Ana Maria needed to collect data to see why people at her college do not seem to want to join her book club. She decides to walk around the campus and ask people that she meets about the book club.
What data collection method is Ana Maria using?
Convenience sample, simple random sample, cluster sample, or voluntary response sample?

Rewrite the fractions to have a common denominator

2/5 = 6/15

1/3 = 5/15

Add together: 6/15 + 5/15 = 11/15

Subtract from 1:

1-11/15 = 4/15

4/15 of them are ripe

The unit of the rate of change is (b) dollars per month

From the question, we have the following parameters that can be used in our computation:

The table of values

Where we have

y = total amount in dollars

x = number of months

The rate of change is calculated as

Rate  = y/x

substitute the known values in the above equation, so, we have the following representation

Rate = total amount in dollars/number of months

So, we have

Unit = dollars per month

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Answer:

Simplifying

(7y + 27) + (15x + -5) = 125

Reorder the terms:

(27 + 7y) + (15x + -5) = 125

Remove parenthesis around (27 + 7y)

27 + 7y + (15x + -5) = 125

Reorder the terms:

27 + 7y + (-5 + 15x) = 125

Remove parenthesis around (-5 + 15x)

27 + 7y + -5 + 15x = 125

Reorder the terms:

27 + -5 + 15x + 7y = 125

Combine like terms: 27 + -5 = 22

22 + 15x + 7y = 125

Solving

22 + 15x + 7y = 125

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-22' to each side of the equation.

22 + 15x + -22 + 7y = 125 + -22

Reorder the terms:

22 + -22 + 15x + 7y = 125 + -22

Combine like terms: 22 + -22 = 0

0 + 15x + 7y = 125 + -22

15x + 7y = 125 + -22

Combine like terms: 125 + -22 = 103

15x + 7y = 103

Add '-7y' to each side of the equation.

15x + 7y + -7y = 103 + -7y

Combine like terms: 7y + -7y = 0

15x + 0 = 103 + -7y

15x = 103 + -7y

Divide each side by '15'.

x = 6.866666667 + -0.4666666667y

Simplifying

x = 6.866666667 + -0.4666666667y

Step-by-step explanation:

Because I know

The domain of the composite functions:

a). (f + g)(-2) = 23

b). (f - g) (-2) = 1

c). f(x) - g(x) = x² - 5x - 13

A function is composite when the co- domain of the first mapping is the domain of the second mapping

Given the functions f(x) = x² - 4x and g(x) = x + 13, we shall evaluate the domains of the functions as follows:

a). (f + g)(-2) = (-2)² - 4(-2) + (-2) + 13

(f + g)(-2) = 4 + 8 - 2 + 13

(f + g)(-2) = 23

b). (f - g) (-2) = (-2)² - 4(-2) - (-2) - 13

(f - g)(-2) = 4 + 8 + 2 - 13

(f - g) (-2) = 1

c). f(x) - g(x) = x² - 4x - x - 13

f(x) - g(x) = x² - 5x - 13

Therefore, the domain of the composite functions:

a). (f + g)(-2) = 23

b). (f - g) (-2) = 1

c). f(x) - g(x) = x² - 5x - 13

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Answer:

Option 4

Step-by-step explanation:

The domain of this function is the possible values of n that are suitable for this function. Since n represents a number of vehicles, the domain of n should be a whole number (since you cannot have a negative number of vehicles or half of a vehicle).

hope this helps :)

The number of steps they climbed can be represented by positive

From the question, we understand that they climbed up

Upward movements are usually represented by the positive sign

This means that:

Steps = 125 or +125

Hence, the number of steps they climbed can be represented by positive

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Answer:

  C:  y = -(x +3)² -1

Step-by-step explanation:

You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.

For vertex (h, k), the vertex form equation of a parabola is ...

  y = a(x -h)² +k

Given that (h, k) = (-3, -1), the equation will have the form ...

  y = a(x -(-3))² + (-1)

  y = a(x +3)² -1 . . . . . . . . . . matches choice C

The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.

  y = -(x +3)² -1

__

Additional comment

Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.

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All the possible numbers:

numbers greater than 400:

your answers : 527, 572, 725, 752

mrk as brainleist ☺️

Therefore ,the solution of the given problem of triangle comes out to be

area is 84 inch square.

Since a triangle has number of sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker assigned to a triangle that has edges A, B, and C. So when three components are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and triple corners. The points where the three parts meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.

Here,

Given : 7 inch , 25 inch and 24 inch.

To find the area of the triangle :

vertices are 7inch , 25inch and 24inch

Since from given vertices we can see it is an right angle triangle:

thus,

=> Area = 1/2 * base * height

=> Area = 1/2 * 24 * 7

=> Area = 12*7

=> Area = 84 inch square

Therefore ,the solution of the given problem of triangle comes out to be

area is 84 inch square.

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Answer:

Below in bold.

Step-by-step explanation:

We see from the diagram that:

SY = SK + KY

So, substituting the given values:-

36 - x = 13x - 5 + 2x + 9

-x - 13x - 2x = - 5 + 9 - 36

-16x = -32

x = 32/16 = 2.

So SK = 13(2) - 5 = 21.

KY = 2(2) + 9 = 13.

SY = 36 - 2 = 34.

21 + 13 = 34 so this is a check that our calculation is correct.

At least 75% of the data might very well fall between $3.25 and $3.81. According to Chebyshev's theorem, at least 75% of the value systems in a distribution are well within 2 the mean standard deviation.

