Can someone help, marking Brainly ! Thank you if you do help .

Answer:

Step-by-step explanation:

Given function:

Find its inverse, take f(x) as y and swap x with y

Replace y with f⁻¹(x):

Correct choice is B

A x is equal to the quantity x plus 3 end quantity over the quantity x minus 4 end quantity where x ­ 4. at x = 0.5, the inverse function f²(-1)(x)  f²(-1)(x) = 0.5

To determine the inverse of the function f(x) = (x + 3) / (x - 4),  to follow these steps:

Replace f(x) with -1, since you're looking for the inverse at the point where f(x) = -1:

-1 = (x + 3) / (x - 4)

Solve for x in terms of -1:

Multiply both sides by (x - 4):

-1 ×(x - 4) = x + 3

Distribute the -1:

-x + 4 = x + 3

Solve for x:

Subtract x from both sides:

4 = 2x + 3

Subtract 3 from both sides:

1 = 2x

Divide by 2:

x = 0.5

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Answer:

  (x, y) = (17, 10)

Step-by-step explanation:

You want the values of x and y given three angles written in terms of x and y at a transversal crossing parallel lines.

Angles at lower right of the points of intersection are corresponding angles, and are congruent:

  (9x -16)° = (8x +1)°

  x = 17 . . . . . . . . . . . . . divide by °, add 16-8x

The marked angles at the bottom form a linear pair, so are supplementary.

  (4y +3)° = 180° -(9x -16)°

  4y +3 = 180 -9(17) +16 = 43 . . . . . . use 17 for x and simplify

  4y = 40 . . . . . . subtract 3

  y = 10 . . . . . . divide by 4

If we both worked together then task will complete in 1/2 hour.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

You can complete one-tenth of a task in an hour.

Your friend can complete two-fifths if the same task in an hour.

So, if we worked together

= 1/10 + 2/5

= (5+ 20)/ ( 10x 5)

= 25/ 50

= 1/2

Hence, if we both worked together then task will complete in 1/2 hour.

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In 6 2/5 hours me and my friend together finish complete the task.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, I can complete one-tenth of a task in an hour.

∴ I can complete the task in 10 hours.

My friend can complete two-fifth of the task in an hour.

∴ My friend can complete the task in 2 and half hours.

So, (1/10) + (1/5/2) is the reciprocal of time together we can finish.

(1/10) + (2/5).

= (1 + 5/)10.

= 6/10.

Or 10/6 which is 6 2/5 hours.

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Answer:

2nd

Step-by-step explanation:

The blocks from the bottom up are: 123. Each column has one 1 one 2 and one 3. So only 2 can be the right answer.

I'm not that familiar with these problems, check my answer just in case.

Answer:

Step-by-step explanation:

Delilah needs to buy 8 reams of paper which cost $5.89 each, $5.89 x 8 = $47.12

Delilah needs to buy 6 cartridges of ink which cost $38.40 each, $38.40 x 6 = $230.4

We then add $230.4 and $47.12

$230.4 + $47.12 = $277.52.

Delilah needs to bring $277.52 to cover the cost of her supplies.

Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours

This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.

Let's assume that Sarah worked x hours.

Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.

Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.

Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.

The total number of shirts ironed by both Sarah and Penelope is 475 shirts.

So, we can write the equation: 30x + (35/2)x = 475.

To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.

Now, we can solve for x: x = (475 * 2) / 95 = 10.

Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.

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Answer:

3 of each gallon

Step-by-step explanation:

It worked for me on ttm

Answer:

4 of 1/3 and 1 of 1/6

Step-by-step explanation:

5/6+2/3=9/6

9/6+4/3=17/6

17/6+1/6=18/6

18/6=3

Answer:

42.25485 or 42.25

Btw is this your homework or a test.

9514 1404 393

Answer:

Step-by-step explanation:

At $12 per gigabyte, the data charge will be 12g where g is the number of gigabytes. Then the total charge is ...

  C = 12g +20

__

If C = 116, the value of g is found from ...

  116 = 12g +20

  96 = 12g . . . . . . . subtract 20

  8 = g . . . . . . . . . . divide by 12

The amount of data used is 8 gigabytes if the charge is $116.

The selling price of the item at 10% marlkup is $55

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Selling price = Cost To Store * (1 + Markup)

substitute the known values in the above equation, so, we have the following representation

Selling price = 50 * (1 + 10%)

Evaluate

Selling price = 55

Hence the selling price of the item is $55

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The binomial theorem states that: \((x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k\). So, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]

Term k = 0: \( {5 \choose 0} (2x)^5 (-3y)^0\) = 32x⁵

Term k = 1: \({5 \choose 1} (2x)^4 (-3y)^1\) = -240x⁴y

Term k = 2: \({5 \choose 2} (2x)^3 (-3y)^2\) = 720x³y²

Term k = 3: \({5 \choose 3} (2x)^2 (-3y)^3\) = -1080x²y³

Term k = 4: \({5 \choose 4} (2x)^1 (-3y)^4\) = 810xy⁴

Term k = 5: \({5 \choose 5} (2x)^0 (-3y)^5\) = -243y⁵

Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:\((2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\)

Therefore, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

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Let's assume David's average speed is S km/h.

A) To find David's average speed, we can use the formula: Speed = Distance / Time.

David completed the race in 5 hours, so his speed is S km/h. Therefore, we have:

S = Distance / 5

B) Ken's average speed is 9.8 km/h less than David's average speed, which means Ken's average speed is (S - 9.8) km/h.

Ken took 7 hours to complete the race, so we have:

S - 9.8 = Distance / 7

Now, we can solve the system of equations to find the values of S and Distance.

From equation (1): S = Distance / 5

Substitute this into equation (2):

Distance / 5 - 9.8 = Distance / 7

Multiply both sides of the equation by 35 to eliminate the denominators:

7 * Distance - 35 * 9.8 = 5 * Distance

7 * Distance - 343 = 5 * Distance

Subtract 5 * Distance from both sides:

2 * Distance - 343 = 0

Add 343 to both sides:

2 * Distance = 343

Divide both sides by 2:

Distance = 343 / 2 = 171.5 km

Therefore, the distance of the cycling race is 171.5 kilometers.

To find David's average speed, substitute the distance into equation (1):

S = Distance / 5 = 171.5 / 5 = 34.3 km/h

So, David's average speed was 34.3 km/h.\(\)

Answer:

A) 34.3 km/h

B) 171.5 km

Step-by-step explanation:

Since Ken's average speed is said to be 9.8km/h less than David's average speed, and we know that Ken's average speed is dependent on him traveling for 7 hours, then we have our equation to get the distance of the cycling race:

\(\text{Ken's Avg. Speed}=\text{David's Avg. Speed}\,-\,9.8\\\\\frac{\text{Distance}}{7}=\frac{\text{Distance}}{5}-9.8\\\\\frac{5(\text{Distance})}{7}=\text{Distance}-49\\\\5(\text{Distance})=7(\text{Distance})-343\\\\-2(\text{Distance})=-343\\\\\text{Distance}=171.5\text{ km}\)

This distance for the cycling race can now be used to determine David's average speed:

\(\text{David's Avg. Speed}=\frac{\text{Distance}}{5}=\frac{171.5}{5}=34.3\text{ km/h}\)

Therefore, David's average speed was 34.3 km/h and the distance of the cycling race was 171.5 km.

Answer:

2(6)(4)

Step-by-step explanation:

The commutative law of multiplication states that the order of the numbers does not affect the answer. To rewrite 2(4)(6) using the commutative law of multiplication, rearrange the order of the numbers.

Step-by-step explanation:

No, having only the y intercept gives us the c value in the quadratic equation.

The answer is :

Step-by-step explanation:

To write the equation of a parabola, you need the equation \(\bf{y=ax^2+bx+c}\). You need to know the values of a, b, and c in order to write the equation. So knowing only the y-intercept (0, 5) will not suffice. He knows where the parabola intersects the y-axis yet he isn't aware of the appearance of the parabola and how to draw it.

Answer:

\(volume = 927,587.2ft^3\)

Step-by-step explanation:

The equation to find the volume of a sphere is as follows:

\(volume = \frac{4}{3}\pi r^3\)

We have a radius of 60.5ft, let's plug this into the equation and solve:

\(volume = \frac{4}{3} \pi (60.5)^3 \\volume = 927,587.17\\volume = 927,587.2\)

Therefore, the volume of a sphere with a radius of 60.5ft is 927,587.2ft^3.

Hope this helps!!

- Kay :)

Volume of the sphere is 927587.2 cubic feet (nearest tenth).

