Answer:
The value of a is 3
Step-by-step explanation:
First you have to make an equation based on the point and slope that you were given. The formula for this is y-(y cordinate of point)=slope(x-x cordinate of slope)
y--2=-3(x-6), which simplifies to y+2=-3(x-6)
In (a,7), 7 is the y coordinate. We have to plug 7 in for the y in our equation.
7+2=-3(x-6),
Combine like terms on the left side to get to 9=-3(x-6)
Multiply out on the left to get 9=-3x+18
Subtract 18 from the left side to get -9=-3x
Divide both sides by negative 3 to get 3=x (remember x is a)
A quick way to do this is by recalling the fact that

, so the largest value that

alone (for any real value of

) can take on is 1.
This means

, and so

.
So the maximum value of this function is 7.
Answer:
87
Step-by-step explanation:
Let d = number of desktops.
Let a = number of laptops.
a + d = 165
a = d + 9
d = a - 9
a + d = 165
a + a - 9 = 165
2a - 9 = 165
2a = 174
a = 87
Answer: 87
Answer:
So, the factors of 45 are 1, 3, 5, 9, 15, and 45.
Step-by-step explanation: