Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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Question 1182672: Help on this please
A freight train is carrying goods across the country. The distance it has traveled varies directly with the number of gallons of fuel it has used. See the graph below.

https://imgur.com/a/igCQtj2
How many miles does the train travel per gallon?
What is the slope of the graph?
Click here to see answer by MathTherapy(10552)

Question 1182673: Maria is walking. The number of calories she has burned varies directly with the number of minutes she has walked. See the graph below.
Graph: https://imgur.com/a/l1lUL8o
I tried solving, and I believe the answer is 2 for both of these?
How many calories is Maria burning per minute?
What is the slope of the graph?
Please correct me if I am wrong.
Click here to see answer by MathLover1(20849)

Question 1182674: Kaitlin is riding her bike. The number of revolutions (turns) her wheels make varies directly with the distance she travels. See the graph below.
https://imgur.com/a/Dkr0IfG
How far does Kaitlin travel per revolution?

What is the slope of the graph?

Are my answers correct? This is the last question I need to check
Click here to see answer by ikleyn(52781)

Question 1182675: I need help with this if possible please
Look at the graphs and their equations below. Then fill in the information about the coefficients A, B, C, and D.
https://imgur.com/a/FLR1sdP
Click here to see answer by ikleyn(52781)

Question 1182777: Am I correct? If not, what did I do wrong?
https://imgur.com/a/13hbjDT
Click here to see answer by josgarithmetic(39617)

Question 1182777: Am I correct? If not, what did I do wrong?
https://imgur.com/a/13hbjDT
Click here to see answer by ikleyn(52781)

Question 1182778: please verify my answer.. I know it seems silly to be asking but if I get it wrong the math website I am working with will delete my entire workpage for another wrong answer.
https://imgur.com/a/QGL5G9u
Click here to see answer by josgarithmetic(39617)

Question 1182779: Help with this function please
https://imgur.com/a/O3MWKWR
Click here to see answer by Boreal(15235)

Question 1182812: Graph the line and label the X and Y intercepts: 3x-2y=6

I rearranged it into y=-3/-2+3 so the y-intercept would be 0,3 but how do I find the x-intercept. thank you
Click here to see answer by Edwin McCravy(20055)

Question 1182853: please help me solve this problem
DefineY1 = max[5, X − 20]. Graph y as a function of x

Click here to see answer by ikleyn(52781)

Question 1182944: (a) The functions 𝑓 and 𝑔 are defined as follows.
𝑓(𝑥) = 3𝑥^2, where 𝑥 ∈ (−1, 1) and 𝑔(𝑥) = 𝑥 + 2, where 𝑥 ∈ (−1, 1).
i) Find 𝑅(𝑓) and 𝑅(𝑔).
ii) Draw the graphs of 𝑓 and 𝑔.
iii) Find 𝑓 ∘ 𝑔 and 𝑔 ∘ 𝑓.
iv) Show that 𝑓(𝑥) is not one to one function.

(b) The function ℎ is defined as ℎ(𝑥) = 3𝑥^2, where 𝑥 ∈ (−∞, 0].
i) Show that ℎ is a one to one function.
ii) Find the inverse function ℎ−1 of ℎ.
iii) Show that,
(α) ℎ−1∘ ℎ(𝑥) = 𝑥, where 𝑥 ∈ (−∞, 0].
(β) ℎ ∘ ℎ−1(𝑥) = 𝑥, where 𝑥 ∈ [0, ∞).
(γ) Are the functions ℎ−1∘ ℎ and ℎ ∘ ℎ−1the same? Explain your answer.
Click here to see answer by ikleyn(52781)

Question 1182983: Please help graphing the function
https://imgur.com/a/G3FhIwN
Click here to see answer by ikleyn(52781)

Question 1182982: Please help me on this function problem here
https://imgur.com/a/TEJLSTq
Click here to see answer by josgarithmetic(39617)

Question 1183007: Graph the line and label the X and y intercepts 3x-2y=6
please and thank you
Click here to see answer by josgarithmetic(39617)

Question 1183052: Find the vertex and Y and X intercepts of the function F(x)=-x^2+4x-3.
is the F(x) considered they y? please and thank you
Click here to see answer by MathLover1(20849)

