If f(x) = 3x + 2 and g(x) = x^2– X, find each value.

A. g(36)

B. f(2) + 1

Answer:

127.39 square units

Step-by-step explanation:

We are given;

We are supposed to determine its area;

Circumference = πD or 2πr , where D is the diameter and r is the radius

Thus;

40 = 2πr

πr = 20

 r = 20/π

Area of a circle is given by;

A = πr²

but, r = 20/π

Hence;

Area = π × (20/π)²

        = π × 400/π²

         = 400/π

Taking π to be 3.14

   Area = 400 ÷ 3.14

            = 127.39 square units

Thus, the area of the circle is 127.39 square units

Answer:

-3

Step-by-step explanation:

to find the scale factor dividex^1 by x (so old shape to new shape)

Answer:

$28

Step-by-step explanation:

Since each person got $14 and we know that there are 2 people receiving money, the total amount of money is equal to the amount of money John received, added to the amount of money his best friend got. Since both received $14, we can use the following equation:

Money found = $14 + $14 = $28

Answer:

C i think..

Step-by-step explanation:

Answer:   x-4, 2x-8, 8x-32

Step-by-step explanation:

Answer:

The answer is 28.27

Answer:

You'll need 18 cups of chicken broth!

Step-by-step explanation:

You are using a ratio of 1/4 cup (lentils) to 2 cup (broth). Therefore, you need to find the relationship between lentil and broth.

Therefore, 18 cups are needed :D

To make a soup with 2 1/4 cups of dried lentils, you would need 9 cups of chicken broth.

To find the number of cups of chicken broth needed, we need to multiply the given number of cups of dried lentils (2 1/4 cups) by the ratio of chicken broth to dried lentils. The ratio is 2 cups of chicken broth per 1/4 cup of dried lentils. So, for 2 1/4 cups of dried lentils, we would need:

2 1/4 cups × (2 cups/1/4 cup) = 9 cups of chicken broth

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Answer:

Weekly allowance $4

Step-by-step explanation:

Fred ended with $11. So, subtract $9 from washing the car.

$11 - $9 = $2

$2 Is the amount of weekly allowance Fred hasn't spent yet. However, at the beginning of the week, Fred used half his allowance. This means $2 was what was left. So,

$2 × 2 = $4

meaning Fred had $4 in allowance at the beginning of the week.

Answer:

Step-by-step explanation:

30/5=6

Final answer:

Benjamin rides his scooter for a total of 6 miles over a period of 10 days, by multiplying the daily distance of 3/5 mile by 10 days.

Explanation:

To calculate the distance Benjamin rides his scooter over 10 days, we multiply the daily distance by the number of days. Benjamin rides 3/5 of a mile each day.

Distance per day = 3/5 mile
Number of days = 10 days

The total distance is:

3/5 mile/day × 10 days = 6 miles

Therefore, the correct answer is  Benjamin will have traveled a total of 6 miles over the course of 10 days.

Answer:

1) The polynomial [tex]8x^3+1[/tex] represents a sum of cubes

2) The polynomial [tex]49x^2-25[/tex] represents a difference of squares

Step-by-step explanation:

1) To find the polynomials represents a sum of cubes :

[tex]8x^3+1[/tex] represents a sum of cubes

For [tex]8x^3+1[/tex]

[tex]=2^3x^3+1^3[/tex]

[tex]=(2x)^3+1^3[/tex]

Therefore [tex]8x^3+1=(2x)^3+1^3[/tex]

Therefore [tex]8x^3+1[/tex] represents a sum of cubes

2)To find the polynomials represents a difference of squares :

[tex]49x^2-25[/tex] represents a difference of squares

For [tex]49x^2-25[/tex]

[tex]=7^2x^2-5^2[/tex]

[tex]=(7x)^2-5^2[/tex]

Therefore [tex]49x^2-25=(7x)^2-5^2[/tex]

Therefore [tex]49x^2-25[/tex] represents a difference of squares

Answer:

We are given the table as:

x    f(x)

0     6

2      7

4      0

7      5

i.e. corresponding to different values of x we are given the values of f(x)

we have to find the value of f(0)

i.e. we have to find the value of f(x) when x=0

As we can see from the table the value of f(x) at x=0 is 6

Hence, Correct option is:

C) 6

Have a Great day!

Answer:

c

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

if you take 8 and divide it by 4 you get 2 meaning that each fifth is 2 pounds. if there are 5/5 that means there are 10 pounds

Answer:

625

Step-by-step explanation:

We have to find 125% of 500

 = [tex]\frac{125}{100} * 500 = 1 .25 * 500[/tex]  = 625 .

Here the solution (625) is greater than the original (500) because the percentage value is more than 100% . so the answer will come more than its original value.

