Answer:
y = -3x - 27
Step-by-step explanation:
0 = -3[-9] + b
-27 = b
y = -3x - 27
* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE</em><em> </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>]:
⅓ → -3
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5 gallons x gallons
------------- = ----------------
12 hours 240 hours
using cross products
5 * 240 = 12 * x
1200 = 12 x
divide each side by 12
1200/12 = 12x/12
100 =x
You will need 100 gallons
Answer:
11.55 m^2
Step-by-step explanation:
The area is 11.55 bc the area of a triangle is A =1/2*b*h
4.2*1/2*5.5= 11.55
Answer:
Ball hits the ground after 4.5 sec
Step-by-step explanation:
Let a -1, so that the leading coefficient is positive
So our quadratic is
The key coefficients of two binomial variables can be 1 and 16, or 2 and 8, or 4 and 4, for the leading coefficient of 16.
Yet they can't actually be 4 and 4 because the linear (x) term coefficient has to be a multiple of 4, which it isn't and leading coefficients 1 and 16 on the binomial factors is not likely.
So, 2 and 8 taken as the leading coefficients of two binomial factors.
For constant 405, possible factorizations are
Taking first factor, thus we find negative value for given time t. But second time equivalent to zero gives the value of 4.5 for t
Thus ball hits the ground after 4.5 sec
.
Answer:
See explanation
Step-by-step explanation:
Let x be the number of simple arrangements and y be the number of grand arrangements.
1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so
2. A florist can make a grand arrangement in 18 minutes hour, then he can make y arrangements in hours.
A florist can make a simple arrangement in 10 minutes hour, so he can make x arrangements in hours.
The florist can work only 40 hours per week, then
3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.
The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.
Total profit: $(10x+25y)
Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines and
But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is