In the coordinate plane a slope of the line K is 4 times the y-intercept of the line K. What is the x-intercept of the line K? A. -4 B. 4 C. -1/4 D. 1/4 E. 2 ANS: As Y=4mx+m, from 0=4mx+m we get x=-1/4. Hence, the correct answer choice is C.

If x^2=2x+1, x^3 =？ A. 4x B. 5x+2 C. 5x-1 D. 3x+2 E. 3x-2 ==> x^3=x(x^2)=x(2x+1)=2x^2+x=2(2x+1)+x=5x+2 Answer: B

How did you get this part? 2x2+x=2(2x+1)+x

Since x^2 = 2x+1 (given) So, 2 . x^2 = 2 . (2x+1) chandanindira

Let A=6^2^0, B=2^6^0, and C=4^5^0. Which of the following is true? A. A You can compare the big and small numbers by making the base or the exponent the same. From A=6^2^0, B=2^6^0=(2^3)^2^0=8^2^0 , you get 6<8, which becomes A<B, and from B=2^6^0=(2^2)^3^0=4^3^0, C=4^5^0, you get 30<50, which becomes B<C. Thus, you get A<B<C. The answer is A. Answer: A

Which of the following is equal to 3^m7^{m-1} ? A. 3(21^m) B. 7(21^m) C. 3(21^{m-1}) D. 7(21^{m-1}) E. 21^{m-1} ==> From 3^m7^m^-^1=3(3^m^-^1)(7^m^-^1)=3(3*7)^m^-^1=3(21^m^-^1) , the answer is C. Answer: C

\frac{5.09}{0.149} is closest to which of the following? A. 0.34 B. 3.4 C. 34 D. 340 E. 3,400 From \frac{5.09}{0.149} = \frac{5.10}{0.15} = \frac{510}{15} =34 , the answer is C. Answer: C

In the x-y plane, what is the slope between y-intercept and a negative x-intercept of y=x^2+x-6 ? A. -2 B. -3 C. 2 D. 4 E. 6 ==> From y=x2+x-6=(x+3)(x-2)=0, the x-intercept becomes (-3,0) or (2,0), and (0,-6). From these, the negative x-intercept is (-3,0) and the negative y-intercept is (0,-6). The slope of the straight line that passes through the two points becomes \frac{0-(-6)}{-3-0=-2} The answer is A. Answer: A

If m and n are positive integers, what is the number of factors of 3^m7^n ? A. mn+m+n B. m-n+1 C. (m-1)(n-1) D. (m+1)(n+1) E. mn ==> The number of factors of 3^m7^n becomes (m+1)(n+1). The answer is D. Answer:D

Of the people who purchase a house, 60% considers the landscape and 80% considers the color of the house. If 10% of the people who purchase a house considers neither the landscape nor the color of the house, what percent is the people who consider both the landscape and the color of the house? A. 40% B. 45% C. 50% D. 55% E. 60% question.png If you set the intersection as a%, you get the figure above. Then, from (60-a)+a+(80-a)=90, you get 140-a=90 and a=50. Therefore, the answer is C. Answer: C