Tutors Answer Your Questions about Human-and-algebraic-language (FREE)
Question 120077: Hello can you help me with this.
Calculate the value of the discriminant of x^2+4x+4=0
By examining the sign of the discriminant in part a, how many x-intercepts would the graph of y=x^2+4x+4 have? Why?
Thanks
Click here to see answer by josmiceli(9697)   |
Question 120078: The path of a falling object is given by the function s=-16t^2+v0t+s0 where v0 represents the initial velocity in ft/sec and s0 represents the initial height in feet.
If a rock is thrown upward with an initial velocity of 32 feet per second from the top of a 40-foot building, write the height (s) equation using this information.
How high is the rock after 0.5 second?
After how many seconds will the graph reach maximum height?
What is the maximum height?
Click here to see answer by stanbon(57410) |
Question 120074: Please help
Use the graph of y=x^2+4x-5 to answer the following.
Using the graph, what are the solution(s) to the equation x^2+4x-5=0
Does this function have a maximum or a minimum?
What are the coordinates of the vertex in (x, y) form?
What is the equation of the line of symmetry for this graph?
Thank you
Click here to see answer by stanbon(57410) |
Question 120083: I'm sorry I lefted this out. Please help
Use the graph of y=x^2+4x-5 to answer the following.
Using the graph, what are the solution(s) to the equation x^2+4x-5=0
Explain how you obtain your answer(s) by looking at the graph
Does this function have a maximum or a minimum?
Explain how you obtain your answer(s) by looking at the graph
What are the coordinates of the vertex in (x, y) form?
What is the equation of the line of symmetry for this graph?
Thank you
Click here to see answer by stanbon(57410) |
Question 120464: 5. IF A CERTAIN NUMBER IS ADDED TO BOTH THE NUMERATOR AND THE DENOMINATOR OF THE FRACTION 7/9, THE RESULT 5/7.
7. THE SUM OF THE RECIPROCALS OF TWO CONSECUTIVE EVEN INTERGERS IS 5/12. FIND THE INTERGERS.
Click here to see answer by ptaylor(2048)  |
Question 120766: A person traveling 4 hours by plane and 25 hours by ship covers 1580 miles. If the speed of the plane had been one-half of the actual speed and the speed of the ship had been one-fourth greater, the person would have traveled only 1315 miles in the same length of time. Find the speeds of the plane and the ship.
Click here to see answer by ankor@dixie-net.com(15661)  |
Question 120787: Hello, I'm completely lost. Can anyone help me with this. Please provide sources if you can. Thanks
Using the Library, web resources, and/or other materials, find a real-life application of a quadratic function. State the application, give the equation of the quadratic function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application. Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as t and S depicted in the following example. Be sure to reference all sources using APA style.
Typing hint: To type x-squared, use x^2. Do not use special graphs or symbols because they will not appear when pasted to the Discussion Board.
When thrown into the air from the top of a 50 ft building, a ball’s height, S, at time t can be found by S(t) = -16t^2 + 32t + 50. When t = 1, s = -16(1)^2 + 32(1) + 50 = 66. This implies that after 1 second, the height of the ball is 66 feet. When t = 2, s = -16(2)^2 + 32(2) + 50 = 50. This implies that after 2 seconds, the height of the ball is 50 feet.
Click here to see answer by stanbon(57410) |
Question 121767: I would really appreciate your help solving this problem. I have tried many different times and really do not know how to go about solving it. My attempts to solve are shown below the problem. Thank you.
Sue and Treg just started dating on Jan 1, 2008. Treg has every 9th day off startiing on Sunday. Sue has every 6th day off starting on monday. Sue's dad says that they can borrow his new car to go on a date into Chicago the next time that she and Treg both have the same day off. After a month, Sue is convinced that they will NEVER have the same day off. Treg doesn't believe that this can be the case. With whom do you agree?
I believe that they will have a day off because 6 & 9 are the same multiplier, they are each multiples of 3. I just do not know how to make the formula to answer the question. I tried this formula and it didn't work.
1/9 + 1/6 = 1/x
x18=x18
18/9+18/6 = 18/x
2+3=18/x
5=18/x
5x=18
x=3.6
Click here to see answer by ankor@dixie-net.com(15661) |
Question 122042: Solve algebraically?
Solve algebraically and check your potential solutions:
squareroot(x+2) -x=0
I know that the answers are x=2, x=How do I know for sure they are correct after checking them. X=2 works out but x=-1 is funny. Thanks
Click here to see answer by solver91311(16897)  |
Question 122043: An application of a rational function is Young's rule, which approximates the dosage of a drug prescribed for children. What is the mathematical equation for Young's rule, stating what each variable in the equation represents?
