D. 4x-5

How many solutions does the following equation
have?
2(3x-1)=3(2+x)
A. No solution
B. One solution
C. Infinitely many solutions

Answer:

Step-by-step explanation:

it is b

Answer:

The second one

Step-by-step explanation:

PEMDAS

multiply comes before subtract

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

x = 11

Step-by-step explanation:

using the rule of logarithms

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

given

\(log_{3}\) (2x + 5) = 3 , then

2x + 5 = 3³ = 27 ( subtract 5 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Answer:

if f and g are functions such that f+g is continuous, at least one of f or g must be continuous.

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Step 1: Subtract 5 from both sides.

Step 2: Check if solution is correct.

Therefore, x = 5.

Answer:

Step-by-step explanation:

x+5=10           start with basic equation

-5      -5           subtract 5 from both sides

x=5              left with your answer

:)

Answer:

(48.106 ; 53.494)

Step-by-step explanation:

Given the data:

X : 52 48 49 52 53

Sample mean = ΣX / n

n = 5

Sample mean, xbar = 254 / 5 = 50.8

Standard deviation, s = 2.17 (using calculator)

The standard error (SE) : s/√n =2.17/√5 = 0.970

The degree of freedom, df = n-1

df = 5 - 1 = 4

Tscore(0.05, 4) = 2.776

Confidence interval :

Xbar ± Tscore*standard error

50.8 ± (2.776 * 0.970)

50.8 ± 2.694

Lower boundary = 50.8 - 2.694 = 48.106

Upper boundary = 50.8 + 2.694 = 53.494

(48.106 ; 53.494)

The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).

To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.

When the curve intersects the x-axis, y=0. Therefore, we have:

a⁰ = x³ - a³

x³ = a³

x = a

Next, we need to find the derivative of y with respect to x:

dy/dx = -2x/(3a²√(x³-a³))

At the point where x=a and y=0, we have:

dy/dx = -2a/(3a²√(a³-a³)) = 0

Therefore, the radius of curvature is given by:

R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)

To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:

d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))

At x=a, we have:

d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³

Therefore, the radius of curvature is:

R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)

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Answer:

2(x² + 5)

Step-by-step explanation:

To factor 2x² + 10, we can first factor out the greatest common factor of the terms, which is 2:

2x² + 10 = 2(x² + 5)

We can't factor anymore, so the answer is:

2(x² + 5)

Answer:

2(x² + 5)

Step-by-step explanation:

To factorise this, do the distributive property backwards. In other words:

2x² + 10

2x² ÷ 2 + 10 ÷ 2

x² + 5

2(x² + 5)

∴ 2(x² + 5) is the answer

Answer:I n no

Step-by-step explanation:

a ) She takes 2 minutes  = 120 seconds to serve 1 drink .

b ) The range in the amounts donated = 225

c ) The mean amount donated  = $ 83

d ) The print company donated $200 .

She serves 40 drinks  in 20 minutes

⇒ 1 drink = 40/20 = 2 minutes = 2 * 60  = 120 seconds

Therefore , she takes 2 minutes  = 120 seconds to serve 1 drink .

Range in amounts donated = highest value - lowest value

                                             = 250 - 25

                                              = 225

Mean amount donated = Total of value of obs. /No. of obs.

                                        = ( 250 + 25 + 40 + 35 + 65 ) / 5

                                        =  $83

Let the amount print company paid be x .

⇒  ( 250 + 25 + 40 + 35 + 65 + x ) / 6 = 102.50

   ( 250 + 25 + 40 + 35 + 65 + x ) = 615

 x = 200

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Answer:

I believe the answer is 3x = 2 1/4

Explanation:

Three times the length of each piece of fabric is equal to the total length

Answer:

Step-by-step explanation:

There are an infinite amount of possibilities with the solution of (4,1).  As proof, plot the point (4,1) on a coordinate system.  Then, draw straight lines that pass through that point.  These lines can differ in slopes. They can be either be positive, negative, vertical, or horizontal.

x = 4

y = 1

x + y = 5

name me brainleist and say thank you, and rate 5 stars.

Answer:

4x

Step-by-step explanation:

Answer:

A. base

Step-by-step explanation:

if this helped please press the pink "thanks" button

Answer:

so, if 10 men can do it In 30 days, that means a total of 300 "man days".

300 man days divided by 25 days would be 12- so 2 more men.

