The solutions to the system of equation f(x) and g(x) are and
<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;
For the quadratic equation f(x)=2x^(2)-3x-10
a = 2
b = -3
c = -10
Substitute
For the quadratic equation -3x² + 20
a =-3
b = 0
c = 20
Learn more on quadratic equations here: brainly.com/question/776122
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ANSWER: the turning point of y = a ( x + b ) 2 + c y=a(x+b)^2+c y=a(x+b)2+c has coordinates ( − b , c ) (-b, c) (−b,c).
The length of the red dashed line would be found using the Pythagorean thereom.
X = √(24^2 + 12^2)
X = √576 + 144)
X = √720
X = 12√5 inches.
Time equal to distance divided by the speed. In this question, Sarah need 2 hours and 40 minutes(or 160 minutes) to loop around the north part of Lake Washington. The time for the same distance cutted by 6 minutes if the speed increased by 1km/h. The calculation would be:
time= distance/speed
distance= time*speed=
distance1= distance2
time1*speed1= time2*speed2
160min*speed1= (160min-6min)*(speed1+1km/h)
160 speed1= 154 speed1 + 154km/h
160 speed1- 154 speed1 = 154km/h
speed1= 154km/h /6= 25.67km/h