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lara31 [8.8K]
3 years ago
15

What is the axis of symmetry of the function f(x)=-(x+9)(x-21)

Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0
Carry out the mult.:  f(x) = -[x^2 - 21x + 9x - 189] 

Combine like terms:  f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [   ]:      f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c:   a= -1, b=12, c=189

The equation of the axis of symmetry is    x = -b/(2a), which here equals

x = -(12)/[2(-1)], or     x = 6

This is also the x-coordinate of the vertex.  Plug x=6 into the original equation to calculate the y-coordinate.
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ad-work [718]

Answer:

7r³ - 3r² + 20r

Step-by-step explanation:

(9r³ + 5r² + 11r) + (-2r³ + 9r - 8r²)

You can get rid of the parentheses since there is nothing to distribute.

9r³ + 5r² + 11r - 2r³ + 9r - 8r²

Combine like factors.

7r³ - 3r² + 20r

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3 years ago
If h(x) = (f o g)(x) and h(x) = ∛7x+1, find f(x) and g(x)
Mariana [72]
There's more than one way to combine them really
but an obvious one will be

\bf \begin{array}{llll}
h(x)&=&(f\circ g)(x)\\\\
&&\sqrt[3]{7x+1}\\\\
&&\sqrt[3]{g(x)}\leftarrow 
\begin{array}{llll}
f(x)=\sqrt[3]{x }\\\\
g(x)=7x+1
\end{array}
\end{array}\\\\
-----------------------------\\\\
(f\circ g)(x)\iff f[\quad g(x)\quad ]=\sqrt[3]{g(x)}\implies  f[\quad g(x)\quad ]=\sqrt[3]{7x+1}
7 0
3 years ago
How many kilometers in the world?
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explain how you can use a straightedge and a protractor to show that each angle you formed by a bisector is one-half the origina
Natasha2012 [34]
You can do that by simply measuring the main angle and then measuring each of the two angles. If you bisected the angle correctly, you will find that each of the two angles is equal to half the original.

You can measure the angle by following these steps:
1- Place the straightedge on the base of the angle.
2- Slide the protractor over it until the vertex of the angle is at the zero of the protractor.
3- Measure the angle.
3 0
3 years ago
A box of oatmeal has the shape of a cylinder. The box is 7 inches high and has a radius of 2 inches. What is the volume of the b
ICE Princess25 [194]

Answer:

87.96

Step-by-step explanation:

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V = V = \pi r^2

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5 0
3 years ago
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