Thank you.
Click here to see answer by Fombitz(13828)  |
Question 122375: I need to solve with a system of linear equations and I don't know how to write the equation.
The new parking lot has spaces for 450 cars. The ratio of spaces for full-sized cars to compact cars is 11 to 4. How many spaces are for full-sized cars? How many spaces are for compact cars?
I just need the equation. thanks!
Click here to see answer by scott8148(6628)  |
Question 122373: I need to solve with a system of linear equations and I don't know how to write the equation.
The new parking lot has spaces for 450 cars. The ratio of spaces for full-sized cars to compact cars is 11 to 4. How many spaces are for full-sized cars? How many spaces are for compact cars?
I just need the equation. thanks!
Click here to see answer by ankor@dixie-net.com(15661) |
Question 122424: a roof measuring 16 ft by 20 ft is to be covered with asphalt roofing cement. how much would the project cost if the asphalt roofing cement spreads at the rate of 150 square feet per gallon and cost $4.75 per gallon? the cement is purchased by the gallon only
Click here to see answer by edjones(7569)  |
Question 122563: Dan is on a 3-day hike. The first day he hikes 1/3 of the trail. The next day he hikes 1/3 of the trail plus 2.4 kilometers. The last day he hikes 5.6 kilometers to the end of the trail. How long is the trail?
Click here to see answer by rapaljer(4667)  |
Question 123132: Hello can you help me with this please.
State the domain of the following with and explantion to your answer:?
a) f(x)=squareroot x+4
---------------
b) g(x)=2x+1\x-3
---------------
c) h(x)=3x^2+5x-3
-----------------
d) l(x)=2x+3
------------------
e) m(x)=3\x^2+7
Click here to see answer by MathLover1(6641)  |
Question 123137: Sorry I missed out a word. Should be integers not whole number.?
Please help, Consider the function f(x)=x^2+4x+1?
Consider the function f(x)=x^2+4x+1
a) Find h, the x-coordinate of the vertex of this parabola.
-------------------------...
b) Substitute the two integers immediately to the left and right of H into the function to find the corresponding Y. Fill in the table below. Make sure your X-values are in increasing order in your table.
Click here to see answer by stanbon(57410) |
Question 123173: Could you please write this out in an algebraic expression
Three times a number and 3/4 is equal to five times the product of a number and 2
by the way this is not a test i am math tutor but students are getting this wrong after i translate and i want to make sure the book is correct or possibly not. thanks you
Katy Hendry
Click here to see answer by ankor@dixie-net.com(15661) |
Question 123665: Please just don't get it....Suppose that the function?
Suppose that the function P=13+45ln x represents the percentage of inbound e-mail in the U.S. that is consideed spam, where x is the number of years after 2000.
Carry all calculations to six decimals on each intermediate step, when necessary.
a) Use this model to approximate the percentage of spam in the year 2003.
Answer:
b) Use this model to approximate the year that the percent of spam will reach 95% provided that law enforcement regarding spammers does not change?
Answer:
Click here to see answer by stanbon(57410) |
Question 123661: Thanks you in advance..Find the domain of the following:?
Find the domain of the following:?
a) f(t)=4.5e^t (small t on top of e)
Answer:
Show your work or explain how you obtained your answer here:
b) g(x)=log(x+3)
Answer:
Explain how you obtained your answer here:
c) g(x)=2^x ( same as a, small x on top of 2)
Answer:
Show your work or explain how you obtained your answer here:
d) g(t)=ln(t-1)
Answer:
Explain how you obtained your answer here:
Click here to see answer by Fombitz(13828) |
Question 123659: Please help,The formula for calculating the amount of money?
The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by
A=P(1+r/n)^nt
A is the amount of the return.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the number of compound periods in one year.
t is the number of years.
Carry all calculations to six decimals on each intermediate step, then round the final answer to the nearest cent.
Suppose you deposit $2,000 for 5 years at a rate of 8%.
a) Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place.
Answer:
Show work in this space.
b) Calculate the return (A) if the bank compounds monthly (n = 4). Round your answer to the hundredth's place.
Answer:
Show work in this space
c) If a bank compounds continuously, then the formula used is A=Pe^rt
where e is a constant and equals approximately 2.7183.
Calculate A with continuous compounding. Round your answer to the hundredth's place.
