Solve (2x-1/4)+(x/3)=2
Please provide a step by step with explanation

Step-by-step explanation:

-5/8 = v + 48/8

-53/8 = v

-6 5/8 = v

The correct answer is B. The graph of g is a vertical stretch of the graph of function f.

The given functions are:

f(x) = 6x - 2

g(x) = 0.4(6)x - 2

To determine the relationship between the graphs of functions f and g, let's analyze the coefficients in front of the variable 'x' in both functions.

In function f(x), the coefficient of 'x' is 6.

In function g(x), the coefficient of 'x' is 0.4(6), which simplifies to 2.4.

The coefficient in front of 'x' determines the slope or the rate of change of the function. In this case, since function f has a coefficient of 6 and function g has a coefficient of 2.4, we can conclude that:

The graph of function g is a vertical stretch of the graph of function f.

A vertical stretch occurs when the entire graph is scaled vertically, resulting in a change in the y-values. In this case, the vertical stretch is by a factor of 2.4, indicating that the y-values in function g are 2.4 times larger than the corresponding y-values in function f.

Therefore, the correct answer is:

B. The graph of g is a vertical stretch of the graph of function f.

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Answer:

The slope is 3 or 3/1.

Step-by-step explanation:

I figure this out by finding out the two beginning points with this: (x1, y1) , (x2, y2). The two beginning points (-3, -5) , ( -2,-2). Then from there you are counting by 3 to get to the next point. I hope this helps.

Answer: I can only solve #3 The asnwer is -1.65x

Step-by-step explanation:

Multiplying a positive and a negative equals a negative

(+)x(-)=(-)

-X x 5.5 x 0.2 x 1.5.   <---- Calculate the product

and you will get -1.65x

Answer:

0.0065509804

Step-by-step explanation:

Answer:

If you follow the order of operations it would be 0.12103072956 or approximately

0.12

0.121

0.1210

0.12103

0.121031

the first Taylor polynomial, T1(x), for f(x) = e^x based at b = 0 is T1(x) = 1.

To find the first Taylor polynomial, T1(x), for the function f(x) = e^x based at b = 0, we need to compute the derivatives of f(x) at x = 0.

The derivatives of f(x) = e^x are:

f'(x) = e^x

f''(x) = e^x

f'''(x) = e^x

...

Since the derivatives of e^x are the same as e^x itself, we can evaluate these derivatives at x = 0:

f(0) = e^0 = 1

f'(0) = e^0 = 1

f''(0) = e^0 = 1

...

The first term of the Taylor polynomial T1(x) is simply the value of f(0), which is 1.

what is derivatives?

In calculus, the derivative is a fundamental concept that measures the rate at which a function changes with respect to its independent variable. It provides information about the slope or steepness of the function at a particular point.

Formally, the derivative of a function f(x) is denoted by f'(x) or dy/dx and is defined as the limit of the difference quotient as the change in x approaches zero:

f'(x) = lim(h -> 0) [(f(x + h) - f(x)) / h]

Geometrically, the derivative represents the slope of the tangent line to the graph of the function at a given point.

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Raoult's law equation, p1 = χ1 x p°1, relates the vapor pressure of a component in a solution to its mole fraction and the vapor pressure of the pure component.

In the equation p1 = χ1 x p°1, each term has a specific meaning:

p1 represents the vapor pressure of the component in the solution. Vapor pressure is the pressure exerted by the vapor phase when a substance is in equilibrium with its liquid phase at a given temperature.

χ1 is the mole fraction of the component in the solution. Mole fraction is a way to express the relative amount of a component in a mixture, defined as the ratio of the moles of the component to the total moles in the mixture.

p°1 refers to the vapor pressure of the pure component. It is the vapor pressure of the component when it is in its pure, undiluted state at the same temperature as the solution.

Raoult's law states that for an ideal solution, the vapor pressure of a component in a solution is directly proportional to its mole fraction in the solution and the vapor pressure of the pure component.

