3. The number of children in 10 families of a locality are:
2, 4, 3, 4, 2,0,3,5, 1,6
Find the mean number of children per family.​

Answer:

4.95/1.1 = 4.5 approximately 5 bags

The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.

To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.

Given the table:

X: 2 0 4

Y: -4 3 1

We can plot these points on a graph and see that they form a straight line.

Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.

Based on the given options, we can now evaluate each equation to see which one represents the line:

Y = 1/2x + 5

When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.

Y = -1/2x + 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.

Y = 2x - 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.

Y = -4x + 2

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.

In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.

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Answer:

the statement 'the dilation changed the orientation of the figure' is NOT true

Step-by-step explanation:

the only transformations that can change a figure's orientation is a reflection, not a dilation like is shown.

the first statement is true because it is an enlargement of the shape

the third is true (look at point I and I', point I is (2,2) and becomes (4,4) which follows 2x 2y)

and the fourth is true because the ratios are 1:1:1:1 for both shapes

Answer:

its 5a+b don't report my answer because its correct

Step-by-step explanation:

Answer:

5a+b

Step-by-step explanation:

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

This system of equations have 2 real solution.

As a result, all of these numbers—rational and otherwise—as well as fractions are regarded as real numbers. Due to the decimal's ability to float within the numbers, real numbers with decimal points are known as floating point numbers. No whole number or integer can be a floating point number.

y = 3x + 1 is a solution to 3x - y + 1 = 0.

This line's y-intercept is represented by (0, 1). Plot this point inside the circle with radius 6 that was previously mentioned, and then draw a straight line through it with a slope of 3.

Two points where this line crosses the circle denote actual solutions.

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The ordered pairs that represents a function y in terms of x are  {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}

A set of ordered equation represents a linear function if the domain of the coordinates are not repeated.

For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.

From the given linear functions, the ordered pairs that represents a function y in terms of x are  {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}

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The relationship that represents a function with a greater rate of change than the function graphed is given as follows:

A. y = 4x - 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The slope represents the average rate of change of a linear function.

From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:

m = -2.

For function A, the function is defined as follows:

y = 4x + 3.

Hence the rate of change is given as follows:

m = 4, which is greater than -2.

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Answer:

Me puedes dar más información?...Pliss

Answer: Para esto nesesitamos mas informasion asi no te la podemos responder cariño.

Step-by-step explanation:

Answer:

  40 in³

Step-by-step explanation:

You want the volume of a cone if the volume of a cylinder with the same radius and height is 120 in³.

The formulas for the volume of a cylinder and cone are ...

  V = πr²h . . . . . volume of a cylinder with radius r and height h

  V = 1/3πr²h . . . . . volume of a cone with radius r and height h

If the volume of the cylinder is such that ...

   πr²h = 120 in³,

we can substitute for πr²h in the formula for the volume of the cone:

  V = 1/3πr²h = 1/3(120 in³) = 40 in³

The volume of the cone is 40 in³.

The inverse functions and the domains and ranges of the inverse functions can be presented as follows;

A. The inverse function of f(x) is; \(f^{-1}(x) = \frac{3-x}{7\cdot x}\)

B. f(g(x)) = \(\frac{3}{7\times \frac{(3-x)}{7\cdot x} + 1}\) = x

C. The inverse function reverses the effect of the function. The inverse function is therefore;

x \({}\)      y

10\({}\)     5

6\({}\)      8

5\({}\)      9

4\({}\)      13

2) Domain; 10, 6, 5, 4

Range; 5, 8, 9, 13

An inverse function maps the output, or y-value of a function to the input value or x-value of the function.

2. A. f(x) = 3/(7·x + 1)

The inverse function can be found as follows;

Let f(x) = y

y = 3/(7·x + 1)

(7·x + 1) = 3/y

7·x = (3/y) - 1 = (3 - y)/y

x = (3 - y)/(7·y)

Plugging in x = f⁻¹(x), and y = x, to get;

B. g(x) = (3 - x)/(7·x)

f(x) = 3/(7·x + 1)

f(g(x)) = 3/(7 × ((3 - x)/(7·x)) + 1) = 3/(((3 - x)/(x)) + 1) = 3/(3/x - 1 + 1)

3/((3/x - 1 + 1) = 3/(3/x) = 3 × x/3 = x

Therefore; f(g(x)) = 3/(7 × ((3 - x)/(7·x)) + 1) = x

C. The inverse of the function is the function that produces the input of the function from the function's output, therefore, the inverse of the function can be presented as follows;

x \({}\)     y

10\({}\)    5

6\({}\)     8

5\({}\)     9

4\({}\)     13

2) The domain is the set of the possible inputs of the function, and the range is the set of the possible outputs of the function.

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Answer:

There are different combinations you can do.... for example

10 tables of 4 and 20 tables of 6

or

25 tables of 4 and 10 tables of 6

so Im not sure which :/ but the equation would be:

10x+20y=160

or

25x+10y=160

there are different combinations of the two so im  not sure T_T

This question is based on the concept of linear equation. Therefore, the equation would be, 10x+20y=160 or  25x+10y=160 to represent the situation.

Given:

He wants to have only tables for 4 and tables for 6. The total number of tables is 160.

And x represent the number of 4 seat tables and y represent the number of 6 seat tables.

We need to determined an equation to represent the situation.

Let x represent the number of 4 seat tables and y represent the number of 6 seat tables.

