Answer:
Step-by-step explanation:
It is a rectangle, so both sides are equal. Thus 2x+6=5x-9
SOLVE, SUBTRACT 2x
6=3x-9 THEN ADD 9
15=3x THEN divide by 3
5=x
Plug in x to either side 2(5)+6, to get side length of 16
Then area of a rectangle is lengthxwidth=AREA
substitute what you know 16(y)=48
Divide by 16, thus y=3
When we make a solution, the solute doesn't go away. All the solute we use stays in the solution it only dissolve in the solution.
The total mass of solution is always equal to the mass of solvent added to the mass of solute.
Therefore 5gram + 20 gram = 25 gram of solution.
5/25×100= 20%
He would spend 246.5 each day because you would divide 1,725.50 by 7 and get 246.5
Answer: After 210 seconds they with next flash at the same time.
Step-by-step explanation:
Given: Ardem has two lights.
One flashes every 15 seconds the other flashes every 42 seconds.
If they started flashing at the same time, then the number of seconds after that they with next flash at the same time = LCM (15, 42) [LCM - Least common multiple]
Prime factorization of 15 = 3 x 5
Prime factorization of 42 = 2 x 3 x 7
Then, LCM (15, 42) = 2 x 3 x 5 x 7 = 210
i.e. After 210 seconds they with next flash at the same time.
Answer:
As 
, 
.
Step-by-step explanation:
See the attached image for the graph of <em>f</em> .
As 
, the important part of the definition of <em>f</em> is the first part, valid for [0, 2). On the interval [1, 2), [x] = 1, so 
, and the slope is 1.
Interestingly, on the interval [2, 3), 
, making 
. As 
, the value of <em>f </em>' approaches 4. That accounts for the sudden change in direction at the point (2, 2) where the two pieces of the graph connect.
So although the pieces meet at (2, 2) -- <em>f</em> is continuous -- <em>f</em> does not have a (two-sided) derivative at that point because the left-hand derivative and right-hand derivative have different values. There's a "bend" in the graph.
