank are given in the table below.

Employee Weekly Salary Anja $245 Raz $300 Natalie $325 Mic $465 Paul $100.

<h3>Variance</h3>

Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.

The mean value of the salaries of employees is;

\rm Mean= \dfrac{245+300+325+465+100}{5}\\\\Mean=287

The variance is given by;

\rm  Variance=\sqrt{\dfrac{(245-287)^2 +(300-287)^2 +(325-287)^2 +(465-287)^2 +(100-287)^2}{5-2}} \\\\Variance = 132.316}\\\\On \ Squaring \ both \ the \ sides\\\\Variance^2=17,507. 5

Hence, the variance for the data is  17,507. 5.

To know more about variance click the link given below.

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7 0
3 years ago
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first
Artyom0805 [142]

Answer:

Let x = the charge in 1st city before taxes

Let y = the charge in 2nd city before taxes

 

 

Set up equation before taxes.

 

y = x - 1500        eq1

 

 

Set up equation for total tax paid.

 

0.065x + 0.06y = 378.75         eq2

 

 

Substitute eq1 into eq2.

 

0.065x + 0.06(x - 1500) = 378.75

0.065x + 0.06x - 90 = 378.75

0.125x - 90 = 378.75

0.125x = 468.75

       x = 3750

 

Substitute this value of x into eq1.

 

y = 3750 - 1500

y = 2250

 

 

The hotel charge in city one is $3750 and the hotel charge in city two is $2250

3 0
3 years ago
State the domain of the numbers displayed in column x and column y. x y
ella [17]

We can not really tell in this question as you dont know the equation that is being used for the domain and range relationship but overall one should know that:

The set of values of the independent variable(s) for which a function or relation is defined as the domain of a function. Typically, this is the set of x-values that give rise to real y-values.

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.


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