Step-by-step explanation:
If the zeros are 5 and 9, then the equation will have the form:
y = a (x–5) (x–9)
We know the point (0, 90) is on the curve, so we can use this to find the coefficient a:
90 = a (0–5) (0–9)
90 = 45a
a = 2
y = 2 (x – 5) (x – 9)
(1) 6 pairs of socks = 1 coat
(2) 2 pairs of jeans = 3 pairs of shoes
(3) 4 pairs of socks = 1 pair of jeans
the last two points are irrelevant becuase we just need socks and coats.
6 pairs of socks are equal to 1 coat.
we need 64 pairs of socks.
so, 64 ÷ 6 = 10.67
so we'll need 10.67 coats for 64 pairs of socks.
i'm not sure if you've typed up the correct numbers becuase i don't think the answer would be expressed as a decimal.
unless we say that we need 11 pairs of coats?
perhaps reread the question again and make sure you've typed it up correctly
xD i hope i've helped.
The first answer is 3/34 sec and the second answer is 15/34 sec.
Set up a proportion for these problems. For the first question,
340/1 = 30/x
Cross multiply:
340*x = 1*30
340x = 30
Divide both sides by 340:
340x/340=30/340
x = 30/340 = 3/34
For the second question,
340/1 = 150/x
Cross multiply:
340*x = 150*1
340x=150
Divide both sides by 340:
340x/340 = 150/340
x = 150/340 = 15/34
Answer:
Step-by-step explanation:
1. regroup terms
2. Rewrite 
as 
and 343 as 
3. Since both terms are perfect cubes, factor using the sum of cubes formula, 
, where 
and 
4. Factor 
out of 
5. Regroup
6. Factor again
Answer:
The amount of money originally invested which is the principal P = 5,000
Step-by-step explanation:
Using the compound interest formula, the return on investment can be represented on the interest function as;
f(x) = P(1+r)^x
Where
P is the principal which is the initial investment.
r = rate Proportion
x = time (number of years)
Comparing to the given function;
f(x) = 5,000(1 + 0.04)^x
We can see that;
Principal P = 5,000
Rate r = 0.04
time = x
The amount of money originally invested which is the principal P = 5,000
