If you know the derivative
of some function
, you can tell exactly who
is, up to an additive, constant term. In fact, knowing
, you have

In your case, we have

So, the integral is almost immediate:

So, up to some constant additive term, our function is 
To fix this constant, we know that the function passes through the point (6,10), so we have

And so our function is 
If we want to know when this function equals 6, we simply have to ask
and solve for x, so we have

Answer:
Boys - 36$ 33 cents
Girls - 72$ 67 cents
Step-by-step explanation:
Boys x
Girls 2x
Total 109
2x+x=109
3x=109/:3
X=36,3333
Boys x =36$ 33c
Girls 2x= 72,666= 72$ 67c
Answer:
16 x^20
Step-by-step explanation:
Simplify the following:
(2 x^5)^4
Multiply each exponent in 2 x^5 by 4:
2^4 x^(4×5)
4×5 = 20:
2^4 x^20
2^4 = (2^2)^2:
(2^2)^2 x^20
2^2 = 4:
4^2 x^20
4^2 = 16:
Answer: 16 x^20
Answer: 270 people
Step-by-step explanation:
The ratio of the number of people who get their news from social media to the number of people who their news from other sources is 3 to 7.
This shows that the number of people who get their news from social media is 3 out of 10 i.e (3+7).
Therefore, the number of people in a town of 900 people that get their news from social media will be:
= 3/10 × 900
= 270 people.
Answer:
(-1,3)
Step-by-step explanation:
Start with combining the two equations.
2x + 3x = 5x
y-y=0
1-6=5
so the equation is now:
5x=-5
now divide the left side to the right, only the number though not the variable. so no it is. x=-1.
Well. the normal coordinate is (x,y).
Right now we have (-1,y)
We now just need to find the Y. To do that:
1) plug the value of x back into any equation. the bottom or top. (DO NOT COMBINE THE EQUATIONS NOW)
so you have 2x + y =1
(insert value) 2(-1) + y = 1
the equation is now -2 + y = 1
add 2 to both sides to have y by itself
y = 3.
so your final answer is (-1,3)