The table below represents values of f(x) for selected values of x.
-4 -2 2 4
x
-4
O
8
12
The linear function g(x) is shown in the coordinate plane below.
Which statement is true?
The function f(x) has a greater rate of change than the function g(x).
The function g(x) has a greater rate of change than the function f(x).
The function g(x) has a greater x-intercept than the function f(x)
The function g(x) has a greater y-intercept than the function f(x).

Answer:

The factored form of the equation is (x + 4)(x – 6) = 0.

The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation:

a) The inequality for the expression 2z + 9 is 2z + 9 > 13.

b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The inequality for the expression 4 + 2z is 4 + 2z > 8.

d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.

a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:

2z > 2 * 2

2z > 4

Adding 9 to both sides:

2z + 9 > 4 + 9

2z + 9 > 13

Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.

b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:

3z - 3 * 4

3z - 12

Since we are given that z > 2, we can substitute z > 2 into the expression:

3z - 12 > 3 * 2 - 12

3z - 12 > 6 - 12

3z - 12 > -6

Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:

4 + 2z > 4 + 2 * 2

4 + 2z > 4 + 4

4 + 2z > 8

Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.

d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):

5 * 3z - 5 * 2

15z - 10

Considering the given inequality z > 2, we can substitute z > 2 into the expression:

15z - 10 > 15 * 2 - 10

15z - 10 > 30 - 10

15z - 10 > 20

Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.

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A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

1.335

Step-by-step explanation:

\(1/2 * 2 * 1 = 1\) square unit.

Step-by-step explanation:

To find the maximum area of the triangle, we need to locate the vertex of the parabola. This occurs when x=1. The y-coordinate at x=1 is 1. We can then use this as the height of the triangle. The base of the triangle is the distance between x=0 and x=2, which is 2. Therefore, the maximum area of the triangle is 1/2 * 2 * 1 = 1 square unit.

A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.

To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.

Let's calculate the sum of the digits in 1234:

1 + 2 + 3 + 4 = 10

The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.

To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.

The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.

1234 + 2 = 1236

we obtain the number 1236, which is divisible by 3.

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Answer: 1.To find the mean, we sum up all the scores and divide by the number of scores:

Mean = (5 + 12 + 8 + 14 + 11) / 5 = 50 / 5 = 10

To find the variance, we first find the deviation of each score from the mean:

5 - 10 = -5

12 - 10 = 2

8 - 10 = -2

14 - 10 = 4

11 - 10 = 1

We square each deviation and sum them up:

(-5)^2 + 2^2 + (-2)^2 + 4^2 + 1^2 = 26

Then, we divide by the number of scores to find the variance:

Variance = 26 / 5 = 5.2

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √5.2 = 2.28

2. To construct a simple random sample of size 2, we can choose any two scores from the population. The number of ways to do this is given by the combination formula:

C(5,2) = 5! / (2! * (5 - 2)!) = 10

Therefore, there are 10 simple random samples of size 2 that can be constructed.

3.The mean of the sampling distribution of the sample means is equal to the population mean, which we found to be 10. The variance of the sampling distribution is equal to the population variance divided by the sample size:

Variance of sampling distribution = Variance / Sample size = 5.2 / 2 = 2.6

The standard error of the sampling distribution is the square root of the variance:

Standard error = √2.6 = 1.61

4.The variance of the sampling distribution is 2.6, as we found in part

5. Since this is considered to be data from a simple random sample, we can use the sample mean as a point estimate of the population mean. Therefore, the point estimate of the population mean is 10.

Similarly, we can use the sample variance as a point estimate of the population variance. However, we need to correct for the bias in the sample variance by dividing by (n-1) instead of n:

Point estimate of population variance = Variance * (n / (n-1)) = 5.2 * (5 / 4) = 6.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

15% of 20 is 3

Answer:

1) two spaces are being added per figure. 2)203

Step-by-step explanation:

Answer:

1. Two tiles add per figure, one on each side.

2. The hundredth figure would have 201, because if you want to find the answer to any figure you multiply by two and add one

Step-by-step explanation:

Answer:  A

Step-by-step explanation:

Addition and subtraction of matrices is very simple - just add (or subtract) the values of each matrix that have the same designation.

