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3 years ago

Which answer choice do I choose?

Mathematics

1 answer:

Ratling [72]3 years ago

3 0

The second answer is correct because in order for the ordered pairs to represent a function, there can only be 1 y value for every x value. The second option has 2 different y values for x = 3 so it is not a function.
The answer is the second option.

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Write an equation in point-slope form of the line having the given slope that contains the given point.

Ad libitum [116K]

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})~\hspace{10em} \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-3}[x-\stackrel{x_1}{(-2)}]\implies y-1=-3(x+2)$

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4 years ago

two paintings both have a current value of $15,000. The estimated value of each painting over the next five years is shown in th

gulaghasi [49]

Answer:

Step-by-step explanation:

painting a increases expoonentially

1.05(A value)= N

same for painting b by 1.02x

but a increases .3 %more

6 0

3 years ago

Read 2 more answers

What is the value of x?

GenaCL600 [577]

Answer:

Step-by-step explanation:

Look at the picture.

We have the triangles 45° - 45° - 90° and 30° - 60° - 90°.

The sides of those triangles are in ratio:

1 : 1 : √2 and 1 : √3 : 2

Therefore

If AC = 6√2 then AB = BC = 6

If BC = 6 then x = 6 : 2 = 3

7 0

3 years ago

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 500 square feet. The width of the basem

Mazyrski [523]

Answer:

The correct answer is the length is 10 feet and width is 2 feet respectively.

Step-by-step explanation:

Let length of the rectangular floor of Louis' basement be l feet and width be $\frac{l}{5}$ feet respectively.

Area of the basement floor is given to be 500 square feet.

Therefore according to the given problem,

l × $\frac{l}{5}$ = 500

⇒ $l^{2}$ = 100

⇒ l = 10 ; [length cannot be negative]

⇒ b = 2

Thus the length and width be 10 feet and 2 feet respectively.

4 0

3 years ago

It is a well-known fact that 50% of the general population are rascals (P(R) = 0.5) and 50% of the general population are not ra

aleksley [76]

Answer:

The answer is D. 0.75

Step-by-step explanation:

Let call R the event that a person is rascal, RC a person is not rascal, TH a person use top hat and NTH a person don’t use top hat.

From the information on the question we have 4 options with their respective probability:

1. A person could be rascal and use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and use a top hat (0.9), then:

P(R y TH)=0.5*0.9=0.45

2. A person could be rascal and don’t use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and not use a top hat (0.9), then:

P(R y NTH)=0.5*0.1=0.05

3. A person could be not rascal and use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and use a top hat (0.3), then:

P(RC y TH)=0.5*0.3=0.15

4. A person could be not rascal and not use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and not use a top hat (0.7), then:

P(RC y NTH)=0.5*0.7=0.35

Then the probability that a person is a rascal given that he is wearing a top hat could be written and calculate as:

$P(R/TH)=\frac{P(R y TH)}{P(TH)}$

For calculate P(TH) we need to sum all the option in which TH is involve so:

P(TH) = P(R y TH)+ P(RC y TH)

P(TH)=0.45+0.15=0.6

Replacing values on the first equation we get:

$P(R/TH)=\frac{0.45}{0.6} =0.75$

So, the probability that a person is a rascal given that he is wearing a top hat is 0.75

5 0

3 years ago