Answer: has a maximum
the maximum is 11
Step-by-step explanation:
f(x)= -5x^2-10x+6
the function f(x)= ax^2+bx+c=0 has a<0 so the equation has a maximum
I know V has the coordonate x=-b/2a, and y=-(b^2-4ac)/4a
b^2-4*a*c= (-10)^2-4*(-5)*6=100+120=220
so -b/2a=-(-10)/-2*5=+10/-10=-1 and
-(b^2-4ac)/4a=-220/4*(-5)=-220/-20=22/2=11
so V( -1, 11)
and the maximum is 11
Answer:
0.33
Step-by-step explanation:
We would like to find the probability that both beads are aqua.
There are 6 aqua beads. Let's calculate the number of ways we can select 2 aqua beads from these 6. We use combinations, which is , where the n! means n * (n - 1) * (n - 2) * ... * 2 * 1.
The value of the expression is:
So there are 15 ways to choose 2 aqua beads.
Now let's calculate the number of ways we can select any 2 beads. There are 6 + 4 = 10 beads in total, so we do the same thing as before using combinations:
Our fraction is thus:
15 / 45 = 1/3 ≈ 0.33
The answer is thus 0.33.
<em>~ an aesthetics lover</em>
Full box=180 calories
C(x)=number of calories
x=number of mints
therefor
full box=180=(10/3)x
180=(10/3)x
solve for x aka number of mints per box
multiply both sides by 3/10 ( since 10/3 times 3/10=30/30=1 so 1x)
540/10=x
54=x
54 mints per box
Answer:
This is not a good model because the residual plot becomes thicker at the end
35 is the 20% so you multiply 35x5=175. 175 is the whole thing so you minus 175-35=140 which is the remaining money so half of that is 70