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Type: Posts; User: Thomas

1. ## Thread: SAT Subject test Math level 2 Vectors

by Thomas
Replies
2
Views
6,033

Vector addition can be performed simply by adding the corresponding components of the vectors and in order to perform scalar multiplication, you need to multiply the scalar by each component of the...
2. ## Thread: Vectors SAT Subject test Math level 2

by Thomas
Replies
2
Views
3,067

Vector addition can be performed simply by adding the corresponding components of the vectors and in order to perform scalar multiplication, you need to multiply the scalar by each component of the...
3. ## Thread: Logarithms SAT Subject test Math level 2

by Thomas
Replies
2
Views
2,830

### From the definition of the logarithm we have that...

From the definition of the logarithm we have that log_{c}25=2 \Rightarrow
log_{c}25=2 \Rightarrow c^2=25 \Rightarrow c=\sqrt{25}

Therefore the correct answer is (C)
4. ## Thread: Hyperbola Subject test Math level 2

by Thomas
Replies
2
Views
2,926

### The point of intersection between the hyperbola...

The point of intersection between the hyperbola \frac{x^2}{4}-\frac{y^2}{25}=1
and the x-axis can be found setting y equal to zero and then solve for x.

\frac{x^2}{4}-\frac{y^2}{25}=1...
5. ## Thread: negative number question

by Thomas
Replies
2
Views
2,575

### Statement (I) could be true since a-b

Statement (I) could be true since a-b<0 \Rightarrow a<b and if both a and b are negative then a-b<0.

So, we can eliminate each choice doesn’t contain statement (I), (B), (C) and (E).

Next we...
6. ## Thread: sat math question

by Thomas
Replies
2
Views
2,505

### First solve the quadratic equation x^2-2x+1=0...

x^2-2x+1=0 \Rightarrow (x-1)^2=0 \Rightarrow x=1

and then plug in this value to the expression x-1=1-1=0

Therefore the correct answer is (A).
7. ## Thread: sat math inequality question

by Thomas
Replies
2
Views
2,768

### We have to solve the inequality and then count...

We have to solve the inequality and then count all the positive integers that satisfy it.

-23<3x+1 \leq 13 \Rightarrow -24<3x \leq 12

-24<3x \leq 12 \Rightarrow -8<x \leq 4

So, the...
8. ## Thread: trigonometry sat subject test math

by Thomas
Replies
2
Views
2,768

### We know that cosec(x)=\frac{1}{sin(x)} So, ...

We know that cosec(x)=\frac{1}{sin(x)}

So, cosec(x)=\frac{1}{sin(x)}=\frac{3}{2} \Rightarrow sin(x)=\frac{2}{3}

From the following trigonometric identity

(sin(x))^2+(cos(x))^2=1

we can...
9. ## Thread: arithmetic sequence sat math

by Thomas
Replies
2
Views
2,380

### If the terms 2a-4 , \ a+4, \4a+5 are consecutive...

If the terms 2a-4 , \ a+4, \4a+5 are consecutive terms of an arithmetic sequence then

(a+4)- (2a-4)=(4a+5)-(a+4) \Rightarrow a+4-2a+4=4a+5-a-4 \Rightarrow

-a+8=3a+1 \Rightarrow 4a=7...
10. ## Thread: domain of a function sat math

by Thomas
Replies
2
Views
2,716

### The base of a logarithm must be greater than zero...

The base of a logarithm must be greater than zero and different than one.
x>0 \ and \ x\neq 1

The argument of a logarithm must be greater than zero.
x^2-1 >0 \Rightarrow (x-1)(x+1) >0...

by Thomas
Replies
2
Views
2,699

### SAT math simplify fractions

SAT math simplify fractions question

\frac{x}{y}=k \Rightarrow x=ky

\frac{z}{w}=k \Rightarrow z=kw

So, the fraction will be

by Thomas
Replies
2
Views
3,131

### SAT probability question

SAT math probability question

The probability of choosing a white marble in the first selection is \frac{3}{9}=\frac{1}{3},
the probability of choosing a white marble in the second selection...
13. ## Thread: SAT math probability

by Thomas
Replies
2
Views
3,130

### SAT math probability

SAT math probability question

The possible positive integer pairs for a and b in order to satisfy the equation a + b = 6 are (1,5), (2,4), (4,2), (5,1). The pair (3,3) is omitted, since a and...
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