Answer:
95
Step-by-step explanation:
Mode is what is the most frequent number that occurred; 95 occurred the most from the data.
The formula of triangle: height x base ÷2
here's how you can find x
x(2x+7)/2=92
2x^2+7x=92×2
2x^2+7x-184=0
x=8 or x=-11.5(rejected)
thus,the height would be 8
and the base would be: 2(8)+7=23
hope it helps!
Answer: The account that compounds daily.
Step-by-step explanation: If you reinvest your money more frequently, then you will also be able to earn interest on the interest that you earned the previous day and so on.
Step-by-step explanation:
We know that...
x+y (from the first pair) corresponds to 8(in the second pair)..
0 (from the first pair) corresponds to x-y (in the second pair)..
Hence,

By simply adding the two equations we get,

Hence,
By substituting x=4, we get that y=4
Hence,
x=y=4
Start by setting the function equal to 0 and then moving the -5.4 over to the other side of the equals sign.

. The first rule for completing the square is that the leading coefficient be a +1. Ours is a -.2. So we need to factor it out.

. Now we will take half the linear term, square it, and add it to both sides. Our linear term is 14. Half of 14 is 7, and 7 squared is 49. So we add 49 in to the left side just fine, but we cannot forget about that -.2 hanging around out front as a multiplier. What we have actually "added" in is -.2*49 which is -9.8. Now here's what we have after all that:

. In that process, we have created a perfect square binomial on the left. Along with expressing that binomial we will do the math on the right:

. Now we will move the -4.4 back over by addition, and it will then be apparent as to what our vertex is. The y coordinate of the vertex will give us the max height of the water.

. As you can see, our work matches choice C from above.