PLEASE HELP!!!
Let \(f(x)=x^{4}-2x^{3} -3x^{2} +4x+4\), \(g(x)=\sqrt{x^{2} -x-2}\) and \(h(x)=\frac{-x^{2} +1}{x^{2} -x-2}\)

Part A: Use complete sentences to compare the domain and range of the polynomial function f (x) to that of the radical function g(x). (5 points)

Part B: How do the breaks in the domain of h (x) relate to the zeros of f (x)? (5 points)

Answer:

y = 2x − 5

Step-by-step explanation:

i took the quiz

Answer:

The answer is 20%.

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

To write the decimal as a percent, we multiply it by 100

0.20 = 0.20 × 100 = 20%

Hence, 0.20 is the same as 20%.

Answer:

Line C

Step-by-step explanation:

Hope you pass

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

Answer:

option 1 hope this helps :)

Step-by-step explanation:

Answer:

3^x + 12x -4

Step-by-step explanation:

f(x) = 3^x + 10x

g(x) = 2x - 4,

(f + g)(x) = 3^x + 10x +  2x - 4

Combine like terms

             = 3^x + 12x -4

Answer:

(f + g)(x)= 3^x +12x -4

Step-by-step explanation:

To find (f+g)(x), we must add f(x) and g(x).

(f + g)(x)= f(x) + g(x)

We know that f(x)= 3^x + 10x and g(x)= 2x-4

Therefore, we can substitute these into the equation.

(f + g)(x)= (3^x+10x) + (2x-4)

Combine like terms. Add all the terms with an x.

(f + g)(x)= 3^x + (10x+2x) -4

(f + g)(x)= 3^x +12x -4

(f + g)(x) is 3^x +12x -4

There are 64 boards in the stack.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

A stack of boards is 24 inches high.

Each board is 3/8 of an inch thick.

As, When dividing fraction, multiply the first fraction by the reciprocal of the second fraction. (A reciprocal is an upside down fraction)

Then, number of boards

= 24 x 8/3

= 8 x 8

= 64

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Answer:

d.937.50

Step-by-step explanation:

After each year it adds 5% so 5x5 is 25%

25% of $3,750 is $937.50

hope this helps :)

The roots of the function f(x) = \(x^2+2x-1\) are

x = \(-1+\sqrt{2}\)

x = \(-1-\sqrt{2}\)

The function is given f(x)=  \(x^2+2x-1\)

The roots of given function will be at f(x) = 0

Substitute the value in the equation

\(x^2+2x-1\) =0

Here to find the roots of the function, we have to use the quadratic formula in the given function

Roots of the function = \(\frac{-b+/-\sqrt{b^2-4ac} }{2a}\)

From the given function the values of

a = 1

b = 2

c = -1

Substitute the values in the quadratic formula and find the roots of the function

= \(\frac{-2+/-\sqrt{2^2-4(1)(-1)} }{2(1)}\)

= \(\frac{-2+/-\sqrt{4+4} }{2}\)

= \(\frac{-2+/-2\sqrt{2} }{2}\)

The roots of the given functions are

x = \(-1+\sqrt{2}\)

x = \(-1-\sqrt{2}\)
Hence, the roots of the function f(x) = \(x^2+2x-1\) are

x = \(-1+\sqrt{2}\)

x = \(-1-\sqrt{2}\)

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The number of permutations of the set {1, 2, ..., 14} in which exactly 7 integers are in their natural positions can be determined using combinatorial principles.

To solve this problem, we need to consider the number of ways to choose 7 integers from the set of 14 to be in their natural positions. Once these 7 integers are fixed, the remaining 7 integers can be arranged in any order. The number of ways to choose 7 integers from a set of 14 is given by the binomial coefficient C(14, 7). This can be calculated as C(14, 7) = 14! / (7! * (14 - 7)!) = 3432.

Once the 7 integers are chosen, the remaining 7 integers can be arranged in any order. The number of permutations of 7 elements is given by 7!. Therefore, the total number of permutations with exactly 7 integers in their natural positions is given by C(14, 7) * 7! = 3432 * 5040 = 17,301,120.

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The signed number to represent ''A car corporation produced 940 fewer cars this month than last'' is - 940.

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To provide an accurate answer, I would need more context about the data and the research question being asked. However, I can provide a brief explanation of each test option:

a. Single sample t-test: Used when comparing a sample mean to a known population mean.
b. Independent t-test: Used when comparing the means of two independent groups.
c. Paired t-test: Used when comparing the means of two related groups or repeated measures.
d. One-way ANOVA: Used when comparing the means of three or more independent groups.

Please provide more information about the data and research question so I can recommend the appropriate test to analyze the data.

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Answer:

A=30

Step-by-step explanation:

Answer:

x =33.48537662

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin x = 32/58

Taking the inverse sin of each side

sin^-1 (sin x)  = sin ^-1( 32/58)

x =sin ^-1( 32/58)

x =33.48537662

Answer:

33.47 degrees

Step-by-step explanation:

sin=32/58

sin^-1(32/58)= 33.47

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Answer:3

Step-by-step explanation:

Ok listen I don't know if this is right and if it is not I am sorry so if it is let me know please. And if it's wrong let me know. Thank you.

The probability that exactly three songs out of 50 randomly sampled from Colin's music library are classical is determined by the binomial probability formula, taking into account a probability of 8% for each song.

