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Amanda [17]
3 years ago
7

Wich of the graphs is a solution to the equation

Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0
Since x is less than or equal to 3, it would then be the second graph, because the arrow is saying it's less than, and the solid dot means it's equal to or less than.
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Is 8 cm larger than 3/8 inch
Hoochie [10]
Nope. 3/8 an inch is 0.9525 cm. 
7 0
3 years ago
Determine whether the statements are True or False. Justify your answer with an explanation.
frez [133]

Problem 1

<h3>Answer: False</h3>

---------------------------------

Explanation:

The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.

So,

f(x) = x+1

f( g(x) ) = g(x) + 1 .... replace every x with g(x)

f( g(x) ) = 6x+1 ... plug in g(x) = 6x

(f o g)(x) = 6x+1

Now let's flip things around

g(x) = 6x

g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)

g( f(x) ) = 6(x+1) .... plug in f(x) = x+1

g( f(x) ) = 6x+6

(g o f)(x) = 6x+6

This shows that (f o g)(x) = (g o f)(x)  is a false equation for the given f(x) and g(x) functions.

===============================================

Problem 2

<h3>Answer: True</h3>

---------------------------------

Explanation:

Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.

For example, let

f(x) = 1/(x+2)

g(x) = -2

The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.

So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).

7 0
3 years ago
Skylar is filling a barrel with water. The graph shows the relationship between time in minutes and the gallons of water in the
lisov135 [29]

Answer:

t>15  will be inequality which shows the times there will be more than 10 gallons in the barrel.

Step-by-step explanation:

To determine:

Write an inequality showing the times there will be more than 10 gallons in the barrel.

Information Fetching and Solution Steps:

  • Skylar is filling a barrel with water.
  • The graph shows the relationship between time in minutes and the gallons of water in the barrel.

As the questions asks to determine the inequality showing the times there will be more than 10 gallons in the barrel.

For inequalities with 'more than', we use the 'greater than' symbol.

The graph shows that at time 15 minutes, the number of gallons of water is being shown as 10. As we have to determine the inequality for the time there will be more than 10 gallons in the barrel. So, time must be greater than 15 when there will be more than 10 gallons in the barrel.

If time is represented by 't', then the inequality showing the times there will be more than 10 gallons in the barrel will be:

                                                                   t>15

Therefore,  t>15  will be inequality which shows the times there will be more than 10 gallons in the barrel.

4 0
3 years ago
The probability that a can of paint contains contamination is 3.23%, and the probability of a mixing error is 2.4%. The probabil
stich3 [128]

Answer:

4.6%.

Step-by-step explanation:

The probability that a can of paint contains contamination(C) is 3.23%

P(C)=3.23%

The probability of a mixing(M) error is 2.4%.

P(M)=2.4%

The probability of both is 1.03%.

P(C \cap M)=1.03\%

We want to determine the probability that a randomly selected can has contamination or a mixing error. i.e. P(C \cup M)

In probability theory:

P(C \cup M) = P(C)+P(M)-P(C \cap M)\\P(C \cup M)=3.23+2.4-1.03\\P(C \cup M)=4.6\%

The probability that a randomly selected can has contamination or a mixing error is 4.6%.

3 0
3 years ago
Pls answer the question in the picture!!! I NEED HELP
pentagon [3]

Answer:

448=h

Step-by-step explanation:

512 - h = 16 x 2²

512 - h = 16 x 4

512 -h = 64

then subtract 512 from both sides

-h = -448

two negatives equal a positive

h=448

7 0
3 years ago
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