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Leto [7]
3 years ago
14

If f (x) = StartRoot x EndRoot + 12 and g (x) = 2 StartRoot x EndRoot, what is the value of (f – g)(144)

Mathematics
2 answers:
Luda [366]3 years ago
4 0

The value of (f-g)(144) is 0

Step-by-step explanation:

We are given:

f(x)=\sqrt{x}+12\,\,and\,\,\\ g(x)=2\sqrt{x}

We need to find value of (f-g)(144)

We will put x=144 for both f(x) and g(x)

(f-g)(144)=f(144)-g(144)\\=\sqrt{144}+12-(2\sqrt{12})\\=12+12-(2(12)\\=24-24\\=0

So, the value of (f-g)(144) is 0

Keywords: Composite Functions

Learn more about Composite Functions at:

  • brainly.com/question/4939434
  • brainly.com/question/2723982
  • brainly.com/question/10772025

#learnwithBrainly

ipn [44]3 years ago
4 0

Answer:

the answer is c on edg2020

Step-by-step explanation:

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Determine whether or not the random variable X is a binomial random variable. If so, give the values of n and p. If not, explain
dimulka [17.4K]

Answer:

Both are binomials.

Step-by-step explanation:

Given that

a) X is the number of dots on the top face of fair die that is rolled.

When a fair die is rolled, there will be 1 to 6 numbers on each side with dots in that.  Each time a die is rolled the events are independent.  Hence probability of getting a particular number in the die is 1/6. There will be two outcomes either the number or not the number.  Hence X no of times we get a particular number of dots on the top face of fair die that is rolled is binomial with n = no of rolls, and p = 1/6

b) X is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which 0.02% of all parts are defective.

Here X has two outcomes whether defective or non defective.  EAch part is independent of the other in the sense that the probability for each trial is constant with 0.02% =p and no of trials = n = 10.

7 0
3 years ago
Interest of 1 million dollars 23% and 6 years please solve and will give brainliest to correct answer
Otrada [13]

Answer:

$2,462,825.99 is the interest accrued

Step-by-step explanation:

hope this helps

8 0
3 years ago
I need an answer ASAP!!! Tyyyy
patriot [66]

Part A

x = amount of money she starts with

(4/9)x = cost of the dress

(5/9)x = amount of money leftover after buying the dress

note that 4/9 and 5/9 add to 1 to represent 100% of her money

(3/4)*(5/9)x = (15/36)x = (5/12)x = amount spent on shoes

We see that she spent 5/12 of her original amount of money on shoes.

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

We can look at a more concrete example if the previous section does not make sense.

Let's multiply the denominators 9 and 4 to get 9*4 = 36. Doing this trick will mean that the later steps won't involve decimal values.

Let's say she starts off with $36

Multiply that with 4/9 to get (4/9)*36 = 16. So in this hypothetical situation, the dress costs $16 and she's left with 36-16 = 20 dollars.

Multiply that 20 by 3/4 to get (3/4)*20 = 15

In this situation, the shoes cost $15

We'll then divide the cost of the shoes (15) over the original amount of money she started with (36)

15/36 = (3*5)/(3*12) = 5/12

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

<h3>Answer:  5/12</h3>

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

Part B

From the first section in part A, we found that:

  • (4/9)x = amount of money spent on the dress
  • (5/12)x = amount of money spent on shoes

Add those two expressions

(4/9)x + (5/12)x = (16/36)x + (15/36)x = (31/36)x

This indicates that buying the dress and shoes will cost (31/36)x dollars, where x is the original amount of money Jing has to start with.

The amount left over is (5/36)x because 5/36 adds with 31/36 to get 1.

Take 1/3 of this to get:

(1/3)*(5/36)x = (5/108)x

Then set this equal to 18 and solve for x

(5/108)x = 18

5x = 18*108

5x = 1944

x = 1944/5

x = 388.80

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

Let's check the answer

If she starts with 388.80 dollars, then the dress costs (4/9)*388.80 = 172.80

She's left with 388.80 - 172.80 = 216 dollars after buying the dress.

She then spends the remaining 3/4 of that on shoes. So (3/4)*216 = 162 dollars is spent on the shoes.

Jing now has 216 - 162 = 54 dollars left over.

1/3 of which is spent on the shoe bag, meaning it costs (1/3)*54 = 18 dollars

This confirms our answer.

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

<h3>Answer:  $388.80</h3>
8 0
2 years ago
HELP PLEASE DUE IN 3 MINUTES
Irina18 [472]

Answer:

30

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
ben earned 45 dollars mowing lawns. he worked 3.2 hours on monday and 4.3 hours on tuesday. how much did he earn per hour?
dlinn [17]

Answer:

6 dollars per hour

Step-by-step explanation:

We can set up and solve an equation to answer this question. For this problem, let x stand for the amount he earned per hour. The equation that represents this situation is 3.2x + 4.3x = 45. The first term represents monday and the second represents tuesday. When these add up they should equal 45 because that is the total amount he made. To find his pay per hour, solve for x.

First, combine the like terms

  • 7.5x=45

Next, divide both sides by 7.5

  • x=6
3 0
2 years ago
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