If f(x) = 2x - 6 and dx) = 3x + 9, find (f - g(x).
O A. (f- g)(x) = -x- 15
O B. (f- g)(x) = x + 15
O C. (f- g)(x) = -x+ 3
O D. (f - g)(x) = 5x + 3

Answer:

43.25

Step-by-step explanation:

answer: 58% ?? if I'm wrong I am sorry

Answer:

y = 3/x

Step-by-step explanation:

Answer:

a lawn is probaly 50m in size

Answer:

cindy is 51

Step-by-step explanation:

70 divided by 2 is 45

45+ 6 is 51

Hey there!

36y - 12

FIRST LOOK AT THE GCF (Greatest Common Factor)

36y: 1, 2, 3, 4, 6, 9, 12, 18, 36, and y

12: 1, 2, 3, 4, 6, and 12

GCF: 12

So, 12 would most likely be number before you make your parentheses

12(?y - 1)

The numbers in your original equation both share 3 & -1

So, therefore the factor form of your equation should be: 12(3y - 1)

Answer: 12(3y - 1)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

\(12(3y -1)\)

Step-by-step explanation:

\(\textbf{Given that,}\\\\~~~~36 y -12\\\\= 12 \cdot 3 y -12~~~~~~~~~~~~~~~~~~~;\textbf{Rewrite.}\\\\=12(3y -1)~~~~~~~~~~~~~~~~~~~~;\textbf{Take out the common factor 12.}\)

Answer:

2/3

Step-by-step explanation:

start at the first point and count up and then over. it is 2 squares UP, and 3 squares OVER. remember rise over run, rise (2) on top and run (3) on bottom!

Answer:

M = \(\frac{2}{3}\)

Step-by-step explanation:

The two coordinate points given are (2,2) and (-1,0).

We can use the slope formula to find the slope.

\(Slope(m)=\frac{y2-y1}{x2-x1}\)

\(m=\frac{0-2}{-1-2}\)

\(m=\frac{-2}{-3} or \frac{2}3}\)

The baseball team can bring 11 players to the tournament based on their budget.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of players the team can bring to the tournament. They rented a bus for $856.50 and budgeted $24.75 per player for meals, hence:

24.75x + 856.5 = 1128.75

x = 11

The baseball team can bring 11 players to the tournament based on their budget.

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(a) 27 outcomes in the sample space are : (1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3), (2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3), (3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)

(b) All outcomes in the event that all three members go to the same station are : (1,1,1), (2,2,2), (3,3,3)

(a) The 27 outcomes in the sample space can be represented as ordered triples, where each element corresponds to the station that each family member is assigned to. The possible values for each element are 1, 2, and 3. Therefore, the sample space consists of the following 27 outcomes:

(1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3),

(2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3),

(3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)

(b) The outcomes in the event that all three members go to the same station can be found by examining the 27 outcomes in the sample space and selecting those outcomes where all three elements are the same. Therefore, the outcomes in the event that all three members go to the same station are:

(1,1,1), (2,2,2), (3,3,3)

In these outcomes, all three family members are assigned to the same station. There are three such outcomes, since each family member can be assigned to any one of the three stations.

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Answer:

5z^2-8z+3

-5×-3=15

-5+-3=-8

so...

5z^2-5z-3z+3

5z(z-1)-3(z-1)

therefore the answer is...

(5z-3) (z-1)

The values of x and y using the concept of similar figures are:

y = 166 and x = 3.33 units

Two triangles are said to be similar if their corresponding side proportions are the same and their corresponding pairs of angles are the same. When two or more figures have the same shape but different sizes, such objects are called similar figures.  

We are told that Polygon ABCD is similar to Polygon EFGH and as such applying the similar figure definition above, we can say that:

∠B = ∠F

Thus:

∠B = 360 - (61 + 116 + 90)

∠B = 360 - 267

∠B = 93°

Thus:

y - 73 = 93

y = 166

Using the concept of similar figures, then:

6/4 = 5/x

x = 20/6

x = 3.33 units

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The value of i/S is 0.02.

Therefore the answer is 0.02.

Given the information, we can first find the value of e, using the equation a = l + e, where l/a = 0.20 and a = 100:

e = a - (l/a) * a = 100 - (0.20 * 100) = 100 - 20 = 80

Next, we can find the value of i using the given information i/e = 0.10:

i = i/e * e = 0.10 * 80 = 8

Finally, we can find the value of i/S using the equation i/S = i / (S/a) * a = 8 / (4 * 100) = 8 / 400 = 0.02.

So, the value of i/S is 0.02.

--The question is incomplete, answering to the question below--

"S/a = 4; l/a = 0.20; i/e = 0.10; a = l + e and a = 100. find i/S."

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Answer:

General equation : y = mx + c

2y - 4x = 2

2y = 4x + 2

y = 2x + 1

Therefore m = 2 and c = 1.

Answer:

15 rooms

Step-by-step explanation:

18/6 = 3 so multiply 3 times 5 and that equals 15!

Answer:

15 rooms.

Step-by-step explanation:

since they can clean 5 rooms in 6 hours, and it's asking how many rooms they can clean in 18 hours:

5/6=x/18

solve for x:

6x=90

x=15

Or you could've just multiplied 5 by 3 since 6(3)=18.

Answer: 816.4 \(ft^2\)

Step-by-step explanation: The formula is A=2\(\pi\)rh

Answer: -15/4 or -3 3/4

Step-by-step explanation:

To solve this problem, you can create an equation:

\(T(x) = 0 - \frac{5}{4}x\)

For this equation, we want x to represent the hours passed. We know that noon is three hours after 9AM so we can plug 3 in:

\(T(3) = 0 - \frac{5}{4} * 3 = -\frac{15}{4}\)

I hope this helps, and if you need any more clarification, let me know.

Answer:

I think the answer should be .8 meters per seconds

Sorry if im incorrect. I hope this helps Stay SAFEEE!!!

Answer:

5/12

Step-by-step explanation:

Dividing each fraction by a divisible number results in

3/9= 1/3

6/14=3/7

4/22=2/11

Answer:

8%

Step-by-step explanation:

1. Subtract the larger number from the smaller:

  3780 - 3500 = 280

2. Divide the result from step 1 by the FIRST salary amount:

   280 ÷ 3500 = 0.08  NOTE: Order Matters!!!

3. Change the decimal to a percent

(2x + 3) (x^2 - 6x + 9)

Using percentages, we know that there are 64% of sheep in the total of all the animals, which is the ratio [Cows:pigs:sheep = 2:7:16].

So, the percentage of sheep in the given ratio:

So, the total number of animals:

Now, calculate 16 as what percentage of 25 as follows:

Therefore, using percentages, we know that there are 64% of sheep in the total of all the animals, which is the ratio [Cows:pigs:sheep = 2:7:16].

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Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Hope this helps :)

Answer:

8

Step-by-step explanation:

6 divided by 0.75 is 8 :)

Answer:

she will fill 8 boxes

Step-by-step explanation:

Answer:

x(5x²-7)

Step-by-step explanation:

5x³-7x

=x(5x²-7)

To prove your answer,let's multiply x by each term in the bracket

=x X 5x²=5x³

x X -7 =-7x

Answer:

120 in 2 days

Step-by-step explanation:

Juan read 300 pages in 5 days. which reading rate is equivalent?

Juan reads 300/5 = 60 pages a day.

A. 150 in 3 days 150/3 = 50 pages a day

B. 120 in 2 days 120/2 = 60 pages a day

C. 105 in 1 day 105/1 = 105 pages a day

D. 100 in 3 days 100/3 = 33.33 pages a day

Answer:

A = -2/3

B = 8

C = -24

Line of symmetry calculation = x = -8/2*(2/3)

Line of symmetry is x = 6

Opens down

Min/man is (6,0)

Vertex is (6,0)

Domain is (-infinity, infinity)

Range is (-infinity, 0)

1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.

For given question,

Let x be the quantity ( in liters ) of glycerin added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin,

Thus,

Quantity of glycerin in 12 liters + Quantity of glycerin in x

= Quantity of glycerin in resultant mixture.

⇒ 8% of 12 + 100% of x = 16% of (12 + x )

⇒ 0.08 × 12 + x = 0.16 × ( 12 + x )

⇒ 0.96 + x = 0.16 × 12 + 0.16x

⇒ 0.96 + x = 1.92 + 0.16x

⇒ x - 0.16x = 1.92 - 0.96

⇒ 0.84x = 0.96

⇒ x = 1.143 liters

Therefore, 1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.

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a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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