Or Find the miing number o that the equation ha infinitely many olution. – 3x–20= – 3x

Hello,

First, you must understand that

(f-g)(x) means f(x)-g(x) it is the difference of two functions :

f(x)=2x+4 and g(x)=3x-7

f(5)=2*5+4=10+4=14

g(5)=3*5-7=15-7=8

So, (f-g)(5)= f(5)-g(5)=14-8=6

Answer A: none of the choices are correct.

An other way to do it:

(f-g)(x)=f(x)-g(x)=2x+4-(3x-7)= 2x-3x+4+7=-x+11

if x= 5 then (f-g)(5)=-5+11=6

Answer:

5 meters per minute

Step-by-step explanation:

300/60 = 5 meters per minute

Answer:

$1.89

Step-by-step explanation:

11.34/6= $1.89 for one bell pepper

There were 13 notepads, each of which cost $1.05 when the bookstore reduced the price of various notepads from $2.00 to $1.00.

Given that,

The bookstore reduced the price of various notepads from $2.00 to $1.00 while maintaining the price. The whole lot was sold. The selling of the pads generated a total profit of $29.45.

We have to find what number of notepads were sold and how much did each notepad cost.

We know that,

One approach to solving this issue is to divide $29.45 by each of the values from $1.01 to $1.99. That is the price for each notepad if one of them fits evenly with no leftovers. The number of pads is the quotient (result of division). The number has to be placed evenly because we cannot use half of the pad (leave no remainder).

Although we can check each of them, I realized that $29.45 ends in a 5 and is therefore divisible by 5, so I chose to check 1.05 as a potential price and it entered evenly. 13 is the quotient.

Therefore, There were 13 notepads, each of which cost $1.05 when the bookstore reduced the price of various notepads from $2.00 to $1.00.

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The diagram shows two reaction profiles for the decomposition of XY2, with path one representing a single-step decomposition and path two representing a two-step decomposition process.

In path one, XY2 directly decomposes into X and Y2 in a single step. This means that the decomposition reaction occurs in a single transition state without any intermediate species.

In path two, XY2 first undergoes an intermediate step where it forms an intermediate species, XY. Then, in the second step, the intermediate species XY further decomposes into X and Y. This two-step process involves two transition states.

The choice between path one and path two depends on the reaction conditions and the energy requirements for each pathway. The reaction profile diagrams provide information about the energy changes during the decomposition process.

By analyzing the reaction profiles, one can determine the activation energy required for each step and the overall energy change during the decomposition of XY2. This information is crucial for understanding the reaction kinetics and the thermodynamics of the decomposition process.

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5, 10, 15, 20, 5n, 470

You just need to multiply the value by 5.

Answer:

Number of year, when final value is $61,412.50 = 3 year

Number of year, when final value is $20,000 = 10 year (Approx.)

Step-by-step explanation:

Given:

Depreciation model

y = 100,000[0.85]ˣ

Where x = Number of year

Find:

Number of year, when final value is $61,412.50

Number of year, when final value is $20,000

Computation:

Depreciation model

y = 100,000[0.85]ˣ

61,412.50 = 100,000[0.85]ˣ

0.614125 = [0.85]ˣ

x = 3

Number of year, when final value is $61,412.50 = 3 year

Depreciation model

y = 100,000[0.85]ˣ

20,000 = 100,000[0.85]ˣ

0.2 = [0.85]ˣ

x = 10 (Approx.)

Number of year, when final value is $20,000 = 10 year (Approx.)

First let's find how many kilometers the jeep traveled, by subtracting the odometer readings:

Now, to find the miles per gallon, we just need to divide the kilometers by the amount of gallons of gasoline:

So Harry got 17.8 miles per gallon with the Jeep.

8.4 cubic feet of water weigh 5233.90 pounds or 2.62 tons.

The process of changing the value of one form to another is called conversion. It doesn't affects the value,it simply converts one form to another.

It is given that-

One cubic foot = 7.48 gallons of water,

and 1 gallon of water weighs = 8.33 pounds.

Now, since One cubic foot holds 7.48 gallons of water

Therefore,to find out 8.4 cubic feet of water weigh. Simply,

⇒  8.4 cubic feet of water  = 84 x 7.48 gallons of water

⇒  8.4 cubic feet of water  = 628.32 gallons of water

To convert it in pounds-

Since,1 gallon of water weighs 8.33 pounds of water

Therefore, 628.32 gallons of water = 628.32 x 8.33 pounds of water

⇒  628.32 gallons of water = 5233.90 pounds of water

Since, 1ton = 0.0005 tons

So,  5233.90 pounds = 5233.90 x 0.0005 tons of water

⇒  5233.90 pounds = 2.62 tons of water.

