-3(x-4)=-9(x-1) solving linear equations

The given functions are:

To solve for f(g(6)), first we need to find g(6):

So, f(g(6))=f(148), now find f(148):

The answer is f(g(6))=737

b. Find f(f(2)).

Start finding f(2):

Now, f(f(2))=f(7), solve for f(7):

The answer is f(f(2))=32

Answer:

x=7

Step-by-step explanation:

You need to bring 9x to the right side and bring '-ll' to the left side so it will be 11+10 = 12x-9x. Then you calculate 11+10, which is 21, then you subtract 12x to 9x. Then it will be 21 = 3x. Lastly, you divide 3 on both sides of the equation and get x to be 7!

Answer:

x=7

Step-by-step explanation:

9x+10=12x-11

-9x. -9x. subtract 9x from both sides

10 = 3x-11

+11 +11. add 11 to both sides

21 =3x

divide by 3x (21 ÷3=7) therefore x=7

The calculation that will be performed first in the formula =D1+C1/F3 is option a. C1/F3 because in the order of operations, division is performed before addition.

In the formula =D1+C1/F3, the calculation that will be performed first is: a. C1/F3. This is because, according to the order of operations (PEMDAS/BODMAS), division should be performed before addition.

1. Perform the division operation: C1/F3
2. Perform the addition operation: D1 + (result from step 1)

So, The calculation that will be performed first in the formula =D1+C1/F3 is option a. C1/F3 because in the order of operations, division is performed before addition.

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Answer:

\(<ADB=9\)×\(5+4\)\(=49\)

Step-by-step explanation:

\(<(13x-16)=<(9n+4)\\\\13x-9x=4+16\\\\4x=20\\\\x=\frac{20}{4} \\\\x=5\\\\<ADB=9*5+4=49\)

hope it helps....

Answer:

she is going to make $408.90 in 18.2518.25 hours

Answer: He is at his house

Step-by-step explanation:

If he goes north and south the same amount, because 2 -2 = 0, Tom will be at the same spot, which in this case is his house.

600 mL corresponds to 15 teaspoons of sugar

That gives the ratio 600:15

Divide both parts of that ratio by 3 so we get to 200:5

Then multiply both parts by 10 to get 2000:50

This says 2000 mL, aka 2 liters, of soda has an estimated 50 teaspoons of sugar.

To convert from teaspoons to grams, we multiply by 4. This is directly from the equation of 1 teaspoon = 4 grams of sugar

So 50 teaspoons = 50*4 = 200 grams of sugar.

To go from grams to teaspoons, we divide by 4.

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

To find the actual amount of sugar, you'll need to find a 2 liter bottle of soft drink and look at the nutrition facts label. You can search for the nutrition facts label online if you don't have a bottle near you. Keep in mind you're looking for the 2 liter plastic bottle version and NOT the 12 fluid-ounce can version.

Also, keep in mind that the nutrition facts label will list the amount of sugar per serving. This isn't the total sugar since it's just a small portion. Multiply the number of servings by the amount of sugar per serving.

Example: If there are 7 servings and 20 grams of sugar per serving, then that's a total of 7*20 = 140 grams of sugar total.

Side note: the amount of sugar will vary from brand to brand. However, they should all be in the same basic ballpark.

Answer:

V=1080

Step-by-step explanation:

It's simple enough.  Just do LxWxH! :D

\((12)(15)(6)\)

\((12)(90)\)

\(1080\)

To efficiently parallelize the heapify operation and create a minheap, we can use the parallel heapify algorithm. This algorithm utilizes the power of parallel processing to improve the performance of the heapify operation.

The parallel-heapify algorithm can be implemented as follows:

1. Divide the input array of values into equal-sized chunks, assigning each chunk to a separate processor or thread.

2. Each processor/thread performs the heapify operation independently on its assigned chunk of the array. This involves comparing each element with its parent and swapping if necessary to maintain the minheap property.

3. After completing the local heapify operation, the processors/threads synchronize and exchange boundary elements with their adjacent processors/threads to ensure that the entire array is correctly sorted.

4. Repeat steps 2 and 3 until the minheap property is satisfied throughout the entire array.

By distributing the heapify operation across multiple processors/threads, the parallel-heapify algorithm can significantly reduce the execution time compared to a sequential implementation. This allows for faster sorting of large arrays and improves the efficiency of heap-related operations.

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Option A, "Carl has read 40 pages and Laura has read 50 pages," accurately represents the solution (40, 50) in this situation.

The solution (40, 50) in the given system of equations represents that Carl has read 40 pages and Laura has read 50 pages.

In the context of the situation described, the system of equations is used to compare the number of pages each person has read.

The solution (40, 50) means that when Laura begins reading her copy of the book, Carl has already read 10 pages, and after some time has passed (represented by the variables x minutes), Carl has read a total of 40 pages and Laura has read a total of 50 pages.

Therefore, option A, "Carl has read 40 pages and Laura has read 50 pages," accurately represents the solution (40, 50) in this situation.

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Answer:

30%

Step-by-step explanation:

Just took the test

The front-end estimate of \(33\dfrac{1}{3} \%\) is approximately 30% using the rule of front-end approximation.

A front-end estimate is an approximation that involves looking only at the left digit of the number.

Rounding off numbers means adjusting a number simpler by adjusting it to its nearest place according to certain rules. In rounding off numbers, the place value starts from tens place

The front-end estimate of\(33\dfrac{1}{3} \%\)  can be calculated as follows:

To estimate \(33\dfrac{1}{3} \%\)using a front-end approach, we can round it to the nearest ten percent.

So, the nearest tens place is 30%.

So, the front-end estimate of \(33\dfrac{1}{3} \%\) is approximately 30%.

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If they plan to randomly select 30 parents and send them a survey and follow up with a phone call , then type of sampling strategy being used is (a) Cluster Sampling.

The Cluster Sampling is defined as a sampling technique where the entire population is divided into groups or clusters, and then a sample is taken from each cluster.

In this case, the entire population of the school system is divided into 10 elementary schools, and a sample of 30 parents from each school is selected.

The idea behind cluster sampling is that it is often easier and more efficient to obtain a sample from a smaller group rather than trying to select a sample from the entire population. The key feature of cluster sampling is that the units selected from the population are groups rather than individuals.

The given question is incomplete , the complete question is

In a large city school system with 10 elementary schools in a variety of neighborhoods, the school board is considering the adoption of a new policy that would require elementary students to pass a test in order to be promoted to the next grade. The PTA wants to find out whether parents agree with this plan. They plan to randomly select 30 parents from every elementary school, then send them a survey and follow up with a phone call or home visit if the survey is not returned within a week.

Which type of sampling strategy is being used ?

(a) Cluster Sampling

(b) Convenience Sampling

(c) Stratified Sampling

(d) Voluntary Sample .

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The total cost of the meal, before tax, is $19.84

We know that her dinner came to $16, and she wanted to leave a 24% tip, so to find the value of the tip we need to find the 24% of $16, this is just:

tip = (0.24)*$16 = $3.84

Now we can add the value of the tip and the cost of the dinner to find the total amount she pays for the meal:

total cost = $16 + $3.84 = $19.84

That is the total cost before the tax.

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When two lines are parallel they mean that both slopes are the same, this means that if the green line has a slope of -1/2, the slope of the red line is also -1/2.

Answer:

the range is 9.4

Step-by-step explanation:

the range is the highest minus the lowest temperature

range=9.7-0.3

=9.4

hope this helps

Answer:

A -1

Step-by-step explanation:

The coefficient is the number in front of a variable. since there isn't a number we can conclude that the y is only there once. There is 1 (one) y. Since it is subtracting in front of the coefficient, we can determine it is taking one away, or -1. So 6-y+3 is 6-1y+3.

Answer:

if the lines have arrows at the end then the domain is infinite.

Step-by-step explanation:

Lines are infinite

Answer:

Domain: x ∈ all real numbers

Step-by-step explanation:

It appears to be the function |x|-1 and that is defined by all values of x. Meaning that the domain is x can be any value.

Answer:

$57.4

Step-by-step explanation:

82x(1-0.3)=82x0.7=57.4

The statement ''the shape of a sampling distribution of sample means that follows the requirements of the central limit theorem will be approximately bell-shaped.'' is true. The statement ''A sampling distribution of sample means has a mean, μ /√n 1to.'' is false.

(a) According to the central limit theorem, when the sample size is sufficiently large, the sampling distribution of sample means will approximate a bell-shaped distribution, regardless of the shape of the population from which the samples are drawn. This is one of the key properties of the central limit theorem.

(b) The correct formula for the mean of a sampling distribution of sample means is μ, not μ/√n. The mean of the sampling distribution of sample means is equal to the population mean (μ). The formula μ/√n is used to calculate the standard deviation (σ) of the sampling distribution, not the mean.

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Answer:

Step-by-step explanation:

x=4 so I think you should choose 3)

Answer:

12

Step-by-step explanation:

you divide 120 by 10 since dimes are equal to ten cents

To determine how many dimes are in dollars:

  ⇒ must know the rate of conversion

     ⇒ for every dollar, there are 10 dimes

         ⇒  \(\frac{1_. dollar}{10_. dimes}\)

Let's solve:

   \(120_. dimes * \frac{1_.dollar}{10_.dimes} = \frac{120}{10} *\frac{dimes}{dimes} *dollar=12_.dollars\)

Thus you would get 12 dollars

Answer: 12 dollars

Hope that helps!

Answer:

10) -1.5

11) 1

Step-by-step explanation:

Hope this helps! Pls give brainliest!

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AnswerS :

1. Tan Z = p / b = 21/28

2. Cos C = b / h = 16 / 34 = 8/17

3. Sin C = p/ h = 28/35

4. Tan X = p / b = 32/24 = 16 / 12

5. cos A = b / h = 30/34 = 15 / 17

6. Sin A = p / h = 32/40 = 16/20

7. sin Z = p / h = 24 / 40 = 12 / 20

8. sin C = p / h = 14 / 50 = 7 / 25

RemembeR :

- HappY LearninG (≧▽≦)

__________________________________

SOHCAHTOA is an acronym for the formula

Sin= Opposite/hypothenuse

cos= adjusent/ hypothenuse

tan=opposite/adjusent

After u found the ratio u use inverse- put it in ur calculator then u get the answer

i answered one question- so u see how to solve

Same age

See explanation below

Let the age of Jasmine = y

Multiplying Jasmine age by 3 and adding 6:

= (y × 3) + 6

= 3y + 6

Multiplyng the sum by 2:

2 × the sum = 2 × (3y + 6)

= 6y + 12

Let James age = z

Multiplying the age by 2 and adding 4:

James age × 2 = z × 2 = 2z

adding 4 = 2z + 4

Multiplying the sum y 3:

3 × the sum = 3 × (2z + 4)

= 6z + 12

Now since they are twins, they ae most likely same age

This means:

6y + 12 = 6z + 12

subtracting 12 from both sides:

6y = 6z

dividing both sides by 6:

y = z

Hence, Jasmine age is the same as James age

B) The expression for Jasmine = 2(3y + 6) = 6y + 12

The expression for James = 3(2z + 4) = 6z + 12

let the twin's age = 2, 3, 4, 5

when twin's age = 2

6y + 12 = 6(2) + 12 = 12 + 12 = 24

6z + 12 = 6(2) + 12 = 12 + 12 = 24

when twin's age = 3

6y + 12 = 6(3) + 12 = 18 + 12 = 30

6z + 12 = 6(3) + 12 = 18 + 12 = 30

when twin's age = 4

6y + 12 = 6(4) + 12 = 24 + 12 = 36

6z + 12 = 6(4) + 12 = 24 + 12 = 36

when twin's age = 5

6y + 12 = 6(5) + 12 = 30 + 12 = 42

6z + 12 = 6(5) + 12 = 30 + 12 = 42

Plotting the table:

Answer:

46 yards.

Step-by-step explanation:

Subtract the new balance from the original balance:

30.00 - 19.88 = 10.12

Therefore, Rachel spent $10.12

Divide the result by the cost of ribbons per yard:

10.12 ÷ 0.22 = 46

Therefore, Racheal bought 46 yeards of ribbon.

Answer:

5,418.2 feet

Step-by-step explanation:

Nadia is carrying out mountain climbing.

She started climbing the mountain at an altitude of 19.26 feet below the sea level.

Nadia changed her altitude by climbing a total of 5,437.8 feet from her starting position.

Therefore, Nadia's altitude at the end of her climb can be calculated as follows

= 5,437.8-19.6

= 5,418.2

Hence Maria's altitude at the end of her climb is 5,418.2 feet

Answer:

5,418.2 feet

Step-by-step explanation:

Answer:

18 cm²

Step-by-step explanation:

you simply take (d1 × d2) / 2

and there you have it : )

(d = diagonals)