First we find the value of f(4) which is equal to f(4)=4^2-3=13
Then we check each choice in order to find the one that h(f(4))= h(13)=24
If h(x)= x+11 then h(13)= 13+11=24 .
Therefore...
Type: Posts; User: Oliver
First we find the value of f(4) which is equal to f(4)=4^2-3=13
Then we check each choice in order to find the one that h(f(4))= h(13)=24
If h(x)= x+11 then h(13)= 13+11=24 .
Therefore...
The double angle formula is given by
cos2x= cos^2x- sin^2x=1-2sin^2x=2cos^2x-1
So, cos^22x- sin^22x = cos2(2x)=cos4x=\frac{1}{2} .
Finally the required value is \frac{5}{cos^22x- sin^22x...
Complex roots occur in conjugate pairs which means that if a polynomial with real coefficients has a root of the form a+bi then a-bi is also a root.
Based on the aforementioned theorem we have...
The Remainder Theorem states that if a polynomial p(x) is divided by x-k then the remainder equals p(k).
Based on remainder theorem we have that the remainder of the aforementioned division is equal...
Thanks Nicole!
If 4^a \cdot 4^b =7^{2c}, which one of the following is the value of \frac{a+b}{2c}?
(A) \frac{log7}{log4}
(B) \frac{log4}{ log7}
(C) log4 \cdot log7
(D) log(4 \cdot 7)
Thanks for your quick response!:)
Which one of the following curves is represented by the equation (x-1)^2=9-y^2?
(A) Line
(B) Parabola
(C) Circle
(D) Hyperbola
Thanks! Nice solution!!:)
Which of the following is the median of this list of numbers{2,5,8,9,11,3,5,9,4,24,5,5,10}?
(A) 4
(B) 5
(C) 7
(D) 9
Thanks Nicole!
Which of the following is the value of sin(x) given that sec(x)=\frac{5}{2}?
(A) \frac{\sqrt{21}}{5}
(B) \frac{\sqrt{21}}{2}
(C) \frac{\sqrt{5}}{2}
(D) \frac{\sqrt{5}}{21}
Thank you!!:)
A straight line (l) has equation -5y=4-2x , which of the following is the slope of a perpendicular line to line (l)?
(A) \frac{5}{2}
(B) \frac{2}{5}
(C) \frac{-5}{2}
(D) ...
Thanks Nicole!!;)
If f(x)=x+4 , g(x)=x^2-2 and h(x)= \sqrt{x}, which of the following is f(g(h(x)))?
(A) x+2
(B) (x+2)^2
(C) (x+4)^2
(D) x+4
Thank you for your prompt reply!
Which of the following are the x-intercepts of the parabola y=x^2-5x+6?
(A) (0,2) \ and \ (0,3)
(B) (2,0) \ and \ (3,0)
(C) (-2,0) \ and \ (3,0)
(D) (-2,0) \ and \ (-3,0)
Thanks for your quick response!!
Which of the following is the vertex of the parabola y=2(x+2)^2-7?
(A) (2,-7)
(B) (-2,7)
(C) (-2,-7)
(D) (2,7)
Thank you very much for you quickly answer!!:)
The operation @ is defined as a@b=(a+b)^2-a. Which one of the following is the result of a@a@a?
(A) 4a^2-a
(B) 16a^2-a
(C) 4a^4-a
(D) 16a^4-a
Thank you for your quick reply!;)
Which of the following is the domain of the function f(x)=log_{x-2}(x^2-4)?
(A) x \neq3
(B) x>2
(C) x>2 \ and \ x \neq3
(D) x>0 \ and \ x \neq3
thanks for your answer!;)