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Cloud [144]
3 years ago
11

The vertex of the graph of y = -4(x + 3)2 + 2 is ( , )

Mathematics
1 answer:
andrezito [222]3 years ago
6 0

Answer:

Step-by-step explanation:

This quadratic is of the form

y=-a(x-h)^2+k where h and k are the coordinates of the vertex. Notice that inside the parenthesis it very specifically follows the format (<u>x -</u> h)². That means that if you have something like what we have here, ( x + 3)^2, it was originally (x - (-3))^2, and the value for h is -3. k is much simpler to determine. Our 2 at the end is a +2, so the k is 2. The vertex then is (-3, 2).

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Company A: 23,000+(1,200x9)=33,800
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So, Company A pays $600 more than company B in year 10
7 0
3 years ago
Whats the answer to part b and above?
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The starting salary of a starting teacher is $40,000, which will increase by 2% each year.
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Step-by-step explanation:

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A computer company has a special going in which all customers receive a free monitor and scanner with the purchase of a new comp
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notsponge [240]
<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>

If a = 6 - \sqrt{35}, find the value of a² + \frac{1}{a²}

<h2><u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>

a = 6 - \sqrt{35} (Given)

Now, first of all we have to find the value of \frac{1}{a}.

So, \frac{1}{a} = \frac{1}{6 \: - \: \sqrt{35}}

\frac{1}{a} = \frac{6 \: + \sqrt{35}}{(6 \: - \: \sqrt{35})(6 \: + \: \sqrt{35})}

\frac{1}{a} = \frac{6 \: + \sqrt{35}}{(6)² \: - \: (\sqrt{35})²}

\frac{1}{a} = \frac{6 \: + \sqrt{35}}{36 \: - \: 35} (\because \sqrt{35} \: × \: \sqrt{35} \: = \: 35)

\frac{1}{a} = \frac{6 \: + \: \sqrt{35}}{1}

\frac{1}{a} = 6 + \sqrt{35}

Now, we have to find the value of a² + \frac{1}{a²}

So, a² + \frac{1}{a²} = (a \: + \frac{1}{a})² - 2.a.\frac{1}{a}

a² + \frac{1}{a²} = (6 \: - \sqrt{35} \: + \: 6 \: + \sqrt{35})² - 2

a² + \frac{1}{a²} = (12)² - 2

a² + \frac{1}{a²} = 144 - 2

a² + \frac{1}{a²} = 142

The value of a² + \frac{1}{a²} is <u>1</u><u>4</u><u>2</u>. [Answer]

7 0
3 years ago
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