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3 years ago

I’m sort of confused on how to state and find the domain and range of this graph

Mathematics

1 answer:

Yuliya22 [10]3 years ago

5 0

You have a special type of function, so you have to express the domain and range of each interval. Every aspect of this graph is closed, so you will only use brackets when writing your answers. Hence, you get [30,5] for the first interval, since there is a horizontal distance of 30 and a vertical distance of 5. You repeat the same process for each interval.

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You are playing a board game and you have to pay $50 then you win $200 after that you have to pay $800 write an expression that

Alex73 [517]

Answer:

- $50 + $200 - $800

Step-by-step explanation:

You have to pay $50

This is a negative to your account: -$50

You win $200

This is a positive to your account: + $200

After you have to pay $800

This is a negative to your account: - $800

Total transaction

- $50 + $200 - $800

The expression that represent the situation is:

- $50 + $200 - $800

= - $650

3 0

3 years ago

Prove that sequence an = (3^n)/(2n)! is monotone

krek1111 [17]

When $n=1$ , you have $a_1=\dfrac3{2!}=\dfrac32$ .

When $n=2$ , you have $a_2=\dfrac{3^2}{4!}=\dfrac38$ .

Clearly, $a_1>a_2$ .

Assume $a_k$ . Now when $n=k+1$ , you have

$a_{k+1}=\dfrac{3^{k+1}}{(2k+2)!}=\dfrac3{(2k+2)(2k+1)}\times\dfrac{3^k}{(2k)!}=\dfrac3{(2k+2)(2k+1)}a_k$

Therefore by induction the sequence is monotone (decreasing).

5 0

3 years ago

What are the missing terms???

Ivenika [448]

Answer:

$x^{4} +18x^{2} +81=(x^{2} )^{2}+2(9)^{2} +(3)^{4} \\x^{4} +18x^{2} +81=(x^{2} +9)^{2}$

Step-by-step explanation:

This is just a perfect square

6 0

3 years ago

Griffin's Goat Farm, Inc., has sales of $671,000, costs of $333,000, depreciation expense of $77,000, interest expense of $48,50

Alchen [17]

Net income for the firm = $161,500

Step-by-step explanation:

Step 1 :

Total sales of the goat farm = $671,000

Cost incurred = $333,000

Depreciation expense = $77,000

Interest expense = $48,500

We need to compute the net income of the firm

Step 2 :

The profit before tax can be computed by subtracting all the expenses from the sale.

Total expenses of the firm = 333,000 + 77,000+ 48,500 = $458,500

Profit before tax = 671,000 - 458,500 = $212,500

Step 3 :

Percentage of tax for the firm = 24%

Amount of tax for the firm = 24% of 212500 = 51000

Net income = Total profit after tax = 212500 - 51000 = 161,500

Step 4 :

Answer :

Net income for the firm = $161,500

3 0

4 years ago

21.

jasenka [17]

Answer:

b = y intercept

Step-by-step explanation:

y = mx +b

This is the slope intercept form of a line

The m is the slope and the b is the y intercept

8 0

3 years ago