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Marta_Voda [28]
2 years ago
6

** If you your answer contains an irrational number (a never ending decimal number) leave the number under the square root symbo

l.

Mathematics
1 answer:
sdas [7]2 years ago
4 0
The answer is the square root of 23 i.

(The “i” is outside of the square root symbol, and the 23 is positive).

Hope this helps! (:
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In three plays, a football team loses five yards and then gains 32 yards by completing a pass. Then a penalty was called and the
masha68 [24]
The team only gained 7 yards
7 0
3 years ago
The function f(x) = x3 – 8x2 + x + 42 has zeros located at 7, –2, 3. Verify the zeros of f(x) and explain how you verified them.
xeze [42]

Answer:

  • zeros are {-2, 3, 7} as verified by graphing
  • end behavior: f(x) tends toward infinity with the same sign as x

Step-by-step explanation:

A graphing calculator makes finding or verifying the zeros of a polynomial function as simple as typing the function into the input box.

<h3>Zeros</h3>

The attachment shows the function zeros to be x ∈ {-2, 3, 7}, as required.

<h3>End behavior</h3>

The leading coefficient of this odd-degree polynomial is positive, so the value of f(x) tends toward infinity of the same sign as x when the magnitude of x tends toward infinity.

  • x → -∞; f(x) → -∞
  • x → ∞; f(x) → ∞

__

<em>Additional comment</em>

The function is entered in the graphing calculator input box in "Horner form," which is also a convenient form for hand-evaluation of the function.

We know the x^2 coefficient is the opposite of the sum of the zeros:

  -(7 +(-2) +3) = -8 . . . . x^2 coefficient

And we know the constant is the opposite of the product of the zeros:

  -(7)(-2)(3) = 42 . . . . . constant

These checks lend further confidence that the zeros are those given.

(The constant is the opposite of the product of zeros only for odd-degree polynomials. For even-degree polynomials. the constant is the product of zeros.)

3 0
2 years ago
What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)? (8,0) (0,3) (0,–24) (–5,0)
DiKsa [7]
The correct answer is:  [C]:  " (0, 24) " .
___________________________________________________________

Explanation:
___________________________________________________________

Given the quadratic function:
___________________________________________________________

          →  "  y = (x <span>− 8) (x + 3) "  ;   </span>←  Note:  Replace the "f(x)" with: "y" ; 

→  Find the "y-intercept".
___________________________________________________________

→  Note:  The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" . 

   → So;  we set plug in "0" for "x" into our equation; and solve for "y" ; 

          → " y = (x − 8) (x + 3) " ;

          →   y = (0 − 8) (0 + 3)  ; 

          →   y = (-8) * (3)  ;  
 
          →   y = - 24 ; 
___________________________________________________________

So, the "y -intercept" of the <em><u>given</u></em> quadratic function is:
 
the point at which:  "x = 0 ; y = -24 " ;

      →  that is; the point  the coordinates:  " (0, - 24) " ;
___________________________________________________________
  →  which is:  Answer choice:  [C]:  " (0, - 24) " .
___________________________________________________________
9 0
2 years ago
Read 2 more answers
Which numbers are factors of 4? Select all that apply.<br><br> 1<br> 4<br> 2<br> 3
brilliants [131]

Answer:

1,2,4

Step-by-step explanation:

Factors are the numbers that we can multiply together to make 4

1*4 = 4

2*2 = 4

The factors are 1,2 and 4

4 0
3 years ago
Read 2 more answers
Mai invested $7000 in a money-market fund that paid 6.2% simple interest . What was the value of her account at the end of 18 mo
boyakko [2]
Depends it could be 14812 if they want total value or just the interest would be 7812
5 0
3 years ago
Read 2 more answers
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