Answer:

12.56 feet cubed

Step-by-step explanation:

Diameter of 8= radius of 4

4 x 3.14=12.56

12.56x3=37.68

37.68/3=12.56

Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

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Answer:

Un buen acto o acción podría ser el donar dinero a la caridad, o contribuir con alimentos a comedores sociales. Estas serían buenas acciones porque, sin ninguna duda, ayudarían a contribuir con el bienestar de la sociedad, a través de la realización de medidas efectivas para luchar contra la pobreza, el hambre y la desigualdad de la población.

Step-by-step explanation:

B becouse nothing is to the power of 0 I think

The amount of sandwich they eat altogether is 2/3

A fraction can be defined as the part of a whole number, a whole number, a whole element.

The different types of fractions are listed as;

From the information given, we have that;

Angie ate 1 / 3 of the sandwich

Kim ate another 1 / 3 of the sandwich

To determine the total amount, we have;

1/3 + 1/3

add the values

1 + 1/3

add the values, we get;

2/3

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The complete question:

Angie and Kim are sharing a large sub sandwich. Angie ate 1 / 3 of the sandwich, and Kim ate another 1 / 3 of the sandwich. Please work out in detail.

The Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

For the Average Order's Gross Profit for the clothing eCommerce company in this scenario, we need to subtract the cost of production and shipping from the Average Order Value as;

⇒ Gross Profit = Average Order Value - Cost of production - Cost of shipping Gross Profit

⇒ Gross Profit = USD 65 - USD 35 - USD 15

⇒ Gross Profit = USD 15

Therefore, the Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

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Answer:

car x travels 62 miles an hour

Step-by-step explanation:

186 in 3 hours can also be represented by 186 divided by 3, and when this happens you would get 62 miles per hour

y=62x equation of the line that describes the relationship between distance and time​.

Speed is the time rate at which an object is moving along a path.

Given,

car x travels 186 miles

Distance=186

Time = 3 hours

We need to find the equation of  the line that describes the relationship between distance and time​

This can be achieved by Speed  formula.

Speed=Distance/time

Speed =y/x

Speed =186/3=62

62=y/x

Now apply cross multiplication

y=62x.

Hence, y=62x equation of the line that describes the relationship between distance and time​.

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When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

You just need to find what both the numerator and denominator are divisible by, which in this case is 3. Then you divide both top and bottom by 3 to get two-thirds.

\(\frac{6}{9}\) ÷\(\frac{3}{3}\)=\(\frac{2}{3}\)

Answer:

the rise over run. if a ramp has a slope of 1 the rise over one is most likely 1/1

Step-by-step explanation:

Answer:

It will take them (Matt and Chris) 0.395 hours to be 64 miles apart

It will take 5.5 hours for the boats to be 66 miles apart

Step-by-step explanation:

We are to determine the time when Matt and Chris will be 64 miles apart, that is, when the total distance traveled by both of them will be 64 miles.

Let the time be t and

Let the distance covered by Matt be S₁ and the distance covered by Chris be S₂.

For Matt,

From the question, Matt drives at a speed of 79 miles per hour

From the formula

Distance = Speed × Time

S = v × t

∴ S₁ = 79×t

S₁ = 79t

For Chris,

From the question, Chris drives at a speed of 83 miles per hour

Using the same formula,

∴ S₂ = 83 × t

S₂ = 83t

To determine when they will be 64 miles apart, that is when S₁ + S₂ = 64 miles.

Hence,

S₁ + S₂ = 79t + 83t

∴64 = 79t + 83t

64 = 162t

t = 64/162

t = 0.395 hours

Hence, it will take them 0.395 hours to be 64 miles apart.

For the boats,

To determine how many hours it will take them to be 66 miles apart, that is when the total distance traveled by the two boats will be 66 miles.

Let the time be t and

Let the distance traveled by the northbound boat be S₁ and the distance traveled by the southbound both be S₂.

From the question,

The northbound boat travels five miles per hour

From the formula

Velocity = Distance / Time

Then, Distance = Velocity × Time

That is, S = v × t

Hence, for the northbound boat,

S = S₁

v = 5 miles per hour

∴ S₁ = 5t

Also from the question,

The  southbound boat goes seven miles per hour

Hence, for the southbound boat

S = S₂

v = 7 miles per hour

∴ S₂ = 7t

To determine when the boats will be 66 miles apart, that is when S₁ + S₂ = 66 miles

Then,

S₁ + S₂ = 5t + 7t

Hence,

66 = 5t + 7t

66 = 12t

t = 66/12

t = 5.5 hours

Hence, it will take 5.5 hours for the boats to be 66 miles apart.

Answer:

-5

Step-by-step explanation: Hope this helps!! Mark me brainliest!! Have a great spring break!!!