Tutors Answer Your Questions about Graphs (FREE)
Question 1144621: Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is 35°
celsius. They also find that the temperature decreases by 3° celsius for each kilometer you go up from the surface. Let T represent the temperature (in Celsius), and let
H be the height above the surface (in kilometers). Write an equation relating to T to H, and then graph
Click here to see answer by Theo(13342)   |
Question 1144641: ) Let 𝑓𝑥=2−|𝑥|
(a) State the zero(s) of the function.
(b) Which of the following is true?
A. f is NOT symmetric with respect to the x-axis, y-axis or origin.
B. f is symmetric with respect to the x-axis
C. f is symmetric with respect to the y-axis
D. f is symmetric with respect to the origin
Click here to see answer by josmiceli(19441)  |
Question 1144675: Let f (x) = 4x^2 + 2x - 8 and g(x) = 1 - x.
(a) Evaluate the function g - f for x = - 2. That is, find (g - f)( - 2).
(b) Evaluate the function fg for x = 2. That is, find (f g)(2).
(c) Find the difference function (f - g)(x) and simplify the results.
Click here to see answer by ikleyn(52779)  |
Question 1144750: A tent designer is working on a new tent. The tent will be made from black fabric, which costs $7 per yard, and green fabric, which costs $6 per yard. The designer will need at least 4 yards of black fabric, at least 6 yards of green fabric, and at least 12 yards of fabric overall. The total cost of the fabric used for the tent can be no more than $135. Use this information for Items 1-3.
1. Let x represent the number of yards of black fabric and y represent the number of yards of green fabric.
Write inequalities that model the four constraints in this situation.
2. Graph the constraints on graph paper using a straight edge to draw the axes and lines. Be sure to label each
axis, the units, and lines. You should have work shown to validate your shading.
3. Identify two ordered pairs that are solutions. Explain the meaning of each ordered pairs in a complete
sentence.
4. What is the greatest amount of green fabric the designer can use if all the constraints are met? Explain your
answer in a complete sentence.
5. What is the least amount of black fabric the designer can use if all the constraints are met. Explain your
answer in a complete sentence.
Click here to see answer by Theo(13342) |
Question 1145516: The cost (C) for a company to produce x widgets is given by C(x) = 5250 + 7.0 x. The company has determined that the profit (P) for x widgets is given by P(x) = − 0.02 x2 + 38.0 x − 5250.
(a) What is the Cost (C) to produce 500 widgets and what is the Profit (P)? Show work.
(b) Find the vertex of the profit function P(x) using algebra. Your answer should be a point (x,P). Describe what this point represents? Show work.
I got A down its the profit Im having trouble with and B
Click here to see answer by josgarithmetic(39617) |
Question 1145754: I'm having trouble with this problem:
Given the functions f(x) = x^2+2x-1 and g(x)=5(x-2)+7
Find the values of f(2) and g(2)
What does this tell us about the system of equations at x=2?
I got that f(2)=7 and g(2)=12
I know how to graph the linear equation g(x)-5(x-2)+7
I'm having a difficult time graphing the quadratic equation and how to answer the last question. Any help would be greatly appreciated.
Click here to see answer by josgarithmetic(39617) |
Question 1145756: I would greatly appreciate help on the following question:
Given the function f(x)=2|x-4|+1 and g(x)=x^2-3x+3
Find the values for f(-2) and g (-2) and what does this tell us about the system of equations at x = -2
Find the values at f(3) and g(3) and what does this tell us about the system of equations.
Click here to see answer by Theo(13342) |
Question 1145647: Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (15,8), (-9,-2), and (-1,6) respectively. The epicenter of an earthquake is determined to be 13 units from X, 13 units from Y, and 5 units from Z. Where on the coordinate plane is the epicenter located?
Click here to see answer by ikleyn(52779) |
Question 1145824: A hammer was dropped from the pocket of a constructor from a height of 288 ft building and falls toward the earth in a straight line.In t seconds the hammer drops a distance of s=32t^2 ft.
How many seconds after drop does the hammer hit the ground?
Click here to see answer by Alan3354(69443)  |
Question 1145824: A hammer was dropped from the pocket of a constructor from a height of 288 ft building and falls toward the earth in a straight line.In t seconds the hammer drops a distance of s=32t^2 ft.
How many seconds after drop does the hammer hit the ground?
Click here to see answer by ikleyn(52779) |
Question 1145864: In Problems 19 - 26, write the function whose graph is the graph of y = x^3, but is:
19. Shifted to the right 4 units
21. Shifted up 4 units
23. Reflected about the y-axis
25. Vertically stretched by a factor of 4
Click here to see answer by Alan3354(69443) |
Question 1146586: Using the info given of m=9/2 and b=3, write an equation in standard form.
Since slope intercept formula is y=mx+b y=9/2x+3
& since b=3 we know that y intercept is (0,3)
therefore point slope form of y-y1=m(x-x1) is y-3=9/2(x-0)
so standard form would be Ax+By=C but how do I get there
Click here to see answer by josgarithmetic(39617) |
Question 1146685: The figure below shows the graph of a rational function f. It has vertical asymptotes x=-3 and x=4, and horizontal asymptote y=0. The graph does not have an x-intercept, and it passes through the point (3,1) The equation for f(x) has one of the five forms shown below. Choose the appropriate form for f(x), and then write the equation. You can assume that f(x) is in simplest form.
Click here to see answer by greenestamps(13200)  |
Question 1146849: the variable interest rate on a student loan changes each july 1 based on the bank prime loan rate.For the years 1992-2007 this rate can be approximated by the model r(x)= -0.115x^2+1.183x+5.623 where x is the number of years since 1992 and r is the interest rate as a percent
calculate the highest rate during this time period during which year was the interest rate the highest
use graph to estimate the rate in 2010 does the value seem reasonable?
Click here to see answer by greenestamps(13200) |
Question 1147004: The Boards and Blades Company manufactures skateboards and in-line skates. The company can produce a maximum of 19 skateboards and pairs of in-line skates per day. It makes a profit of $30 on a skateboard and a profit of $25 on a pair of in-line skates. The company's planners want to make at least 5 skateboards but not more than 8 skateboards per day. To keep customers happy, they must make at least 4 pairs of in-line skates per day. Answer parts (a) through (f).
a) List the constraints. Let x represent the number of skateboards and let y represent the number of in-line skates produced per day.
A.y greater than or equals 4
B.30xplus25yless than or equals 0
C.x less than or equals 8
D.x plus y less than or equals 19
E.xgreater than or equals 5
F. 30xminus25ygreater than or equals 0
Click here to see answer by ikleyn(52779) |
Question 1147004: The Boards and Blades Company manufactures skateboards and in-line skates. The company can produce a maximum of 19 skateboards and pairs of in-line skates per day. It makes a profit of $30 on a skateboard and a profit of $25 on a pair of in-line skates. The company's planners want to make at least 5 skateboards but not more than 8 skateboards per day. To keep customers happy, they must make at least 4 pairs of in-line skates per day. Answer parts (a) through (f).
a) List the constraints. Let x represent the number of skateboards and let y represent the number of in-line skates produced per day.
A.y greater than or equals 4
B.30xplus25yless than or equals 0
C.x less than or equals 8
D.x plus y less than or equals 19
E.xgreater than or equals 5
F. 30xminus25ygreater than or equals 0
Click here to see answer by richwmiller(17219)  |
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