Red shirts and blue shirts equally count to his bonus, so he has 15 + 23 = 38 shirts sold at this moment. He needs to sell 75 shirts for the bonus. We subtract our goal from what he have; 75 - 38 = 37.
The strategy here: subtract the goal (75 shirts) from what you did to get to the goal (15 shirts and 23 shirts).
Nathan needs to sell 37 more shirts for the bonus. Hope this helps.
Answer:
The formula for period is T = 1 / f , where "T" is period – the time it takes for one cycle to complete, and "f" is frequency.
To get period from frequency, first convert frequency from Hertz to 1/s.
Now divide 1 by the frequency. The result will be time (period) expressed in seconds.
Convert "3/4 ton" into pounds. Use the identity 2000 lb = 1 ton.
2000 lb 1500 lb
Then [(3/4) ton] * ---------------- = ----------------
1 ton 1
Now divide 1500 lb by 4 lb 14 oz. Note that 4 lb 14 oz = 4 14/16 lb, or
4 7/8 lb, or 4.875 lb.
Then, divide 1500 lb by
4.875 lb
------------ to determine the number of bricks the truck can safely carry.
1 brick
This comes out to 1500/4.875 bricks, or approx. 307 bricks.
Let’s go with 7.0 that is what I think it is
Given the expression:
-x^2+18x-99
to solve by completing squares we proceed as follows:
-x^2+18x-99=0
this can be written as:
-x^2+18x=99
x^2-18x=-99.......i
but
c=(-b/2)²
Hence:
c=(-(-18)/2)²=81
adding 81 in both sides of i we get:
x^2-18x+81=-99+81
factorizing the quadratic we obtain:
(x-9)(x-9)=-18
thus
(x-9)²+18=0
the above takes the vertex form of :
y=(x-k)²+h
where (k,x) is the vertex:
the vertex of our expression is:
(9,18)
hence the maximum point is at (9,18)
NOTE: The vertex gives the maximum point because, from the expression we see that the coefficient of the term that has the highest degree is a negative, and since our polynomial is a quadratic expression then our graph will face down, and this will make the vertex the maximum point.
