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erica [24]
3 years ago
5

Driving on the highway, you can safely drive 60 miles per hour. "How far can you drive in ‘h' hours?" What is the range of the f

unction which defines this situation? A. 60 B.The number of hours you drive C.The amount of gas you use D.The distance you drive
Mathematics
1 answer:
JulijaS [17]3 years ago
7 0

Answer:

D.The distance you drive

Step-by-step explanation:

If you describe this situation as function, then it will look as:

  • f(h)= 60h
  • For h=1 you have f(1)= 60 miles
  • For h=2 you have f(2)= 120 miles etc.

The range of the function is the set of output values

In this case the range is the distance you drive

Correct option is D.

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You are hiking and are trying to determine how far away the nearest cabin is, which happens to be due north from your current po
Margaret [11]

Answer:

336.7 yards away from the cabin....

Step-by-step explanation:

The angle 30.7° is also the angle of the upper interior angle of the triangle (near the cabin)

Use the tan function:

opposite = 200 yards

adjacent = x

tan(30.7°) = (opposite / adjacent)

tan(30.7°) = 200 yards/x

x * tan(30.7°) = 200 yards

x = 200 yards/ tan(30.7°)

x= 200/ 0.594

x = 336.7 yards.

336.7 yards away from the cabin....

8 0
3 years ago
Bob sets the price of the plants according to their height in inches. A plant that is 9.5 inches high costs $2.28 in his store.
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7 0
3 years ago
The line segment shown is rotated 90° about the origin (counterclockwise). What are the new coordinates of point A? A) (2, 1) B)
rjkz [21]

Under a counterclockwise rotation about the origin of 90°

a point (x , y ) → (- y, x ), hence

A(2, 1 ) → A'(- 1, 2 )


3 0
3 years ago
Read 2 more answers
Which of these statements is true for f(x)=(1/10)^x
lana66690 [7]

Step-by-step explanation:

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

Analyzing option A)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

Putting x = 1 in the function

f\left(1\right)=\:\left(\frac{1}{10}\right)^1

f\left(1\right)=\:\left\frac{1}{10}\right

So, it is TRUE that when  x = 1 then the out put will be f\left(1\right)=\:\left\frac{1}{10}\right

Therefore, the statement that '' The graph contains \left(1,\:\frac{1}{10}\right)  '' is TRUE.

Analyzing option B)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

The range of the function is the set of values of the dependent variable for which a function is defined.

\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k

k=0

f\left(x\right)>0

Thus,

\mathrm{Range\:of\:}\left(\frac{1}{10}\right)^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}

Therefore, the statement that ''The range of f(x) is y > \frac{1}{10} " is FALSE

Analyzing option C)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

The domain of the function is the set of input values which the function is real and defined.

As the function has no undefined points nor domain constraints.

So, the domain is -\infty \:

Thus,

\mathrm{Domain\:of\:}\:\left(\frac{1}{10}\right)^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

Therefore, the statement that ''The domain of f(x) is x>0 '' is FALSE.

Analyzing option D)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

As the base of the exponential function is less then 1.

i.e. 0 < b < 1

Thus, the function is decreasing

Also check the graph of the function below, which shows that the function is decreasing.

Therefore, the statement '' It is always increasing '' is FALSE.

Keywords: function, exponential function, increasing function, decreasing function, domain, range

Learn more about exponential function from brainly.com/question/13657083

#learnwithBrainly

3 0
3 years ago
Read 2 more answers
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