Can anyone here help me out?
1 answer:
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Answer:
10 times greater is the value of 5 in 3,590 than the value of 5 in 359.
Step-by-step explanation:
To find : How many times greater is the value of 5 in 3,590 than the value of 5 in 359 ?
Solution :
The place value stem is
Thousand Hundred Tens Ones
1000 100 10 1
The value of 5 in 3,590 is at hundred place
So,
The value of 5 in 359 is at tens place
So,
Number of time greater is the value of 5 in 3,590 than the value of 5 in 359 is given by,
Therefore, 10 times greater is the value of 5 in 3,590 than the value of 5 in 359.
Answer:
x = 2
Step-by-step explanation:
First, let's write out our equation:
I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:
Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:
And then I'll add like terms:
Now, all we have to do is divide both sides by 5:
And there's our answer. Hopefully that's helpful! :)
Answer:
1)f(x)=2(3)^x
2)f(x)=10(2)^x
3)Graph attached
4) Amber will have 192 and 3145728 shares on day 3rd and 10th respectively
Ben will have 54 and 118,098 shares on day 3rd and 10th respectively
Carter will have 80 and 10240 shares on day 3rd and 10th respectively
5)the graph has moved 45 unit up
6)Amber's posts will travel fastest
7)Amber' function
Step-by-step explanation:
1)
Ben shares posts with two friends and then they share with 3 more everyday, so her the growth rate is 3
f(x)=2(3)^x
x=number of days
2)
Carter shares posts with ten friends and then they share with 2 more everyday, so her the growth rate is 2
f(x)=10(2)^x
x=number of days
3)
Graph attached contain graph's of following
Ben's f(x)=2(3)^x in red
Carter's f(x)=10(2)^x in blue
Amber's f(x)=3(4)^x in green
4)
Finding how many shares each student will get on day 3 and day 10:
For Amber:
substituting x=3,
f(x)=3(4)^3
= 192
Now substituting x=10,
f(x)= 3(4)^10
= 3145728
Amber will have 192 and 3145728 shares on day 3rd and 10th respectively
For Ben:
substituting x=3,
f(x)=2(3)^3
= 54
Now substituting x=10,
f(x)= 2(3)^10
= 118,098
Ben will have 54 and 118,098 shares on day 3rd and 10th respectively
For Carter:
substituting x=3,
f(x)=10(2)^3
= 80
Now substituting x=10,
f(x)= 10(2)^10
= 10240
Carter will have 80 and 10240 shares on day 3rd and 10th respectively
5)
If Amber's graph changes to
f'(x)=3(4)^x +45
then as per translation, it means the graph has moved 45 unit up from original position as shown in attached graph
original f(x)=3(4)^x in green
translated f'(x)=3(4)^x +45 in blue
6)
In exponential function the base of function effects the growth and in given cases of Amber, Ben and Carter; base of Amber's function is greatest i.e 4 other two have 2 and 3.
So Amber's posts will travel fastest
7) A post with fewer friends initially and then more shares like Amber. Because at the end of the day the growth rate is important and as explain above the number of shares i.e base of exponential function is important.
Hence for more shares and likes Amber' function is the best choice !
