Which function has a greater y-intercept?

f(x)=x^2-2x+12

Choose 1 answer:

(Choice A)

F has a greater y-intercept than G.

(Choice B)

G has a greater y-intercept than F.

(Choice C)

F and G share the same y-intercept.

Answer:

32,8+3,27=36,07

36,07-0,15=35.92

Step-by-step explanation:

Given that 22+2 de 23+3.2-92-27We begin by factoring the denominator of the rational function: 23+32-92-27-(2-a)(0-1) for ab.

We can write the given function as:2 + 2/(x - 2) + 3/(x + 3) - 9/(x - 9) - 27/(x + 27)To find the values of A, B, and C, we need to take the common denominator which is (x - 2)(x + 3)(x - 9)(x + 27)A

= 2(x + 3)(x - 9)(x + 27) + 2(x - 2)(x - 9)(x + 27)

= 50x³ + 5350x² + 41325x + 52590B

= 3(x - 2)(x - 9)(x + 27) - 9(x + 3)(x - 2)(x + 27)

= - 44x³ - 2919x² - 405x - 972C

= (x - 2)(x + 3)(x - 9) + 3(x - 2)(x + 27) - 9(x - 9)(x + 27)

= - 6x³ - 27x² + 1107x + 972.

The partial fraction decomposition is given as:2 + 2/(x - 2) + 3/(x + 3) - 9/(x - 9) - 27/(x + 27) = (25/35)/(x - 2) + (-11/6)/(x + 3) + (11/38)/(x - 9) + (- 1/2)/(x + 27) Now, we can integrate it as follows: ∫(25/35)/(x - 2)dx + ∫(-11/6)/(x + 3)dx + ∫(11/38)/(x - 9)dx + ∫(-1/2)/(x + 27)dx= 25/35 ln│x - 2│ - 11/6 ln│x + 3│ + 11/38 ln│x - 9│ - 1/2 ln│x + 27│ + c

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Answer:

Without additional context or information, it's difficult to determine the missing side length with certainty. However, we can use some logical reasoning to make an educated guess.

One possible way to approach this problem is to look for relationships between the known side lengths and the missing side length. For example, we can look at the lengths of the sides that are adjacent to the missing side and see if there are any patterns or ratios that might help us determine the length of the missing side.

In this case, we can see that the missing side is adjacent to sides with lengths of 8 and 9, which have a difference of 1. If we assume that the sides of the figure form a regular pattern or sequence, then we might guess that the missing side has a length that is 1 greater than 9, which would give us a length of 10 for the missing side.

However, this is just a guess based on the limited information provided, and there could be other possible solutions depending on the specific properties or context of the figure.

The value of x that produces the minimum average cost per unit C is approximately x = -87.25.

The given equation is C = \(2x^2\) + 349x + 9800. To find the number of units x that produces the minimum average cost per unit C, we need to find the minimum value of C and then determine the value of x at which this minimum occurs.

We note that C is a quadratic function of x and, since the coefficient of \(2x^2\)  is positive, this function is a parabola that opens upward. Thus, the minimum value of C occurs at the vertex of the parabola.

To find the vertex of the parabola, we use the formula for the x-coordinate of the vertex, which is given: by:

\($$x_{\text{vertex}}=-\frac{b}{2a}$$\) where a = 2 and b = 349 are the coefficients of \(2x^2\)  and x, respectively.

Substituting these values into the formula gives:

\($$x_{\text{vertex}}=-\frac{349}{2(2)}=-\frac{349}{4}=-87.25$$\)

Therefore, the value of x that produces the minimum average cost per unit C is approximately x = -87.25.

However, it is not meaningful to have a negative number of units, so we need to consider the value of x that produces the minimum cost per unit for positive values of x.

To find the minimum value of C for positive values of x, we substitute x = 0 into the equation to get: \(C = 2(0)^2 + 349(0) + 9800 = 9800\)

Therefore, the minimum average cost per unit occurs when x = 0, which means that the number of units that produces the minimum average cost per unit is zero.

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Answer:

Set D is not a function because there are two 2's in the X column

The answer is: The length of arc eg is approximately 2.17 units (rounded to the nearest hundredth). To find the length of arc eg, we need to use the formula:

Length of arc = (m∠efg/360) x 2πr
Where r is the radius of the circle.
From the given information, we know that m∠efg = 78 and ef = 4 units. To find the radius of the circle, we can use the Pythagorean theorem:
eg^2 = ef^2 + fg^2
eg^2 = 4^2 + fg^2
fg^2 = eg^2 - 16
Since feg is an isosceles triangle (fe = fg), we can divide fg by 2 to get the value of the radius:
r = fg/2
r = √(eg^2 - 16)/2
Now we can substitute the values of m∠efg and r into the formula for the length of arc:
Length of arc eg = (78/360) x 2π x √(eg^2 - 16)/2
Length of arc eg = 0.2167 x √(eg^2 - 16)
To round to the nearest hundredth, we can use a calculator to evaluate the expression for different values of eg until we get a result that is close to the nearest hundredth. After a few calculations, we find that the length of arc eg is approximately 2.17 units (rounded to the nearest hundredth).
Therefore, the answer is: The length of arc eg is approximately 2.17 units (rounded to the nearest hundredth).

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Answer:

Step-by-step explanation:

2A. 3x=6 ⇒ x=2

2B. 3n=2(n-3) ⇒ 3n=2n-6 ⇒ n= -6

1. cross multiplication method

Answer:

The answer is (A) 75

Step-by-step explanation:

Answer:

A 75

Step-by-step explanation:

10*5(number of ducks that lay an egg everyday)

5*5(number of ducks that lay an egg every second day)

10*5 + 5*5

We will see that the percentage in which the price decreases is 90%, thus the age is 90 years.

How old is Andrés?

We know that the percentage in which the price decreases is equal to the age of Andrés.

We can write:

P = $4,000 = $40,000*(1 - k)

Where k is the percentage in decimal form.

Solving for k:

k = ($40,000 - $4,000)/$40,000 = 0.9

To obtain the percentage, we multiply by 100%.

0.9*100% = 90%

We conclude that Andrés is 90 years old.

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Answer:

C

Step-by-step explanation:

The equation of a horizontal line is y = c

where c is the value of the y- coordinates the line passes through

The line passes through (- \(\frac{1}{3}\) , 4 ) with y- coordinate 4 , then

y = 4 ← equation of horizontal line

Given equations are

y = 9x² → (1)

y = 4 → (2)

Substitute y = 9x² into (2)

9x² = 4 ( divide both sides by 9 )

x² = \(\frac{4}{9}\) → C

Answer:

Step-by-step explanation:

See image

The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The volume of the empty space inside Container A is given as follows:

703.4 ft³.

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h.

For Container A, the dimensions are given as follows:

r = 8 feet, h = 8 feet.

(radius is half the diameter)

Hence the volume is given as follows:

V = 3.14 x 8² x 8

V = 1607.7 ft³.

For Container B, the dimensions are given as follows:

r = 4 feet, h = 18 feet.

Hence the volume is given as follows:

V = 3.14 x 4² x 18

V = 904.3 ft³.

Then the volume of the empty space is given as follows:

1607.7 - 904.3 = 703.4 ft³.

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Answer:

4x^2-13x+4

Step-by-step explanation:

(x^2-5x+6)+(3x^2-8x-2)

Combine like terms

x^2+3x^2-5x-8x+6-2

4x^2-13x+4

Answer:

C I think

Step-by-step explanation:

Hehehehehehe

Answer:

its D

Step-by-step explanation:

The current price of the clarinet and the various discounts and markups illustrate that the amount the store paid was $90.

First find out the selling price of the clarinet:

= Discounted price / ( 1 - discount rate)

= 93.60 / ( 1 - 20%)

= $117

This selling price is 30% more than what the store paid so the price the store paid was:

= Selling price / ( 1 + rate of increase)

= 117 / ( 1 + 30%)

= $90

In conclusion, the amount the store paid was $90.

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Complete question

A music store buys instruments and then sells them for 30% more than they paid. During a 20% off sale, the store offers a clarinet for $93.60.

How much did the store pay for the clarinet?

From these data, it is difficult to draw any meaningful conclusions about which waiters and waitresses earn larger tips.

The data only measure the percentage of the total bill left as a tip for one randomly selected waiter and one randomly selected waitress from each of the 50 restaurants during a 1-week period, which does not provide a large enough sample size to draw any meaningful conclusions. In order to draw more reliable conclusions, a larger, more comprehensive study should be conducted that measures the tips for multiple waiters and waitresses from each restaurant over a longer period of time.

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The results of the expressions involving logarithms are listed below:

Case 1: 1 / 2

Case 2:

Subcase a: 0

Subcase b: 11 / 2

Subcase c: - 11 / 2

In this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:

㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c

㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c

㏒ₐ cᵇ = b · ㏒ₐ c

Now we proceed to determine the result of each case:

Case 1

㏒ ∛8 / ㏒ 4

(1 / 3) · ㏒ 8 / ㏒ 2²

(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)

㏒ 2 / (2 · ㏒ 2)

1 / 2

Case 2:

Subcase a

㏒ [b / (100 · a · c)]

㏒ b - ㏒ (100 · a · c)

㏒ b - ㏒ 100 - ㏒ a - ㏒ c

3 - 2 - 2 + 1

0

Subcase b

㏒√[(a³ · b) / c²]

(1 / 2) · ㏒ [(a³ · b) / c²]

(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²

(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · 2 + (1 / 2) · 3 + 1

3 + 3 / 2 + 1

11 / 2

Subcase c

㏒ [(2 · a · √b) / (5 · c)]⁻¹

- ㏒ [(2 · a · √b) / (5 · c)]

- ㏒ (2 · a · √b) + ㏒ (5 · c)

- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c

- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- 1 - 2 - (1 / 2) · 3 - 1

- 4 - 3 / 2

- 11 / 2

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Answer:

Step-by-step explanation:

Givens

pi = 3.14

d = 10 cm

h = 2*d

Formula

The combined formula is given below.

SA = 2*pi*r^2  +  2*pi*r * h

Conversions

d = 10 cm

h = 2*10

h = 20 cm

r = d/2

r = 10 / 2

r = 5cm

Solution

SA = 2*pi*r^2  +  2*pi*r * h

SA = 2*3.14*5^2 + 2*3.14*5*20

SA = 157 + 628

SA = 785 cm^2

Answer: The surface area is 785 cm^2

Answer:

the surface area is 250 Pi square centimeters

Answer:

Step-by-step explanation:

7 1+1

8 2+2

9 4+4

10 1+1+2+2+4+4=69

Answer:

10 ≤ x - 4

Step-by-step explanation:

Answer:

10 < x-4

Step-by-step explanation:

As a result, the answer to the given function problem is f(x) = -4.5199 * (1.5546)x.

A wide range of topics are covered in the mathematics lesson, including math, numbers & their subsets, expressions, building, architecture, and both actual and hypothetical geographic places. A work covers the connections between many elements that all work together to produce the same result. A utility is made up of multiple distinctive components that cooperate to create distinctive results for each input.

Here,

The table shows that: f(x) = -2.999 when x = -3.

=> If x is 2, then f(x) is equal to -2.99.

=> F(x) equals -2.9 at x = 1.

=> F(x) = 7 if x = 1, otherwise.

=> For x = 3, F(x) = 97.

=> x equals 5 if f(x) = 997.

As f(x) is an exponential function, we can write.

=> f(x) = a + bˣ

Using the given values for x and f(x), we get:

=> -2.999 = a * b⁻³

=> -2.99 = a * b⁻²

=> -2.9 = a * b⁻¹

=> 7 = a * b¹

=> 97 = a * b³

=> 997 = a * b⁵

The values of a and b can be determined using any two sets of the aforementioned equations. For example, when we divide the fourth equation by the third equation, we get:

=> 7 / (-2.9) = (a * b^(1)) / (a * b⁻¹)

=> -2.4138 = b²

=> b ≈ -1.5546 or b ≈ 1.5546

By substituting b = 1.5546 in the third equation, we get the following results:

=> -2.9 = a * (1.5546)⁻¹

=> a ≈ -4.5199

Thus, the following is the exponential function's generic form:

=> f(x) = -4.5199 * (1.5546)ˣ

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The complete question is: What is the equation of the linear function that corresponds to the data given in Item 5?

Answer:

A

Step-by-step explanation:

an=a1+(n-1)d

A(10)=15+(n-1)-2

Following statements are true about the situation represented by the functions:

Graphical visual representation of information is a key factor in understanding and recognizing patterns and trends in the ever-increasing flow of data. Graphical representations allow rapid analysis of large amounts of data at once, helping to make predictions and informed decisions.

Now, for the given statements in the question:

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a) Find the work done when 1 kg of steam is formed at that temperature.

\(\bf{W=p(V_{2}-V_{1})=166781 \ J }\)

\(\boxed{\bf{W=166781 \ J}}\)

b) Calculate the increase in internal energy.

\(\Delta U=Q-W\\Q=mL_{f}=2,2\cdot10^{6} \ J\\\Delta U=2,033\cdot10^{6} \ J\\\boxed{\Delta U=2,033\cdot10^{6} \ J}\)

Step-by-step explanation:

A

it is an exponential function.

for a linear function the charge rate would have to be constant between any pair of data points.

the change rate is

( f ( interval end ) - f ( interval begin ) ) /

( interval end - interval begin )

between (1, 2) and (2, 4) we have a charge rate of

(4 - 2) / (2 - 1) = 2

between e.g. (3, 8) and (4, 16) we have a charge rate of

(16 - 8) / (4 - 3) = 8

the change rate is therefore not constant, and it is not a linear function.

B

we see

x1 = 1, y1 = 2

x2 = x1 + 1, y2 = y1×2

x3 = x2 + 1, y3 = y2×2

we get the impression that

xn = xn-1 + 1 = x1 + (n - 1)

yn = yn-1 × 2 = y1 × 2^n

so, while going linearly along the x-axis, y increases by the powers of 2.

the function is then

f(x) = 2^x

C

the change rate between station 2 and 4 (NOT day 2 and 4) is

(16 - 4) / (4 - 2) = 12/2 = 6