[0 , + infinity)
The graph of f(x - 5) is that of f(x) shifted 5 units to the right and
therefore no change to the range. However since the graph of - f(x - 5) is
that of f(x - 5) reflected on the x a
Simplify the polynomial and write it in standard form:
(-x3 + 4)(x + 2) - (2x - 1)(5x)
Questions 8:
Simplify the polynomial and write it in standard form:
(x2 + 5)(x + 5) - 3x2(3x + 1)
Questions 9:
Si
Hence
log 2 (x / 4) = log 2 (411)
= log 2 (22)11)
= log 2 (222)
= 22
Questions 4:
The population of a country increased by an average of 2% per year
from 2000 to 2003. If the population of this countr
Questions 3:
Find, if possible, the slope of the line through the points (-9 , 4) and (-9 , 2).
Questions 4:
Line L passes through the points (4 , -5) and (3 , 7). Find the slope of any
line perpendic
Questions 12:
The three s of the equation f(x) = 0 are -2, 0, and 3. Therefore, the three
s of the equation f(x - 2) = 0 are
If f(x) = 0 at x = -2, 0 and 3 then f(x - 2) = 0 for
x - 2 = -2 , x - 2 = 0
right, stretched vertically by a factor of 2, reflected on the x axis and
shifted up by 3 units. A point of y = f(x) will undergo the same
transforamtions. Hence
Point (a , b) on the graph of y = f(x)
Questions 1:
If Logx (1 / 8) = - 3 / 2, then x is equal to
Rewrite the logarithmic equations using exponential equation
x- 3 / 2 = 1 / 8
The above equation may be rewritten as
x - 3 / 2 = 1 / 23 = 2-3
Simplify the polynomial and write it in standard form:
2(x2 - 3x - 2) - (-3x2 + 7x -1 )
Questions 4:
Simplify the polynomial and write it in standard form:
-3(x3 - x2 - 2x - 5) - (4x3 - 7x -1 )
Questi
z = (x - m) /s = (0.8 s + m - m) / s = 0.8
The percentage of student who scored above Jane is (from table of
normal distribution).
1 - 0.7881 = 0.2119 = 21.19%
The number of student who scored above J
(4/3)*pi*r3 = 2.4 pi
Solve the above for r
r = 1.2 cm
Questions 21:
The period of 2 sin x cos x is
According to trigonometric identities, 2 sin x cos x = sin(2x) and the
period is given by.
19) (4 , + infinity)
20) (- infinity , -5) U (2 , + infinity)
Questions 11:
Find an equation of the line through the points (-3 , 5) and (9 , 10) and
write it in the standard form Ax + By = C, with A
Questions 20:
When a metallic ball bearing is placed inside a cylindrical container, of
radius 2 cm, the height of the water, inside the container, increases by
0.6 cm. The radius, to the nearest tent
Questions 8:
When a parabola represented by the equation y - 2x 2 = 8 x + 5 is
translated 3 units to the left and 2 units up, the new parabola has its
vertex at
First rewrite y - 2x 2 = 8 x + 5 as
y =
Since books C and D are arranged first and second, only books A, B and
E will change order. Therefore it an arrangement problem involving 3
items and the number of different order is given by
3!
Quest
A. ln 1.56 / ln 2
B. ln 2 / ln 1.56
C. 2 / ln 1.56
D. ln 2 / 1.56
Questions 13:
The reference angle to angle a = -1280o is equal to
A. 20o
B. 30o
C. 160o
D. 60o
Questions 14:
If x is an angle in stand
f is a function such that f(x) < 0. The graph of the new function g
defined by g(x) = | f(x) | is a reflection of the graph of f
A. on the y axis
B. on the x axis
C. on the line y = x
D. on the line y
Questions 7:
Write an equation, in the slope intercept form, of the line with an xintercept at (3 , 0) and a y-intercept at (0 , -5).
Questions 8:
Write an equation, in the slope intercept form, of th
Questions 11:
For x greater than or equal to zero and less than or equal to 2 pi, sin x
and cos x are both decreasing on the intervals
A. (0 , pi/2)
B. (pi/2 , pi)
C. (pi , 3 pi / 2)
D. (3 pi / 2 , 2
Questions 2:
What is the domain of g(x) = 1 / (- x + 8).
Questions 3:
Find the domain of h(x) = (x - 6) / (2x - 8).
Questions 1:
Simplify the polynomial and write it in standard form:
2(x + 3) - (-3x
C, such that a and A have different signs and that the quantities b 2 - 4 a c
and B 2 - 4 A C are both negative,
A. intersect at two points
B. intersect at one point
C. do not intersect
D. none of the
x = 2 or x = 4
Math Questions With Answers (6)
Math questions on slopes and equations of lines. Answers to these
questions are also provided and are located at the lower part of the page.
Questions 1:
Solve the following logarithmic equations.
A. ln(ln(x) = 4
B. ln(x) - ln(4) = 2 ln(x) - ln(16)
C. (ln(x)
5
= 255/2
D. Log(x - 1) = Log(6) - Log(x)
E. Log3(3x+1 - 18) = 2
F. Log7(x) + Logx(7) = 2
G. Lo
A. 5 / 3
B. -5 / 3
C. -3 / 5
D. 3 / 5
Questions 15:
If x is an angle in standard position and it terminal side is in quadrant IV
and is given by y = -x, then sin(x) =
A. sqrt 2
B. 1 / sqrt 2
C. - sqrt
Write the equation of the line parallel to the line x = 5 and passing through
the point (3 , -10).
Questions 15:
Write the equation of the line perpendicular to the line x = 2 and passing
through the
is
There are C(5,2) ways to select 2 teachers from 5 and C(10,4) ways to
select 4 students from 10 where C(n,r) is the combinations of n items
taken r at the time. Using the multiplication counting pr
D. perpendicular
let us find the slopes of the two lines
a x + b y = c , slope m1 = - a / b
b x - a y = c , slope m2 = b / a
m1*m2 = (- a / b)(b / a) = - 1
The two lines are perpendicular
Questions 10