Answer:
2/1 I believe, I suck at slope tho, I'm sorry if it's wrong
The range of the <em>quadratic</em> function y = (2 / 3) · x² - 6 is {- 6, 0, 18, 48}.
<h3>What is the range of a quadratic equation?</h3>
In this case we have a <em>quadratic</em> equation whose domain is stated. The domain of a function is the set of x-values associated to only an element of the range of the function, that is, the set of y-values of the function. We proceed to evaluate the function at each element of the domain and check if the results are in the choices available.
x = - 9
y = (2 / 3) · (- 9)² - 6
y = 48
x = - 6
y = (2 / 3) · (- 6)² - 6
y = 18
x = - 3
y = (2 / 3) · (- 3)² - 6
y = 0
x = 0
y = (2 / 3) · 0² - 6
y = - 6
x = 3
y = (2 / 3) · 3² - 6
y = 0
x = 6
y = (2 / 3) · 6² - 6
y = 18
x = 9
y = (2 / 3) · 9² - 6
y = 48
The range of the <em>quadratic</em> function y = (2 / 3) · x² - 6 is {- 6, 0, 18, 48}.
To learn more on functions: brainly.com/question/12431044
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She took a total of 60 minutes
she answered both mulitiple choice and extended response in the total time which is 60 minutes
she took 2 minutes on rach multiple choice question and 6 minutes for the extended response
let x=number of multiple choice questions
let y=number of extended response questions
we can deduce that
total time =x*2+y*6
60=2x+6y
also we can deduce
20=x+y
since 20 ia the sum of multiple choice and extended response
for part 2 we just solve the system of equations
60=2x+6y
20=x +y
lets multiply the second equation by 2 so we can get rid of x
60=2x+6y
40=2x+2y
subtracting the two equations from each other to yields
20=0 +4y
y=5
to get x we substitute in one of the equations we derived from question 1
x+y=20
substituting y for its value we get
x+5=20
x=15