In other words, the partial pressure of a component in the vapor phase is equal to the mole fraction of that component multiplied by its vapor pressure in the pure state. This relationship assumes ideal behavior and is applicable for solutions where the intermolecular interactions between the components are similar.

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According to the histogram, the expected mean exam score is approximately 6.5. This value is centered on the majority of scores, indicating that it is most likely the exam's average.

A histogram is a graph that shows data points arranged in user-defined ranges. By grouping a large number of data points into logical ranges or bins, the histogram, which looks like a bar graph, makes a data series easier to understand.

Histograms and bar charts both use columns to present a visual display, and the terms are frequently used interchangeably. However, technically speaking, a histogram depicts the frequency distribution of a data set's variables.

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Using system of linear equations he will require 20kg of 15% copper and 30kg of 70% copper to produce an alloy of 48% in 50kg

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables.

To solve this problem, we need to write a system of linear equations and find the equivalent amount of the metal required to make the desired amount of the alloy.

0.15x + 0.7y = 0.48(50) ..eq(i)

0.15x + 0.7y = 24 ...eq(i)

x + y = 50 ...eq(ii)

solving equation (i) and (ii)

x = 20, y = 30

He needs 20kg of 15% copper and 30kg of 70% copper to get 48% of 50kg of alloy.

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\(c+20=55\\c=55-20\\c=35\)

Answer:

21

Step-by-step explanation:

This is an arithmetic sequence with a₁ (first term) = 10.5 and d (common difference) = 11 - 10.5 = 0.5

Explicit formula for arithmetic sequences: aₙ = a₁ + (n - 1) * d

Therefore, aₙ = 10.5 + (n - 1) * 0.5 = 0.5n + 10 so a₂₂ = 0.5 * 22 + 10 = 21.

Hi there!! (✿◕‿◕)

⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

1.) 10.5

2.) 11

3.) 11.5

4.) 12

5.) 12.5

6.) 13

7.) 13.5

8.) 14

9.) 14.5

10.) 15

11.) 15.5

12.) 16

13.) 16.5

14.) 17

15.) 17.5

16.) 18

17.) 18.5

18.) 19

19.) 19.5

20.) 20

21.) 20.5

22.) 21

Hope this helped!!  ٩(◕‿◕｡)۶

Answer:

0.7 is a rational number... but 7/10

Step-by-step explanation:

Hope I helped!

Answer: This absolutely makes no sense  

Step-by-step explanation:

Answer:

A = 3/2

B = 3

C = 6

D = 12

Step-by-step explanation:

Simply plug it in. When you have a negative exponent, you basically switch the sign of the exponent and put a one over the number itself.

we have given that

Angle = 30

Then, sin 30° = opposite side / hypotenuse

=> 1/2 = AC/BC = x / 2x

& By pythagoras law, BC2 = AB2 + AC2

=> BC2 = x2 + x2 = 4x2

=> BC = 2x

Hence, ratio of the lengths of AB:AC:BC

=1: √3:2

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The values of a, b, c are 152°, 28°, 152° respectively.

Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.

The sum of angles at a point will give 360°.

This means that a + b + c + 28 = 360

c +28 = 180° ( angle on a straight line)

c = 180 -28

c = 152°

c = a( alternate angles are equal)

therefore the value of a = 152°

b = 28( alternate angles are equal)

therefore the value of b is 28

therefore the values of a, b, c are 152°, 28°, 152° respectively

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Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

Answer:

me

Step-by-step explanation:

The change in equilibrium real GDP is B220.

