For f(x) = 2x + 1 and g(x) = x² - 7, find (f+ g)(x).

64 decrease by twice the number then the algebraic expression be

64 - 2m.

The algebraic expression exists acquired by a finite number of the fundamental functions of algebra upon characters expressing numbers. Algebraic expressions contain at least one variable and at least one operation (addition, subtraction, multiplication, division).

From the given information, we get

Let, Matt's savings be denoted by the variable m.

Twice the number be 2m.

64 decrease by twice the digit then the algebraic expression be 64-2w.

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x = child tickets

y = adult tickets

x + y = 141

5.60x + 9.30y = 974.60

y = 141 - x

5.60x + 9.30 ( 141 - x ) = 974.60

5.60x + 1311.3 - 9.30x = 974.60

-3.70x + 1311.3 = 974.60

-3.70x = 974.60 - 1311.3

-3.70x = -336.7

x = 91

91 child tickets were sold that day

The inverse function of f(x) = 4^(x + 3) -2 is f-1(x) = log₄(x + 2) - 3

The function is given as:

f(x) = 4^(x + 3) -2

Rewrite as:

y = 4^(x + 3) -2

Swap x and y

x = 4^(y + 3) -2

Add 2 to both sides

x + 2 = 4^(y + 3) -2 + 2

This gives

x + 2 = 4^(y + 3)

Take the logarithm of both sides

log(x  + 2)= log(4)^(y + 3)

Apply the base rule of logarithm

log(x  + 2)= (y + 3)log(4)

Divide both sides by log(4)

log(x + 2)/log(4) = y + 3

Apply the change of base rule of logarithm

log₄(x + 2) = y + 3

Subtract 3 from both sides

log₄(x + 2) - 3 = y + 3 - 3

Evaluate the difference

log₄(x + 2) - 3 = y

Rewrite as:

y = log₄(x + 2) - 3

Rewrite as:

f-1(x) = log₄(x + 2) - 3

Hence, the inverse function of f(x) = 4^(x + 3) -2 is f-1(x) = log₄(x + 2) - 3

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The number of agents required in the morning shift 8:00 AM to 12:00 PM is 624.36 agents

Agent required in the morning = (32% of 473) + 473

= (32/100 × 473) + 473

= (0.32 × 473) + 473

= 151.36 + 473

= 624.36 agents

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1. The preparation of the adjusting entries as of December 31 for Arnez Company is as follows:

1. Debit Office Supplies Expenses $16,363

Credit Office Supplies $16.363

2. Debit Insurance Expenses $7,740

Credit Prepaid Insurance $7,740

3. Debit Salaries Expenses $54,000

Credit Salaries Payable $54,000

4. Debit Rent Receivable $3,400

Credit Rent Revenue $3,400

5. Debit Unearned Rent Revenue $6,160

Credit Rent Revenue $6,160

2. The preparation of the journal entries to record the first subsequent cash transactions in January of the next year for Arnez Company is as follows:

Debit Salaries Payable $54,000

Credit Cash $54,000

Debit Cash $6,800

Credit Rent Receivable $3,400

Credit Rent Revenue $3,400

1. Office Supplies Expenses $16,363 Office Supplies $16.363 ($3,850 + $15,901 - $3,388)

2. Insurance Expenses $7,740 Prepaid Insurance $7,740 ($27,744 - $20,004)

3. Salaries Expenses $54,000 Salaries Payable $54,000 ($1,800 x 15 x 2)

4. Rent Receivable $3,400 Rent Revenue $3,400

5. Unearned Rent Revenue $6,160 Rent Revenue $6,160 ($3,080 x 2)

Salaries Payable $54,000 Cash $54,000

Cash $6,800 Rent Receivable $3,400  Rent Revenue $3,400

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Answer: D.

Step-by-step explanation: First you find the common factor, which is 5x³y. Then you write in parenthesis what's left over from each term. So  the answer should look like: 5x³y(-3x⁵-4z+9).

Answer:

iTS 6 2/3 OPTION 2.

Step-by-step explanation:

Because Area = L*B

SO L = A/b

L= 65/3 * 4/13(reciprocal and multiply)

L=20/3 = 6 2/3

Answer:

So answer is 6 2/3

because Look carefully

Area =length× width

length=Area÷ width

so

[tex]21 \frac{2}{3} \div 3 \frac{1}{4} = 6 \frac{2}{3} [/tex]

Answer:

Step-by-step explanation:

let x be the price of ticket,then

120-x=3(80-x)

120-x=240-3x

3x-x=240-120

2x=120

x=120/2=60

Price of ticket=$60

Mr.Chandra has 80-60=20 $ after buying the ticket.

