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Trava [24]
2 years ago
9

Which of the following is the minimum value of the equation y = 3x^2 − 4x − 2?

Mathematics
1 answer:
KonstantinChe [14]2 years ago
5 0

Answer:

-3 1/3

Step-by-step explanation:

The quadratic

... y = ax² +bx +c

has its extreme value at

... x = -b/(2a)

Since a = 3 is positive, we know the parabola opens upward and the extreme value is a minimum. (We also know that from the problem statement asking us to find the minimum value.) The value of x at the minimum is -(-4)/(2·3) = 2/3.

To find the minimum value, we need to evaluate the function for x=2/3.

The most straightforward way to do this is to substitue 2/3 for x.

... y = 3(2/3)² -4(2/3) -2 = 3(4/9) -8/3 -2

... y = (4 -8 -6)/3 = -10/3

... y = -3 1/3

_____

<em>Confirmation</em>

You can also use a graphing calculator to show you the minimum.

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You are preparing for a trip to Canada. At the time of your trip, each U.S. Dollar is worth 1.293 Canadian dollars and each Cana
madreJ [45]

Answer:

193.95 Canadian dollars

Step-by-step explanation:

Given: Each U.S. Dollar is worth 1.293 Canadian dollars and each Canadian dollar is worth 0.773 U.S. Dollar.

To find: Value of 150 U.S. dollars in terms of Canadian dollars

Value of 1 U.S. dollar = 1.293 Canadian dollars

To find 150 U.S. dollars in terms of Canadian dollars, multiply 150 by 1.293

Value of 150 U.S. dollars in terms of Canadian dollars = 150 × 1.293 = 193.95 Canadian dollars

4 0
3 years ago
Use the method illustrated in the solutions to Exercise 9.2.39 to answer the following questions. (a) How many ways can the lett
Jobisdone [24]

Answer:

(a) 720 ways

(b) 120 ways

(c) 24 ways

Step-by-step explanation:

Given

Word = DANCER

n =6 --- number of letters

Solving (a): Number of arrangements.

We have:

n =6

So, the number of arrangements is calculated as:

Total =n!

This gives:

Total =6!

This gives:

Total =6*5*4*3*2*1

Total =720

Solving (b): DA as a unit

DA as a unit implies that, we have:

[DA] N C E R

So, we have:

n = 5

So, the number of arrangements is calculated as:

Total =n!

This gives:

Total =5!

This gives:

Total =5*4*3*2*1

Total =120

Solving (c): NCE as a unit

NCE as a unit implies that, we have:

D A [NCE] R

So, we have:

n = 4

So, the number of arrangements is calculated as:

Total =n!

This gives:

Total =4!

This gives:

Total =4*3*2*1

Total =24

8 0
2 years ago
the mean of 10 students is 16 . When a student is added, the mean becomes 18. Find the age of the student added​
MakcuM [25]

Answer:

Step-by-step explanation:

5 0
2 years ago
Three times a number plus 12 minus 5 times the same number is 22. what is the number?
saw5 [17]
3n+12-5 x n=22

4n=15


4 0
3 years ago
Read 2 more answers
A video sharing website starts with 20,000 members. Each year it loses 25% of the members, but adds 10,000 new members after the
Paraphin [41]
Hello there!

So, as we see here, we can see that they start out with 20,000 members. 25% of 20,000 would be 5,000 members.

So, every year, they lose 25% which is 5,000 members of they team. But then they gain 10,000 more.

So, practically, they get 5,000 every year even though they get 25% off.

5,000 would be the answer.
4 0
3 years ago
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