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Mars2501 [29]
3 years ago
9

In one U.S.​ city, the taxi cost is $2 plus $0.50 per mile. If you are traveling from the​ airport, there is an additional charg

e of $6.00 for tolls. How far can you travel from the airport by taxi for ​$38.00​?
Mathematics
1 answer:
mario62 [17]3 years ago
8 0

Answer:

60 miles

Step-by-step explanation:

the equation for the cost for traveling from the airport can be represented by y= .50x + 2 + 6

where y is the final cost and x is the amount of miles. plug in 38 to y to get 38 = .50× +2 + 6. Solve for x.

38-6 =.50× +2

32 =.50x +2

32-2=.50x

30=.50x

30/.50=x

60=x

therefore, the 60 miles is how far you can go with $38

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Evaluate................
wolverine [178]

Answer:

h(8q²-2q) = 56q² -10q

k(2q²+3q) = 16q² +31q

Step-by-step explanation:

1. Replace x in the function definition with the function's argument, then simplify.

h(x) = 7x +4q

h(8q² -2q) = 7(8q² -2q) +4q = 56q² -14q +4q = 56q² -10q

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2. Same as the first problem.

k(x) = 8x +7q

k(2q² +3q) = 8(2q² +3q) +7q = 16q² +24q +7q = 16q² +31q

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Comment on the problem

In each case, the function definition says the function is not a function of q; it is only a function of x. It is h(x), not h(x, q). Thus the "q" in the function definition should be considered to be a literal not to be affected by any value x may have. It could be considered another way to write z, for example. In that case, the function would evaluate to ...

h(8q² -2q) = 56q² -14q +4z

and replacing q with some value (say, 2) would give 196+4z, a value that still has z as a separate entity.

In short, I believe the offered answers are misleading with respect to how you would treat function definitions in the real world.

7 0
3 years ago
Write and solve a proportion to answer the question.
Reptile [31]

Answer:

48

Step-by-step explanation:

p/100×25=12

p/4=12

(p/4)×4=12×4

p=48

I hope this makes sense

8 0
3 years ago
A local theater charges $26 for each adult ticket and $17 for each student ticket. For one show, the theater took in $988 from a
mamaluj [8]
So what you would do is divide 988 by 26 and divide 731 by 17 and those two numbers you would add which gives you the amount of people that attended the performance
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vfiekz [6]

Answer:

The graph is uploaded in the attachment.

The value of x is 2.625.

Step-by-step explanation:

  • let us plot f(x), g(x) on y-axis

so, f(x)=y and g(x)=y.

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( where m is the slope and c is the y-intercept )

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(y-intercept is the the coordinate of a point where the line intersects y-axis)

(slope is the angle made by the line with the x-axis)

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Because there is no number that when multiplied by itself that could equal to 10 (ex: 16 is a perfect square because 4 and 4 multiplied together equals 16; 4 and 4 are the same number)
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