Answer:
Part 1) The exact solutions are
and
Part 2) (1.79, 8.58)
Step-by-step explanation:
we have
----> equation A
----> equation B
we know that
When solving the system of equations by graphing, the solution of the system is the intersection points both graphs
<em>Find the exact solutions of the system</em>
equate equation A and equation B
![x^{2} +3x=2x+5\\x^{2} +3x-2x-5=0\\x^{2} +x-5=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B3x%3D2x%2B5%5C%5Cx%5E%7B2%7D%20%2B3x-2x-5%3D0%5C%5Cx%5E%7B2%7D%20%2Bx-5%3D0)
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
so
The solutions are
<em>Find the values of y</em>
<em>First solution</em>
For ![x_1=\frac{-1+\sqrt{21}} {2}](https://tex.z-dn.net/?f=x_1%3D%5Cfrac%7B-1%2B%5Csqrt%7B21%7D%7D%20%7B2%7D)
![y=2(\frac{-1+\sqrt{21}} {2})+5](https://tex.z-dn.net/?f=y%3D2%28%5Cfrac%7B-1%2B%5Csqrt%7B21%7D%7D%20%7B2%7D%29%2B5)
![y=-1+\sqrt{21}+5\\\\y=4+\sqrt{21}](https://tex.z-dn.net/?f=y%3D-1%2B%5Csqrt%7B21%7D%2B5%5C%5C%5C%5Cy%3D4%2B%5Csqrt%7B21%7D)
The first solution is the point
<em>Second solution</em>
For ![x_2=\frac{-1-\sqrt{21}} {2}](https://tex.z-dn.net/?f=x_2%3D%5Cfrac%7B-1-%5Csqrt%7B21%7D%7D%20%7B2%7D)
![y=2(\frac{-1-\sqrt{21}} {2})+5](https://tex.z-dn.net/?f=y%3D2%28%5Cfrac%7B-1-%5Csqrt%7B21%7D%7D%20%7B2%7D%29%2B5)
![y=-1-\sqrt{21}+5\\\\y=4-\sqrt{21}](https://tex.z-dn.net/?f=y%3D-1-%5Csqrt%7B21%7D%2B5%5C%5C%5C%5Cy%3D4-%5Csqrt%7B21%7D)
The second solution is the point
Round to the nearest hundredth
<em>First solution </em>
-----> ![(1.79,8.58)](https://tex.z-dn.net/?f=%281.79%2C8.58%29)
-----> ![(-2.79,-0.58)](https://tex.z-dn.net/?f=%28-2.79%2C-0.58%29)
see the attached figure to better understand the problem
The relative unfairness of an apportionment that gives a new board member to joshua rather than to salinas will be
<h3>How to calculate the values?</h3>
The relative unfairness of an apportionment that gives a new board member to joshua rather than to salinas will be:
= (1520 - 1232)/1232
= 288/1232
= 0.234
The relative unfairness of an apportionment that gives a new board member to salinas rather than to Joshua will be:
= (1448 - 1333)/1333
= 115/1333
= 0.086
The regional governing board that should receive the new board member is Salinas.
Learn more about tables on:
brainly.com/question/3632175
#SPJ1
Answer:
5–3 = 2
8–5 = 3
12–8 = 4
17–12 = 5
x-17 should be 6, hence x = 6+17 = 23.
Step-by-step explanation: