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Marizza181 [45]
3 years ago
9

|x−(−12)|, if x>−12

Mathematics
1 answer:
Fiesta28 [93]3 years ago
4 0

Answer:

Step-by-step explanation:

if x>−12

add 12 : x+12 >0

but x−(−12) = x+12

so :|x−(−12)| = |x+12| = x+12  .... ( x+12 >0)

note : |a| = a  if a>0

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What are the zeros of the function?
cluponka [151]

The function is:

f ( x ) = x² - x - 72

This is a quatdratic function. So we can find the zeroes of the function with the formula:

x 1/2 = ( - b +/- √(b² - 4 ac) ) / ( 2a )

And we have: a = 1, b = - 1 and c = - 72

x 1/2 = ( 1 +/- √((-1)² - 4 · 1· ( - 72 )) ) / 2

x 1/2 = ( 1 +/- √( 1 + 288 ) ) / 2

x 1/2 = ( 1 +/- √289 ) / 2

x 1/2 = ( 1 +/- 17 ) / 2

x 1 = ( 1 - 17 ) 2 = - 16 / 2 = - 8

x 2 = ( 1 + 17 ) / 2 = 18 / 2 = 9

Answer: The zeroes are - 8 and 9.

7 0
3 years ago
Is y=4 a function, a relation, or is it both?
Maurinko [17]

Answer:

Function

Step-by-step explanation:

The reason it is a function is because its saying y=x. Then you just plug in the number(s) to get the function y=4.PLEASE MARK BRAINLIEST thank you!!!!!!!!!

3 0
3 years ago
Pls help me with this!
joja [24]

Answer:

A = 78.5 cm²

Step-by-step explanation:

Area = π · radius²

if diameter is 10 then radius is 5

A = 5²·π

A = 25 × 3.14

A = 78.5 cm²

6 0
2 years ago
What is the vertex of the graph of f(x) = x2 + 10x - 9? A) (-5, -34) B) (-5, -9) C) (5, -9) D) (5, 66)
sukhopar [10]

Answer:

A) (-5, -34)

Step-by-step explanation:

f(x) = x^2 + 10x - 9

We complete the square to get the equation in vertex form

Take the coefficient of the x term and divide by 2 then square it.  We add it and then subtract it not to change the value of the equation

f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9

f(x) = x^2 +10x +25 -25 -9

f(x) = (x^2 +10x +25) -34

The term in parentheses simplified to (x+10/2) ^2

     = (x+5)^2 -34

   = (x - -5)^2 -34

This is in the form (x-h)^2 +k

The vertex is (h,k)  h=-5 and k=-34

(-5,-34)

4 0
3 years ago
Read 2 more answers
Keisha sold hats and shirts at a festival. She made $36 from selling hats. She also sold x shirts and made $9 for each shirt. Sh
Solnce55 [7]

Answer:

36+9x=99

x=7

Step-by-step explanation:

36+9x=99

Subtract 99 and 36:

63

9x=63

Divide:

x=7

8 0
3 years ago
Read 2 more answers
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