Hence,8.4 cubic feet of water weigh in 5233.90 pounds and 2.62 tons.

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Answer:

Step-by-step explanation:

3/(3+2) = 3/5

B is 3/5 of the distance from A to C.

Interpolate the coordinates of B:

Difference of x-coordinates = 6-(-4) = 10

3/5 of 10 = 6

x-coordinate of B = (x-coordinate of A) + 6 = -4 + 6 = 2

Difference of y-coordinates = 4-(-3) = 7

3/5 of 7 = 21/5

y-coordinate of B = (y-coordinate of A) + 21/5 = 6/5

B(2, 6/5)

Answer:

p = 6

Step-by-step explanation:

The slope equation is:

\(m = \frac{y \frac{}{2} - y \frac{}{1} }{x \frac{}{2} - x \frac{}{1} } \)

then to know the value of "p":

\( - \frac{1}{3} = \frac{7 - p}{p - 9} \\ - 1(p - 9) = 3(7 - p) \\ - p + 9 = 21 - 3p \\ 3p - p = 21 - 9 \\ 2p = 12 \\ p = \frac{12}{2} \\ p = 6\)

Answer:

2400

Step-by-step explanation:

60(customers/day) x40(days) = 2400 customers in 40 days

Answer:

Step-by-step explanation:

y = ½x

1.6256 Meters in 5 foot 4 inches

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There are 1.6256 Meters in 5 foot 4 inches

As a result, multiplying a measurement by 12 will convert it from feet to inches. Since it is an exact number, there will be no restrictions on utilising significant figures.

Conversion of feet to inches where both length measurement units are in the imperial system. the standard unit for centimetre length measurements. Twelve inches are equivalent to one foot.

This is also how tall I am because I'm 5'7". I would first convert the feet to inches using the closest I can remember conversion factor of 2.54 centimetres to 1 inch.

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The quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

The time taken by substance to reduce to its half of its initial concentration is called half life period.

We will use the half- life equation N(t)

N e^{(-0.693t) /t½}

Where,

N is the initial sample

t½ is the half life time period of the substance

t2 is the time in years.

N(t) is the reminder quantity after t years .

Given

N = 13g

t = 350 years

t½ = 1599 years

By substituting all the value, we get

N(t) = 13e^(0.693 × 50) / (1599)

= 13e^(- 0.368386)

= 13 × 0.691

= 8.98

Thus, we calculated that the quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

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Answer:

B 42

Step-by-step explanation:

2 pounds = 32 ounces so there is 48 ounces left, then she ate 6 ounces, 48 - 6 = 42 :)

Answer:

Liliana has 27 candies from her teacher. But her mother didn't want her to eat too much candy, so she took 11 of Liliana's candies.

Step-by-step explanation:

Hope it help, and please give me Brainlest!

Answer:

$6000

Step-by-step explanation:

Given the following :

Total planned amount to invest = 10,000 in two funds:

Fund A at rates 4.5% and

Fund B at 5% simple interest

Total Annual Interest should be = 480

What is the smallest amount you can invest in the 5% fund and still meet your objective?

Let ;

Investment in fund A = principal = a at 4.5%(0.045)

Investment in fund B = principal = (10000 - a) at 5%(0.05)

Simple interest = principal * rate * time

a + (10000 - a) = 10000

(a * 0.045) + (10000 - a) * 0.05 = 480

0.045a + 500 - 0.05a = 480

-0.005a = 480 - 500

-0.005a = - 20

a = 20 / 0.005

a = 4000

4000 at 4.5%

Investment in fund B = principal = (10000 - a)

(10,000 - 4000) = 6000

Answer:

C) 18 inches in width and 7 inches in height.

Answer:

C.

Step-by-step explanation:

hope it helps

Answer:

+3  +5   0   +3

Step-by-step explanation:

negatives are always less then 0 and above

Answer:

1. 3

2. 5

3. 0

4. 3

Step-by-step explanation:

If Amy uses 41-cent stamps and 6-cent stamps to mail a gift card to a friend worth of $1.77 , then the number of 41 cent stamp used is 3  and the number of 6 cent stamps used is  9 .

