# Search:

Type: Posts; User: Oliver

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1. ## Thread: Composite functions

by Oliver
Replies
2
Views
2,784

### First we find the value of f(4) which is equal to...

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...
2. ## Thread: Trigonometry double angle formula

by Oliver
Replies
2
Views
2,523

### The double angle formula is given by cos2x=...

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...
3. ## Thread: SAT subject Complex zeroes

by Oliver
Replies
2
Views
2,639

### Complex roots occur in conjugate pairs which...

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...
4. ## Thread: SAT math Remainder theorem

by Oliver
Replies
2
Views
2,476

### The Remainder Theorem states that if a polynomial...

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...
5. ## Thread: logarithms exponential

by Oliver
Replies
2
Views
2,642

### Thanks Nicole!

Thanks Nicole!
6. ## Thread: logarithms exponential

by Oliver
Replies
2
Views
2,642

### logarithms exponential

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)
7. ## Thread: Conic Sections

by Oliver
Replies
2
Views
3,250

### Thanks for your quick response!:)

Thanks for your quick response!:)
8. ## Thread: Conic Sections

by Oliver
Replies
2
Views
3,250

### Conic Sections

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
9. ## Thread: median question

by Oliver
Replies
2
Views
5,511

### Thanks! Nice solution!!:)

Thanks! Nice solution!!:)
10. ## Thread: median question

by Oliver
Replies
2
Views
5,511

### median question

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
11. ## Thread: trigonometry question

by Oliver
Replies
2
Views
2,499

### Thanks Nicole!

Thanks Nicole!
12. ## Thread: trigonometry question

by Oliver
Replies
2
Views
2,499

### trigonometry question

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}
13. ## Thread: straight line question

by Oliver
Replies
2
Views
2,517

### Thank you!!:)

Thank you!!:)
14. ## Thread: straight line question

by Oliver
Replies
2
Views
2,517

### straight line question

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) ...
15. ## Thread: Composition of functions

by Oliver
Replies
2
Views
2,582

### Thanks Nicole!!;)

Thanks Nicole!!;)
16. ## Thread: Composition of functions

by Oliver
Replies
2
Views
2,582

### Composition of functions

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

by Oliver
Replies
2
Views
2,877

18. ## Thread: x-intercepts question

by Oliver
Replies
2
Views
2,877

### x-intercepts question

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)
19. ## Thread: vertex of parabola

by Oliver
Replies
2
Views
2,307

### Thanks for your quick response!!

Thanks for your quick response!!
20. ## Thread: vertex of parabola

by Oliver
Replies
2
Views
2,307

### vertex of parabola

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)
21. ## Thread: Newly defined symbol question

by Oliver
Replies
2
Views
2,120

### Thank you very much for you quickly answer!!:)

Thank you very much for you quickly answer!!:)
22. ## Thread: Newly defined symbol question

by Oliver
Replies
2
Views
2,120

### Newly defined symbol question

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

by Oliver
Replies
2
Views
2,917

24. ## Thread: Domain of a function

by Oliver
Replies
2
Views
2,917

### Domain of a function

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

by Oliver
Replies
2
Views
2,038