Answer:
7(w + 5)(w -5)
Step-by-step explanation:
a² - b² = (a + b)(a - b)
7w² - 175 = 7w² - 7*25
= 7(w² - 25)
= 7(w² - 5²)
= 7(w + 5)(w -5)
So we know that point-slope form is as follows:

The points (
and
correspond to the point given and m is representing the slope. So we plug in what the question gives us:
<------ Point-slope form
Now we can take this form and simplify to give us the slop-intercept form:


<----- Slope-intercept form
Answer:
In order to minimize cost the outlet must order 60 units 15 times a year.
Explanation:
Theoretically, the EOQ is the optimal order quantity that a firm should purchase in order to minimize its inventory costs (holding costs are included here), and costs of placing an order.
Mathematically:
EOQ= 
Where:
D= demand
S= cost of placing an order.
H= holding cost (per unit and per year).
In the statement, we identify each of these values:
D= 900
S= 4
H= $2
EOQ=
=√2*4*900/2= 60
Times per year= 900/60= 15
Answer:
The probability is 1/36.
Step-by-step explanation:
2/3 are dog owners
1/6 are cat owners
1/6 are bird owners
If you choose two owners, there is a 1/6 chance that you will choose a cat owner and a 1/6 chance you will choose a bird owner. Each of these are independent, so you simply multiply 1/6 by 1/6.
1/6 * 1/6= 1/36
1. Convert all fractions to decimals.
7/8 = 0.875
5/12 = 0.417
11/2 = 5.5
3/4 = 0.75
4/5 = 0.8
3. Organize decimals from least to greatest.
0.417, 0.75, 0.8, 0.875, 5.5
4. Put back into fractions.
5/12, 3/4, 4/5, 7/8, 11/2.