Step-by-step explanation:

9x2= 3 • 3 • x2

6x= 3 • 2 • x

12x= 2 • 2 • 3 • x

8= 2 • 2 • 2

Answer:

B) 1

Step-by-step explanation:

Answer:1

Step-by-step explanation:

Answer:

The function in the fourth option will have an axis of symmetry at x = 3.

Step-by-step explanation:

We have to choose the function from options, the graph of which has an axis of symmetry at x = 3.

The function in the fourth option will have an axis of symmetry at x = 3.

It is f(x) = x2 – 6x – 1 On a coordinate plane, a parabola opens up. It goes through (0, negative 1), has a vertex at (3, negative 10), and goes through (6, 0). (Answer)

Answer:

D

Step-by-step explanation:

Question

During one waiters shift he delivered 13 appetizers, 17 entrées, and 10 desserts what percentage of the dishes he delivered were: A. Desserts B. Appetizers  C. entrees

Answer:

A)Desserts = 25 %

B)Appetizers = 32.5 %

C)Entrées =  32.5 %

Step-by-step explanation:

Given:

Number of appetisers = 13

Number of entrees =   17

Number of  desserts = 10

Solution:

Total number  of dishes = 13 + 17 + 10 = 40

percentage of the dishes he delivered were Desserts is   =  [tex]\frac{10}{40} \times 100 = 0.25 \times 100 = 25%[/tex]

percentage of the dishes he delivered were Appetizers is  =[tex]\frac{13}{40}\times 100 = 0.325 \times 100[/tex]  = 32.5%

percentage of the dishes he delivered were Entrées is = [tex]\frac{17}{40} \times 100 = 0.425 \times 100[/tex]=  42.5 %

To find the percentage of each type of dish a waiter has delivered, add up the total number of dishes, then divide the number of each type of dish by this total and multiply by 100.

The subject question requires us to determine what the percentage is of the various types of dishes a waiter delivers during his shift. We're given that the waiter delivered 13 appetizers, 17 entrees, and 10 desserts. We can solve this by doing some basic calculations:

First, we need to figure out the total number of dishes the waiter delivered. We do this by adding together the appetizers, entrees, and desserts he delivered: 13 appetizers + 17 entrees + 10 desserts = 40 dishes in total.

Next, to find the percentage of each type of dish, we divide the number of that type of dish by the total number of dishes, and then multiply the result by 100. For example, for appetizers: (13 appetizers / 40 total dishes) * 100 = 32.5%.

You can do the same calculations for entrees and desserts to find their percentages. These basic calculations are useful not only in a restaurant setting, but also in allocation of tasks in modern businesses and in many other real-world scenarios.

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Answer:

$929.60

Step-by-step explanation:

step 1

Find the area of Lauren's bedroom

Remember that the area of a rectangle is equal to

[tex]A=LW[/tex]

so

[tex]A=(18)(12)=216\ ft^2[/tex]

step 2

Find the area of closet

Remember that the area of a rectangle is equal to

[tex]A=LW[/tex]

so

[tex]A=(2)(4)=8\ ft^2[/tex]

step 3

Find the total area

Adds the areas

[tex]216+8=224\ ft^2[/tex]

step 4

Find the cost

Multiply the total area by the cost per square feet

so

[tex]224(4.15)=\$929.60[/tex]

Final answer:

The cost to carpet Lauren's bedroom including her closet is found by calculating the total area and then multiplying by the carpet's cost per square foot. The total area is 224 square feet and with a carpet cost of $4.15 per square foot, the total cost is $930.40.

Explanation:

To calculate the cost to carpet Lauren's room and closet, we must first determine the total area that needs to be carpeted. We already know that the room measures 18 feet by 12 feet. Taking the square footage of the room, we perform a multiplication: 18 ft  imes 12 ft = 216 square feet.

Next, we calculate the area of the closet separately, which measures 2 feet by 4 feet. The calculation would be 2 ft  imes 4 ft = 8 square feet. Now, we add the area of the room and the closet to get the combined area: 216 sq ft + 8 sq ft = 224 square feet.

Lastly, we find the cost to carpet this combined area. The carpet costs $4.15 per square foot, therefore, we multiply the total area by the cost per square foot: 224 sq ft  imes $4.15/sq ft = $930.40. So, the total cost to carpet Lauren's room and closet will be $930.40.

Answer:-12+6y

Step-by-step explanation:

Since the 12 is a negative and the 6y is a positive you can switch it around.

The expression 6y - 12 is equivalent to 6(y - 2). This can be verified by expanding the factored form, which results in the original expression.

This expression  can be factored to find an equivalent expression. Factoring out the greatest common factor (GCF) from both terms, we get:

Thus, the expression 6y - 12 is equivalent to 6(y - 2).

Answer:

[tex]\left[\begin{array}{cc}0&2\\3&3\\6&4\\9&5\end{array}\right][/tex]

Step-by-step explanation:

+2 means that when c is at 0 w is at 2.

1/3c means that c moves up 3 at a time.

