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3 years ago

A linear function has the same y-intercept as x + 4y = 20 and its graph contains the

Mathematics

1 answer:

MariettaO [177]3 years ago

8 0

Answer:

(0,5)

Step-by-step explanation:

x + 4y = 20

4y = -x + 20

y = -1/4x + 5

The y - intercept of the line is 5

(0,5)

-Chetan K

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Determine the first five terms I. The sequence that has a recursive rule of f(n) = f(n-1) + 2 for n is greater than or equal to

eimsori [14]

Answer:

Okay let me explain this to you so you understand

So what does f(n) mean?

Well F(n) is saying the function, of n.

Basically we need to make n be any random number.

Well what number do we choose?

In your question, it says n is greater than or equal than 2.

lets start with 2

f(n-1)+2

f(2-1)+2

1+2

f(2) is 3

lets do this 4 more times

that leaves us with the first 5 terms

these 5 terms are

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3 years ago

Suppose a card is drawn from a deck of 52 playing cards. what is the probability of drawing a 5 or a king?

BigorU [14]

Since there are 4 fives and 4 kings in a deck of 52 cards, the probability of choosing either a five or a king is 8/52 which simplifies as 2/13.

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3 years ago

A salesperson at a jewelry store earns 5% commission each week. Last week, Jarrod sold $640 worth of jewelry. How much did he

Aleksandr-060686 [28]

Answer:

$32

Step-by-step explanation:

To find the commission, multiply the rate by the sales:

commission = 5% × $640 = $32

He made $32 in commission.

<em>Additional comment</em>

Many calculators and all spreadsheets can work with percentages directly. If yours can't, or if you can't do this arithmetic mentally, you can use the equivalent decimal or fraction for 5%.

5% = 5/100 = 0.05 = 1/20

Then 5% × $640 = $640/20 = $64/2 = $32.

3 0

3 years ago

Read 2 more answers

Suppose a movie starts at 5:00 p.m. and Lindsay, a customer who is always late, arrives at the movie theater at a random time be

Arte-miy333 [17]

Answer:

a) We know that the distribution for X is given by: $X \sim Unif (a=10, b=45)$

The density function for this distirbution is given by:

$f(x) = \frac{1}{b-a}= \frac{1}{45-10}= \frac{1}{35} , 10 \leq X \leq 45$

So then the height of the uniform density curve would be given by:

$h = \frac{1}{35}= 0.029$

b) For this case we want to calculate the following probability:

$P(X\leq 20)$

And we can use the cumulative distribution function given by:

$F(X) =\frac{x-a}{b-a}=\frac{x-10}{35} , 10 \leq X \leq 45$

And we can calculate the probability like this:

$P(X \leq 20) = F(20) = \frac{20-10}{35}=0.286$

Step-by-step explanation:

For this case we define our random variable X="Lindsay's late arrival time, in minutes"

Part a

We know that the distribution for X is given by: $X \sim Unif (a=10, b=45)$

The density function for this distirbution is given by:

$f(x) = \frac{1}{b-a}= \frac{1}{45-10}= \frac{1}{35} , 10 \leq X \leq 45$

So then the height of the uniform density curve would be given by:

$h = \frac{1}{35}= 0.029$

Part b

For this case we want to calculate the following probability:

$P(X\leq 20)$

And we can use the cumulative distribution function given by:

$F(X) =\frac{x-a}{b-a}=\frac{x-10}{35} , 10 \leq X \leq 45$

And we can calculate the probability like this:

$P(X \leq 20) = F(20) = \frac{20-10}{35}=0.286$

7 0

4 years ago

What is the domain of the function

IRINA_888 [86]

$\sqrt{5+x}$ is defined as long as $5+x\ge0$ , or $x\ge-5$ . However, $\dfrac1x$ is undefined when $x=0$ . This point is contained in the set $\{x|x\ge-5\}$ , so we need to exclude it. We can write the domain in several ways.

$\{x|x\ge-5~\land~x\neq0\}$
$-5\le x$
$[-5,0)\cup(0,\infty)$

6 0

3 years ago