Using an exponential function, the median household income after 5 years was of $42,578.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

For this problem, the parameters are:

A(0) = 42050, t = 5, r = 0.0025[/tex]

Hence:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 42050(1.0025)^t[/tex]

[tex]A(5) = 42050(1.0025)^5 = 42578[/tex]

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Answer:

Step-by-step explanation:

Shift right

f(x)=√x-4.7

f(x)=√x-25

f(x)=√x-11

Shift left

f(x)=√x+0.8

f(x)=√x+6

Answer:

The answer to your question is 125

Step-by-step explanation:

x = 25 X 5= 125.

The required number is 125.

I hope this helps and have a good day!

Answer:

There are 3 lbs of candy in the box.

The caramels are $8 per pound.

12y represents the total cost of truffles in the box.

8x + 12y + 1 represents the cost of caramels in the box + the cost of truffles in the box + the cost of the box.

Step-by-step explanation:

x = the number of pounds of caramels

y = the number of pounds of truffles

x + y = total lbs. and we know x + y = 3

We know x is the number of pounds of caramels.

8x = (cost per pound of caramels) × (number of pounds of caramels)

So 8 = cost of caramels

We know y = number of pounds of truffles. So 12 is the cost of truffles by pound, and 12y is the total cost of truffles in the box.

Based on all the above,

The cost of caramels in the box + the cost of truffles in the box + the cost of the box is = total cost of the box. 8x + 12y + 1 = 30

Answer:

8,974 dollars

Step-by-step explanation:

y=2650.(1.05)^x

x=25

2650(1.05)^25 = 8974 dollars

Answer:

y = 40

Step-by-step explanation:

y/8 = 5

———————————————————

Multiply both sides by 8:

8y/8 = 5 * 8

———————————————————

Simplify:

y = 40

Hope that helps! :)

Answer:

Y = 40

Step-by-step explanation:

Step 1:

y/8 = 5

Bring 8 to the right side changing its arithmetic sign to multiply.

Step 2:

y = 5 x 8

Now multiply 5 by 8 to get the answer.

Step 3:

y = 40

Therefore, y is equal to 40.

Answer:

30624; 1514,6; a1,6.

The expression that could be used to add 3/4+1/6 is  [tex]\frac{9 + 2}{12}[/tex]

The sum expression is given as:

3/4 + 1/6

Rewrite properly as:

[tex]\frac 34 + \frac 16[/tex]

Take the LCM.

The LCM of 4 and 6 is 12.

So, we have:

[tex]\frac{9 + 2}{12}[/tex]

Hence, the expression that could be used to add 3/4+1/6 is  [tex]\frac{9 + 2}{12}[/tex]

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The type of sampling method proposed is a convenience sampling because it's a non-probability sampling method.

Convenience sampling can be defined as a type of non-probability sampling method which involves surveying and selecting representatives that are easily accessible.

The CEO could implement the second sampling method as follows:

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The events E and F are not independent

The given parameters are:

P(E n F) = 0.036

P(E|F) = 0.09

P(F|E) = 0.1

To calculate P(E), we use:

P(F|E) = P(E n F)/P(E)

This gives

P(E) = P(E n F)/P(F|E)

So, we have:

P(E) = 0.036/0.1

Evaluate

P(E) = 0.36

To calculate P(F), we use:

P(E|F) = P(E n F)/P(F)

This gives

P(F) = P(E n F)/P(E|F)

So, we have:

P(F) = 0.036/0.09

Evaluate

P(F) = 0.4

To calculate P(E U F), we use

P(E U F) = P(E) + P(F) - P(E n F)

So, we have:

P(E U F) = 0.36 + 0.4 - 0.036

Evaluate

P(E U F) = 0.724

The events E and F are independent if

P(E n F) = P(E) * P(F)

This gives

0.036 = 0.36 * 0.4

Evaluate

0.036 = 0.144 --- false

Hence, the events E and F are not independent

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66.90% of the total bankruptcy fillings are not chapter 13 fillings.

What is bankruptcy?

This is a situation where the management of a company declares that it could no longer pay its debt obligations as it does have the cash resources to do so.

In this case, the total number of bankruptcy fillings is 936,795, out of which 310,061 are chapter 13 filings

fillings that were not chapter 13=936,795-310,061

fillings that were not chapter 13=626,734

fillings that were not chapter 13 as % of total fillings=626,734/936,795

fillings that were not chapter 13 as % of total fillings=66.90%

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Answer:

1.The slope intercept- form of the function is:

y = x -2

2.The predicted length of the vine after 53 days is 51 cm.