To calculate the change in equilibrium real GDP resulting from an increase in autonomous investment, we need to use the expenditure-output model. In this model, equilibrium real GDP (Y) is determined by the aggregate expenditure (AE), which is the sum of consumption (C), investment (I), government spending (G), and net exports (NX). The equation is:

Y = AE = C + I + G + NX

Given the information provided, let's calculate the initial equilibrium real GDP (Y) using the given values:

C = 80 + (9/10)Y

DI = 1800

G = 1600

TR = 10

T = (1/3)Y

Substituting the values into the equation:

Y = (80 + (9/10)Y) + 1800 + 1600 + 10 - (1/3)Y

Simplifying the equation:

Y = 3490 + (5/6)Y

Multiplying through by 6 to remove the fraction:

6Y = 6(3490) + 5Y

6Y = 20940 + 5Y

Y = 20940

The initial equilibrium real GDP is 20940.

Now, let's calculate the equilibrium real GDP after the B220 increase in autonomous investment (ΔI):

Y' = Y + ΔI

Substituting the values:

Y' = 20940 + B220

Calculating the change in equilibrium real GDP:

Change in Y = Y' - Y

Change in Y = (20940 + B220) - 20940

Change in Y = B220

The change in equilibrium real GDP is B220.

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Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Using the multiplication and addition operations, if Fabian leaves a 15% tip, his meal plus the tip, before tax, is $40.25.

Multiplication and addition operations are two of the four basic mathematical operations.

Multiplication involves the use of multiplicand, multiplier, multiplication operand, equal symbol, and product.

The addition operation involves using the two addends, the equal sign, and the sum.

Dinner cost before tip and tax = $35

Tip = 15%

Total cost before tax = 115% (100 + 15)

Dinner cost after tip = $40.25 ($35 x 1.15)

Thus, mathematically, Fabian will spend $40.25 for the dinner before tax.

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Answer:c

Step-by-step explanation:

The Angle Bisector Equidistant Theorem Converse (ABET Converse) states that if a point is equidistant from the sides of an angle, then it lies on the angle bisector.

To understand the ABET Converse, we first need to understand the Angle Bisector Equidistant Theorem (ABET). The ABET states that if a point lies on the angle bisector of an angle, then it is equidistant from the sides of the angle. In other words, if we draw an angle and then bisect it (i.e., draw a line that splits the angle into two equal parts), any point on that line will be equidistant from the sides of the angle. The ABET Converse simply flips this idea around. It states that if a point is equidistant from the sides of an angle, then it must lie on the angle bisector. So, if we have a point that is the same distance from both sides of an angle, then that point must lie on the line that bisects the angle.

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Answer:

C) 15^4

Step-by-step explanation:

Number of required hard drives = 15^9/15^4 = 15^8-4 = 15^4 hard drives

Answer:

I think the answer is 154 the C no. answer

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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Answer:

A, C, D

Step-by-step explanation:

30/90 reduces to 1/3

A) reduces to 1/3

B) reduces to 1/2

C) reduces to 1/3

D) 1/3

E) reduces to 1/2

F) 2/3

Hope this helps! :) happy studies!

Answer:

the answer is 26

Step-by-step explanation:

3x4=12

38-12=26

Hence according to the given pattern next number will be 1000.

A cube is a solid three-dimensional shape with six square faces, eight vertices, and twelve edges that is used in mathematics or geometry. Also said to be a conventional hexahedron. You must be familiar with the three-by-three Rubik's cube, which is the most prevalent real-world example and is useful for boosting cognitive function. Similar to this, there are several examples in everyday life, such as six-sided dice, etc. Three-dimensional structures and figures with surface areas and volumes are the focus of solid geometry.

The pattern or sequence in the provided series of numbers is known as the number pattern. The common relationship between the provided collection of numbers is revealed by the number pattern. A number pattern is a regular pattern of numbers that repeats itself.

3x3x3= 27

6x6x6= 216

7x7x7= 343

10x10x10= 1000

Hence The complete question is-

Barney likes 27 but not 25; he likes 216 but not 220; he likes 343 but not 345. Which does he like: 16, 81, 127, 1000, or 1021?

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Answer:

b) y = (1/4)x+2

Step-by-step explanation:

In slope intercept form, y = mx + b, m is the slope and b is the intercept. Plug in the provided answers to the formula and you have an equation.