A delivery has at least 89% of its values inside of three of the mean's standard deviation.

We have the following in this problem:

Mean = $3.53

$0.14 is the standard deviation.

Using Chebyshev's Theorem, determine the range that contains least 75% of the information will live.

2 standard deviations from the mean.

So 3.53 - 2*0.14 = $3.25 becomes 3.53 + 2*0.14 = $3.81.

At least 75% of the data might very well fall between $3.25 and $3.81.

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Answer:

x=2

Step-by-step explanation:

(8x+11)+(14x-1)=54=> 22x +10=54=>22x=44=>x=2

Since the graph was obtained by transforming the graph of the square root function, an equation for the function the graph represent is: \(g(x) = -\sqrt{9(x - 1)} + 2\)

In Mathematics and Geometry, a square root function is a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.

Where:

In this context, the required square root function can be obtained by applying a set of transformations to the parent square root function as follows;

f(x) = √x

g(x) = -√9(x - 1) + 2

\(g(x) = -\sqrt{9(x - 1)} + 2\)

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Answer:

599, 123.72 but am not really sure from that answer

Answer:

599,000

Hope this is also a correct answer...

Answer:

( 2 , − 5 )

Step-by-step explanation:

Answer:

1.56

Step-by-step explanation:

:)

Answer:

1.560

Step-by-step explanation:

3.9 x 0.4

The f(x) of the linear function is:

f(x) = -4x - 7

Since f is a linear function. The general form of a linear function is:

y = mx + b

where y = f(x), m is the slope and b is the y-intercept

Since f (−3) = 5, we have:

x = -3 and y = 5

Substitute into y = mx + b:

y = mx + b

5 = -3m + b ---- (1)

Also, f(5) = −27, we have:

x = 5 and y = -27

Substitute into y = mx + b:

y = mx + b

-27 = 5m + b ---- (2)

Solving (1) and (2) simultaneously by elimination method:

-3m + b = 5

5m + b = -27

-8m = 32

m = 32/(-8)

m = -4

Put m = -4 in (1) and solve for b:

-3x + b = 5

-3(-4) + b = 5

12 + b = 5

b = 5 - 12

b = -7

Put m and b into f(x) = mx + b to get f(x). That is:

f(x) = mx + b

f(x) = -4x - 7

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Answer:

14610856

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

The given point does not satisfy the first equation.

 y = -8(3) -3 = -27

 4 ≠ -27 . . . . . the first equation is not satisfied.

Answer: No

Step-by-step explanation:

Plug x and y into y=-8x-3 and calculate:

4 = -24 - 3

4 ≠ 27

Therefore (3,4) is not a solution of the system of equations.

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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e points on the graph of f(x) where the tangent line has a slope of -5 are   \((1,-13)\) and   \((3,-15).\)

We are given the function: \(f(x) = x^3-6x^2+4x-12\)

To find the points where the tangent line to f(x) has a slope of -5, we need to find where the derivative of f(x) is equal to -5.

Step 1: Find the derivative of f(x)

\(f'(x) = 3x^2 - 12x + 4\)

Step 2: Set f'(x) equal to -5 and solve for x

\(3x^2 - 12x + 4 = -5\)

\(3x^2 - 12x + 9 = 0\)

\(x^2 - 4x + 3 = 0\)

\((x-3)(x-1) = 0\)

\(x = 1 or x = 3\)

Step 3: Find the corresponding y-values for x=1 and x=3

\(y(1) = f(1) = 1^3 - 6(1)^2 + 4(1) - 12 = -13\)

\(y(3) = f(3) = 3^3 - 6(3)^2 + 4(3) - 12 = -15\)

Therefore, the points on the graph of f(x) where the tangent line has a slope of -5 are (1,-13) and (3,-15).

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Answer:

5x+15+2x=24+4x

Step-by-step explanation:

I hope this helps

Each radio requires 2 batteries, and each flashlight requires 6 batteries.

To solve this problem using the substitution method, we need to determine how many batteries each radio and flashlight need. Let's assume the number of batteries needed for a flashlight is represented by 'f', and the number of batteries needed for a radio is represented by 'r'.

From the given information, we can create two equations:

Equation 1: 12f + 6r = 84 (Karen's usage of batteries)

Equation 2: 5f + 10r = 50 (Jin's usage of batteries)

To solve the system of equations, we can use the substitution method. First, we'll solve Equation 1 for 'f' in terms of 'r':

12f = 84 - 6r

f = (84 - 6r)/12

f = 7 - (r/2)

Now, we substitute this expression for 'f' into Equation 2:

5(7 - (r/2)) + 10r = 50

35 - 5(r/2) + 10r = 50

35 - (5r/2) + 10r = 50

35 + (20r - 5r)/2 = 50

35 + 15r/2 = 50

15r/2 = 15

15r = 30

r = 2

Now that we have the value of 'r' as 2, we can substitute it back into Equation 1 to find the value of 'f':

12f + 6(2) = 84

12f + 12 = 84

12f = 72

f = 6

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The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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Answer:

shoes are a pair

Step-by-step explanation:

Answer:

Like algebraic terms are the terms who have the same variables but can have different constants.

For example: 2x

2 is the constant and x is the variable.

The power of the variable has to be exactly same for two like terms.

So, (c): 3x

3

and (d): 4x

3

has powers same i.e. 3.

Step-by-step explanation:

Answer:

10000^3

Step-by-step explanation: