Which function shows the function f(x) = 3^x being
translated 5 units to the left?
A. f(x) = 3^x – 5
B. f(x) = 3^(x+5)
C. f(x) = 3^(x - 5)
D. f(x) = 3^x + 5

Complete Question

which on these linear equations best describe the given model

The description and diagram of the model is shown on the first uploaded image

Answer:

 The linear equation is \(y = -\frac{1}{4}x + 40\)

Step-by-step explanation:

Generally a linear equation is mathematically represented as

       \(y = mx+c\)

m is the slope which   can be obtained from the graph diagram as

             \(s = \frac{30 -20}{80 -40}\)

             \(s = \frac{1}{4}\)

Now this slope is a negative slope as seen from the diagram so

        \(s =-\frac{1}{4}\)

The intercept is  40 as seen from the graph

So the linear equation is

        \(y = -\frac{1}{4}x + 40\)

Answer:

sorry i need the points

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03

That means that there was a gain of $7.03 per share for Archie.

That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:

(7.03x100)= 703

The answer then is:

Archie gained $703 from selling all of his shares.

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

950x7%=66.5

950+66.5=1016.5 with tax

not sure but here you go

Answer:

is 66.5

?/950= 7/100 7x950=6650 6650 división by 100=66.5

The biconditional statement for the given conditional statement would be:

2x = 18 if and only if x = 9.

The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".

To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.

If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.

Based on this, we can write the biconditional statement:

2x = 18 if and only if x = 9.

The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.

In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.

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Answer:

(f+g)(x) = 2x²+x-5

Explanation:

Given the functions f(x) and g(x) below:

The composition, (f+g)(x) is obtained below:

The expression for (f+g)(x) is 2x²+x-5.

Answer:

ANSWER

Step-by-step explanation:

Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.

If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).

For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.

Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.

Answer: 9

Step-by-step explanation: To divide we need to flip the second fraction we are dividing by. For example:

10/1 divided by 1/4 = 10/1 times 4/1. So in this case, the answer is 40.

Now lets try it with 1/9.

X divided by 1/9 = X times 9/1.

So dividing by 1/9 is equal to multiplying by 9.

Answer:

factors are (x-1),(x+2),(x+4),(x+3)

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

Answer:

1.5 % is same as 1.50

explanation:

because 1.5 means that the equipment used to measure the number could not measure .It's equal, 1.50 is the same thing just with an added zero.

Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

Answer:

102

Step-by-step explanation:

If he read 17 pages in one hour and spent 6 hours reading then you have to do 17 times 6 which is 102.

Answer:

913.5 quarters

Step-by-step explanation:

First I checked the work you done. Then I used a calculator to divide 174 quarters by 12 to get 14.5 quarters. Next I multiplied 14.5 quarters by 3 to get 43.5 quarters. Finally I added 870 quarters with 43.5 quarters to get 913.5 quarters.

The formula of the function, where x is entered in radians is   y = -3sin(πx/5) -6

The key components: amplitude, period, phase shift, and vertical shift.

Amplitude is the distance between the midline and max/min points. Midline at (0, -6), so distance to min point (2.5, -9) is 3. Amplitude: 3.

Vertical shift: Displacement along y-axis. Midline at y = -6, vertical shift is -6. Period: distance between max/min points. Graph intersects midline at (0, -6) and minimum point at (2.5, -9).  Period is 5 (2 * 2.5). Freq: Reciprocal of period, 1/5.

Phase shift: Horizontal shift of graph. Graph intersects midline at x=0, no phase shift.

Hence:

The general form of the sinusoidal function is y = A sin (B(x-C)) + D

So, Substituting the known values into the general formula:

y = 3 x  sin((1/5)x - 0) - 6

Hence: Simplifying it will be:

y = 3 x sin(πx/5) - 6

Then, the formula of the function, where x is entered in radians, is: y = -3sin(πx/5) - 6

Based on the image attached, the first given point is one that informs one that the function is a sine (not a cosine) function, and that it is one that has its offset as -6.

Also, the second given point is one that informs you of the first peak is at x=2.5, hence the argument of the sine function is π/2 if x=2.5: (πx/5).

Based on the fact that the peak is 3 units smaller than the midline, the amplitude is said to be -3.

Therefore the  formula for the function is  seen as:  y = -3·sin(πx/5) -6

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Option III "E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise." is a correct multiple regression equation that can be used to analyze these data. So the option III is correct.

Randomized design involving four treatments: A, B, C, and D.

So total number of treatments = 4(A, B, C, D)

So the number of dummy variable is required = 4 - 1

The number of dummy variable is required = 3

The three variables would be x₁ x₂ and x₃ and the fourth treatment scenario would be represented if all three were zero.

So the option III is correct because this is a correct multiple regression equation because it contains all the necessary components to define a linear regression model.

Specifically, it contains a dependent variable (y), a constant (B₀), and three independent variables (x₁, x₂, x₃). Additionally, each of the independent variables is either assigned a value of 1 or 0 depending on the treatment, which is how a linear regression model is typically constructed.

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The complete question is:

Consider a completely randomized design involving four treatments: A, B, C, and D. Select a correct multiple regression equation that can be used to analyze these data. Define all variables.

I. E(y) = B₀ + B₁ x₁ x₂ x₃ x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.

II. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃ + B₄x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.

III. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise.

Answer:

0.3555

Step-by-step explanation:

Answer:

y = -2/5x + 3

Step-by-step explanation:

The slope of a line parallel to another line has the same slope. So, the slope of a line parallel to the line y = -2/5x + 3 is -2/5. To write the equation of a line with slope -2/5 that is parallel to y = -2/5x + 3, you can use the point-slope form of a line: y - y1 = m(x - x1), where m is the slope, (x1, y1) is any point on the line, and m is the slope. To use this form, you can choose any point on the line y = -2/5x + 3 and plug in the coordinates for (x1, y1). For example, if you choose (0,3), the equation for the line parallel to y = -2/5x + 3 is:

y - 3 = -2/5(x - 0)

y - 3 = -2/5x

y = -2/5x + 3.

Chenelle can travel at most 160 miles without exceeding her spending limit of $300.

We have,

To determine the maximum number of miles Chenelle can travel without exceeding her spending limit of $300, we need to subtract the flat rate from her budget and divide the remaining amount by the cost per mile.

So,

Subtract the flat rate from Chenelle's budget:

Budget after subtracting the flat rate.

= $300 - $19.95

= $280.05

Divide the remaining budget by the cost per mile to find the maximum number of miles:

Maximum miles = Budget after subtracting the flat rate / Cost per mile

= $280.05 / $1.75

Using division.

Maximum miles = 160.028571

Therefore,

Chenelle can travel at most 160 miles without exceeding her spending limit of $300.

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Answer:

The exact value of the other leg is 10.

Step-by-step explanation:

Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.

Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.

Substituting known values, we get:

(10√2)^2 = 10^2 + b^2

200 = 100 + b^2

b^2 = 100

b = 10

Therefore, the exact value of the other leg is 10.

Answer:

For this problem we can use the following proportional rule:

\( \frac{73 mi}{25 gal}= \frac{x}{75 gal}\)

Where x represent the number of miles that we can travel with 75 gallons. For this case we can use this proportional rule since by definition \( D=vt\). If we solve for x we got:

\( x =75 gal (\frac{73 mi}{25 gal}) =219mi\)

And the best answer would be:

219 mi

Step-by-step explanation:

For this problem we can use the following proportional rule:

\( \frac{73 mi}{25 gal}= \frac{x}{75 gal}\)

Where x represent the number of miles that we can travel with 75 gallons. For this case we can use this proportional rule since by definition \( D=vt\). If we solve for x we got:

\( x =75 gal (\frac{73 mi}{25 gal}) =219mi\)

And the best answer would be:

219 mi

When edge D connects with edge X, this net is folded into a cube, which is obtained by folding the given figure in cube.

A cube is a solid shape with six square faces. Each side of a square  has the same side length, so all  faces are the same size.

A cube has 12 sides and 8 vertices. Each vertex refers to the angle where the three edges of the cube meet.

Shape Properties of  Cube  

Thus, when edge D connects with edge X, this net is folded into a cube.

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Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.

Part b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.

Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.

Years since 1990, x 0 5 10 15 20 25 30

Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82

The equation of the fitted curve is y = 50(1.06)^x.

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Answer:

y=-2x

Step-by-step explanation:

2=-2(-1)

2=2

Sorry for late response

The slope of the equation is 0.50 and it interprets the additional price per minute of usage.

A cafe charges an initial fee to use the computer and then an additional price per minute of usage.

An equation representing the total cost of using a computer for t minutes at the internet cafe is given by:

C = 9 + 0.50 t

Initial fee = 9 and C = total cost and t = time usage.

What is a slope of an equation?

The process of determining the rate of change of a dependent variable

when the independent variable change is called the slope of an equation.

We can find the slope by differentiating the dependent variable with respect to the independent variable.

Slope = dy / dx

Where y =  independent variable and x = dependent variable.

The given equation :

C=9+0.50t

C = dependent variable and t = independent variable.

Differentiating C with respect to t

we have,

dC / dt = d9 / dt + 0.50 dt / dt

dC / dt = 0 + 0.50.        Where  \(\frac{d}{dy} constant = 0\)

dC / dt = 0.50

Slope = 0.50

Interpretation of the slope = 0.50.

The slope = 0.50 means that the additonal price per minute of usage is 0.50.

For,

t = 1, C = 9 + 0.50 = 9.5

t = 2, C = 9 + 0.50 x 2 = 9 + 1 = 10

t = 3, C = 9 + 0.50 x 3 = 9 + 1.50 = 10.50

t = 4, C = 9 + 0.50 x 4 = 9 + 2 = 11.

10 - 9.5 = 0.50

10.50 - 10 = 0.50

11 - 10.50 = 0.50

We see that the rate of change is constant which means it is 0.50 price per minute of usage.

Thus the slope of the equation is 0.50 and it interprets the additional price per minute of usage.

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