Math Questions
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Math
Complex numbersFind an nth degree polynomial function with real coefficients satisfying the given conditions.
n=3; 2 and 3 + 2i are zeros: leading coefficient is 1
A. f(x)= x³ + 5x² + 25x - 14
B. f(x) = x³ - 8x² + 25x - 26
C. f(x)=x² - 4x² + 25x - 26
D. f(x)=x³8x² + 15x-26
Math
ProbabilityAt a school there are 10 students taking only
Chemistry, 9 students taking only Physics,
5 students taking both, and 16 students not
taking either. If a student is randomly selected
from the school, what is the probability that
they are taking Chemistry or Physics?
Math
Basic MathHow can we change this fraction
into a decimal?
5/9
Divide the Denominator by the Numerator,
9/5 = 1.8
Divide the Numerator by the Denominator,
5÷9 = 0.5555555555555555555555555...
Math
Basic MathAt noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 7 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)
Math
Basic MathWhich pattern of organization is being used in this passage?
For at least 4,000 years, the wind has been used as an energy source. Unlike fossil
fuel energy (such as diesel oil or gasoline), wind energy is unlimited. Another
difference is that wind energy produces no pollution when it is used to create
electricity. Large windmills or wind turbines capture the wind; the energy from the
turning blades produces electricity. Another distinction is that wind is the fastest
growing energy source in the world.
comparison and contrast
cause and effect
topical/listing
definition
Math
Quadratic equationsOne solution of the quadratic function f ls-5-7i. Which statement is true about this function?
Another solution of function f is 5 + 7i.
Another solution of function is 5 - 7i
Function f has no other solutions.
Another solution of function f is -5 + 7i.
Math
Basic MathAn arithmetic sequence is given below.
-8,-6,-4, -2,0
-8 is the first number in the sequence and n represents the term number. This sequence can be written as an = 2n + m
In this sequence,
Enter the value of m.
Math
Basic MathHow many different four-letter
permutations can be formed
using four letters out of the first
twelve in the alphabet?
Math
CircleIf P = (6, 5) and Q = (2, 1) are the
endpoints of the diameter of a circle,
find the equation of the circle.
Math
FunctionsThe function graphed to the right is of the form y = c + cos x, y = c + sinx,
y = cos (x-d), or y = sin (x-d), where d is the least possible positive value.
Determine the equation of the graph.
Math
ProbabilityThis probability distribution shows the
typical distribution of the number of shoes
in a teenager's closet.
Using this distribution, find the probability
that a teenager has 4 or more pairs of shoes
in their closet.
Math
CircleIf P = (-2, -1) and Q = (-6, -3) are the endpoints of the diameter of a circle, find the equation of the circle.
Math
Basic MathAn angle whose measure is 92° is in standard position. In which quadrant does the terminal side of the angle fall?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Math
ProbabilityAssume the annual salaries of police officers are normally distributed with a mean of $41,000 and a standard deviation of $2000. Determine the percent of police officers with an annual
salary of at least $41,000.
Math
Basic MathCost, Revenue & Profit
For these problems, will represent the number of items and y will represent the money.
The fixed costs for a certain item are $170 per week. The cost to produce each item is $6 per item.
Using this information, what is the cost equation? Give your answer in slope-intercept form:
6x + 170
y =
The retailer intends to sell each item for $21/item.
Using this information, what is the revenue equation? Give your answer in slope-intercept form:
21z
y=
If in this week 16 items are made, and all items are sold in the week, what are the total costs to the
retailer?
Cost = S 166
X
What is the revenue from selling 16 items?
Revenue S 336
=
Finally, what is the profit for this retailer?
Profit $ 170
=
X
Math
Permutations and CombinationsSuppose you choose four books to read from a summer reading list of 12 books. How many different combinations of books are possible?
Math
Basic MathOn a bicycle, Amy rides for 3 hours and is 14 miles from her house. After riding for 5 hours, she is 22 miles away.
What is Amy's rate over the last 2 hours?
Math
Basic MathAngelo makes x dollars for y hours of
work. Sarah makes the same amount of
money working 1 hour less. Which of
the following expressions represents the
positive difference between the two
people's hourly wage?
Enter a, b, c, d, or e.
Math
Quadratic equationsOpen the graphing tool from your tools and graph this system of equations. Then approximate the solutions to this system.
y = 3x²+x-6
y = x - 4
Math
Basic MathFind the equation for the
following parabola.
Focus (3, 4)
Directrix y = 2
A. (x-3)² = 2(y-2.5)
B. (x-3)² = 4(y-3)
C. (x-3)² = (y-4)
D. (y-3)² = 4(x-3)
Math
Basic MathIf a car travels 130 miles on
6 gallons of gasoline, how
many miles would it travel
on 18 gallons?
[?] miles
Enter the number that belongs in the green box.
Math
Basic MathFind x if the distance between
points L and M is 15 and point M is
located in the first quadrant..
L = (-6, 2)
M = (x, 2)
Math
Application of derivativesFind the absolute maximum value on (0, co) for f(x) = 9x - 5x In x.
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The absolute maximum is at x =
(Round to two decimal places as needed.)
B. There is no absolute maximum.
Math
Basic MathFor these problems, □ will represent the number of items and y will represent the money.
The fixed costs for a certain item are $170 per week. The cost to produce each item is $6 per item.
Using this information, what is the cost equation? Give your answer in slope-intercept form:
y =
6T-170
The retailer intends to sell each item for $21/item.
Using this information, what is the revenue equation? Give your answer in slope-intercept form:
Y
If in this week 16 items are made, and all items are sold in the week, what are the total costs to the retailer?
Cost = $ 96
What is the revenue from selling 16 items?
Revenue = $ 336
Finally, what is the profit for this retailer?
Profit = $240
-
Math
Basic MathSolve the equation and check your solutions. If there is no solution, say so.
7 - 5/2x = 15/x
Math
Basic MathA bag contains 10 marbles. Four of
them are red, three blue, two white,
and one yellow. A marble is drawn at
random. What is the probability that it
is not blue?
Math
Basic MathIn how many ways can a
president, vice president, and
treasurer be selected for a
club if the club has 40
members?
Math
Basic MathThe tuition costs, C, for a local community college are
modeled by C(h) = 250 + 200h, where h represents the
number of credit hours taken. The local state university
has tuition costs, S, modeled by the function S(h) = 300 +
180h.
How many credit hours will a student have to take for
the two tuition costs to be equal? Round the answer to
the nearest tenth of an hour.
1. 250+200h = 300 + 180h
2. 250 + 200h = 300 + 180h
-180h
-180h
3. 250+ 20h = 300
h =
credit hours
Math
Solution of trianglesTriangle XYZ is a right triangle with the right angle at vertex Y.
Angle X must be
Angle Z must be
The sum of angles X and Z must be 90°.
Math
Basic MathLet p, q, and r represent the following simple statements.
p: The temperature is below 35°.
q: We finished eating.
r. We go to the slope.
Write the symbolic statement (q^p)-r in words. If the symbolic statement is given without parentheses, statements before and after the most dominant connective
should be grouped. Translate into English.
Choose the correct sentence below.
OA. If we finished eating and the temperature is not below 35°, then we will not go to the slope.
B. If we have finished eating or the temperature is below 35°, then we go to the slope.
C. If we have finished eating, then the temperature is below 35° and we go to the slope.
D. If we have finished eating and the temperature is below 35°, then we go to the slope.
Math
Quadratic equationsFor the following polynomial function, find (A) the degree of the polynomial, (B) all x-intercepts, and (C) the y-intercept.
f(x) = (3x + 2)4(x − 5)5
(A) The degree of the polynomial is.
Math
Sequences & SeriesFind the thirty-second term of the following sequence.
9, 15, 21, ...
199
195
186
Math
Basic MathIf a line has an x-intercept at x = -10 and a y-intercept at y = 9, find its equation in the form y = mx + b.
Math
FunctionsDescribe how the graph of g(x) =1/x+6 - 2 can be obtained from the graph of f(x) = 1/x.
How can the graph of g(x)= 1/x+6 -2 be obtained from the graph of f(x) = 1/x ?
A. Shift the graph left 6 units and up 2 units.
B. Shift the graph right 6 units and up 2 units.
C. Shift the graph left 6 units and down 2 units.
D. Shift the graph right 6 units and down 2 units.
Math
Basic MathThe width of a rectangle is 3
less than its length.
Find the width of the rectangle
if its perimeter is 26 ft.
Math
Basic MathLaura can finish payroll in 3-
hours. It takes Ben 5 hours
to do the same job. If they
work together, how long
should it take them?
Math
Basic MathA red die is tossed and then a green die
is tossed. What is the probability that
the red die shows an even number or
the green die shows an even number?
Make sure your answer is reduced.
Hint: The two events are not mutually exclusive. So
to the find the probability of the union, use:
P(A or B)=P(A) + P(B) - P(A and B)
Math
Permutations and CombinationsIn how many ways can a
person select 3 golf shirts for
vacation from a selection of
10 golf shirts?
Math
Basic MathUsing the following values, find the mean, median, mode and midrange.
58, 51, 38, 49, 59, 46, 62
The mean is (Round to the nearest tenth as needed.)
The median is
Select the correct choice below and fill in any answer boxes within your choice.
A. The mode is
(Use a comma to separate answers as needed.)
B. There is no mode.
The midrange is
Math
Basic MathJohn can finish a certain job
in three hours and Chris can
finish it in two hours.
How many hours will it take
them to finish the job if they
work together?
Math
Basic MathSuppose that the probability that your
mail is delivered before 2 pm is.90.
What is the probability that your mail
will be delivered before 2 pm for two
consecutive days? Give your answer as
a decimal.
Math
Basic MathIt takes Destiny 4 hours to file all
the daily paperwork. It takes
Susan 5 hours to file the same
paperwork. If they work together,
how long will it take them?
Math
Basic MathA mother gives birth to a 9 pound baby. Every 4 months, the baby gains 3 pounds. If z is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y=mx+b that describes the baby's weight.