Question 1183052: Find the vertex and Y and X intercepts of the function F(x)=-x^2+4x-3.
is the F(x) considered they y? please and thank you
Click here to see answer by MathTherapy(10552)

Question 1183052: Find the vertex and Y and X intercepts of the function F(x)=-x^2+4x-3.
is the F(x) considered they y? please and thank you
Click here to see answer by josgarithmetic(39617)

Question 1182974: An open lid tank to be made by concrete has width 50𝑐𝑚, inside capacity of 4000𝑚3 and square base. Find the inner dimension of the tank with the minimum volume of concrete.
Click here to see answer by greenestamps(13200)

Question 1183085: Sketch sinx and its inverse on the same set of axes for 0≤ x ≤ (pi/2)
I sketched sinx but I don't know how to sketch it's inverse on the same axis, as for its inverse I know that when x = 1, y = (pi/2) but I already put the radians unit on the x axis.
Click here to see answer by Theo(13342)

Question 1183127: How do I do this?
https://imgur.com/a/AR2cyAy
Click here to see answer by josgarithmetic(39617)

Question 1183311: The equation E = 0.0053x 3 - 0.0047x 2 + 0.19x + 1.4 gives the approximate total earnings of a company, in millions of dollars, where x = 0 corresponds to 1996. Determine the earnings for 1998.
A.
$1.8 million
B.
$1.59 million
C.
$1.84 million
D.
$2.07 million

Click here to see answer by josgarithmetic(39617)

Question 1183329: Use the given conditions to find an equation in slope-intercept form of each of the nonvertical lines. Write vertical lines in the form x = h.
A horizontal line through (1.05, -8.86)
Click here to see answer by ikleyn(52781)

Question 1183527: Describe the translation from y=x to y=3x+2
Click here to see answer by ikleyn(52781)

Question 1183527: Describe the translation from y=x to y=3x+2
Click here to see answer by MathLover1(20849)

Question 1183562: Y varies directly with X and has a constant rate of change of 6. What is the equation that represents the direct variation between Y and X? Use the equation to find one possible value for X, when Y has a value of 11.

Click here to see answer by ikleyn(52781)

Question 1183885: Graph 6x-3y (greater than or equal to symbol) -1. Can you please explain to me how you got that answer.
Click here to see answer by josgarithmetic(39617)

Question 1183956: If 4M+N=20 and N+P=20, what is the value of M?
A.0
B.4
C.16
D.24
E.It cannot be determined from the information given.
The correct answer was E but I don't know how so can you explain? Thank you.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1183961: Graph the x-cubed function. Update the function to have a Vertical Stretch of 3, a Horizontal Stretch of 1, a Vertical Shift of 0, a Horizontal Shift of 5, and a Reflection over the x-axis.
Click here to see answer by greenestamps(13200)

Question 1184462: 12x-3y=3

Click here to see answer by josgarithmetic(39617)

Question 1184462: 12x-3y=3

Click here to see answer by ikleyn(52781)

Question 1184457:
Click here to see answer by josgarithmetic(39617)

Question 1185005: Suppose that the supply and demand equations for a certain product are P= 1/14 q-9 and p=-1/70 q+3 respectively, where p represents the price per unit in dollars and q represents the number of units per time period.
(a) Find the equilibrium price algebraically.
(b) Find the equilibrium point graphically

Click here to see answer by ikleyn(52781)

Question 1185069: The sum of two numbers is 89. Their difference is 23. What are the two numbers?

Click here to see answer by Edwin McCravy(20055)

Question 1185069: The sum of two numbers is 89. Their difference is 23. What are the two numbers?

Click here to see answer by greenestamps(13200)

Question 1185132: Write an equation for a function that has a graph with the shape of y equals x-squared, but upside-down and shifted left 3 units and down 5 units
Click here to see answer by greenestamps(13200)

Question 1185366: y=7x-2
Click here to see answer by ikleyn(52781)

Question 1185423: How do I find the coordinates of the midpoints that joins (3,5) and (2,7)
Click here to see answer by josgarithmetic(39617)

Question 1185424: A man drove 12 miles East from his home made a left turn at an intersection and the traveled 8 miles north to his place of work. If a road was made directly to his place of work what distance would it be?
If the road was made as described above how much shorter would the mans one way trip be everyday?
Click here to see answer by greenestamps(13200)

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