Since the songs are sampled with replacement, each song has the same probability of being classical, which is 8%. We can consider this as a binomial distribution with n = 50 (number of trials) and p = 0.08 (probability of success). We are interested in the probability of exactly three classical songs, so we can calculate it using the binomial probability formula:

P(X = 3) = C(50, 3)  (0.08)^3  (1 - 0.08)^(50 - 3)

where C(50, 3) represents the combination of choosing 3 songs out of 50. By calculating this expression, we can determine the probability that exactly three songs in the playlist are classical.

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Answer:

I think when u substitute the order pair for x and y Into the equation the y is gonna be les than the x + 10

Step-by-step explanation:

K so am confused abt ur question but here

example (2,5)

y < x + 10

substitute 2 for x and 5 for y

5 < 2 + 10

5 < 12

y is less than x + 10

Answer:

Let T show the total number of stops in 100 rolls. According to Central limit theorem, sampling distribution of sample sum will be approximately normal distribution with following parameters

Divide the volume of the larger cube by the volume of the smaller cube.

1. (3/7 x 3/7 x 1/7) / (1/7)^3 = 9

Answer: 9

2. (2/6)^3 / (1/6)^2 = 8

Answer: 8

3. (1/3 x 2/3 x 2/3) / (1/6)^3 = 32

Answer: 32

4. (3/7)^3 / (1/7)^3 = 27

Answer: 27

The outward flux of the vector field F(x, y, z) = x³(1) + x²y() + x²e(k) through the surface S can be evaluated using the Divergence Theorem.

To evaluate the outward flux of the vector field F(x, y, z) = x³(1) + x²y() + x²e(k) through the surface S, we can apply the Divergence Theorem. The Divergence Theorem states that the outward flux of a vector field through a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface.

In this case, we need to find the divergence of F(x, y, z), which involves taking partial derivatives with respect to x, y, and z. Once the divergence is determined, we can set up the triple integral over the volume bounded by the given equations and calculate the result to find the outward flux.

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So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:

Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep

4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3

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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.

To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:

Calculate the circumference of the wheel:

The circumference of a circle is given by the formula

C = 2πr

where r is the radius of the wheel.

In this case, the radius is 30 inches, so the circumference is

C = 2π(30)

   = 60π inches.

Calculate the distance traveled in one revolution:

Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.

Calculate the distance traveled in one minute:

Multiply the distance traveled in one revolution by the number of revolutions per minute.

In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.

Convert the distance to miles per hour:

There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.

Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.

The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.

Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.

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Answer:

Down Below

Step-by-step explanation:

b=0.5

g=0.8

1.      3b + 5g = ?

       3×0.5+5×0.8=?

        1.5+4= 5.5 cm

2.      6(3b+5g) = ?

        18b + 30g
        18×0.5+30×0.8

        9+24= 33 cm

3.          2b + 3g

           2×0.5+3×0.8
           1+2.4=3.4 cm

4.   7(2b+3g)
     14b + 21g
     14×0.5+21×0.8
     7+16.8= 23.8 cm

5.     Add number 2 and 4 together
       14b+21g+18b+30g= 32b+ 51g

Take numbers and add them from problems 2 and 4
     23.8+33=56.8 cm

The probability that the chip drawn from urn II is red is 4/15. Let's call the event that the chip drawn from urn I and transferred to urn II is red "R1", and the event that the chip drawn from urn II is red "R2".

The probability of event R1 is 2/6 = 1/3.

Given that event R1 has occurred, the number of red chips in urn II becomes 4, and the number of total chips becomes 4+1=5. The probability of event R2 is 4/5 = 4/5.

The probability of both events occurring is (1/3) * (4/5) = 4/15.

So, the probability that the chip drawn from urn II is red is 4/15.

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If a regression line is parallel to the horizontal axis of a scattergram, it means that there is no relationship between the two variables being plotted. In this case, the slope (b) of the regression line would be zero.

When we perform a linear regression analysis, we are trying to find the best-fitting line that represents the relationship between the independent variable (x) and the dependent variable (y). The slope (b) of this line represents the rate of change between the two variables. If the regression line is parallel to the horizontal axis, it suggests that there is no change in the dependent variable for any change in the independent variable.

The general equation for a linear regression line is:

y = a + bx

Here, "a" represents the y-intercept (the value of y when x is zero) and "b" represents the slope. When the regression line is parallel to the horizontal axis, it means that the line is perfectly horizontal, and the dependent variable (y) does not change as the independent variable (x) changes.

Mathematically, this can be represented as:

y = a + 0x

y = a

In this equation, the slope (b) is zero because there is no change in the dependent variable (y) for any change in the independent variable (x). The value of y remains constant, resulting in a horizontal line parallel to the x-axis.

To further explain, when the slope (b) is zero, it indicates that there is no linear relationship between the two variables. In a scattergram, the points are spread out randomly and do not follow any specific trend or pattern. Each value of x corresponds to a single value of y, and these values do not exhibit any systematic change as x increases or decreases.

Visually, a regression line that is parallel to the horizontal axis will appear as a flat line, with all points lying on the same y-value. This indicates that the dependent variable does not depend on the independent variable and remains constant across all values of x.

In conclusion, when a regression line is parallel to the horizontal axis in a scattergram, the slope (b) of the line is zero. This indicates that there is no linear relationship between the variables being analyzed, and the dependent variable does not change as the independent variable varies. The absence of a slope suggests that the two variables are not related in a linear fashion, and the scattergram does not exhibit any pattern or trend.

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