Answer:
The given equation is
⇒y≥
As domain of the function is 3 x-2≠0
x≠2/3
⇒For different values of x we get different values of y.
When, x>2/3 , we get positive values of y.
So , y≥ 0
and when x< 2/3 , we get values of y which are negative.
i.e y≤0
At x=2/3, function is not defined.So at that point there does not exist any value of y.
Answer:
4w+10=-w
w=-2
Step-by-step explanation:
First, write out the equation in the algebraic form to make it easier to solve. This equation written out is 4w+10=-w. Then, isolate the variable and solve. Do this by subtracting 4w from both sides. Then, divide both sides by -5.
Answer:
385 counters
Step-by-step explanation:
Since 1/6 of the counters are red and 1/4 of the counters are blue, there are:
1 - (1 / 6) - (1 / 4) = 7 / 12
Multiply it to find green:
660 x (7 / 12) = 385 counters
46 × 12 = 46 × (10 + <em>2</em>) =
= (<em>46</em> × 10 ) + (<em>46</em> × 2)
= <em>460</em> + 92
= <em>552</em>
<u>Answer:</u>
The bikes sold at break even by the manufacturer is 50 units
<u>Explanation:</u>
We know that break even point is given by the following formula,

We are given startup fee = $3500 which is the fixed cost,
the bikes sell for $250 which is the price per unit and
cost per bike is equal to $180
So substituting these values in the formula we get
= 
=
= 50
= 50 units which is the number of bikes sold at break even by the manufacturer.