What is the function of the following graph?

The number of ways of selecting a committees of 5 members from  a group of 10 people will be 252

Combination is a method to calculate different ways to select items from a set / group regardless of the order.

ⁿCₓ = n! / (n-x)! x!

Total number of people in group is 10

Number of people require to form committee is 5

By using Combination ,

¹⁰C₅ = 10! / (10 - 5 )! 5!

= 10×9×8×7×6×5! / 5! × 5!

Cancelling 5! from numerator and denominator

= 10×9×8×7×6 / 5!

expanding the factorial

= 10×9×8×7×6 / 5×4×3×2×1

= 252

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-(x)-(-2)-2(x)-2(-1)=8

-x+2-2x+2=8

-x-2x+2+2=8

-3x+4=8

-3x=8-4

-3x=4

[tex]\frac{-3x}{-3} =\frac{4}{-3} \\x=-\frac{4}{3}[/tex]

Answer:

[tex]x=9[/tex]

Step-by-step explanation:

First, let's determine the slope! We know that the line is perpendicular to [tex]y=4[/tex]. This line is just a horizontal line that crosses the y-axis with a slope of 0. The line perpendicular to this will have the form [tex]x=?[/tex]. This is a straight, vertical line with indeterminate slope.

The line passes through the point (9, 12). If the line is going straight up and down, it will intercept every y-value, but only one x-value. The x-value in this ordered pair is 9. Therefore, the equation of the line is [tex]x=9[/tex].

The coordinates on the x-axis (the x-intercepts) and y-axis (the y-intercepts) are;

(a) (i) The point, A = (6, 0)

(ii) The point B = (0, 6)

(b) The point A = (4, 0)

The point B = (0, 3)

The x and y-intercepts are the points at which the graph intersects the x-axis and the y-axis respectively. The coordinates of the points are (x, 0) and (0, y) respectively.

(a) (i) The equation of the line of the graph is; x + y = 6

The x-intercept of the line is at point A

The y-intercept of the line is at point B

At the x-intercept, the y-coordinate is 0, from the equation, x + y = 6, when y = 0, we get;

x + y = 6

x + 0 = 6

x = 6

The coordinate of the x-intercept, A = (6, 0)

(ii) The y-coordinate of the y-intercept is the value c of the equation of the line y = m·x + c

The x-coordinate at the y-intercept is 0

Rearranging the equation, x + y = 6, we get;

y = -x + 6

The y-coordinate at the y-intercept is therefore, c = 6

The point B is therefore; (0, 6)

(b) (i) The equation of the line is 4·y + 3·x = 12

The equation can be rearranged so that we get;

4·y + 3·x = 12

4·y = 12 - 3·x

y = (12 - 3·x) ÷ 4 = 3 - (3/4)·x

y = 3 - (3/4)·x

At the x-intercept, the value of y is 0. Plugging in y = 0 in the equation, y = 3 - (3/4)·x, we get;

0 = 3 - (3/4)·x

3 = (3/4)·x

x = 3 ÷ (3/4) = 4

x = 4,

y = 0 and x = 4, therefore the coordinate of the point A is (4, 0)

(ii) The y-intercept is point B

The x-value at the y-intercept is 0

Plugging the value x = 0 in the equation y = 3 - (3/4)·x, we get;

y = 3 - (3/4)× 0 = 3

x = 0 and y = 3

The coordinate of the point B is (0, 3)

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Answer:

G is correct.

Step-by-step explanation:

[tex] - 2 + 4(5) = - 2 + 20 = 18[/tex]

[tex] - 3( - 2) + 2(5) = 6 + 10 = 16[/tex]

So G (-2, 5) is correct.

To get 1 four, probability is 1/6

To get 2 fours, probability is (1/6)^2

So

To get 5 fours, probability is (1/6)^5 = 0.0001286

Answer:

28 horses

Step-by-step explanation:

336/12=28

because every 12 miles they change the horse.

The solutions of -1 + 3x ≥ 14 are 5 and 8.        

A linear inequality is a Mathematical expression that represents that both sides are not equal. In simple words, we can say that If the relationship makes a non-equal comparison between any two numbers or expressions, then it is known as Linear inequality.

