Answer:
x=7
Step-by-step explanation:
ln(x)+ln(x-3)=ln(4x)
x≥0,x≥3
combining x≥3
ln[x(x-3)]=ln(4x)
x(x-3)=4x
x²-3x-4x=0
x²-7x=0
x(x-7)=0
x=0(rejected),7
Answer:
There were 7 small boxes and 14 large boxes shipped.
Step-by-step explanation:
This problem may be solved by a system of equations:
I am going to say that:
x is the number of small boxes used
y is the number of large boxes used
There were twice as many large boxes shipped as small boxes shipped
This means that y = 2x
Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. The total weight of all boxes was 1435 pounds.
This means that 45x + 80y =1435
So we have to solve the following system:
y=2x
45x + 80y =1435
45x + 80 (2x) = 1435
205x = 1435
x= 1435/205
x=7
y=2x= 2(7) = 14
There were 7 small boxes and 14 large boxes shipped.
Step-by-step explanation:
There are various ways in which you could do this problem. I'm going to share what I think is one of the faster ways.
Instead of thinking of jumping from (-1,4) TO (2,-2), Consider the horiz. jump separately and the vertical jump separately. From -1 to 2 is 3 units. Three times that is 9 units. Add 9 to -1, obtaining 8. That's the horiz. component of the terminal point.
From 4 to -2 is -6 units. Mult. that by 3. The result is the vert. comp of the terminal point.
Positive integer factors of 100:
1, 2, 4, 5, 10, 20, 25, 50, 100
Now find if they are a multiple of 2 or 3.
2, 4, 10, 20, 50, 100
That is 6 factors.
