Which parent function is represented by the table? A √x) = x² B. f(x) = |x| C. f(x) = x. D. f(x) = 2^x ​

Answer:

C.

Step-by-step explanation:

3 = 1.5 * 2

9 = 1.5 * 6

15 = 1.5 * 10

33 = 1.5 * 22

Answer:axis

Step-by-step explanation: because it indicates the direction and distance of the figure moving

Answer:

y= -1/4x - 6

Step-by-step explanation:

slope: rise over run

find a clear point such as (-4, -5) and count how many to the right and how many down so that you get to the point where it crosses the y-axis (0, -6).

so it is 1 down, and 4 across, giving you slope of -1/4. It is negative because it is going downwards.

as for the +b, it is the y value where it crosses the y axis. (0, -6). so you get -6  

Answer:

two or four

Step-by-step explanation:

Any degree-X polynomial can have up to 8 zeros (some of them can have multiciplity higher than 1).

The polynomial can be written as:

f(x) = (x-a)(x-b)(x-c)(x-d)(x-e)(x-f)(x-g)(x-h)

and we're already told that there are 2 x-intercepts, one with multiplicity 1. Let's assign those x-intercepts a and b=c=d (multiplicity 3).

We're left with (x-e)(x-f)(x-g)(x-h), where e, f, g and h need to be non-real complex numbers (otherwise they'd provide x-intercepts).

The complex zeros (more accurate term than imaginary) must come in pairs - if a number c is a zero of the function, its conjugate is a zero too. That means that we need to have an even number of complex zeros.

We can either have 4 distinct complex zeros, or 2 complex zeros, each with multiplicity of 2.

Answer:

(f*g)(x) = 4x⁵ - 16x³ + x² - 4

Step-by-step explanation:

To find (f*g)(x), you need to multiply f(x) with g(x).  Use FOIL to multiply.

f(x) = 0.5x² - 2

g(x) = 8x³ + 2

(f*g)(x) = (0.5x² - 2)(8x³ + 2)

(f*g)(x) = 4x⁵ + x² - 16x³ - 4

(f*g)(x) = 4x⁵ - 16x³ + x² - 4

Answer:

yay thx for the points, hehe

The decimal system is a positional notation system, which means that the value of a digit in a number depends on its position in the number.

In the decimal system, each digit can take on one of ten possible values (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9), and the value of a number is determined by multiplying each digit by its corresponding power of ten and then summing up the products.

For example, the number 123 can be written as \(1 x 10^2 + 2 x 10^1 + 3 x 10^0\), where the exponent on the 10 indicates the position of the digit in the number. The left-most digit (1) is in the hundreds place, the next digit (2) is in the tens place, and the right-most digit (3) is in the ones place.

This positional notation system allows us to easily compare numbers by starting at the left-most non-zero place, because the value of each digit is determined by its position relative to the other digits in the number. The left-most digit represents the largest power of 10, and thus has the greatest impact on the overall value of the number. By comparing the left-most non-zero digits of two numbers, we can quickly determine which number is larger. If the left-most non-zero digits are the same, we can move on to the next digit to the right and continue the comparison until we find a difference.

This is why we use the left-to-right ordering of digits to compare numbers in the decimal system. It allows us to quickly determine the relative size of numbers, even when dealing with large or complex numbers.

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Answer:

36 yards

Step-by-step explanation:

10 yards needed minus 30 then add 1 and 3 and you have your answer

Answer:

Distance is 8.49 units

Step-by-step explanation:

Answer:

d= √  72

Step-by-step explanation:

d=√  (1−7)2+(8−2)2

d=√  (−6)2+(6)2

d=√  36+36

d=√  72

d=8.485281

Answer:

hey! id love to help but its not loading. do you have a link by any chance?

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

3/4 is fifteen so you divide 15 by 3 to get 5, so if 5 time 3 id 15 then 5 times 4 is 20

hope this helps!

Answer:

Step-by-step explanation:

See attachment

The number of days that had either rain or high winds for the considered case is 77

For two subsets A and B of the universal set U, we have:

\(n(A \cup B) = n(A) + n(B) - n(A \cap B)\)

Assume that:

A and B be the subsets of what happens on each day.

Then in the days of last several weeks , we take:

then, as per the data given, we get:

Thus, we get:

\(n(A \cup B) = n(A) + n(B) - n(A \cap B)\\n(A \cup B) = 67 + 23 - 13 = 77\)

Thus, n(A ∪B) = number of days seeing either rain or high winds = 77

Thus, the number of days that had either rain or high winds for the considered case is 77

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The expression that represents the distance between Toby's friend's house and the play ground is √(2.5²-1.2²).

A triangle is a plane shape that has three sides.

To calculate the distance between Tope's friend's house and the play gorund, we use Pythagoras theorem.

Where:

From the diagram,

Given:

Substitutute thesevalues into equation 1

Hence, the right option is B. √(2.5²-1.2²)

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The given statements are (a) True

(b) False

(c) False

(d) Not a statement

(e) False

(f) Not a statement

(g) False

(h) Not a statement

Let's go through each part and categorize them accordingly:

(a) 40 is a multiple of 10 that is also a multiple of 5.

- (i) True mathematical statement

(b) Every multiple of 10 is also a multiple of 5.

- (ii) False mathematical statement

(c) There exists a multiple of 10 that is odd.

- (ii) False mathematical statement

(d) 5² - 7³.

- (iii) Not a statement (It is an expression)

(e) 6 + 2 = 6 × 2.

- (ii) False mathematical statement

(f) a + b = ab.

- (iii) Not a statement (It is an equation with variables)

(g) There exist integers a and b such that a + b = ab.

- (ii) False mathematical statement

(h) Is there an odd integer whose square is even?

- (iii) Not a statement (It is a question)

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A critical value, z subscript alpha (zα), denotes the boundary or cutoff point for a statistical test where the level of significance, also known as alpha (α), is set.

A critical value, z subscript alpha (zα), denotes the value at which the probability of observing a test statistic in the tail(s) of the sampling distribution equals the pre-determined significance level (alpha).

The critical value can be defined as the value that is compared with the parameter value in the hypothesis test to determine whether the null hypothesis will be rejected. If the value of the parameter is less than the critical value, the null hypothesis is rejected.

However, if the measured value is higher than the critical value, reject the null hypothesis and accept the alternative hypothesis. In other words, cropping divides the image into acceptable and unacceptable areas. If the value of the index falls within the rejection range, the rejection of the fact is rejected, otherwise the negative hypothesis is rejected.

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Answer:

Yes, Since pH = 0.8 > pS = 0.64

So, on average, more Happy Airlines flights were on time than Speedy Airlines Flights

Step-by-step explanation:

Since for Speedy Airlines, 64 out of a hundred were on time, the proportion is,

\(pS = 64/100 = 16/25=0.64\\pS=0.64\)

And for Happy Airlines, 80 out of 100 were on time, so,

\(pH = 80/100=4/5\\pH=0.8\)

since pH is greater than pS, so we conclude that there is evidence of a difference in the on-time rate for the two airlines

That is, Happy Airlines flights were on time 80% of the time and Speedy Airlines flights were on time 64% of the time

There are 9,405,814 distinct dolls that contain the undesirable statement among their four exclamations.

Since each doll has four exclamations, the total number of distinct dolls can be calculated as the number of ways to choose four statements from a set of 270 statements, which is given by the formula for combinations:

C(270, 4) = 270! / (4! * (270 - 4)!) = 4,012,060

Therefore, there are 4,012,060 distinct dolls with four exclamations.

To calculate the number of distinct dolls that contain the undesirable statement among their four exclamations, we can use the formula for combinations again, this time choosing three statements from the remaining 269 statements and one statement from the undesirable statement:

C(269, 3) * C(1, 1) = 269! / (3! * (269 - 3)!) * 1 = 9,405,814

Therefore, there are 9,405,814 distinct dolls that contain the undesirable statement among their four exclamations.

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Answer: Pt1= Only x=5

              Pt2=Is not x=5 is an extraneous solution though I believe It is x=-2 is an extraneous solution

Step-by-step explanation:

Answer:

1) Only x=5 is

2) x=-2 is an extraneous solution

Step-by-step explanation:

Plato/Edmentum

Answer:

24

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Missing data:

Viewer's Age Group  Excellent Good Average Poor Marginal Total

16–25                          52                 42       12       7           113

26–35                          33                50         5       9          97

36–45                          58                 12       28      34         132

46–55                          25                17       22       12            76

56 +                               12                 5          3         8             28

Marginal Total             180               126      70      70           446

A rating of good or excellent indicates the audience liked the movie, while a rating of poor indicates the audience disliked the movie.

A movie producer accomplished a survey behind a preview screening of her latest movie to estimate how the film would be accepted by viewers from various age groups. The table displays the numbers of viewers in various age groups who ranked the film excellent, good, average, and poor.

25/446 = 0.05605

0.05605 \(*\) 100% = 5.605%

Out of the entire respondents, the percentage of respondents from the 46–55 age group who ranked the film excellent exists at 5.605%.

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Y = 8000/1000= 8

Y= 8*20

Y= 160

Step-by-step explanation:

The formula for a parallelogram is A=Base x Height

So you multiply the base, which is 6, and the height, which is 4.

A=6x4

Hope it helps!

The p-value for a t-score of -0.92 is approximately 0.18 and since it is greater than the significant level, the null hypothesis is rejected.

The first step in testing this hypothesis is to calculate the test statistic, which in this case is a t-score. The formula for the t-score is (y - mu) / (s / sqrt(n)), where y is the sample mean, mu is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

In this case, the sample mean is 25.9, the hypothesized population mean is 26, the sample standard deviation is 7.6, and the sample size is 50. Plugging these values into the formula, we get a t-score of -0.92.

Next, we need to find the p-value associated with this t-score. We can use a t-table or a calculator to do this. Using a t-table with 49 degrees of freedom (since we have a sample size of 50 and one parameter estimated from the sample), we find that the p-value for a t-score of -0.92 is approximately 0.18.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. In other words, we do not have substantial evidence to conclude that the population mean is less than 26. However, it is important to note that the sample mean is slightly below the hypothesized population mean, and the p-value is relatively close to the significance level. Therefore, it may be worthwhile to conduct additional studies with larger sample sizes or different populations to further investigate this question.

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Answer:

Step-by-step explanation:

Equation representing the relationship between the calories from Protein and fat is,

6p + 9f = 60

1). A). If p = 5 grams  and f = 2 grams,

        Number of calories = (6×5) + (9×2)

                                         = 30 + 18

                                         = 48 calories

  B). If p = 10.5 grams  and f = 2 grams,

        Number of calories = (6×10.5) + (9×2)

                                         = 63 + 18

                                         = 81 calories

  C). If p = 8 grams and f = 4 grams

        Number of calories = (6×8) + (9×4)

                                         = 48 + 36

                                         = 84 calories

(2). If f = 6 grams, then we have to calculate the grams of protein from the given equation.

    4p + (9×6) = 60

    4p + 54 = 60

    4p = 60 - 54

    p = \(\frac{6}{4}=1.5\) grams

(3). Combination of 6 grams of fat and 1.5 grams of protein in a snack gives 60 calories of energy.

Answer:

172.5

Step-by-step explanation:

The formula for the surface area of a right circular cone (the following shape) is πr( r + √h^2 + r^2). Since the radius (r) is already given (3) and the height (h) is already given (15), you just replace each r with 3 and h with 15. After solving this out, you should get 172.45, which rounds to 172.5 to the first decimal place

A change in a population that is not related strictly to the size of the population can be described as a change in the demographic makeup of the population. This refers to changes in the characteristics of individuals within the population, such as age, gender, education level, and ethnicity.

For example, if a population experiences an influx of young adults, this would represent a change in the demographic makeup of the population, even if the overall size of the population remains the same.

Other factors that can contribute to a change in the population's makeup include migration patterns, changes in birth rates and mortality rates, and shifts in cultural or social norms. These changes can have significant impacts on a population, affecting everything from economic growth to social dynamics. Understanding demographic changes is therefore critical for policymakers and researchers seeking to address issues such as inequality, public health, and urban planning. By analyzing population trends and anticipating future changes, we can better prepare for the challenges and opportunities that lie ahead.

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Given the expression:

We will rewrite the expression to be as the form (x - a)² = b

So, we need to make a complete square

The coefficient of x = -2

Half the coefficient = -1

Square it will give 1

So, add (1) to both sides of the equation

Factor the left side of the equation, it is a complete square

Compare the result to the given form.

So, the answer will be: