Answer:
Answer is 49
Step-by-step explanation:
Add all the ratios up you get 21 so then you divide 147 by 21 thus giving you 1 ratio = 7 respectively, and we know the ratio of the red is 7 because it's stated red, blue, and green -> 7,6,8. So then 7 * 7 = 49. And to confirm you can do (7*7)+(6*7)+(8*7) which should equal 147
X = 45 is the answer
180-x = 3(90-x)
=> 180-x = 270 - 3x
=> -x+3x = 270-180
=> 2x = 90
=> x = 90/2
=> x = 45
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The correct option is Option D: f(x)=(5)ˣ.
The function is increasing where its derivative is greater than 0.
for example, f(x) is increasing then f'(x) is greater than 0.
Here f(x) = aˣ
so the dervative of the function
d(f(x))/dx=d(aˣ)/dx
⇒f'(x)= ㏑(a)aˣ
f'(x)>0
⇒㏑(a)aˣ >0
as aˣ is always greater than 0,
⇒㏑(a)>0
⇒a>1
as ㏑(a) is greater than 0 when a >1 and is lesser than when 0<a<1.
checking all the options
Option A. f(x)=(1/5)ˣ here a =1/5<1 so, f(x) is not increasing. Option A is incorrect.
Option B: f(x)=(0.5)ˣ here a =0.5<1 so, f(x) is not increasing. Option B is incorrect.
Option C: f(x)=(1/15)ˣ here a =1/15<1 so, f(x) is not increasing. Option C is incorrect.
Option D: f(x)=(5)ˣ here a =5>1 so, f(x) is increasing. Option A is correct.
Therefore the correct option is Option D: f(x)=(5)ˣ.
Learn more about increasing function
here: brainly.com/question/1503051
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9514 1404 393
Answer:
6
Step-by-step explanation:
Any of the three can be in first place.
Any of the remaining two can be in 2nd place.
The remaining swimmer will be in 3rd place.
There are 3 × 2 × 1 = 6 possible orderings of the swimmers.
Difference is 4 quotient is 2
difference means subtraction
differenc eis 4
that means that they are 4 away from each other
quotient is 2
that means that the bigger number divided by the smaller number is 2
represent them
x and y
x is 4 more than y
the numbers are now represented as
4+y and y
when you divide the bigger number by the smaller number tghen you get 2
(4+y)/y=2
multiply both sides by y
4+y=2y
subtract y
4=y
one number is y
x=y+4
x=4+4
x=8
numbers are 4 and 8
