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valentina_108 [34]
3 years ago
14

Given f(x)=4x^2-9 and g(x)=2x+3 find each function or value (f-g)(4)

Mathematics
1 answer:
yulyashka [42]3 years ago
4 0
(f-g)(x) = 4x²-2x-12 which,evaluated at x=4, gives 64-8-12=44
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Amy was scheduled for 12 intervals this week. One her first interval, she had a technical issue that prevented her from working
ad-work [718]

Based on the total of intervals vs the number of intervals Amy attended her CA percentage is 75%

<h3>What is the CA percentage?</h3>

The CA percentage measures the commitment of an employee to be logged in during the intervals that were assigned to him/her to work.

In this way, the CA percentage is equal to 100% if the employee worked as scheduled. Moreover, this percentage can be affected by factors such as:

  • Technical issues.
  • Human errors.

In the case of Amy, there is a total of 12 intervals and it is known:

  • She had a technical issue that prevented her from working, but this was reported so it is unlikely this is considered in her CA.
  • She missed three intervals because she looked at her schedule wrong.

Based on this information, let's calculate her CA:

  • 12 intervals = 100%
  • 9 intervals =  x

  • x = 9 x 100 / 12
  • x = 900 / 12
  • x = 75%

Learn more about percentage in: brainly.com/question/8011401

6 0
2 years ago
Jessica rolled two six-sided number cubes with sides numbered 1 through 6. The list below shows the possible outcomes when rolli
timurjin [86]
The list of possible outcomes in the question is totally incomprehensible.  But from our vast experience with questions like this and dice in general, we know there are 36 of them.

Now, here are all the ways to roll a total of 9:

3, 6
6, 3
4, 5
5, 4

Four of the 36 possible rolls result in a 9.
So the probability (with honest dice) is 4/36 = 1/9 = 11.1% .
3 0
3 years ago
How does the graph of y = sec(x + 3) – 7 compare with the graph of y = sec(x)?
Alla [95]

Answer:

The function y = sec(x) shifted 3 units left and 7 units down .

Step-by-step explanation:

Given the function: y = sec(x)

  • If k is any positive real number, then the graph of f(x) - k is  the graph of y = f(x) shifted downward k units.
  • If p is a positive real  number, then the  graph of f(x+p) is  the graph of y=f(x)  shifted to the left  p units.

The function y = \sec(x+3)-7 comes from the base function y= sec(x).  

Since 3 is added added on the inside, this  is a horizontal shift Left 3 unit, and since 7 is subtracted on the outside, this is a vertical shift  down 7 units.

Therefore, the transformation on the given function is shifted  3 units left and 7 units down


3 0
3 years ago
Read 2 more answers
Show that the following statement is an identity by transforming the left side into the right side. sin θ (sec θ + csc θ) = tan
ExtremeBDS [4]

Answer:

Step-by-step explanation:

Required to prove that:

Sin θ(Sec θ + Cosec θ)= tan θ+1

Steps:

Recall sec θ= 1/cos θ and cosec θ=1/sin θ

Substitution into the Left Hand Side gives:

Sin θ(Sec θ + Cosec θ)

= Sin θ(1/cos θ  + 1/sinθ )

Expanding the Brackets

=sinθ/cos θ + sinθ/sinθ

=tanθ+1 which is the Right Hand Side as required.

Note that from trigonometry sinθ/cosθ = tan θ

8 0
3 years ago
A road race is 13 1/2 miles long. There are water stations every 3/4 if a mile including at the finish line. How
Margarita [4]

The number of water stations there are along the 13 1/2 miles long road race according to the task content is; Choice C; 18 water stations.

<h3>What is the number of water stations along the road race?</h3>

It follows from the task content that the number of water stations can be determined as follows;

13 1/2 ÷ 3/4

= 27/2 × 4/3

= 18 water stations.

Read more on fraction division;

brainly.com/question/407943

#SPJ1

7 0
2 years ago
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