\(\left[\begin{array}{c}a\\b\end{array}\right] +\left[\begin{array}{c}d\\e\end{array}\right]-\left[\begin{array}{c}g\\h\end{array}\right]=\left[\begin{array}{c}a+d-g\\b+e-h\end{array}\right]\\\\\\\\\left[\begin{array}{c}8\\5\end{array}\right]+\left[\begin{array}{c}-3\\8\end{array}\right]-\left[\begin{array}{c}-2 \\1\end{array}\right]=\left[\begin{array}{c}8+(-3)-(-2)\\5+8-1\end{array}\right]=\left[\begin{array}{c}7\\12\end{array}\right]\)

Step-by-step explanation:

Thanks dude

Have a nice day and great day please

Answer:

To solve this problem, we can use the tangent function, which is defined as the ratio of the opposite side to the adjacent side of a right triangle. Since the angle formed by the ladder and the ground is 72 degrees, we can consider the horizontal distance between the base of the ladder and the wall to be the adjacent side of the right triangle, and the height of the ladder to be the opposite side.

We can set up the following equation to represent this relationship:

tan(72^{\circ}) = opposite/adjacent

Substituting the values given in the problem, we get:

tan(72^{\circ}) = 26 feet / adjacent

To find the value of the adjacent side, we can solve for "adjacent" in the equation above. We can do this by dividing both sides of the equation by 26 feet and then taking the inverse tangent (tan^(-1)) of both sides:

adjacent = 26 feet / tan(72^{\circ})

Using a calculator or a table of tangent values, we can find that the value of tan(72^{\circ}) is approximately 3.73. Substituting this value into the equation above, we get:

adjacent = 26 feet / 3.73

Solving this equation, we find that the horizontal distance between the base of the ladder and the wall is approximately 6.99 feet. Rounding this value to the nearest hundredth of a foot, we get an answer of approximately 6.99 feet.

(pls give brainliest

Answer: 8.03

Step-by-step explanation:

Answer:

Step-by-step explanation:

exponential

The midpoint of a line segment is the point located halfway between two endpoints.

Therefore, if the points and have the coordinates (x1, y1) and (x2, y2), respectively, then the coordinates of the midpoint, , are defined as:

\(M = (x1 + x2)/2, (y1 + y2)/2\).

The equation of a line is y = mx + b, where m is the slope and b is the y-intercept. Since we know the coordinates of the two points, we can calculate the slope of the line using the formula:

\(m = (y2 - y1)/(x2 - x1).\)

Using the values of x1, y1, x2, and y2, we can calculate the slope of the line. We can then use the coordinates of and to calculate the y-intercept of the line, b.

Once we have determined the slope and y-intercept of the line, we can substitute these values into the equation of a line, y = mx + b, to determine the equation of the line.

The length of the line is equal to the distance between the two points and, for two points with coordinates (x1, y1) and (x2, y2), we can use the distance formula to calculate the length:

\(L = √((x2 - x1)^2 + (y2 - y1)^2)\).

Substituting the values of x1, y1, x2, and y2 into this equation will give us the length of the line, which is equal to .

Therefore, the equation of the line and the length of the line are and , respectively.

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For one to isolate the variable by using equation rules. Inverse inequality sign if multiplying/dividing by negative. Steps to isolate variable in inequality: Simplify, move constants with inverse operations. Divide coefficient to isolate variable. Reverse direction if using negative number.

Inequalities require you to apply the same principles as those used in equations when isolating a variable. For example, if there is an inequality 3x - 5 < 7. one can isolate the variable, by first:

Add 5 to both sides to be: 3x < 12.

Then divide both sides by 3: x < 4.

So, the variable x is one that is isolated, and the solution to the inequality is one where x < 4.

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The Solution:

Given the functions below:

We are required to find the value of f(-1)g(2)

So,

Similarly,

g(2) means we should substitute 2 for x in g(x).

Now, we shall multiply f(-1) and g(2) together.

Therefore, the correct answer is [option C]

Answer:

Let x = software program

Let y = video game

x < 200 ; y < 300

x + y < 425

50x ; 35y

x = 200 ; y = 225

50(200) + 35(225) = 10,000 + 7,875 = 17,875

x = 125 ; y = 300

50(125) + 35(300) = 6,250 + 10,500 = 16,750

x = 175 ; y = 250

50(175)  + 35(250) = 8,750 + 8,750 = 17,500

It is more profitable to maximize production of software program when working within the limits provided.

