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}.
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Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
use Cos for y .... b/c we see that function above has all the pieces we are going to work with
use Sin for x .. for the same reason above
Cos(30) = y / 4
4Cos(30) = y
4
/2 = y
2
= y
leave the answer for y like that.. it's in 'exact" form
now for x
Sin(30) = x / 4
4Sin(30) = x
4* 1/2 = x
2 = x
and leave your answer for x like that as it's in it's exact form. :)
oh and I see the answer in the list.. do you? :)
The unit price is : 65.25/9 = 7,25 $
Call the number x. Then we write
2x - 5 = 17
To solve, add 5 and divide by 2...
2x = 22
x = 11
The answer should be d. the number of tables and chairs he’ll rent is undetermined so you’d need the variables to hold that place and then add the flat rate of 475$. hope that made at least a bit of sense :)
