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uysha [10]
3 years ago
11

What is the relative maximum of the function?

Mathematics
2 answers:
Stels [109]3 years ago
6 0

Answer:

(1, 4)

Ste-step explanation:

The relative max of this function is read directly from the graph:  4. This value of y occurs when x = 1.

vlabodo [156]3 years ago
5 0

Answer:

(1, 4) is the relative maximum.

Step-by-step explanation:

As we know in a vertical parabola we can calculate the maximum or minimum values.

Since relative maximum of a vertical parabola is the coordinates of its vertex.

In this parabola we can measure the vertex as (1, 4) which is the relative maximum of the the given function.

Answer is (1, 4).

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*20 POINTS*
Paraphin [41]

Answer:

If you want to use the Rational Zeros Theorem, as instructed, you need to use synthetic division to find zeros until you get a quadratic remainder.

P: ±1, ±2, ±3, ±6  (all prime factors of constant term)

Q: ±1, ±7              (all prime factors of the leading coefficient)

P/Q: ±1, ±2, ±3, ±6, ±1/7, ±2/7, ±3/7, ±6/7  (all possible values of P/Q)

Now, start testing your values of P/Q in your polynomial:

f(x)=7x4-9x3-41x2+13x+6

You can tell f(1) and f(-1) are not zeros since they're not = 0Now try f(2) and f(-2):

f(2)=7(16)-9(8)-41(4)+13(2)+6

       112-72-164+26+6 ≠ 0

f(-2)=7(16)-9(-8)-41(4)+13(-2)+6

       112+72-164-26+6 = 0  OK!! There is a zero at x=-2

This means (x+2) is a factor of the polynomial.

Now, do synthetic division to find the polynomial that results from

(7x4-9x3-41x2+13x+6)÷(x+2):

-2⊥ 7   -9   -41    13     6

         -14   46   -10    -6          

      7  -23   5       3     0     The remainder is 0, as expected

The quotient is a polynomial of degree 3:

7x3-23x2+5x+3

Now, continue testing the P/Q values with this new polynomial.  Try f(3):

f(3)=7(27)-23(9)+5(3)+3

      189-207+15+3 = 0  OK!!  we found another zero at x=3

Now, another synthetic division:

3⊥ 7   -23    5     3

          21   -6   -3_

    7    -2    -1    0  

The quotient is a quadratic polynomial:

7x2-2x-1  This is not factorable, you need to apply the quadratic formula to find the 3rd and 4th zeros:

x= (1±2√2)÷7

The polynomial has 4 zeros at x=-2, 3, (1±2√2)÷7

Step-by-step explanation:

7 0
3 years ago
Which is a zero of the quadratic function f(x) = 4x2 + 24x + 11?
Kitty [74]
X=-5.5 the other zero would be x=-0.5 but that’s not an option.
8 0
2 years ago
Find two consecutive interferes whose sum is 45
OverLord2011 [107]

22 and 23




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8 0
3 years ago
Find the square number of 15 .​
Kamila [148]

Answer:

3.87298334621

Step-by-step explanation:

I used a calculator btw

6 0
2 years ago
A carton has a length of fraction 2 and 2 over 3 feet, width of fraction 1 and 1 over 8 feet, and height of fraction 1 and 1 ove
kenny6666 [7]
You know that volume is equal to length times width time height. You also know that the length of the carton is 2 2/3 feet, the width is 1 1/8 feet, and the height is 1 1/5 feet. 
And to find the volume, you have to multiply the length, width, and height of the carton all together, and you will get 1 1/5 as your answer.
So, the volume of the carton is 1 1/5 cubic feet. 

I hope this helps :)
3 0
3 years ago
Read 2 more answers
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