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Question 1145616: Which ordered pair is a solution to the equation y=9x-4

Click here to see answer by josgarithmetic(39613)

Question 1145867: A man in a rowboat that is a = 4 miles from the nearest point A on a straight shoreline wishes to reach a house located at a point B that is b = 10 miles farther down the shoreline. He plans to row to a point P that is between A and B and is x miles from the house, and then he will walk the remainder of the distance.
Suppose he can row at a rate of 3 mi/hr and can walk at a rate of 5 mi/hr. If T is the total time required to reach the house, express T as a function of x.

Click here to see answer by Theo(13342)

Question 1145907: what do you consider that a function is continuous.How to see if it exists.

Show by means of an example that limit as x approaches a[f(x)+g(x)] may exist even through neither limit as x approaches a f(x) nor limit as x approaches a g(x)exists.
Show by means of example that limit as x approaches a [f(x)*g(x)] may exist even through neither limit as x approaches a f(x) nor limit as x approaches a g(x) exists
Click here to see answer by ikleyn(52754)

Question 1145899: Suppose the value R(d) of d dollars in euros is given by R(d)=6/7d. The cost in dollars to purchase and ship n purses is given by P(n)=66n+23. Write a formula for the cost in euros to purchase and ship n purses.
Click here to see answer by ikleyn(52754)

Question 1145939: show by means of example that limit as x approaches a [f(x)+g(x)] may exist even though neither limit as x approaches a f(x) nor limit as x approaches a g(x) exists
Click here to see answer by ikleyn(52754)

Question 1145962: Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions
x-intercepts: −1 and 7 highest point has y-coordinate 4
Click here to see answer by josgarithmetic(39613)

Question 1145971: Find a general form of an equation of the line through the point A that satisfies the given condition.
A(8, −1); perpendicular to the line 5x − 5y = 4
Click here to see answer by josgarithmetic(39613)

Question 1145973: Triangle ABC is inscribed in a semicircle of diameter a = 12
(a) If x denotes the length of side AC, express the length y of side BC as a function of x. (Hint: Angle ACB is a right angle.)
(b) Express the area 𝒜 of triangle ABC as a function of x.
(c) State the domain of this function.
Click here to see answer by ikleyn(52754)

Question 1145972: In 1870 the average ground temperature in Paris was 11.8°C. Since then it has risen at a nearly constant rate, reaching 13.5°C in 1969.
(a) Express the temperature T (in °C) in terms of time t (in years), where t = 0 corresponds to the year 1870 and 0 ≤ t ≤ 99. (Give your answer in slope-intercept form.)
(b) During what year was the average ground temperature 12.7°C?
Click here to see answer by josgarithmetic(39613)

Question 1145974: Let y = f(x) be a function with domain D = [−6, −2] and range R = [−10, −4].
Find the domain D and range R for each function. (Enter your answers using
interval notation
a) y = f(2x)
b) y = f(x − 2) + 5
c) y = f(x + 4) − 1
d) y = f(−x)
e) y = −f(x)
f)y = |f(x)|
Click here to see answer by Edwin McCravy(20054)

Question 1146048: Find a general form of an equation of the line through the point A that satisfies the given condition.
A(8, −1); perpendicular to the line 5x − 5y = 4
i got y + 1 = -1 (x - 8) but its wrong. can someone plese help
Click here to see answer by josgarithmetic(39613)

Question 1146177: The length of a rectangle is 1 meter more than twice the width. If the rectangle’s area is 36 square meters, find its dimensions.
Click here to see answer by josgarithmetic(39613)

Question 1146611: Find k so that the line containing the points (-3,k) and (6,10) is parallel to the line containing the points (5,4) and (1,-3).
Click here to see answer by josmiceli(19441)

Question 1146621: f(x)=3x-6
Evaluate f(-4)
f(-4)=
solve for f(x)=-3
x=
Click here to see answer by josgarithmetic(39613)

Question 1146815: Find the domain t(x)=(-3x+4x)÷(sqrt6x-6)

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Question 1146815: Find the domain t(x)=(-3x+4x)÷(sqrt6x-6)

Click here to see answer by ikleyn(52754)

Question 1146969: Evaluate the piecewise defined function at the indicated values.

x^2+4x
x
-1
f(-2)
f(-3/2)
f(-1)
f(0)
f(25)
Click here to see answer by ikleyn(52754)

Question 1146991: Give the domain of r(x)= (-5x^2-5x)÷(sqrt 10-6x)
Click here to see answer by ikleyn(52754)

Question 1147105: Given g(u)=14+5u2 and k(u)=5u−14,find (gk)(u).
Click here to see answer by ikleyn(52754)

Question 1147106: Find (g,∘,g)(1)for g(x)=4x2+3x−3.
(g,∘,g)(1)=
Click here to see answer by ikleyn(52754)

Question 1147205: what is the slope and y-intercept of -x-3y=18
Click here to see answer by Alan3354(69443)

Question 1147214: Write a linear function f with the values f(2)=4 and f(−7)=9
Click here to see answer by josmiceli(19441)