According to the question,

There are different combinations we can make as below,

For example :

10 tables of 4 and 20 tables of 6

or

25 tables of 4 and 10 tables of 6

Therefore, the equation would be, 10x+20y=160  or  25x+10y=160 to represent the situation.

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Answer: 300

Step-by-step explanation:

You are on the computer 5 hrs/per weekday, 25 hrs per week, 1300 hrs per year

Answer:

$1,125 in interest.

Step-by-step explanation:

We need the formula of I = P * i * t where P is the total principle, i is the rate of interest per year, and t is the total time in years.

So we have

P = $7,500

i = 5%

t = 3 years

I = 7500 * 0.05 * 3

I = 1,125 (Interest)

Now we need to find the amount using A = P + I

A = 7,500 + 1,125

A = 8,625

Therefore $8,625 is our total. While our interest is $1,125.

Answer: The person next to you ate more popcorn.

Step-by-step explanation:

3 divided by 4 is 0.75, which is equivalent to 75%. 4 divided by 5 is 0.8, which is equivalent to 80%. Now that you've calculated the percentages of how much they ate, you can assume that 80 > 75 (80 is greater than 75).

Answer:

The correct answer is

For addition, Caulleen used the words total, sum, altogether, and increase. But we could also have used the words combine, plus, more than, or even just the word "and". For subtraction, Caulleen used the words, fewer than, decrease, take away, and subtract. We also could have used less than, minus, and difference.

Step-by-step explanation:

hope this helps u!!!

Answer:

5.92 × 10^5

Step-by-step explanation:

8.0 × 10²= 800

7.4 × 10²= 740

800 × 740 = 592000

592000 in scientific notation looks like this 5.92 × 10^5

Hope this helps!!

Answer:

5.92 x 10^5

Step-by-step explanation:

The product of the two is 592000 and to do scientific notation you put the decimal after the first number and however many numbers are after that decimal is the number 10 is to the power of.  To know if the exponent after the ten is positive or negative if you move the decimal to the right in order to make it the original number it is positive, and if you have to move it to the left  then you have a negative exponent after the 10.

The inequality graphed on the number line can be written as:

-3 ≤ x < 2

Here we can see an inequality graphed on a number line, we can see that we start with a closed circle at x = -3

A closed circle means that x = -3 is a solution.

And we can see that it ends with an open circle at x = 2, the open circle means that the point is not a solution.

Then the inequality thati is shown in the number line is written as:

-3 ≤ x < 2

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Answer: The answer is D

Step-by-step explanation:

You add z to the other side then it will cancel out which then it would be (w+z)  and then you times it by 2 by both sides which would be 2(w+z) and then you would subtract x from both sides which will be 2(w+z)-x

Hopefully this helps

Answer:

Step-by-step explanation:

From the question, we are told that to find the sum of the two values 319 + 579, but we are to first convert this two numbers to nearest 10 before estimating the sum.

Step 1: Converting 319 and 579 to nearest 10

To convert to nearest tgen means we are to have just one zero at the end of the number. To do this we will check if the last digit of the value is more than 5, if it is we will round up the value preceding the last number by adding 1 to it but if the last digit of the value is not up to 5,  will round not  up the value preceding the last number.

For 319 to nearest 10 is 320 while 579 to nearest 10 is 580. Note that the last value which is 9 is more than 1, hence the reason for the approximation.

Step 2: Taking the sum of the numbers approximated;

320 + 580

= 900

Sum of the numbers without rounding up is 319+579 = 898

The estimate of the real figure (900) when compared to the actual answer (898) is reasonable because the difference in both value is 2 which is not too significant.

Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

Answer: y=−5/4x−5

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

(x-8)^2 + (y-4)^2= 16

Full question attached

Answer explanation attached

Answer:

bottom right histogram fits the distribution

Step-by-step explanation:

we have chosen the bottom right histogram from the options as this fits the distribution best. It can be observed that probability for each outcome from 1(left from the table) increases till 6(right from the table)

The measure of side length x is approximately 8.2 cm

Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c² = a² + b²

The figure in the image is a right triangle.

a = 3.9 cm

b = x

c = 9.1 cm

To solve for side length x, pythagorean theorem:

Plug the values into the above formula and solve for x

c² = a² + b²

b² = c² - a²

b² = 9.1² - 3.9²

b² = 82.81 - 15.21

b² = 67.6

b = √67.6

b = 8.2

Therefore, the value of x is 8.2 cm.

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a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:

square root of 25 is 5

Step-by-step explanation:

√25 = 5×5

Answer: b) f(m)

Step-by-step explanation:

Answer:

x=28

Step-by-step explanation:

sum of all angles im a triangle = 180°

(2x+5) + (4x+10) + (x-31) = 180

7x=196

x=28

Answer:

x = 28°

Step-by-step explanation:

Sum of a triangle is equal to 180°. Firstly you need to form an equation. Add all the angles which equals to 180°.

2x + 5 + 4x + 10 + x - 31 = 180°

Now simply and find the value of x. Add all the x terms and whole numbers.

7x + 5 + 10 - 31 = 180°

7x + 15 - 31 = 180°

7x - 16 = 180°

7x = 180° + 16

7x = 196

x = 196 ÷ 7

x = 28°

So the angles are:

Angle A = 2x + 5

2 x 28 + 5 = 61°

Angle B = 4x + 10

4 x 28 + 10 = 122°

Angle C = x - 31

28 - 31 = -3°