[tex]\frac{79}{10}[/tex], which is a complex fraction, can be written as a mixed number resulting in [tex]7\frac{9}{10}[/tex].

A mixed number is a combination of a whole number, a numerator and a denominator.

The numerator is always less than the denominator in a mixed number because it has been converted from a complex fraction to its current status as a mixed number.

Mixed numbers are complex fractions, like [tex]\frac{79}{10}[/tex].  Before the conversion, complex fractions are fractions where the numerator is greater than the denominator.

Thus [tex]\frac{79}{10}[/tex] written as a mixed number is [tex]7\frac{9}{10}[/tex].

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Answer:

Since AC is perfectly equal to BD, 4x-60=30-x. If you solve for x, x=18. Then plug 18 into BD=30-x. Therefore, BD=12.

Answer:

There will be 13 songs in the final album.

Step-by-step explanation:

i) number of songs expected = 16 songs

ii) the band wrrites 62.5% more

   therefore the band writes [tex]16 \times ( 1 + 0.625) = 16 \times 1.625 = 26[/tex] songs

iii) During the editing process 50% of the songs are removed.

   Therefore there will be in the final album = [tex]( 1 - 0.5) \times 26 = 0.5 \times 26 = 13[/tex] songs.

First, let's move combine like terms:

-5y + 8y = 6 + 2 -12.

3y = -4.

y = -4/3

Answer:

x = -3 + 2y

Step-by-step explanation:

I'm not sure if that's correct, sorry, dear~!

Answer:

The amount of a check issued for an 08/11 invoice, would depend on when the invoice is paid.  

If it's paid within 13 days, there's a 3% discount . which will be calculated as

648.50 x 3% = $19.455 discount

If it's paid within 11 - 15 days, there's a 2% discount.

648.50 x 2% = $12.97 discount

If it's paid within 16 - 30 days, there is no discount

If it's paid after 30 days, 5% APR is added to the bill

The check would be for the invoice amount of $648.50 plus a late fee of $2.67, totaling $651.17. The late fee is applied since the payment was made 3 days after the 30-day period from the invoice date and calculated using a daily rate derived from the 5% APR.

The invoice has specific payment terms: 3/10, 2/15, N30. These are discounts offered for early payment. The first part '3/10' means that the payer gets a 3% discount if they pay within 10 days. The second part '2/15' offers a 2% discount if the payer pays within 15 days. 'N30' means that the full amount due needs to be paid within 30 days from invoice date. Additionally, there is a 5% APR (annual percentage rate) charge for late payments.

The invoice was issued on 08/11, and the payment was made on 09/13, which is 33 days after the invoice date. Therefore, there aren't any discounts for the payment because it's not within the 10 or 15 days period. However, it's slightly over the 30 days, so there will be a late fee applied. The late fee is commonly calculated based on a daily rate. The daily rate is the APR divided by 365 (5%/365=0.0137%). Multiply the daily rate by the number of late days (33-30=3) and the invoice amount ($648.50).

So the late fee is 648.50*0.0137%*3=$2.67. The amount of the check would be the original invoice amount $648.50 plus late fee $2.67,  so the total is $651.17.

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Answer:

D

Step-by-step explanation:

Answer: Estimate means a close guess.

For example, when estimating with decimals, we would round them to the nearest whole number to estimate the answer.

Example: 3.6 + 1.2

1.2 is closest to 1

3.6 is closes to 4

4 + 1 = 5

A good estimate is 5

3.6 + 1.2 = 4.8

4.8 is very close to 5, so 5 is a very good estimate.

Final answer:

Estimating a math problem involves making an educated approximation of a quantity using prior knowledge and reasoning. It applies to various fields and helps to rule out unrealistic numbers, as well as develop important problem-solving skills.

Explanation:

To estimate a math problem means to find a rough approximation or a ballpark figure of the quantity in question, rather than calculating the exact number. Estimations are based on sound reasoning, prior experience, and a strong grasp of the relevant variables and physical principles. The process is not a wild guess but a calculated approximation that can be derived from formulas where the input quantities are known to a limited precision.

For example, to estimate the mean rent for a two-bedroom apartment in a town, you might calculate the average of several listed rents. Or, in physics, to estimate how large a current will be in a circuit when it is turned on, you would apply the relevant principles and any known quantities to arrive at an approximate value. The goal of estimation is to get within a reasonable range of accuracy without needing a precise computation.

The skills of estimation are vital in many fields, including physics, and they help in ruling out unrealistic results. Practicing these skills, getting familiar with units, and understanding relationships between variables all contribute to making better estimates. Moreover, after arriving at an estimate, it's important to do a sanity check to make sure the result seems reasonable within the context of what is known.

Answer:

infinite solutions

Step-by-step explanation:

6x + 18 = 2(3x + 9)

1. 6x + 18 = 6x + 18                      Distribute the 2

2. X can be any number since they are the same.