Step-by-step explanation:

Answer:

Thank it if its helpful :D      ; Answer is 2

Step-by-step explanation:

well lets make it y=mx+b form

3y=-x+6

y=-x/3+2

Y-intercept = 2

From the given numbers, 2.6628, 4.17183 and √9 are the rational numbers.

Rational numbers are the numbers that are in the form of p/q where q is not equal to zero that is q≠0. Rational numbers can be expressed as a fraction where both numerators and denominator are whole. When these fractions are further divided, the result will be in decimal form, which may be either terminating decimal or the repeating decimal

Irrational numbers are numbers that cannot be written as simple fractions but can be written in decimal form. It has endless non-terminating digits after the decimal point.

Now according to the question ,

i) √3300 = 57.4456…. as it has endless non-terminating digits after the decimal point. It is an irrational number.

ii) 2.6628 is a rational number as it has a terminating decimal.

iii) 4.137183 is also a rational number as it has terminating decimal.

iv) √9 = 3 is a rational number as it is a perfect square and can be written as fraction.

v) 9.327925…. is a irrational as it has endless non-terminating digits after the decimal point.

Hence 2.6628, 4.17183 and √9 are the rational numbers.

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There is no whole number by which you can multiply or divide 16087 to make it a perfect square.

To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.

In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.

To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.

A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.

Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.

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Answer:

this is to hard and I like math

Answer:

240.52 m square is your answer

Answer:

B

Step-by-step explanation:

area of square=20×21=420 m²

diagonal=√(20²+21²)=√(400+441)=√841=29

radius=29/2

area of circle=π×(29/2)²=841/4  π≈660.52 m²

area of shaded region=660.52-420=240.52 m²

The value of n is 8.

Binomial theorem is the method of expanding an expression consisting of two terms raised to any power.

Using the expansion of Binomial theorem, we can write,

(2 + 3x)ⁿ = ⁿC₀ (2)ⁿ (3x)⁰ + ⁿC₁ (2)ⁿ⁻¹ (3x)¹ + ⁿC₂ (2)ⁿ⁻² (3x)² + ⁿC₃ (2)ⁿ⁻³ (3x)³ + ⁿC₄ (2)ⁿ⁻⁴ (3x)⁴ + .............

Coefficient of x³ is  ⁿC₃ (2)ⁿ⁻³ (3)³ and the coefficient of x⁴ is ⁿC₄ (2)ⁿ⁻⁴ (3)⁴.

Ratio of these coefficients is 8 : 15.

[ⁿC₃ (2)ⁿ⁻³ (3)³] / [ⁿC₄ (2)ⁿ⁻⁴ (3)⁴] = 8 / 15

Simplifying,

(4 × 2) / [(n - 3) 3] = 8/15

8 / 3n - 9 = 8 /15

Equating, we have,

3n - 9 = 15

3n = 24

n = 8

Hence the value of n is 8.

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Answer:

r = 3.

Step-by-step explanation:

16 = 10 + √(3r + 27)

√(3r + 27) = 6

Square both sides:

3r + 27 = 36

3r = 36 - 27 = 9

r = 3.

Check the result:

Left side of the equation = 16

Right side = 10 + √(9 + 27)

                  = 10 + √36 = 16

Answer: r = 9

Given:

\(16=10+\sqrt{3r+27}\)

Step-by-step explanation:

\(16-10=\sqrt{3r+27}\)

\(6=\sqrt{3r+27}\)

Taking square on bothsides, we get

\(36=3r+27\)

\(3r=36-27\)

\(r=\frac{9}{3}\)

\(r=3\)

Answer:

0.64

Step-by-step explanation:

resault16/25 decimal form 0.64

Answer:

-0.16 is the correct answer

Answer:

Answer: 52.4 percent

Step-by-step explanation: So you'd want to subtract 7.80 from 16.40 to get 8.60. Then you'd multiply that by 100 which would give you 860. After you've done that you want to divide 860 by 16.40.

The volume of the two prisms compares that the volume of prism B will double.

We are given that side length of the cube measured 18 inches in length. She built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

When the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:

V = B x h

So, the volume of the two prism A= V = B x h

V = 18 x h = 18h

the volume of the two prism B= V = B x h

V = 18 x 2h = 36h

So, the volume of prism B will double thus the correct option is B.

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The complete question is;

Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

How does the volume of the two prisms compare?

The volume of prism B will triple.

The volume of prism B will double.

The volume of prism B will decrease.

The volume of prism B will be cut in half.