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jekas [21]
3 years ago
8

Wanda started walking along a path 2 minutes (120 seconds) before Dave. Wanda walked at a constant rate of 5 feet per second. Da

ve walked along the same path at a constant rate of 10 feet per second. Graph the system of linear equations. What are the equations?
Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0
<span>Wanda started walking along a path 27 seconds before Dave. Wanda walked at a constant rate of 3 feet per second. Dave walked along the same path at a constant rate of 4.5 feet per second. How long after Dave starts walking will he catch up with Wanda ?
***
let x=travel time of Dave
x+27=travel time of Wanda
speed*travel time=distance (same for both Wanda and dave)

..
4.5x=3(x+27)
4.5x=3x+81
1.5x=81
x=54
How long after Dave starts walking will he catch up with Wanda ? 54 sec</span>
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The range of which function is (2, infinity)? y = 2x y = 2(5x) y = 5x 2 y = 5x 2
vova2212 [387]

The function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

<h3>What is range of function?</h3>

Range of a function is the set of all the possible output values which are valid for that function.

The function whose range is (2, ∞) has to be find out.

The first function given in the problem is,

y=2^x

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The second function given in the problem is,

y=2(5)^x

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The fourth function given in the problem is,

y=(5)^x+2

This function is translated 5 units up to the function 5ˣ which has the range (0,∞).

Thus, the range of this function is (2, ∞).

Hence, the function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

Learn more about range of the function here;

brainly.com/question/2264373

5 0
2 years ago
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
Degger [83]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

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b: It is the cut-off point with the y axis

We have the following points through which the line passes:

(x_ {1}, y_ {1}): (- 6,7)\\(x_ {2}, y_ {2}): (- 3,6)

We find the slope of the line:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {6-7} {- 3 - (- 6)} = \frac {-1} {-3 + 6} = \frac {-1} {3} = -\frac {1} {3}

Thus, the equation of the line is of the form:

y = - \frac {1} {3} x + b

We substitute one of the points and find b:

6 = - \frac {1} {3} (- 3) + b\\6 = 1 + b\\b = 5

Finally, the equation is:

y = - \frac {1} {3} x + 5

Answer:

y = - \frac {1} {3} x + 5

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(See attached graphic)
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