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Katen [24]
3 years ago
6

Select the correct answer.

Mathematics
1 answer:
ss7ja [257]3 years ago
5 0

Answer:

B. (2,-5)

Step-by-step explanation:

The vertex of the function can be found in the most lower value that the function can have.

Since we have an ABS function involved we need to analyse it at first

We know that |x| = x if x> 0 and  |x| = -x if x< 0

if we now change x by x-2 (the content of our ABS function involved, we have the following

|x-2| = x-2 if x-2> 0

|x-2| = -x+2 if x-2< 0

Those inequaiities have a common solution

x-2=0, this means that x=2 is the lowest value the ABS(X-2) has and it is equals to zero.

So by evaluating x=2 in the given function we will obtain its vertex.

leading to f(2)=6 |2-2|-5= -5

Hence the point (2,-5) is the vertex of our function

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Write a recursive formula for each sequence given or described below.
valentinak56 [21]

Answer:

a_{n} =a_{n-1} +3000 and a₁ =30000 for n = 2,3,4,5,6, ......

Step-by-step explanation:

Doug has joined a job with a starting salary of $30000 per year.  

Hence, if a₁ is the salary of Doug in the first year, then  

a₁ =30000

Now, each year Doug will receive a raise of $3000 in his salary.

Hence, in the 2nd year, his salary(a₂) will become ( a₁ +3000) per year.

Again, in the 3rd year, his salary(a₃) will become ( a₂ +3000) per year.

Therefor, in the similar manner the recursive formula for his salary in each year will be given as a_{n} =a_{n-1} +3000 and a₁ =30000 for n = 2,3,4,5,6, ...... {aₙ is the yearly salary of Doug in the nth year} (Answer)

7 0
3 years ago
It would be D right ?????
vampirchik [111]
Yea it would be right.
3 0
3 years ago
What can you times by 9 to 1296 <br> What can you multiply by 9 to get 1296
Bingel [31]

Answer:

144

Step-by-step explanation:

1296 divided by 9 = 144

9 times 144 = 1296

4 0
3 years ago
Find the surface area of the figure shown. 5 cm 5 cm cm 1.5 cm 8 cm your answer​
Delicious77 [7]

Answer:

51 cm^2

Step-by-step explanation:

the formula for area of an icoselese triangle is
A = b * h / 2
h is a line from the angle where the 5 and 5 intersect to the middle of the third line
You can find h using the pythagoran theorm with the 5 being the hypotenuse and the a being half the third line

4^2 + b^2 = 5^2
16 + b^2 = 25
b = 3, so h = 3, so now
A = 8 * 3 / 2
A = 24 / 2
A = 12 cm^2

now we have the triangle, just multiply that by 2 (top and bottom)
12 * 2 = 24

sides
8 * 1.5 = 12
5 * 1.5 * 2 = 15

now add all of it
15 + 12 + 24 = 51

4 0
2 years ago
What is the mean absolute deviation of 25.5, 26, 26.5, 25, 26, 24, 23, 27, 25, 26.5
lawyer [7]

Answer:

The mean standard deviation of this data set is 1.2

Step-by-step explanation:

3 0
3 years ago
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