Answer:
Step-by-step explanation:
we know that
The quadratic equation in vertex form is equal to
where
a is the leading coefficient
(h,k) is the vertex of the quadratic equation
Remember that
In a quadratic equation the turning point is the same that the vertex
so
(h,k)=(-1,-16)
substitute
we have one zero at (-3,0)
substitute and solve for a
substitute
Convert to standard form
Answer:
90 different ways
Step-by-step explanation:
30 people can finish first, 30 people can finish 2nd, 30 people can finish 3rd. Ends up being 90 different outcomes.
Answer:
a) C(d) = 37.95 + 0.62d
b) C(74) = 37.95 + 0.62(74)
83.8 dollars
c) 8181 miles
Step-by-step explanation:
The company charges a fee of 37.95 just for the rent and then 0.62 dollars per mile.
So if one person travels one mile they will pay:
37.95 + 0.62
Two miles: 37.95 + 0.62 (2)
Three miles: 37.95 + 0.62 (3)
d miles: 37.95 + 0.62(d)
Thus, the function C(d) that gives the total cost of renting the truck for one day if you drive d miles would be C(d) = 37.95 + 0.62d
Now, if we drive 74 miles, the function that gives us the cost would be:
C(74) = 37.95 + 0.62(74) = 37.95 + 45.88 = 83.83 = 83.8 dollars
Now, if we have 5110 dollars on our budget, we would have to substitute this in our function to know how many miles we can drive with that amount:
Thus, we could drive 8181 miles
Given:
Mean population = 289,294
Standard deviation = 461,176
percentage of the population of all counties is within 1 standard deviation of the mean
Let us follow the 68-95-99.7 rule
For the normal distribution<span>, the values less than one standard deviation away from the mean account for 68% of the set; while two standard deviations from the mean account for 95%; and three standard deviations account for 99.7%.
</span>
The percentage of population of all counties within one standard deviation of the mean is 68%
Basic Calculation, So
Work With Out A Calculator:
2.1 × 10 = 21
1.488 ÷ 2.1 = (1.488 × 10) ÷ (2.1 × 10)
14.88 ÷ 21 = 0.7085
0.7 Rounded