Let the number of 41 cents stamps used in postage is = x ;

let the number of 6 cents stamps used in postage is = y ;

the amount 41 cents in dollars is = $0.41  ;

and amount 6 cents in dollars is = $0.06  ;

Amy used 41-cent stamps , 6-cent stamps to pay $1.77 in postage

it is represented in equation form as  ⇒ 0.41x + 0.06y = 1.77

Multiplying on both sides by 100 , we get

⇒ 41x + 6y = 177  ;

⇒ y = (177 - 41x)/6 ;

We will test for corresponding values of x and y to satisfies this equation and the number of stamps must be whole numbers.

If x = 1 , then y = 26.66

If x = 2 , then y = 15.83

If x = 3 , then y = 9

If x = 4 , then y = 2.16 .

the only values that shows a whole number is : If x = 3 , then y = 9 .

Therefore , Amy used "3" 41-cents stamps and "9" 6-cent stamps .

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The simplified expression for (f ∘ g)(x) is 2 + x (option d).

To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.

Given:

f(x) = log₃(9x)

g(x) = \(3^x\)

Substituting g(x) into f(x):

(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)

Now, we simplify the expression:

log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)

Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:

log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x

Using the property logₓ\((x^a)\) = a * logₓ(x), we get:

log₃\((3^2)\) + x = 2 * log₃(3) + x

Since logₓ\((x^a)\) = a, where x is the base, we have:

2 * log₃(3) + x = 2 + x

Therefore, (f ∘ g)(x) simplifies to:

(f ∘ g)(x) = 2 + x

So, the correct answer is (d) 2 + x.

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Complete Question:

Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)

(a) 2x

(b) x

(c) \(27^x\)

(d) 2+x

(e) None of these.

Answer:

12

Step-by-step explanation:

y=c that make 0 and then i mulitply -1 to -12

then i did the opposite for 360 time -12 that 700 and then i devided and got 12

The resulting value for the given sum of trignometry identity is -2

Trigonometry identity are written in tems of sine, cosine and tangent

According to the trigonometry identity

sec theta = 1/costheta

cot theta = 1/tantheta

Given the trigonometry expression

sec 180 + sin 270 - tan 180 + cot 270

This can also be written as;

1/cos180 + sin270 - tan 180 + 1/tan270

= -1/cos0 + (-sin90)  - tan0 +1/tan90

= -1 - 1 - 0 +1/∞

= -1 -1 + 0
= -2

Hence the resulting value for the given sum of trignometry identity is -2

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The sample of rock if it has 15.625 grams of uranium -235 to decay will be 3.52 billion years. Then the correct option is B.

A radioactive material's half-life is the amount of time needed for half of the nucleus of an atom to decompose.

The half-life of uranium -235 is 703.8 million years.

A sample of rock started with 500 grams of uranium -235.

500 grams - 250 grams ⇒ 703.8 million years

250 grams - 125 grams ⇒ 703.8 million years

125 grams - 62.5 grams ⇒ 703.8 million years

62.5 grams - 31.25 grams ⇒ 703.8 million years

31.25 grams - 15.625 grams ⇒ 703.8 million years

Then the total number of years will be

Total years = 703.8 + 703.8 + 703.8 + 703.8 + 703.8

Total years = 3519 million years

Total years = 3.519 billion years

Total years = 3.52 billion years

The sample of rock if it has 15.625 grams of uranium -235 to decay will be 3.52 billion years.

Then the correct option is B.

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Answer:

Step-by-step explanation:

D) The student is not correct; a pair of adjacent angles must share a common vertex, share a side, and not overlap have to

We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).

We treat both positive and negative disparities equally by squaring the residual values.  We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.

We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.

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Answer:P(c) =80x+100

First of all why is thomas buying 55 jerseys and the total is $4500

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of rectangle:

Area of square:

Answer:

The length of the square is 12 inches.

Step-by-step explanation:

Area of square = Area of rectangle

Area of rectangle = Length × Breadth

⇒ 18 × 8

⇒ 144 in²

★ Area of square = Side × Side

⇒ 144 = Side²

⇒ Side = √144

⇒ Side = 12 inches

Therefore, the length of the square is 12 inches.

Answer:

i think 60 miles

Step-by-step explanation:

I just added the 100+40 then

200-140

Answer:

  1 3/7 hours

Step-by-step explanation:

The planes are closing the 200 mile separation distance at a rate of (40 +100) = 140 miles per hour. The time it takes for that distance to be closed is ...

  time = distance/speed

  time = (200 mi)/(140 mi/h) = 200/140 h = 10/7 h = 1 3/7 h

The planes will meet after 1 3/7 hours, about 1 hour 25 minutes 43 seconds.