Answer:
Show work in this space
e) A commonly asked question is, “How long will it take to double my money?” At 8% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place.
Answer:
Show work in this space
Click here to see answer by Fombitz(13828) |
Question 124495:
Biologists want to set up a station to test alligators in the lake for West Nile Virus. Suppose that the costs for such a station are $2,500 for setup costs and $3.00 to administer each test.
Write an expression that gives the total cost totest x animals.
You can find the average cost per animal by dividing total costs by number of animals. Write the expression that gives the average cost per animal.
Find the average cost per animal for 10 animals, 100 animals. 1,000 animals.
Click here to see answer by checkley71(8403) |
Question 124890:
there are four numbers. the first is twenty less the second, the third is one more than twice the first and the forth is four more than the third. we also know that the sum of the second equals the sum of the third and fourth numbers. find the numbers.
Click here to see answer by stanbon(57410) |
Question 124890:
there are four numbers. the first is twenty less the second, the third is one more than twice the first and the forth is four more than the third. we also know that the sum of the second equals the sum of the third and fourth numbers. find the numbers.
Click here to see answer by checkley71(8403) |
Question 124942: Janet and Marcus work for a landscaping company. Their project involves making a garden with a 4-foot-wide walkway on each side of a 50-foot square piece of land. The plan for the project is shown. What is the area of the garden in square feet, not including the walkway?
Click here to see answer by checkley71(8403) |
Question 124902: there are four numbers. the first is twenty less the second, the third is one more than twice the first and the forth is four more than the third. we also know that the sum of the second equals the sum of the third and fourth numbers. find the numbers.:
there are four numbers. the first is twenty less the second, the third is one more than twice the first and the forth is four more than the third. we also know that the sum of the second equals the sum of the third and fourth numbers. find the numbers.
this is a grade 8 algebra question so no calculators so i need to understand how to get the answer from start to finish step by step. THANKS THANKS THANKS
Click here to see answer by ankor@dixie-net.com(15661) |
Question 125178: Using the Library, web resources, and/or other materials, find a real-life application of a quadratic function. State the application, give the equation of the quadratic function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application. Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as t and S depicted in the following example. Be sure to reference all sources using APA style.
Click here to see answer by stanbon(57410) |
Question 125279: Hello can someone please try and solve these problems, i would greatly appericiate it!!
J. Rivera.
1) State the domain of the following:
a)
Answer:
b)
2x+1 OVER x-s
Answer:
c) h(x)=3x^2+5x-3
Answer:
d) l(x)-2x+3
Answer:
e) m(x)=3/x^2-7 m "3 OVER x^2-7"
Answer:
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
Click here to see answer by MathLover1(6641) |
Question 125459: Good afternoon, does anyone know how to solve these two parts? Can you please provide the steps for clarification!! Thanks a bunch!! A) If  , fill in the following table for x = 0, 1, 2, 3, 4. Round to three decimal places where necessary.
X-----Y
0
1
2
3
4
B) Explain why no negative values are chosen as values to substitute in for x.
Click here to see answer by checkley71(8403) |
Question 125464: I'm not able to figure these out, can anyone help me out?
Find the equations of the horizontal and vertical asymptotes for the following. Type none if the function does not have an asymptote.
a)  this is not showing correctly on the preview, it's supossed to be: "f(x)= 2x+3 OVER x+2".
Answer:
Horizontal:
Vertical:
b)  this is not showing correctly on the preview, its supossed to be: "g(x)= 5x OVER x^2+1".
Answer:
Horizontal:
Vertical:
Click here to see answer by uma(370) |
Question 125490: These questions have really got me stumped! I dont understand some problems sometimes, and these are a few of them, they all use the following formula to solve it. Thank you so much, Have a blessed day!!
The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by
A is the amount of the return.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the number of compound periods in one year.
t is the number of years.
Carry all calculations to six decimals on each intermediate step, then round the final answer to the nearest cent.
Suppose you deposit $2,000 for 5 years at a rate of 8%.
a) Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place.
b) Calculate the return (A) if the bank compounds quarterly (n = 4). Round your answer to the hundredth's place.
c) Does compounding annually or quarterly yield more interest? Explain why
d) If a bank compounds continuously, then the formula used is
where e is a constant and equals approximately 2.7183.
Calculate A with continuous compounding. Round your answer to the hundredth's place.
e) A commonly asked question is, “How long will it take to double my money?” At 8% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place.
Click here to see answer by solver91311(16897) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790
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