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barxatty [35]
1 year ago
14

The a value of a function in the form f(x) = ax2 + bx + c is negative. Which statement must be true?

Mathematics
2 answers:
Savatey [412]1 year ago
11 0
The correct answer for the question that is being presented above is this one: "The axis of symmetry is to the left of zero." The a value of a function in the form f(x) = ax2 + bx + c is negative. The statement must be true is this The axis of symmetry is to the left of zero.<span>
</span>
Finger [1]1 year ago
8 0
For this case we have a standard quadratic equation of the form:
 f (x) = ax ^ 2 + bx + c&#10;
 As the function is negative then the following is true:
 a \ \textless \ 1&#10;
 Therefore, when the leading coefficient is less than one then:
 1) The parable opens down.
 2) The cutting points with the x axis can be positive or negative
 3) The cutoff point with the y axis can be positive or negative
 4) The axis of symmetry can be to the right or to the left of zero.
 5) The vertex of the parabola is a maximum and this is because the second derivative is negative.

 Answer:
 
The vertex is a maximum.
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The CEO of a local tech company wants to estimate the proportion of employees that are pleased with the cleanliness of the break
Zigmanuir [339]

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Methods of obtaining a sample of 600 employees from the 4,700 workforce:

Part A:  The type of sampling method proposed by the CEO is Convenience Sampling.

Part B: When there are equal number of participants in both campuses, stratification by campus would give a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender.  Another method to ensure that stratification by campus gives a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender is to ensure that the sample is proportional to the proportion of each campus to the whole population or workforce.

Step-by-step explanation:

A Convenience Sampling technique is a non-probability (non-random) sampling method and the participants are selected based on availability (early attendees).  The early attendees might be different from the late attendees in characteristics such as age, sex, etc.  Therefore, sampling biases are present.  All non-probability sampling methods are prone to volunteer bias.

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3 0
2 years ago
Ill give a tip
e-lub [12.9K]
Divide the APR by 360 days and multiply it by 30 days to get the monthly interest. Each loan is usually secured by the car you bought. So we will use the secured APR.

8. Average rating secured apr: 5.85% divide by 360 multiply by 30:  0.4875% monthly rate
Cost of car: 19,725 ; sales tax: 4.75% ; down payment: 2,175

19,725 x 1.0475 =  20,661.94 - 2,175 = 18,486.94 loan amount
18,486.94 x 0.4875% = 90.12 accrued interest for the 1st month.

9. Excellent rating secured apr: 4.80% divide by 360 multiply by 30: 0.40% monthly rate
Cost of car: 15,867 ; sales tax: 5.25% ; down payment: 10% of total cost

15,867 x 1.0525 =  16,700.02 x 90% = 15,030.02 the principal balance at the start of the loan.

10. Fair rating secured apr: 7% divide by 360 multiply by 30: 0.5833% monthly rate
Cost of new car: 19,072 ; sales tax: 4.5% ; down payment: 1,200
Cost of used car: 15,365; sales tax: 4.5% ; down payment: 1,200

19,072 x 1.045 = 19,930.24 - 1,200 = 18,730.24
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15,365 x 1.045 = 16,056.43 - 1,200 = 14,856.43
14,856.43 x 0.5833% = 86.66 accrued interest

109.25 - 86.66 = 22.59 is the difference in interest accrued by the end of the first month.
7 0
2 years ago
Tasha has eight more fish than Oscar, who has twice as many fish as Cecilia. If altogether they have 148 fish, how many fish do
Viefleur [7K]

Answer:

They each have 64

Step-by-step explanation:

let C = number of fish that Cecilia has --- then, O = 2C, where O = number of fish that Oscar has --- and T = O + 8 = 2C + 8, where T = number of fish that Tasha has --- then, C + O + T = C + 2C + (2C + 8) = 148 --- or, 5C + 8 = 148 --- or, 5C = 140 --- or, C = 140/5 = 28 --- and, O = 2C = 2(28) = 56 --- and, T = O + 8 = 56 + 8 = 64

7 0
2 years ago
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