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Elan Coil [88]
3 years ago
11

Which of the following describes the situation below? The number of miles a car can run depends on the gallons of gasoline in th

e tank.

Mathematics
1 answer:
S_A_V [24]3 years ago
8 0

Answer: A. A relation that is a function.

Step-by-step explanation:

A relation is said to be a function if each input value is associated with one unique output value.

Here, Number of miles run by car is directly proportional to the quantity of gasoline.

Independent variable - quantity of gasoline.

Dependent variable - Number of miles

On assuming the condition of car as good, the number of miles a car can run highly depends on the gallons of gasoline in the tank .

As quantity of gasoline increases number of miles driven would also increases.

i.e. Number of miles driven is a function with respect to quantity of gasoline.

Hence, the given line best describe as : A relation that is afunction.

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The equation below represents the function p.
svet-max [94.6K]
Answers:

1)Tthe first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) the y-intercept of the function p is greater than the y-intercept of the function q.


Explanation:


1) Value of the functions as x increases.


Function p:

p(x)=  ( \frac{2}{5} )^{x} -3

As x increases, the value of the function is the limit when x → ∞.

Since [2/5] is less than 1, the limit of [2/5]ˣ when x → ∞ is 0, and the limit of p(x) is 0 - 3 =  -3.

While in the graph you see that the function q has a horizontal asymptote that shows that the limit of q (x) when x → ∞ is - 4.

Then, the first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) y - intercepts.

i) To determine the y-intercept of the function p(x), just replace x = 0 in the equation:
p(x) = [ 2 / 5]⁰ - 3 = 1 - 3 = - 2

ii) The y-intercept of q(x) is read in the graph. It is - 3.

Then the answer is that the y-intercept of the function p is greater than the y-intercept of the function q.

4 0
3 years ago
How do you solve #3? The one that is incorrect.
Sunny_sXe [5.5K]
Infinite they’re all multiples, so they are the same line
7 0
2 years ago
Fill in the table using this function rule.<br> y=14-2x
Mamont248 [21]

Answer:

when x is:

1; y = 12

2; y = 10

5; y = 4

6; y = 2

Step-by-step explanation:

Substitute each value of x to obtain respective y values

3 0
2 years ago
How would you graph 2x &gt; 6 on a number line?
elena55 [62]

Hope its understandable

6 0
3 years ago
Convert 6.28282828 in to a fraction
Irina-Kira [14]

Answer:

I got 6 and 28/99

Step-by-step explanation:

I put it in a calculator about 10 times and this was the answer every time,  sorry if it wasn't helpful

5 0
3 years ago
Read 2 more answers
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