Step-by-step explanation:

The slope is the [tex]\frac{change in length}{change in days}[/tex]  

In the table, every time that the length increased by 5, the days also increased by 5.  5/5 = 1

Now we have to find the y-intercept, we can use the slope and one of the points that we know to do this.  Let's use the first point (5,3). This is in the form (x,y).

y = mx + b

3 = (1)(5) + b

3 = 5 + b   Subtract both sides by 5

-2 = b  Now we can write the equation

y = mx + b

y = x -2.  Plug 53 in for x and you will find your second answer.

y = 53 - 2

y = 51

1. The function's slope intercept form is y = x -2.

2. The vine should be 51 cm long in length after 53 days.

Determining the Slope Intercept Form:

The slope is given as,

m = (Change in length) / (Change in days)

In the table, it can be seen that,

The days climbed by 5 for every 5 that the length did as well [10-5 = 8-3 = 5].

∴ Slope, m =5/5 = 1

We may use the slope and one of the points we are familiar with to help us find the y-intercept. Utilizing the first point (5,3), this is how it looks for the point (x, y),

y = mx + c ..... (1)

3 = (1)(5) + c

3 = 5 + c

Subtract 5 from both sides to get c.

c = -2

Hence, from (1), the slope intercept form is given as,

y = x - 2 ...... (2)

Predicting the Vine Length:

Since x represents the number of days, put x = 53 in equation (2) to predict the vine length after 53 days.

y = (53) -2

y = 51 cm

Thus, the length of vine after 53 days would be 51 cm.

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Answer: 100

Step-by-step explanation:

In other words, 12 goes in the top box and 13 goes in the bottom. The fraction slash sign is not part of either box.

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

Explanation:

Cosine is the ratio of adjacent over hypotenuse.

cos(angle) = adjacent/hypotenuse

For the reference angle X, the adjacent leg is 36 units long. It's the leg closest or touching angle X.

The hypotenuse is always the longest side. It is always opposite the 90 degree angle. The hypotenuse in this case is 39 units.

Therefore,

cos(X) = 36/39 = (12*3)/(13*3) = 12/13

According to the information, it can be inferred that Jane's question is the one that classifies as statistical because there will be variability in the answers (option A).

A statistical question is a type of question that is used to obtain information about a specific population and its trends or preferences.

In this case the statistical question is Jane's question because there will be variability in the answers, for example you will find that some people go to the garden once and others ten times a month.

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Answer:

(x - 5) ^2 + (y -2)^2 = 1

Step-by-step explanation:

This is for a circle.

We need to complete the square

(x^2 -10x      ) + ( y^2 -4y       )  = -28

(x^2 - 10x +25) + (y^2 - 4y 2y) = -28 + 25 + 4

(x-5)^2 + (y-2)^2 = 1

The center of this circle would be (5,2)  with a radius of 1.

Answer: 51.4°

Step-by-step explanation:

Use law of cosines:

(because you are trying to find angle B, you need to use Cos B)

Cos B = c² + a²-b²/ 2ca

Then, plug in your numbers:

 Cos B = 30²+64²-51²/ 2(30)(64)

Simplify:

Cos B = 0.6237

Next, to get rid of Cos B, so that we have just B, you need to do the Arccosine or 0.6237:

B = arccosine (0.6237)

Which gets you: 51.4°    

The measure of angle B is 51.41 degrees after applying the cos law of the triangle.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have given a triangle in the figure:

To find the measure of the angle B

We can apply cos law:

c² = a² + b² - 2ab cosB

The a, b, and c represents the side lengths of the triangle and the measures are:

a = 30

b = 64

c = 51

51² = 30² + 64² - 2(30)(64) cosB

3840CosB = 4996 - 2601

3840CosB = 2395

CosB = 2395/3840

CosB = 0.623

B = Cos⁻¹(0.623)

B = 51.41 degrees

Thus, the measure of angle B is 51.41 degrees after applying the cos law of the triangle.

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Answer:

144 boxes, 4 popsicles left over

Step-by-step explanation:

# of boxes and the remainder: 1148/8 = 143 boxes 4 popsicles left over

Since they need to buy full boxes we add 1 to 143 = 144 boxes

A full box is 8 and they only need 4 more so they have 4 left over.

The current yield of the bond is 9.27%.

What is current yield?

Current yield is the bond rate of return computed as the annual coupon divided by the current price of the bond

The annual coupon is the coupon rate of 10% multiplied by the bond's par value of 100

annual coupon=10%*100

annual coupon=10

current bond price=107.87

current yield=annual coupon/current bond price

current yield=10/107.87

current yield=9.27%

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Answer:

hundred million is the place value of 4 in 483800000