The boats can make 6 trips and another one for the remaining 4 people.
Answer:
a)
g(3.5), g(26.92)
or
g(3.5)=3.5^2, g(26.92)=26.92^2
Answer:
1. x=3 x=1
2. x=0
Step-by-step explanation:
We want f(x) to equal g(x)
f(x)=g(x)
1/(x-2) = (x-2)
Using cross products
1 = (x-2) * (x-2)
1 = x^2 -2x-2x+4
Subtract 1 from each side
1-1 = ^2 -2x-2x+4-1
0 = x^2 -4x+3
Factoring
What number multiplies to 3 and adds to -4
-3*-1 = 3
-3+-1 = -4
0= (x-3) (x-1)
Using the zero product property
x-3 =0 x-1=0
x=3 x=1
2. f(x)=x^2+4x+2
g(x)=(1/2)^ x+1
From the graph,we can see they intersect at x=0
Answer:
4x² + 41x - 33
Step-by-step explanation:
- F in foil stands for 'first'; take the first value in each bracket and multiply them together. So 4x × x = 4x²
- O in foil stands for 'outside'; take the outermost values from each bracket and multiply them together. So 4x × 11 = 44x
- I in foil stands for 'inside'; take the innermost values for each bracket and multiply them together. So -3 × x = -3x
- Finally, L in foil stands for 'last'; take the last value in each bracket and multiply them together. So -3 × 11 = -33
- Now, we can put this all together and simplify: 4x² + 44x - 3x - 33 → 4x² + 41x - 33.
Hope this helps!
Answer:
200 ml
Step-by-step explanation:
It's proportions basically.
frst off, 2% of 100 ml is 2 ml, so the 100 ml solution has 2 ml of Minoxidil.
Eventually we want 6/100 to be the porportion. so the total is going to be 100 (from the initial 100 ml) plus however much is needed x. And we want the amount of Minoxidil to be 2 + 8 percent of x. so this gets us the equation
6/100 = (2 + .08x)/(100+x) Then we solve
(100 + x) 6/100 = 2 + .08x
(100 + x) 6 = 200 + 8x
600 + 6x = 200 + 8x
400 = 2x
x = 200
so they should add 200 ml
You can check too. there is 100 + 200 ml of solution total and 2 + 16 ml of Minoxidil so that's 18/300 = 6/100