Question 1147418: The revenue at the Assembly Center depends on the number of seats sold for the Willie Williams and the Wranglers concert. At $10 per ticket, they will fill all 8000 seats. The manager knows that for every $1 increase in the price, 500 tickets will go unsold. If the revenue in dollars, 𝑅(𝑝), is given by
𝑅(𝑝) = −500𝑝^2 + 13000𝑝, where 𝑝 is the price per ticket sold.
What ticket price will produce a maximum revenue? What is the maximum
revenue? You must show this algebraically.
Click here to see answer by josmiceli(19441)

Question 1147419: The revenue at the Assembly Center depends on the number of seats sold for the Willie Williams and the Wranglers concert. At $10 per ticket, they will fill all 8000 seats. The manager knows that for every $1 increase in the price, 500 tickets will go unsold. If the revenue in dollars, 𝑅(𝑝), is given by
𝑅(𝑝) = −500𝑝^2 + 13000𝑝, where 𝑝 is the price per ticket sold.
Find the number of unsold seats that resulted in this maximum revenue given the following 𝑛 = 13000 − 500𝑝 where 𝑛 is the number of seats sold and 𝑝 is the price.
You must show this algebraically
Click here to see answer by Theo(13342)

Question 1147465: Which has the greatest value: f(-3), g(-3), or h(-3)? Prove mathematically.
Click here to see answer by Alan3354(69443)

Question 1147527: I had to solve a function with a rule of f(x)=2t^2+1 for f(-3). I got the question wrong because I didn't know what "t" was, but I'm curious to know the answer.
Click here to see answer by ikleyn(52754)

Question 1147540: a polynomial with a degree of 5 and with zeroes of -1, -i , -8+I. what Is the polynomial

Click here to see answer by josmiceli(19441)

Question 1147555: Please I need help starting this compostion function problem.
1.Find g(f(x)
f(x)=(x-5)/(2y+3)
g(x)=(3x+5)/(1-2x)
Click here to see answer by josgarithmetic(39613)

Question 1147555: Please I need help starting this compostion function problem.
1.Find g(f(x)
f(x)=(x-5)/(2y+3)
g(x)=(3x+5)/(1-2x)
Click here to see answer by ikleyn(52754)

Question 1147632: Use the following function rule to find f(0).
f(x) =(5)^x + 11
f(0) =
Click here to see answer by Alan3354(69443)

Question 1147651: Suppose a particular antibiotic that is introduced to a petri dish containing 3000 newly discovered flesh-eating bacteria makes a third of it die every hour. How many bacteria is left after 19 hours?
Click here to see answer by josgarithmetic(39613)

Question 1147668: Equations x = 3cost and y = 3sint represent eqation of
Click here to see answer by Alan3354(69443)

Question 1147667: Equations x = 3cost and y = 3sint represent eqation of
Click here to see answer by Alan3354(69443)

Question 1147712: I need help creating A LINEAR FUNCTION that uses the # of miles as the input & provides the total car rental cost (including gas) for the entire trip as the output.
The car rental fee is $39.23 per day. Mileage fee of $.43 per mile. It is assumed the rental car gets 32 miles per gallon and gas costs $2.88 a gallon. I already have: f(x)=$.52 x (miles driven) + $___________
Using the f(x)= mx + b model, I can't get the second amount for the life of me!
Click here to see answer by rothauserc(4718)

Question 1147780: “A quartic function in the form f(x) = ax^4 + bx^3 + cx^2 + dx + e is such that the coefficient of the quadratic and linear terms are 10 and -18 respectively. Additionally, f(0) =9 and x=1 is a root with a multiplicity of two. What is the value of (a +b)?
Click here to see answer by greenestamps(13195)

Question 1147778: What is the domain and the range of the function F defined by f= (2,3),(1,4),(5,4),(0,3

Click here to see answer by greenestamps(13195)

Question 1147777: What is the domain and the range of the function F defined by f= (2,3),(1,4),(5,4),(0,3

Click here to see answer by greenestamps(13195)

Question 1148082: For the function below neatly solve for x. Show all work.
𝑓(𝑥) = 6𝑥^3 + 25𝑥^2 − 24𝑥 + 5
Once you have the function down to a factorable function, either factor (if possible or use the quadratic formula to find the remainder of the zeros (real and/or imaginary).
Be sure that the number of solutions matches the degree. Put solutions in a
solution box (i.e. write all solutions together and circle/box them)
Click here to see answer by Alan3354(69443)

Question 1148137: If f(x) = 7^x, then what does f(x+3)-f(x+1) equal?
Click here to see answer by ikleyn(52754)

Question 1148140: If a = 3^3^2^3, and b = (((3³)³)³)³, what is a/b expressed as a power of 3?
Click here to see answer by MathLover1(20849)

Question 1148343: H(x)=2(f(x)) + 4. Find h(5)
I know that the answer is 24, but for some reason I keep getting 14.
Click here to see answer by ikleyn(52754)

Question 1148345: H(x)=2(f(x)) + 4. Find h(5)
My teacher said the answer is 24, but I don’t know how to get that. Please help.
Click here to see answer by ikleyn(52754)

Question 1148429: Determine whether f and g are inverse functions by evaluating f(g(x)) and g(f(x)).
f(x)=x^2-2, domain [0, ∞)
g(x)= , domain [-2,∞)
Evaluate f(g(x)).
f(g(x))= (Simplify your answer.)
Evaluate g(f(x)).
g(f(x))= (Simplify your answer.)
Are f(x) and g(x) inverse functions?
Click here to see answer by Theo(13342)

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