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Alex Ar [27]
2 years ago
11

Which is a zero of the quadratic function f(x)=9x^2-54x-19?

Mathematics
1 answer:
Arturiano [62]2 years ago
8 0
A zero, or a solution of the quadratic function is c) x = 6 1/3


Write -54x as a difference
9x^2 + 3x - 57x - 19

Factor 3x out
{ 9x^2 + 3x }  - 57x - 19
3x (3x + 1)

Factor -19 out
3x (3x + 1) -19 (3x + 1)

Group the equations
( 3x - 19 ) ( 3x + 1 )

Solve for the zeroes

(3x+1) = 0
     -1     -1
3x = -1
3x / 3 = x
-1 / 3 = -1/3
x = - 1/3

(3x - 19) = 0
      +19   +19
3x = 19
3x / 3 = x
19 / 3 = 6 1/3
x = 6   1/3

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82 and f are supplementary, so we can find f

Finding f

f + 82 = 180

f = 180 - 82

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5 0
3 years ago
What is the value of the power a if 5a=1/125
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A = 1/625 or 0.0016

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7 0
3 years ago
Solving equations -3x+7=28?
AURORKA [14]

Answer:

x = - 7

Step-by-step explanation:

- 3x + 7 = 28

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3 0
3 years ago
Read 2 more answers
Two integers a and b have a product of -33. What is the least possible sum of a and b
irga5000 [103]

 

The number -33 divisors are:

D(-33) = {-33, -11, -3, -1, 1, 3, 11, 33}

a × b = -33

<u>1)  -33 × 1 = -33   ⇒   Sum is:   -33 + 1 = -32</u>

2)  -11 × 3 = -33   ⇒   Sum is:   -11 + 3 = -8

3)  -3 × 11 = -33   ⇒   Sum is:   -3 + 11 = 8

4)  -1 × 33 = -33   ⇒   Sum is:   -1 + 33 = 32

<u>5)  1 × (-33) = -33   ⇒   Sum is:   1 + (-33) = 1 - 33 = -32</u>

6)  3 × (-11) = -33   ⇒   Sum is:   3 + (-11) = 3 - 11 = -8

7)  11 × (-3) = -33   ⇒   Sum is:   11 + (-3) = 11 - 3 = 8

8)  33 × (-1) = -33   ⇒   Sum is:   33 + (-1) = 33 - 1 = 32

<h2>The least possible sum of a and b is  -32</h2>

to 1)  and to 5)



7 0
3 years ago
-5^2 + (-15) ÷ (-3) + 20 Solve using PEMDAS showing work
oee [108]
In PEMDAS, there is no parentheses in this equation, so we move on to exponents.

-5^2 is 25
Now, we divide -15/-3 then we get 5
Next, we do -3+20=17
25+5+17 would be 47

Your answer should be 47!
Hope this helps (:
5 0
3 years ago
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