Answer:
yes, it is
Step-by-step explanation:
plug in the point (1, -1) (x,y) into the equation y = 9x - 10
-1 = 9(1)-10
-1 = 9-10
-1=-1
he polynomial x(5x² + 10x + 15), it is not completely factored, 5x² + 10x + 15 can still be factored into two binomials.
<h3>
Polynomial</h3>
Polynomial is an expression that involves only the operations of <em>addition, subtraction, multiplication </em>of variables.
Given the polynomial x(5x²+10x+15), it is not completely factored, 5x²+10x+15 can still be factored,
Find out more on Polynomial at: brainly.com/question/2833285
Hello Friend,here is the solution for your question
<span>so the given function is </span>
y= √(-2cos²x+3cosx-1)
i.e = √[-2(cos²x-3/2+1/2)]
i.e = √[-2(cosx-3/4)²-9/16+1/2]
i.e. = √[-2(cos-3/4)²-1/16]
i.e. = √[1/8-3(cosx=3/4)²]-----------(1)
Now here in this equation is this quantity :-
<span>(cosx=3/4)²----------------(2) is to it's minimum value then the whole equation </span>
<span>i.e. = √[1/8-3(cosx=3/4)²] will be maximum and vice versa </span>
And we know that cosx-3/4 will be minimum if cosx=3/4
<span>therefore put this in (1) we get </span>
(cosx=3/4)²=0 [ cosx=3/4]
<span>hence the minimum value of the quantity (cosx=3/4)² is 0 </span>
<span>put this in equation (1) </span>
we get ,
i.e. = √[1/8-3(cosx=3/4)²]
=√[1/8-3(0)] [ because minimum value of of the quantity (cosx=3/4)² is 0 ]
=√1/8
=1/(2√2)
<span>this is the maximum value now to find the minimum value </span>
<span>since this is function of root so the value of y will always be ≥0 </span>
<span>hence the minimum value of the function y is 0 </span>
<span>Therefore, the range of function </span>y is [0,1/(2√2)]
__Well,I have explained explained each and every step,do tell me if you don't understand any step._
Answer:
f(r) = 2πr
Step-by-step explanation:
You know the formula for circumference in terms of radius is ...
C = 2πr
You are being asked to write this as a function named "f". That will be ...
f(r) = 2πr
