If you shift the linear parent function, f(x) = x, down 6 units, what is the

a vender sold a combined total of 244 sodas and hotdogs. the number of hot dogs sold was 38 less then the number of sodas. how m

Ad libitum [116K]

H+s=244
h=s-38

sub s-38 for h
s-38+s=244
2s-38=244
add 38 both sides
2s=282
divide 2 both sides
s=141

sub
h=s-38
h=141-38
h=103

103 hot dogs
141 sodas

4 0

4 years ago

Read 2 more answers

What is 3 x 3 x 3 x 3 x 3 as an exponent

PilotLPTM [1.2K]

What is 3 x 3 x 3 x 3 x 3 as an exponent?

$a^b$
a = base
b = to the power
a to the power of b

3 will be the base.
How many times does 3 multiply to itself?
3 x 3 x 3 x 3 x 3
5 times.
The power will be 5.
 $3^5$
and this can be said as Three to the power of five.

 $3^5$ = 3 x 3 x 3 x 3 x 3 = 243
 $3^5$ = 243

8 0

3 years ago

Read 2 more answers

3x-9 when x=3 Solve this

Citrus2011 [14]

Answer:

0

Step-by-step explanation:

3x - 9 if x = 3

Substitute:

3(3) - 9 =

9 - 9 = 0

This can be written as a function: f(x) = 3x - 9

f(3) = 3x - 9

f(3) = 3(3) - 9

f(3) = 9 - 9

f(3) = 0

-Chetan K

3 0

3 years ago

Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let AAA be the event that the six-sided d

myrzilka [38]

The question is incomplete. Here is the complete question.

Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the six-sided die is an even number and B be the event that the four-sided die is an odd number. Using the sample space of possible outcomes below, answer each of the following questions.

What is P(A), the probabillity that the six-sided die is an even number?

What is P(B), the probability of the four-sided die is an odd number?

What is P(A and B), the probability that the six-sided die is an even number and the four-sided die is an odd number?

Are events A and B independent?

a) Yes, events A and B are independent events.

b) No, events A and B are not independent events.

Answer: P(A) = 1/2

P(B) = 1/2

P(A and B) = 1/4

a) Yes, events A and B are independent events.

Step-by-step explanation: The event A is related to a six-sided die, so total possibilities is 6.

For a six-sided die to show a even number, there are 3 possibilities: (2,4,6)

so, P(A) = 3/6 = 1/2

The event B is for a 4-sided die, i.e. total possibilities is 4.

To show an odd number, there are 2 possibilities: (1,3).

Then, P(B) = 2/4 = 1/2

Now, the probability of occuring A and B is:

P(A and B) = P(A).P(B)

P(A and B) = 1/2*1/2

P(A and B) = 1/4

The events are independent events because the probability of A happening does not influence the occuring of event B.

3 0

4 years ago

C is the point (-301, 601) Does C lie on the straight line passing through A and B?

Marat540 [252]

Answer:

There is no picture or graph to go with the question so I am afraid I will not be able to give you a specific answer.

To find out if a point (x, y) is on the graph of a line, we plug in the values into that equation and see if we get a true statement, such as 10 = 10. If we get something different, like 6 = 4, we know that the point is not on the line because it does not satisfy the equation. Plug in (-301, 601) into the equation of the line to see whether that point lies on it or not.

Step-by-step explanation:

Suppose the equation of the straight line that passes through E and F is this:

y = 7x + 2

We are to figure out whether or not the point (1, 10) lies on that line. In order to do this we would plug in (1, 10) into the equation, with 1 being x and 10 being y.

10 = 7(1) + 2 = 7 + 2 = 9

10 = 9 is a false statement. Therefore, the point (1, 10) does NOT lie on the line y = 7x + 2.

If you were to provide an image or graph that shows the equation of line AB then perhaps I would be able to answer your question with a specific answer.

8 0

2 years ago