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3 years ago

Graph the function. Then State the domain and range. Also increasing and decreasing

Mathematics

2 answers:

daser333 [38]3 years ago

8 0

Answer:

First function: domain: [-9,\infty)[−9,∞) , range: (-\infty, -2](−∞,−2] , decreasing

Second function: domain: (-\infty, \infty)(−∞,∞) , range: (-\infty, \infty)(−∞,∞) , increasing

Third function: domain: [3, \infty)[3,∞) , range: [-5,\infty)[−5,∞) , increasing

masha68 [24]3 years ago

4 0

Answer:

See below, I will let graphing part to yourself.

Step-by-step explanation:

First function: domain: $[-9,\infty)$ , range: $(-\infty, -2]$ , decreasing

Second function: domain: $(-\infty, \infty)$ , range: $(-\infty, \infty)$ , increasing

Third function: domain: $[3, \infty)$ , range: $[-5,\infty)$ , increasing

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At an advertising agency that employs 256 people, 113 employees receive 2 weeks of paid vacation each year. What is the ratio of

frutty [35]

Answer: 113 : 256

Step-by-step explanation:

There are 113 people to receive a paid vacation every year against a total number of 256 employees.

The ratio is therefore:

113 : 256

<em>113 is a prime number so this is the lowest form this ratio can take. </em>

4 0

3 years ago

3. Suppose that you draw two cards from a standard 52 card deck. You replace the first card and shuffle thoroughly before you dr

Kruka [31]

Answer:

$\text{a)} \frac{1}{17} \text{b)} \frac{1}{221}\text{c)}\frac{12}{13}\text{d)}\frac{188}{221}$

Step-by-step explanation:

GIVEN: You draw two cards from a standard $52$ card deck. You replace the first card and shuffle thoroughly before you draw the second.

TO FIND: a) What is the probability that the first card is $7$ b) What is the probability that both cards are

SOLUTION:

Let $\text{A}$ and $\text{B}$ be two events such that

$\text{A}$ $=\text{first card drawn is 7}$

$\text{B}$ $=\text{Second card is 7}$

$\text{probability that first card is 7 =P(A)}$

<h3> $\text{P(A)}=\frac{\text{total 7 numbered cards}}{\text{total cards in deck}}$ </h3><h3> $\text{P(A)}=$ $\frac{4}{52}=\frac{1}{13}$ </h3>

$\text{probability that first card is 7 =P(A)}$

$\text{probability that both cards are 7}=$ $\text{first card is 7}\times\text{second card is 7}$

$\text{probability that both cards are 7}=$ $\text{P(A).P(B)}$

$\text{P(B)}=\frac{\text{total number of 7 numbered cards left}}{\text{total number of cards in deck left}}$

$\text{P(B)}=\frac{3}{51}=\frac{1}{17}$

$\text{probability that both cards are 7}=$ $\frac{1}{13}\times\frac{1}{17}$

$\text{probability that both cards are 7}=$ $\frac{1}{221}$

$\text{probability that first card is not 7}=1-\text{probability that first card is 7}$

$\text{probability that first card is not 7}=$ $1-\text{P(A)}$

$\text{probability that first card is not 7}=$ $1-\frac{1}{13}$

$\text{probability that first card is not 7}=$ $\frac{12}{13}$

$\text{probability that both cards are not 7}=$ $(\text{first card is not 7}).(\text{second card is not 7})$

$\text{probability that both cards are not 7}=$ $\text{[1-P(A)].[1-P(B)]}$

$\text{P(B)}=\frac{\text{total 7 numbered cards}}{\text{total cards left in deck}}$

$\text{probability that both cards are not 7}=$ $(1-\frac{1}{13})\times(1-\frac{4}{51})$

$\text{probability that both cards are not 7}=$ $\frac{12}{13}\times\frac{47}{51}$

8 0

3 years ago

The length of the red line segment is 10, and the length of the blue line segment is 6. How long is the transverse axis

OverLord2011 [107]

Subtract the two lengths:

10 - 6 = 4

The transverse axis = 4

7 0

3 years ago

Read 2 more answers

Molly owes her brother $300.She works for $10 per hour as a checker at the local grocery store.Molly plans to repay her brother

gavmur [86]

Answer: The expression which represents the condition described is given as $4x=300$

Step-by-step explanation:

Since we have given that

Amount that Molly owes her brother = $300

Let the number of hours she worked as a checker be x

Cost of per hour = $10

Amount she get after doing work for x hours is given by

$10x$

Rate of tax are taken out = 80%

So, amount she left with is given by

$\frac{100-20}{100}\times 10x\\\\=\frac{80}{100}\times 10x\\\\=8x$

So, Molly plans to repay her brother half of what she earns is given by

$\frac{8x}{2}=4x$

According to question,

$4x=300\\\\x=\frac{300}{4}\\\\x=75\ hours$

So, the expression which represents the condition described is given as

$4x=300$

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4 years ago

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A 2-gallon bucket of paint costs $58.00. What is the price per quart? $

tia_tia [17]

Answer:

7 dollars and 25 cents

Step-by-step explanation:

there is 8 quarts in 2 gallons then divide 58 dollars by 8 and you get 7 dollars 25 cents

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3 years ago

Graph the function. Then State the domain and range. Also increasing and decreasing​

Graph the function. Then State the domain and range. Also increasing and decreasing