Answer:The domain of a function is the set of input values of the function.
The domain of the function is: [0,18]
The average rate of change across the domain is -3.33
Step-by-step explanation:From the graph, we have the following highlights.
The graph starts from the origin
The graph ends at x = 18
So, the domain of the function is: [0,18]
The average rate of change is calculated as:
From the graph, we have:
So, we have:
This gives
Hence, the average rate of change across the domain is -3.33
Read more about exponential functions at:
12 weeks
b.
13 weeks
c.
14 weeks
d.
15 weeks
It take him to save at least $4,800 is 14 weeks.
Option (C) is correct.
To find the time it take him to save at least $4,800.
The branch of mathematics dealing with the properties and manipulation of numbers.
Given that :
22 hours / week
1 hour = $15.80
So, if he works 22 hours per week he take total home pay is
=22 * 15.80
= $347.60
This means that he makes $347.60 per week.
If it take him to save at least $4,800 then
=4,800 divided by 347.60 is 13.8089758343
In decimal can't have 0.8 of a week, so round up. This means it will take him about 14 weeks.
So, it take him to save at least $4,800 is14 weeks.
Learn more about arithmetic here:
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Answer-3
2*3=6
6*3=18
-Steel jelly
Answer: The scale factor of the dilation =3
Step-by-step explanation:
We know that if we transform point (x,y) by using dilation with scale factor k then the coordinate of the image will be (kx,ky).
Given: under a dilation, the point (2, 6) is moved to (6, 18)
Here (x,y)=(2,6) and (kx,ky)=(6,18)
Hence, the scale factor for the given dilation= 3.
3x + 5 = 5x – 9
Answer:
x=7
Step-by-step explanation:
26 + (–3) ∙ (–8)
a. –184
b. –2
c. 2
d. 50
B. Dilation centered at P, followed by reflection across the y-axis and then the line y = -x + 5
C. Translation (x,y) -> (x+4, y+2), followed by dilation centered at Q
D. Dilation (x+y) -> (3/5x, 3/5y), followed by dilation centered at P
E. Reflection over x-axis followed by rotation of 270 degrees
Answer:
Step-by-step explanation:
Centerat (-1, 2).
Radius of 3.
Center at (3, 4).
Radius of 5.
To carry one circle onto the other, their centers and radius must be the same.
So, circle P must be shifted from (-1, 2) to (3, 4), that means the translation is 4 units to the right side and two units upside, this is the first transformation.
The second transformation must be about stretching the circle P, from a radius of 3 to a radius of 5.
Therefore, the right answer is B.
Answer: Option b and Option c