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kotykmax [81]
3 years ago
15

Using ƒ(x) = 2x + 7 and g(x) = x − 3, find ƒ(g(-2)).

Mathematics
1 answer:
Eva8 [605]3 years ago
4 0

Answer:

We conclude that:

f(g(-2)) = -3

Step-by-step explanation:

Given

  • f(x) = 2x + 7
  • g(x) = x-3

To determine

  • f(g(-2)) = ?

In order to determine f(g(-2)), first we need to determine g(-2)

so substituting x = -2 in g(x) = x-3

g(-2) = -2 - 3

        = -5

Thus,

f(g(-2)) = f(-5)

now substitute x = -5 in the function f(x) = 2x+7

f(x) = 2x+7

f(-5) = 2(-5) + 7

f(-5) = -10 + 7

f(-5) = -3

so

f(g(-2)) = f(-5) = -3

Therefore, we conclude that:

f(g(-2)) = -3

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A store sells a package of 12 trading cards for ​$5.52. Use pencil and paper. Explain how you can tell that the unit price per c
GrogVix [38]

Answer:

The cost of 12 trading cards are less than $12 so we can say that unit price of the card is lesser than $1.

Unit price per card is $0.46.

Step-by-step explanation:

Given:

Cost of 1 package of trading card = $5.52

Number of trading card in a package = 12

We need to explain how can we tell that the unit price per card is less than​ $1.

Also We need to unit price per card.

Solution:

Now we can see that;

Cost of 1 package of trading cards is $5.52

And we know that;

1 package contains 12 trading cards.

It means that;

Cost of 12 trading cards is $5.52.

From above we can say that;

If the cost of 12 trading cards were $12 or more than $12 than we would say that unit price of the card is $1 or greater than $1 respectively.

But the cost of 12 trading cards are less than $12 so we can say that unit price of the card is lesser than $1.

Now we will find the unite price per car.

12 trading cards =$5.52

1 trading card = Cost of 1 trading card.

Using Unitary method we get;

Cost of 1 trading card = \frac{5.52}{12} = \$0.46

Hence Unit price per card is $0.46.

6 0
3 years ago
Determine if true:<br> 3x5+8=23
Yuliya22 [10]

Answer:

True

Step-by-step explanation:

3x5=15

15+8=23

23=23

4 0
2 years ago
Read 2 more answers
For which intervals is the function decreasing?
lilavasa [31]

Answer:

The function is decreasing in the following intervals

A. (0, 1)

C. (2, pi)

Step-by-step explanation:

To answer this question, imagine that you draw lines of slope m parallel to the function shown at each point.

-If the slope of this line parallel to the function is negative for those points then the function is decreasing.

-If the slope of this line parallel to the function is positive for those points then the function is increasing.

Observe in the lines drawn in the attached image. You can see that they have slope less than zero in the following interval:

(0, 1) U (2, pi)

Therefore the correct option is:

A. (0, 1)

C. (2, pi)

5 0
4 years ago
People at the state fair were surveyed about which type of
Ronch [10]

Answer:

Step-by-step explanation:

You would require the table with the number of males and females who prefer either pink or yellow lemonade at the state fair.

                      Pink Lemonade         Yellow Lemonade       TOTAL

 

Male                    156                                104                          260

 

Female                  72                               48                          120

 

TOTAL                 228                               152                         380

P(pink lemonade | female) = 72 / (48 + 72) = 72 / 120 = 0.6

P(pink lemonade) = (156 + 72) / (156 + 72 + 104 + 48) = 228 / 380 = 0.6

Therefore, The event "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6

6 0
4 years ago
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