Answer:
B; ⅕
Step-by-step explanation:
Remaining is: 1 - used
1 - ⅘ = ⅕
The solutions to the system of equation f(x) and g(x) are
and
![\frac{2\sqrt{15}}{3} \ or \ \frac{-2\sqrt{15}}{3}\\](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Csqrt%7B15%7D%7D%7B3%7D%20%5C%20or%20%5C%20%5Cfrac%7B-2%5Csqrt%7B15%7D%7D%7B3%7D%5C%5C)
<h3>
Solving quadratic equations</h3>
Quadratic equations are equations that has a leading degree of 2. Given the following functions:
f(x)=2x^(2)-3x-10
g(x)=-3x^(2)+20
To solve, we will use the quadratic formula as shown below;
![x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
For the quadratic equation f(x)=2x^(2)-3x-10
a = 2
b = -3
c = -10
Substitute
![x=\frac{-(-3)\pm \sqrt{(-3)^2-4(2)(-10)}}{2(2)}\\x=\frac{3\pm\sqrt{89}}{4}\\x= \frac{3+\sqrt{89}}{4} \ or \ \frac{3-\sqrt{89}}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-3%29%5Cpm%20%5Csqrt%7B%28-3%29%5E2-4%282%29%28-10%29%7D%7D%7B2%282%29%7D%5C%5Cx%3D%5Cfrac%7B3%5Cpm%5Csqrt%7B89%7D%7D%7B4%7D%5C%5Cx%3D%20%5Cfrac%7B3%2B%5Csqrt%7B89%7D%7D%7B4%7D%20%5C%20or%20%5C%20%20%5Cfrac%7B3-%5Csqrt%7B89%7D%7D%7B4%7D)
For the quadratic equation -3x² + 20
a =-3
b = 0
c = 20
![x=\frac{0\pm \sqrt{(0)^2-4(-3)(20)}}{2(-3)}\\x=\frac{\pm4\sqrt{15}}{-6}\\x=\frac{2\sqrt{15}}{3} \ or \ \frac{-2\sqrt{15}}{3}\\](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B0%5Cpm%20%5Csqrt%7B%280%29%5E2-4%28-3%29%2820%29%7D%7D%7B2%28-3%29%7D%5C%5Cx%3D%5Cfrac%7B%5Cpm4%5Csqrt%7B15%7D%7D%7B-6%7D%5C%5Cx%3D%5Cfrac%7B2%5Csqrt%7B15%7D%7D%7B3%7D%20%5C%20or%20%5C%20%5Cfrac%7B-2%5Csqrt%7B15%7D%7D%7B3%7D%5C%5C)
Learn more on quadratic equations here: brainly.com/question/776122
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Answer:
y=-4/5-30/5
y=-4/5-6 is the slope intercept form
Answer:
use -4y for x in the second equation
-4 y + 5 y = 2
so
y = 2
then x = -4(2) = -8
(-8 , 2)
Step-by-step explanation: