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djverab [1.8K]
2 years ago
11

Identify the vertex of the graph. Tell whether it is a minimum or maximum.

Mathematics
1 answer:
kolezko [41]2 years ago
4 0

Answer: (-2, -2) minimum

Step-by-step explanation: since the graph is going upwards and the arch of the graph is the lowest point in the graph, it will be a minimum point. to find this minimum point, look at what point the lowest point of the graph (for this graph, it is (-2, -2) )

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A garden table and a bench cost $985 combined. The garden table costs $35 more than the bench. What is the cost of the bench?
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985-35=950, 950÷2=475, 475+35=510, 510 and 475
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Christine buys 7 hamburgers and 3 sodas for $27.95. Laura buys 5 hamburgers and 4 sodas for $23.40. How much does a hamburger co
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7h+3s=27.95 subtract 7h from both sides

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s=(27.95-7h)/3

Then we are told:

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Step-by-step explanation:

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Part A

The given expression is:

(-5(1+2i)+3i(3-4i)

We expand to get:

-5-10i+9i-12i^2

Note that i^2=-1

12-5-10i+9i

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Part Bi)

The given expression is;

\sqrt{-50}

We simplify to get:

\sqrt{25\times 2\times -1}

\sqrt{25\times} \sqr{2}\times \sqrt{-1}

Note that:

\sqrt{-1}=i

5\sqr{2}i

This is now of the form a+bi, where a=0,b=5\sqr{2}.

This explains why it is a complex number;

Part bii)

The given expression is :

\frac{\sqrt{-50} }{\sqrt{5}}

We simplify to get

\sqrt{\frac{-50 }{5}}

\sqrt{-25}

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\sqrt{-25}=5i

Part C

We want to simplify:

i^{22}

We rewrite in terms of i^2

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Answer:

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