Hello!
The graph, (2/5)^x is an exponential function.
Since there is not a negative symbol in the front of the function, options A and B are incorrect.
For option 3 to be correct, there would need to be a negative symbol in front of the exponent, x.
So therefore, the answer option 4. (Also, I'll post a graph. :))
Answer:
me please
Step-by-step explanation:
Answer:
a line from -23 to the positive numbers
Step-by-step explanation:
Answer:
The other midpoint is located at coordinates (-9,-2) (Second option)
Step-by-step explanation:
<u>Midpoints</u>
If P(a,b) and Q(c,d) are points in
, the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by
![\displaystyle x_m=\frac{a+c}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x_m%3D%5Cfrac%7Ba%2Bc%7D%7B2%7D)
![\displaystyle y_m=\frac{b+d}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y_m%3D%5Cfrac%7Bb%2Bd%7D%7B2%7D)
We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.
The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:
x (other endpoint)= - 4 - 5 = - 9
So the other midpoint is located at (-9,-2) (Second option)
Answer:
16 hours and 20 minutes.
Step-by-step explanation:
Please consider the complete question.
Rita's family is moving to Grand Junction to Dallas, which is 980 miles. The moving van averages 60 miles each hour. About how many hours does the van take to reach Dallas?
To find the time taken by van to reach Dallas, we will divide total distance by speed.
![\text{Time}=\frac{\text{Distance}}{\text{Speed}}](https://tex.z-dn.net/?f=%5Ctext%7BTime%7D%3D%5Cfrac%7B%5Ctext%7BDistance%7D%7D%7B%5Ctext%7BSpeed%7D%7D)
![\text{Time taken to reach Dallas}=\frac{980\text{ Miles}}{60\frac{\text{ Miles}}{\text{Hour}}}](https://tex.z-dn.net/?f=%5Ctext%7BTime%20taken%20to%20reach%20Dallas%7D%3D%5Cfrac%7B980%5Ctext%7B%20Miles%7D%7D%7B60%5Cfrac%7B%5Ctext%7B%20Miles%7D%7D%7B%5Ctext%7BHour%7D%7D%7D)
![\text{Time taken to reach Dallas}=\frac{980\text{ Miles}}{60}\times \frac{\text{ Hour}}{\text{Miles}}](https://tex.z-dn.net/?f=%5Ctext%7BTime%20taken%20to%20reach%20Dallas%7D%3D%5Cfrac%7B980%5Ctext%7B%20Miles%7D%7D%7B60%7D%5Ctimes%20%5Cfrac%7B%5Ctext%7B%20Hour%7D%7D%7B%5Ctext%7BMiles%7D%7D)
![\text{Time taken to reach Dallas}=\frac{98}{6}\text{ Hour}](https://tex.z-dn.net/?f=%5Ctext%7BTime%20taken%20to%20reach%20Dallas%7D%3D%5Cfrac%7B98%7D%7B6%7D%5Ctext%7B%20Hour%7D)
![\text{Time taken to reach Dallas}=16.3333\text{ Hour}](https://tex.z-dn.net/?f=%5Ctext%7BTime%20taken%20to%20reach%20Dallas%7D%3D16.3333%5Ctext%7B%20Hour%7D)
Let us convert 0.3333 hours into minutes by multiplying 0.3333 by 60.
![0.3333\times 60=19.998\approx 20](https://tex.z-dn.net/?f=0.3333%5Ctimes%2060%3D19.998%5Capprox%2020)
Therefore, it will take 16 hours and 20 minutes for the van to reach Dallas.