Here we have      

-1 + 3x ≥ 14        

To determine the solutions of a given linear inequality substitute each value of x and check if the value satisfies the given expression

At x = 5 ⇒ -1 + 3(5) ≥ 14  

⇒ -1 + 15 ≥ 14  

⇒ 14 ≥ 14      

∴ x = 5 is a solution to -1 + 3x ≥ 14        

At x = 8 ⇒ -1 + 3(8) ≥ 14  

⇒ -1 + 24 ≥ 14  

⇒ 23 ≥ 14      

∴ x = 8 is a solution to -1 + 3x ≥ 14        

At x = -4 ⇒ -1 + 3(-4) ≥ 14  

⇒ -1 - 12 ≥ 14  

⇒ - 13 ≥ 14   [ which is not true ]  

∴ x = - 4 is not a solution to -1 + 3x ≥ 14        

At x = 2 ⇒ -1 + 3(2) ≥ 14  

⇒ -1 + 6 ≥ 14  

⇒ 5 ≥ 14   [ which is not true ]

∴ x = 2 is a solution to -1 + 3x ≥ 14        

Therefore,

The solutions of -1 + 3x ≥ 14 are 5 and 8    

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The number of elements in the list that are divisible by 10 is 10, 20, 30, 1000, 5000, 60000, etc.

Given:

the number of elements in the list that are divisible by 10. (hint: the number x is divisible by 10 if x % 10 is 0.) div ten

The number is divisible by 10 and the last digit is zero.

suppose take 10:

= 10/10 = 1

It is divisible.

= 10%10

The last digit or remainder is zero.

Therefore the number of elements in the list that are divisible by 10 is 10, 20, 30, 1000, 5000, 60000, etc.

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Answer:

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Cetacea

Answer: 19.25 quarts of milk the baby drink in 4 weeks.

We know 1 week = 7 days

So, 4 weeks = 4*7 = 28 days.

In 1 day baby drinks = 22 ounce

In 28 days baby drinks = 28*22 = 616 ounce.

1 quarts = 32 ounces.

So, 616 ounce = 616/32 = 19.25 quarts.

Answer:22.75

Step-by-step explanation: 26 x 7 x 4 = 728 ounces in 4 weeks

theres 32 ounces in a quart

so 728 over 32 will equal 22.75

The smallest amount that can be charged per box of seeds to make a profit of $409 is $20.125

A profit is the financial gain from a business transaction when the revenue from the transaction exceeds the expenses and taxes.

The function for the profit from the fund raiser is; p = -0.5·x² + 36·x - 113

When the profit is $409, we have;

p = 409 = -0.5·x² + 36·x - 113

-0.5·x² + 36·x - 113 = 409

-0.5·x² + 36·x - 522 = 0

The solutions of the above quadratic function, found using the quadratic formula are as follows;

x = (-36 ± √(36² - 4×(-0.5)×(-522)))/(2×(-0.5))

From which we have;

x = (-36 + √(36² - 4×(-0.5)×(-522)))/(2×(-0.5)) ≈ 20.125

x = (-36 - √(36² - 4×(-0.5)×(-522)))/(2×(-0.5)) ≈ 51.875

Therefore, when the profit is $409, the amount charged are x ≈ 51.875 or x ≈ 20.125

The smallest amount charged when the profit is $409 is therefore;

x ≈ $20.125

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The true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 * 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Answer:

f(- 3) = 16

Step-by-step explanation:

substitute x = - 3 into f(x) , that is

f(- 3) = - 6(- 3) - 2 = 18 - 2 = 16

The width of two-sided confidence interval decreases as the sample size increases and increases as the confidence level increases.

Confidence interval : In Statistic, confidence interval is a range of estimates for unknown parameters.

The formula for the interval can be expressed as:

Confidence Interval (CI ) = X bar +_ Z( S/√n)

Where,

X bar ---> the sample mean

S ---> the sample standard deviation

n --> the sample size Z---> Z-value which comes from normal distribution

From the formula we can conclude the below points about confidence interval :

So, Confidence interval varies with sample mean, confidence level and standard deviations.

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Kareem Abdul-Jabbar scored a total of 38387 point in his career

In math, to multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product.

To find the number of points he had in his total career, we just need to multiply his points per season with the total number of years he spent play game.

This becomes 1919.35 * 20 = 38387 points

He had a total of 38387 points all time in his career

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Answer:

2

Step-by-step explanation:

The equation representing the cost of the canoe rental company is given by y = 30x + 20 .

Let the total cost for renting a canoe be y.

Let the canoe is being rent for x hours.

now the cost for renting the canoe at 30 dollars per hour = 30x

Total cost of renting the canoe = 30x + 20

But the total cost is y.

Hence the equation to represent this situation is given by

y = 30x + 20 which is a straight line of the form y = mx +c, where the slope is 30 and the y-intercept is 20.