"A sphere is a set of points in space that are a given distance r from the center. The volume of a 3 -dimensional solid is the amount of space it occupies."

Formula to find the volume of a sphere

Volume of the sphere = \(\frac{4}{3} \pi r^{3}\)

V = \(\frac{4}{3} \pi (60.5)^{3}\)

V = 927,587.167

Using calculator, we get

V ≅ 927587.2 cubic feet

Hence, Volume of the sphere is 927587.2 cubic feet (nearest tenth).

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Answer:The reciprocal of 2/3 is 3/2. The product of 2/3 and its reciprocal 3/2 is 1.

Step-by-step explanation:

The original number is represented by x So, the result is the multiplier of 2.

Quotients are the number that is obtained by dividing one number by another number.

Dividend ÷ Divisor = Quotients

It is given that Multiply the number 4. Add 6 to the product. Divide this sum by 2. Subtract 3 from the quotient.

Let x = original number

(4x + 6)/2 - 2

= (4x /2 + 6/2) - 2

= 2x + 3 -2

= 2x+1

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The complete question is;

Write a conjecture that relates the result of the process to the original number selected. Represent the original number as x. What is the result?

Answer:

12.9x - 9

your welcome

Answer:

a) \(t = 1\,s\), \(\dot A \approx 22619.467\,\frac{cm^{2}}{s}\), b) \(t = 3\,s\), \(\dot A \approx 67858.401\,\frac{cm^{2}}{s}\), c) \(t = 5\,s\), \(\dot A \approx 113097.336\,\frac{cm^{2}}{s}\). The rate at which the area within the circle is increasing linearly inasmuch as time passes by.

Step-by-step explanation:

The area of a circle is described by the following formula:

\(A = \pi \cdot r^{2}\)

Where:

\(A\) - Area, measured in square centimeters.

\(r\) - Radius, measured in centimeters.

Since circular ripple is travelling outward at constant speed, radius can be described by the following equation of motion:

\(r (t) = \dot r \cdot t\)

Where:

\(\dot r\) - Speed of the circular ripple, measured in centimeters per second.

\(t\) - Time, measured in seconds.

The rate of change of the circle is determined by deriving the equation of area and replacing radius with the function in terms of the speed of the circular ripple and time. That is to say:

\(\dot A = 2\cdot \pi \cdot r \cdot \dot r\)

\(\dot A = 2 \cdot \pi \cdot \dot r^{2}\cdot t\)

Where:

\(\dot A\) - Rate of change of the circular area, measured in square centimeters per second.

\(\dot r\) - Speed of the circular ripple, measured in centimeters per second.

\(t\) - Time, measured in seconds.

If \(\dot r = 60\,\frac{cm}{s}\), then:

a) \(t = 1\,s\)

\(\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (1\,s)\)

\(\dot A \approx 22619.467\,\frac{cm^{2}}{s}\)

b) \(t = 3\,s\)

\(\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (3\,s)\)

\(\dot A \approx 67858.401\,\frac{cm^{2}}{s}\)

c) \(t = 5\,s\)

\(\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (5\,s)\)

\(\dot A \approx 113097.336\,\frac{cm^{2}}{s}\)

The rate at which the area within the circle is increasing linearly inasmuch as time passes by.

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Answer:

Step-by-step explanation:

Slope of the line:

\(m = \frac{y-y1}{x-x1} \\\)

Given:

slope = -3/4

point (x1,y1) = (2, -1)

Substitute and solve

\(m = \frac{y-y1}{x-x1} \\-\frac{3}{4} = \frac{y-(-1))}{x-2} \\-3(x-2) = 4(y+1)\\-3x + 6 = 4y + 4 \\Transpose\\4y = -3x + 6 - 4\\4y = -3x + 2 \\y = -3/4x + 2/4\\y = -3/4x + 1/2\\OR\\4y +3x - 2 = 0\)

1/2 is the y-intercept

(0,1/2)

Since we have 2 points already, we can then graph the line.

(2, -1) and (0, 1/2)

The solutions for the given equation are x=−1,1,√2,−√2. Therefore, option B is the correct answer.

The given equation is x⁸-4x⁷+3x⁶+8x⁵-15x⁴+4x³+9x²-8x+2=0.

