Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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Question 1151481: Jon's and Brianna were racing remote control car. The equation d=3t+15 models the distance, d( in feet), Jon's car was away from a wall, after t seconds. The second. The table below shows the distance that Brianna's car was away from the same wall at different times.
Seconds(t) Feet from wall (d)
5. 20
10. 30
15. 40
How much closer to the wall did Brianna's car start compared to Jon's car?
A. 1ft
B. 2ft
C. 5ft
D. 10 ft
Click here to see answer by MathLover1(20850)

Question 1151480: Smart student learning center charges students a registration fee of $25 plus an hourly rate of $30 for after school tutoring. Brilliant learning center charges students for after school tutoring based on the table below :
Brilliant student learning center
Hours of tutoring (x) Total cost (y)
1 $45
3 $115
5 $185
7 $255
If a student needs 4 hours of tutoring, which statement is true?
A. Smart student learning center charges$5 more than Brillant student learning center.
B.
Brilliant student learning center charges $5 more than Smart student learning center.
C.Smart student learning center charges #35 more than Brilliant student learning center.
D. Brillant student learning center charges $35 more than Smart student learning center.
Click here to see answer by greenestamps(13200)

Question 1151499: Please help me solve this equation :Let A = F((1,2,3,4)) and R be a relation on A such that f(x, y)/y -x^2 + 2x <=0. Describe R
by complete listing method and its domain and range.
Click here to see answer by ikleyn(52794)

Question 1151549: The Flip machine takes positive numbers as inputs and multiplies them by -2 to get the outputs. What is the domain and range of the machine?
Click here to see answer by MathLover1(20850)

Question 1151550: Assume that all variables represent real numbers. Determine whether the equation determines y to be a function of x.
y2 − 8x = 1
y is a function of x.
y is not a function of x.
Click here to see answer by MathLover1(20850)

Question 1151561: I am having trouble with this problem : “Write an equation of the line containing the given point and parallel to the given line. Express your answer in Y=Mx+b “. The given Line is 5x-7y=9. The given point is (-4,-3)
Click here to see answer by josgarithmetic(39618)

Question 1151573: The time required for a skilled worker to produce x shirts is given by the function T(x) = 4x + 2, where T is measured in hours. The salary the she is paid is given by the function S(T) = 15T, where S is measured in dollars.
A. If the worker produces 18 units, what will she be paid?
B. How many units would the worker need to produce to be paid $3,030?
Click here to see answer by jim_thompson5910(35256)

Question 1151604: The domain of the function f(x)=282x−19 is all real numbers except for
Click here to see answer by ikleyn(52794)

Question 1151605: The domain of the function f(x)=28/12x−19 is all real numbers except for
Click here to see answer by ikleyn(52794)

Question 1151607: Express the set W={y |y≤5 or y>10} using interval notation.
Click here to see answer by ikleyn(52794)

Question 1151606: The domain of the function f(x)=36/7(x−9)is all real numbers except for
Click here to see answer by Alan3354(69443)

Question 1151709: Find the average rate of change of g(x)=1x^2 -2 between the points (-4,14) and (2,2)
Click here to see answer by Theo(13342)

Question 1151725: My seventh grade class just started on a unit within functions. Examples of what we are working on show up here:
https://classroom.google.com/c/NDEyMDQ4MTkxNTda/p/NTAzNDMwMjg1MjZa/details
Thing is, I don't know how to solve a problem that I've tried to solve by looking up YouTube tutorials. Please explain how to solve an equation for the following below:
x|y
2|-6
3|1
4|8
5|15
6|22
8|36
I came up with y = 7x + (-13) after countless YouTube tutorials but they all don't make sense to me. Please explain to me how to do this.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1151768: when I try to calculate f(x)=(x/(x+1))-1 and f(-7) for this function I kept getting -13/6 but the answer is 1/6 Why is that? Thanks.
Click here to see answer by josgarithmetic(39618)

Question 1151888: The function S(D) = 2D can be used to approximate the speed S, in miles per hour, of a car that has left skid marks of length D, in feet. How far will a car skid at 50 mph? Round to two decimal places. Remember to round only on the last step. Clearly state your final answer in a complete sentence with proper grammar and correct spelling
Click here to see answer by josgarithmetic(39618)

Question 1151889: The function S(D) =(7/2) √2D can be used to approximate the speed S, in miles per hour, of a car that has left skid marks of length D, in feet. How far will a car skid at 50 mph? Round to two decimal places. Remember to round only on the last step. Clearly state your final answer in a complete sentence with proper grammar and correct spelling
Click here to see answer by josgarithmetic(39618)

Question 1151905: For the real-valued functions = g(x)=x^2-3 and h(x) = sqrt(x-6), find the
composition g∘h and specify its domain using interval notation.
How to solve?

Click here to see answer by Edwin McCravy(20056)

Question 1151934: How do I solve f(-3)={(1,5),(4,7),(-3,10),(4,6)}
Click here to see answer by Alan3354(69443)

Question 1151784: Susan has a $100 gift card to her favorite restaurant. Each day, she uses her gift card to buy the same lunch for $8.50. Bret has a $75 gift card to the same restaurant. His lunches cost $6 each. Write an inequality to find what number of lunches Susan’s gift card balance will be greater than Bret’s gift card balance.

Click here to see answer by Theo(13342)

Question 1152064: The function S(D) =(7/2) √2D can be used to approximate the speed S, in miles per hour, of a car that has left skid marks of length D, in feet. How far will a car skid mark that is 102.04 feet long? Round to the nearest integer Clearly state your final answer in a complete sentence with proper grammar and correct spelling
Click here to see answer by Boreal(15235)

Question 1152172: Find the domain and range of the function:
For the domain, I set the denominator equal to 0 and added 16 to both sides. Then, I took the square root of both sides. This left me with t=4, therefore the domain would be all real numbers except 4. However, this was incorrect... how did I miss the -4 in the domain restriction?
Also, how could I find the range?
Thanks so much!
Click here to see answer by MathLover1(20850)

Question 1152233: Noah’s cousin is exactly 7 years younger than Noah. Let C represent Noah’s cousin’s age and
N represent Noah’s age. Age measures in years.
a. Write a function that defines the cousin’s age as a function of Noah’s age. What are the input and output of the function?
b. Write the inverse of the function. What are the input and output of the inverse function?
Click here to see answer by josgarithmetic(39618)

Question 1152387: Hi! I had this interval: . When I took the reciprocal of each number, I ended up with: . However, this leaves me with the larger number on the left side and the smaller number on the right side. This wouldn't make sense. What did I do wrong? Can I rearrange the numbers?

Click here to see answer by ikleyn(52794)

Question 1152452: Use
f(x) = 4x − 5
and
g(x) = 3 − x2
to evaluate the expression.
(a)
(f ∘ g)(−2)
(b)
(g ∘ f)(−2)

Click here to see answer by MathLover1(20850)

Question 1152456: 3x2 +y=18 determine whether the relation represents y as a function of x

Click here to see answer by ikleyn(52794)

Question 1152456: 3x2 +y=18 determine whether the relation represents y as a function of x

Click here to see answer by MathLover1(20850)

Question 1152470: Given the function g(×)=9-x2, evaluate g(x+h)-g(×)/h
Click here to see answer by Celi(1)

Question 1152492: Rational functions find the domain of the rational function f(x)=x^2+x-12/x^2-9
Click here to see answer by MathLover1(20850)

Question 1152834: Determine if the given piecewise function is differentiable at the origin, using the limit as h approaches 0 from both sides.
when x is greater than or equal to 0, and
when x is less than 0.
Click here to see answer by ikleyn(52794)

Question 1152865: Estimate the average rate of change from x=2 x=5
Click here to see answer by josgarithmetic(39618)

Question 1153054: find the distance from P1=(-2,-3) to P2=(3,-5)
what's midpoint of the line from P1 to P2?
what's the slope of the line containing the points P1 and P2?
Click here to see answer by josgarithmetic(39618)

Question 1153070: Inverse fonction of
p(x) = - (square root of (-x+2)) -3
Click here to see answer by MathLover1(20850)

Question 1153070: Inverse fonction of
p(x) = - (square root of (-x+2)) -3
Click here to see answer by greenestamps(13200)

Question 1153277: Please help me
If
f(x) = 6x2 − x3,
find f '(1) and use it to find an equation of the tangent line to the curve
y = 6x2 − x3
at the point (1, 5).
Click here to see answer by greenestamps(13200)

Question 1153309: iven
f(x) = 2x2 + 1
and
g(x) = 5x − 9,
find the following.
(a)
f(g(2))
(d)
(g ∘ g)(x)
Click here to see answer by rothauserc(4718)

Question 1153514: if 20.80 is earned on a deposit of 4000 for 16 days, how much interest would be earned on a deposit of 6500 for 24 days
Click here to see answer by ikleyn(52794)

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