Now we will plot the graph for this equation.

At x = 0 , y = 20

At x = 1 , y = 50

At x= -3 , y = -70

Hence the graph of the line passes through these points on the cartesian plane.

The graph of the line is attached below.

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Answer: well about 3

Step-by-step explanation:

father(youngest)mom(middle child)oldest

oldest(youngest)mom(middle child)father

father(middle child)mom(youngest)oldest

hope this helps:)

16

Step-by-step explanation:

[34-16-12]

[18-12]

16

Answer:

Yes, because if you fold it in half, both halves match up.

Step-by-step explanation:

You can fold the figure in half along the x-axis to get a "D" shape

Answer:5.08

Step-by-step explanation:

Answer:

length × width

5×9=45cm²

45cm²×2=90cm²

Tthe total area of the shape is 85 cm².

Rectangle 1:

Length = 9 cm

Width = 5 cm

Area of Rectangle 1 = Length * Width

= 9 cm * 5 cm

= 45 cm²

Rectangle 2:

Length = 8 cm

Width = 5 cm

Area of Rectangle 2 = Length * Width = 8 cm * 5 cm = 40 cm²

Total area of the shape

= Area of Rectangle 1 + Area of Rectangle 2 = 45 cm² + 40 cm²

= 85 cm²

Therefore, the total area of the shape is 85 cm².

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Error free in finding the sum of 2 is 9/30

we need to correct the error and find the sum of 2

= [tex]\frac{5}{6}[/tex]  + ([tex]\frac{-8}{15}[/tex])  

let's find the l.c.m  of both

LCM stands for 'Least Common Multiple'. The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers. It can be calculated for two or more numbers as well. There are different methods to find the LCM of a given set of numbers. One of the quickest ways to find the LCM of two numbers is to use the prime factorization of each number and then the product of the highest powers of the common prime factors will be the LCM of those numbers.

= 25 -16 / 30

= 9/30

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The value of the expression − || 6c − 16b || + 1 if a = −12, b = 34, and c = −23 is - 681.

We that the modulus always gives a positive quantity.

For example: || -5 || = 5, etc.

We are given;

a = −12, b = 34, and c = −23.

We need to find − || 6c − 16b || + 1.

The solution of an algebraic expression is obtained by substituting the given values in the expression.

Substitute the given value in the above expression, we will get;

− || 6c − 16b || + 1

= − || 6 * -23 − 16 * 34 || + 1

=  − || - 138 − 544 || + 1

= − || - 682 || + 1

= − 682 + 1

= - 681

So, the value of − || 6c − 16b || + 1 is - 681.

Thus, the value of the expression − || 6c − 16b || + 1 if a = −12, b = 34, and c = −23 is - 681.

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Answer:

[tex] \rm \implies \frac{1}{3} (5x - 8) + \frac{2}{3} x \\ \\ \rm \implies \frac{5}{3} x - \frac{8}{3} + \frac{2}{3} x \\ \\ \rm \implies \frac{5x + 2x}{3} - \frac{8}{3} \\ \\ \rm \implies \frac{7x}{3} - \frac{8}{3} \\ \\ \rm \implies 2 \frac{1}{3} x - 2 \frac{2}{3} [/tex]

The correct option is option (d).

Using Combination,

Total 120, different samples of size 3 (without replacement) can be taken from a finite population of size 10.

Population size: The population is the entire group of guesses. A sample is a specific group for which you collect data. It is denoted by N.

Sample Size: The sample size is always smaller than the total size of the population. A sample is a subset of the population set. It is denoted by n.

we have given that , n = 3 and N = 10

Using the following formula for calculating the possible number of different samples of size 3 (without replacement) can be taken from a finite population of size 10.

Number of possible different samples of size n from Population size N = NCn = N!/n! (N-n)!

then we have, 10C3 = 10!/3! × 7!

=> 10×9×8/3×2 = 15×8 = 120

Hence, 120 different samples of size 3 (without replacement) is possible from Population of size 10.

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The answer is in the form of whole number is 6 .

Given,

In the question:

The number is given as:

= [tex]7\frac{1}{2} - 1\frac{1}{2}[/tex]

Now, According to the question:

= [tex]7\frac{1}{2} - 1\frac{1}{2}[/tex]

Convert to fraction into mixed fraction:

= 15/2 - 3/2

Calculate the sum or difference:

= 12/2

Cross out the common factor:

= 6

Hence, The answer is in the form of whole number is 6 .

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