Select the correct answer. The graph of function f is shown. Function g is represented by the table. x -1 0 1 2 3 g(x) 15 3 0 Which statement correctly compares the two functions? A. They have the same x-intercept but different end behavior as x approaches ∞. B. They have the same x- and y-intercepts. C. They have the same y-intercept and the same end behavior as x approaches ∞. D. They have different x- and y-intercepts but the same end behavior as x approaches ∞.

Answer to all the parts are as x , x , 1/8 , 4 the inverse function can be calculated as.

What is inverse function?

An inverse function or an anti function is outlined as a function, which may reverse into another perform. In straightforward words, if any perform “f” takes x to y then, the inverse of “f” can take y to x. If the perform is denoted by ‘f’ or ‘F’, then the function is denoted by f⁻¹or F⁻¹.

Main body:

To determine the inverse of function f(x) , we normally change the the function in terms of other variable in this case y .

So first we need to switch x and y. and then solve for y.

Initial equation :

f(x) = \(\sqrt[3]{8x} -4\)

y =\(\sqrt[3]{8x} -4\)

y + 4= \(\sqrt[3]{8x}\)

\((y+4)^{3}\) = 8x

(1/8)*\((y+4)^{3}\) = x

hence the value for the inverse function is as follows.

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The expected value of mean of x is 1.0.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including basic arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means. The mean may be used as a benchmark for all observations since it can be used to reflect the typical value. We may determine the mean training hours of a group of employees, for instance, if we want to know how many hours each employee spends in training on average each year.

Here,

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The probability that a resident is female is 0.625.

Probability is a method for determining how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

We know that the probability of a function is the ratio of favorable cases to the total number of cases possible.

Given that,

Total number of females = 19+2+4 =25

total number of males=1+9+5 = 15

The probability that a resident is female is the Total number of females / total number of people

Hence total number of people = 25+15 = 40

So, Probability = 25/40 = 0.625

Therefore, the probability that a resident is female is 0.625.

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The probability that a resident is female = 0.625

The correct answer is an option (d)

The complete contingency table would be:

                      60-69         70-79          Over 79           Total

Male                  1                  9                 5                     15

Female              19                2                 4                      25

Total                  20               11                 9                     40

Here, sample space i.e., the total number of residents = 40

So, n(S) = 40

Let event A: a resident is female

From the contigency table, the number of favourable outcomes of the event A are 25

So, n(A) = 25

Using the definition of probability, the probability of event A would be,

p(A) = n(A)/n(S)

p(A) = 25/40

p(A) = 0.625

Therefore, the required probability is 0.625

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A. subtract the bottom equation from the top equation

Step-by-step explanation:

The elimination method for solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation. So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation.

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Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

Answer:

Inequality

\(-22<m<12\)

Interval Notation

\((-22,12)\)

Reasoning:

First of all, subtract nine on both sides.

\(| m + 5|<17\)

Now make two equations

\(|m+5|=-17\)

\(m=-22\)

\(|m+5|=17\)

\(m=12\)

Now you can make an inequality for m:

\(-22<m<12\)

Answer:

C) The change in expected quiz score for every additional one hour students spend on their homework

Step-by-step explanation:

The slope of a line is -2.

The slope of a line can be described as follows:

The slope of a line is a measure of its steepness

Slope = rise / run

slope = y₂ - y₁ / x₂ - x₁

using (0, -4)(-1, -2)

x₁ = 0

x₂ = -1

y₁ = -4

y₂ = -2

Therefore,

slope = -2 - (-4) / -1 - 0

slope = -2 + 4 / -1

slope = 2 / -1

slope = -2

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Answer:

ok so the graph tells you 24 seconds by 4 ounces

Step-by-step explanation:

The point where both lines meet is the point where they are both equal.

The point where both lines meet is (24,4)

Since the x-axis represents seconds the x-coordinate will represent the number of seconds it takes for them to be equal which is 24.

Since the y-axis represents ounces the y-coordinate will represent the number of ounces they have when they are equal which is 4.

Answer:

Tank A fills up faster.

Step-by-step explanation:

Tank A is y = 13x

Tank B is y = 11x

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Answer:

The tip is 35 dollars

Step-by-step explanation:

Divide 140 by 4 to get 25%

140/4 = 35

35+35+35+35 = 140

25% of 140 = 35

The tip is 35 dollars

Answer:

35

Step-by-step explanation:

trust

Answer:

X=0

y=2

therefore,

y=1x+2

2=1*0+2

2=2

Answer:

Step-by-step explanation:

(13g+1) - (-2-5g) = 8/3(3g+9/8)

We'll set them equal for now and then simplify

(13g + 1 - 2 - 5g) = (8g + 3)

8g - 1 = 8g + 3

So now we know they're not equal. Mr. Scotty boy is wrong and you have the simplifications. Hope this helps!

Answer:

Conservative. Replication produces one helix made entirely of old DNA and one helix made entirely of new DNA.

Semi-conservative. Replication produces two helices that contain one old and one new DNA strand.

Dispersive.

Step-by-step explanation:

Replication is the process by which a double-stranded DNA molecule is copied to produce two identical DNA molecules. DNA replication is one of the most basic processes that occurs within a cell.

Answer:

7

Step-by-step explanation:

so simple like that you gona divide it

Answer: true

Step-by-step explanation:

The good Samaritan law allows you to help people and not be liable for trying to do so.

The probability of getting at most 3 defects in the given hour as per given Poisson distribution with the mean is equal to 0.2159.

As given in the question,

Given that Poisson distribution with the mean of 3.50 of defective items which was produced per hour by certain process.

Here , λ = 3.50

At the most 3 defects were found in a given hour.

x = 3

Probability of at most 3 defects using Poisson distribution ' P(X = x)'

= \(e^{-\lambda}\) (λˣ/ x!)

= \(e^{-3.50}\)[ (3.50)³/3!]

= (0.03020)(42.875/6)

=(0.03020) × 7.15

= 0.21593

= 0.2159

Therefore, the probability of getting at most 3 defects in the given hour is equal to 0.2159.

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Answer:

172/100x850

Step-by-step explanation:

1462

The correct length of the missing part of the triangle would be = 10. That is option A.

The length of the smaller triangle = 20

The width of the smaller triangle = 16

The length of the bigger triangle = 20+X

The width of the bigger triangle = 24

But for similar triangles = 16/24 = 20/20+X

16(20+X) = 20×24

320+ 16x = 480

16x = 480-320

16x = 160

X = 160/16

X = 10

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Answer:

Step-by-step explanation:

Given sides

Perimeter

Answer:

Answer: y=1/2x+3

Step-by-step explanation:

y-0=1/2(x+6) : point-slope

x-2y=-6 : standard

Answer:

Step-by-step explanation: Plug coordinates into y=ax+b

Simultaneous equations

0=-6a+b

7=8a+b

so 7=14a

a=0.5

Then b=3

So y=0.5x+3

Answer:B < 12.

Step-by-step explanation:

The square root of 0.000169 using division method is  0.0130.

Given, 0.000169To find the square root of 0.000169 using division method:

Step 1: Pair the digits starting from the decimal point. If the number of digits in the decimal part is odd, then pair the digit preceding the decimal point to the leftmost digit.0. 00 01 69

Step 2: Starting from the left, we will pair up the digits in the decimal portion by putting a bar over a pair of digits. We will also pair up the digits to the left of the decimal point, if any, in the same way.0. 0 0|01| 69

Step 3: We have to find a number such that when it is multiplied by itself then the product must be less than or equal to 1.69. Clearly, 1 × 1 = 1 is less than 1.69.0. 0 1|01| 69- 1 | -| ---------| -| ------|1 69|--------------|1 69

Step 4: Bring down the next two decimal places 00. Multiply the divisor by 20 and write it as the new dividend below the last dividend. Double the quotient digit, put it in the quotient and guess a digit to be put at the end of the divisor to make it a new divisor.

The divisor now becomes the sum of the previous divisor and the new digit.0. 00 01 |01| 69 - 1 | -| ---------| -| ------|1 69|--------------|1 69. . . 4 0 .4× 40=160 (the largest number whose product with the quotient is less than 169.)0.

00 014|01| 69- 1 | 0.4| ---------| -| ------| 1 09|--------------|1 69

Step 5: Repeat the process till the required number of decimal places is obtained. We require the square root correct to four decimal places.0. 0001 69| --------------|0.0130 2 5 0 1 4 1 0 0 0 0 0 0|---------------|130The square root of 0.000169 using division method is 0.0130 (correct to 4 decimal places).Therefore, the correct option is 0.0130.

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Answer:

She is correct.

Step-by-step explanation:

1/2 and 50% is the same thing

50%  is 1/2 of 100

answer

c

Step-by-step explanation:

sequence= if x= -1 , y = -12

if x = -2 , y = 6

so the answer is 12/x

Answer:

Yes I think

Step-by-step explanation:

I went through the braces process a few years ago and I got an expander. Your separator is probably making room for something meaning your teeth will probably move. Im no professional so Id say call into the office tomorrow or asap. And for the pain use whatever pain meds they allow (normally ibprophen ot tylenol) (sorry for spelling)

Answer: The pattern is 800, 400, 200, 100, 50, and 0.

I hope this helped! :)

Answer: Every number in the patten will have a 0 or a 5 in its ones place

Step-by-step explanation:

In conclusion, each yi (i = 1, ..., n) has a Poisson distribution with mean μ, and their PMFs follow the below expression.

Hi! The given terms are y1, ..., yn, which are independent Poisson random variables each with mean μ. To determine the distribution for y1, ..., yn, we consider their properties.

Since y1, ..., yn are independent Poisson random variables, each of them follows a Poisson distribution with the same mean μ. The probability mass function (PMF) for each yi (where i = 1, ..., n) can be expressed as:

\(P(y_i = k) = (e^{-u} * \frac{(u^k))} { k!} , for k = 0, 1, 2, ...\)

Here, e is the base of the natural logarithm, and k! denotes the factorial of k.

In conclusion, each yi (i = 1, ..., n) has a Poisson distribution with mean μ, and their PMFs follow the above expression.

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