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Here, (x⁸-4x⁷+8x⁵+4x³)+3x⁶-15x⁴+9x²+2=0

(x-1)⁵(x³+x²-2x-2)=0

(x-1)⁵(x²-2)(x-1)=0

(x-1)⁵=0, (x²-2)=0 and (x-1)=0

x=±1 x=±√2 and x-1

Exact Form: x=−1,1,√2,−√2

Therefore, option B is the correct answer.

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Answer:

-5+√2 and -5-√2

Step-by-step explanation:

With the quadratic formula:

\(\displaystyle x^2 + 10x + 25 = 2\\\\x^2+10x+23=0\\\\x=\frac{-10\pm\sqrt{10^2-4(1)(23)}}{2(1)}=\frac{-10\pm\sqrt{100-92}}{2}=\frac{-10\pm\sqrt{8}}{2}=\frac{-10\pm2\sqrt{2}}{2}=-5\pm\sqrt{2}\)

We can also complete the square (which is faster):

\(x^2+10x+25=2\\(x+5)^2=2\\x+5=\pm\sqrt{2}\\x=-5\pm\sqrt{2}\)

Answer:

Please help me important question in image

Step-by-step explanation:Please help me important question in image

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Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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Answer:

Step-by-step explanation:

The system of equations with no solution is:

y + 3x = -7

4z - 2y = 10

The system of equations with exactly one solution is:

y = 6z+8

y = 6x-4

y = 3x + 2

2z-y = 5

y=-2z+8

The system of equations with infinitely many solutions is:

4z + y = 8

The completed equation is 6/9 = 4/8.

To find an equivalent fraction for 6/8, we need to determine the value of p that satisfies the equation (6/p) = (4/8).

By looking at the given information, we see that the circle representing 6/12 is shaded in 6 equal parts, while the circle representing 4/8 is shaded in 4 equal parts.

To make both circles equivalent, we need to find a common denominator.

In this case, the common denominator is 12 since both fractions have denominators that can be multiplied by 2 to reach 12.

Therefore, we can divide the circle representing 6/12 into 12 equal parts.

Now, since the shaded circle with 4 equal parts represents 4/8, we need to find the corresponding number of shaded parts in the circle divided into 12 equal parts.

Since 8 is three-fourths (3/4) of 12, we shade three-fourths of the circle, which amounts to 9 out of the 12 parts.

To summarize, the shaded circle with 6 out of 12 equal parts represents 6/12, and the shaded circle with 9 out of 12 equal parts represents 9/12. Therefore, p in the equation (6/p) = (4/8) is equal to 9.

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Answer:

positive real

Step-by-step explanation:

Answer:

You can add 45 grams of water to 15 grams of sugar to make a 25% sugar solution.

Step-by-step explanation:

To make a 25% sugar solution, you need to add a certain amount of water to 15 grams of sugar. To determine this amount, you can use the following formula:

(desired concentration / 100) x total volume = amount of solute (in this case sugar)

We know that the desired concentration is 25%, and the amount of solute is 15 grams. To find the total volume, we can use the following formula:

amount of solute / desired concentration = total volume

15 grams / 0.25 = 60 grams

So the total volume of the solution is 60 grams, and the amount of water you need to add to make a 25% sugar solution using 15 grams of sugar is 45 grams.

You can add 45 grams of water to 15 grams of sugar to make a 25% sugar solution.

Another way to think of it is to add 3 times the amount of water as the amount of sugar, since 25% of 60g is 15g

Therefore, the painting should be placed 5/4 feet on each side of the wall.

In the given problem, a 5-foot wide painting should be centered on a 15-foot wide wall. We can determine the length of each side of the painting by subtracting x from each side of the wall.

Therefore, the left side of the equation can be written as:

\(15 - x - 5 - x\)

The physical situation given is that the painting is to be centered on the wall. This means that each side of the wall will have the same amount of space as the painting.

Therefore, the length of each side of the painting can be determined by subtracting x from each side of the wall. The total width of the wall is 15 feet, and the painting is 5 feet wide.

Therefore, the total length of the space on each side of the painting is 5 + x.To find the value of x, we can equate the length of each side of the painting. Therefore, the equation can be written as:

\(15 -x - 5 - x = 5 + x + x\)

Simplifying the equation, we get:

\(10 - 2x = 2x + 5\)

Solving for x, we get:

\(4x = 5x = \frac{5}{4}\)

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Answer: 48 more monthly payments

Step-by-step explanation: