Answer:
The given equation has two solutions i.e 
, 
Step-by-step explanation:
The given expression as :
3 x² + 2 x - 4
For the quadratic equation in the form of a x² + b x + c , the value of x
x = 
Or, x = 
Or, x = 
or, x = 
∴ x = 
Or, x = ,
Hence The given equation has two solutions i.e , Answer
Answer:
Their savings will be same after 25 weeks.
Step-by-step explanation:
The difference in both person's saving is $ 2/week
$5-$3=$2
The total difference in the starting point is $50 if we divide $50 by $2 we will get a number of 25 which is the number of weeks it will take both savings to reach at a same level
Calculation:
Starting point $150
Savings $5/week
5*25+150= $275
Starting point: $200
Savings 3$/week
3*25+200= $275
Answer: 23% of people who prefer plan I are from the 36–45 age group, and 42% of people from the 46–55 age group prefer plan II
Step-by-step explanation: Option A.
Answer:
production cost f(x), in dollars, for x number of units produced by company 1:
f(x) = 0.05x^2 − 7x + 300
2) Table that represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
0.6 899.58
0.8 899.52
1 899.50
1.2 899.52
1.4 899.58
3) Comparison: do a table for f(x) with the same x-values of the table for g(x).
x f(x) = 0.05x^2 − 7x + 300 g(x)
0.6 295.818 899.58
0.8 294.432 899.52
1 293.05 899.50
1.2 291.672 899.52
1.4 290.298 899.58
As you can see the values of f(x) are consistently lower than the values of g(x) for the same x-values.
The minimum production cost for company 2 is around 899.50 at x = 1, while the minimum production cost of company 1 is defintely lower (lower than 292.298 for sure, in fact if you find the vertex it is 55).
Answer: Based on the given information, the minimum production cost for company 2 is greater.
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
Experimental means what actually happened
P(odd) = (number of 1 + number of 3 + number of 5) / total
= (10+8+8) / 50
= 26/50
= 13/25 = 52%
Theoretical means what we expect to happen
P (odd) = (number of 1 + number of 3 + number of 5) / total
=(1+1+1)/6
=1/2 = 50%
We rolled an odd just a little more than the expected amount of times
