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levacccp [35]
3 years ago
12

If f(x) and g(x) are quadratic functions but (f+g)(x) produces true graph below, hutch statement must be true ?

Mathematics
1 answer:
alexgriva [62]3 years ago
3 0

Answer:

A. the leading coefficients of f (x) and g (x) are opposites

Step-by-step explanation:

A. the leading coefficients of f (x) and g (x) are opposites

A quadratic function in its generic form is:

 f (x) = ax2 + bx + c

 g (x) = dx2 + ex + f

 The sum of the functions is:

 (f + g) (x) = (a + d) x2 + (b + e) x + (c + f)

 For the function to be linear necessarily:

 a = -d

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Answer:

x = 37

Step-by-step explanation:

4x + 3 + x - 8 = 180

4x + x - 8 + 3 = 180

5x - 5 = 180

5x = 185

x = 37

Hope this helps!

7 0
3 years ago
Can someone please help me?the question is in the picture. Thank you
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Answer:

B

Step-by-step explanation:

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Sarah has $18.00 and she earns $7.25 an hour at work. what’s the equations
BigorU [14]

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3 years ago
What is the solution to the equation below? riund your answer to two decimal places. (24) log(3x) = 60
Amanda [17]

The answer is:  " x = 105.41 " . 

_____________________________________________

Explanation:

_____________________________________________

Given:   " 24 log (3x) = 60 " ;  Solve for "x" .

The default is to assume "base 10" for the "logarithm". 

_____________________________________________

Start by dividing each side of the equation by "24" ; 

       →   [ 24 log(3x) ] / 24  = 60 / 24 ; 

to get:  

_____________________________________________

 log (3x)  = 2.5 ;

_____________________________________________

Rewrite as:  log₁₀ (3x) = 2.5 ;  

_____________________________________________

Using the property of logarithms:

⇔    10⁽²·⁵⁾  =   3x  ;  

↔   3x = 10⁽²·⁵⁾   ;

         →  10^ (2.5) = 316.2277660168379332 ;

     →  3x = 316.227766016837933 ;  

Divide each side of the equation by "3" ;

  to isolate "x" on one side of the equation;

      and to solve for "x" ;

    →  3x / 3 =  316.2277660168379332 / 3  ;

to get:

    →   x = 105.4092553389459777333 ;

    →  round to 2 (two) decimal places;

_____________________________________________

         →   " x = 105.41 " .

_____________________________________________

 Hope this helps!

    Best wishes to you!

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8 0
2 years ago
Two equivalent fractions for 37 over 50
stiks02 [169]

Answer:

37/50=74/100

Step-by-step explanation:

8 0
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