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notsponge [240]
3 years ago
15

What is the zero in the quadratic function f(x)= 9x^2-54x-19?

Mathematics
1 answer:
Alex17521 [72]3 years ago
8 0

Answer:

6.33... and 0.333...

Step-by-step explanation:

The quadratic formula is


x=\frac{-b+\sqrt{b^2-4ac} }{2a}.


It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions.  Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-54)+/-\sqrt{(-54)^2-4(9)(-19)} }{2(9)}\\x=\frac{54+/-\sqrt{2916+684} }{18}

We will now solve for the plus and the minus.

The plus,,,

x=\frac{54+\sqrt{3600}}{18}\\x=\frac{54+60}{18}\\x=\frac{114}{18}\\x=6.3

and the minus...

x=\frac{54-\sqrt{3600}}{18}\\x=\frac{54-60}{18}\\x=\frac{-6}{18}\\x=-0.333...

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fomenos

Answer: for the first one it is the ll because on the first one it measures 80 degrees for both angles and so for the the second just that it's 90 degrees

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Step-by-step explanation:

7 0
3 years ago
Ss below. <br> help would be appreciated.
sergeinik [125]

Answer:

(3,0,0)

Step-by-step explanation:

3x + 5y + z = 9     --------------(I)

-4y - z = 0   -------------------(II)

     z = -4y

2x + 3y  - 4z  = 6    (III)

Substitute  z = -4y      in equation (I) and (III)

3x  +5y - 4y = 9

3x + y = 9      -----------------------(a)

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Multiply equation (a) by (-19) and then add. So, y will be eliminated and we can get the value of x

(a)*(-19)            -57x - 19y  = -171

(b)                    <u>   2x  + 19y =   6 </u>

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Plug in y = 0 in equation (II)

-4*0 - z = 0

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5 0
2 years ago
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Answer:

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This means that, length of one side = 24/4 = 6 inches.

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6 inches = 6 × 1/12 = 0.5 ft

Thus, the area of a small quilt = 0.5 × 0.5 = 0.25 ft²

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Step-by-step explanation:

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