What function equation is represented by the graph?


A) f(x) = -3x + 6
B) f(3) = 3.2 + 6
C) f(x) = -3x - 6
D) f(x) = 3x - 6

Answer:

5.4 cm

Step-by-step explanation:

Hope it helps you in your learning process

the mean value that you would expect to get when rolling a fair 10-sided die many times is 5.5.

For a fair 10-sided die, each side has an equal probability of 1/10 of being rolled.

The mean value, also known as the expected value, can be calculated by taking the average of all possible outcomes, weighted by their probabilities.

In this case, the possible outcomes are the numbers 1 to 10, each with a probability of 1/10.

To calculate the mean, we multiply each outcome by its probability and sum them up:

Mean = (1/10) * 1 + (1/10) * 2 + (1/10) * 3 + ... + (1/10) * 10

Mean = (1/10)(1 + 2 + 3 + ... + 10)

The sum of the numbers from 1 to 10 can be found using the formula for the sum of an arithmetic series:

1 + 2 + 3 + ... + 10 = (10/2)(1 + 10) = 55

Substituting this value:

Mean = (1/10)(55) = 5.5

Therefore, the mean value that you would expect to get when rolling a fair 10-sided die many times is 5.5.

Learn more about Mean here

https://brainly.com/question/32056327

#SPJ4

Answer:

A: -5

B: 2

Step-by-step explanation:

The event containing the outcomes belonging to a or b or both is the union of a and b.

Let us consider two sets a and b, and say events or the elements in set a are: (x, y, z), and the elements in set b are: (o, p, q)

The union of these two sets will give:

aUb=(x, y, z, o, p, q)

Now, a union of two sets (denoted by U), for our case a and b, is the set or event containing the elements belonging to a or b or both the elements in a and b altogether.

Thus, the even containing the outcomes belonging to a or b or both in a and b altogether is the union of a and b.

Learn more about union of a set here:

https://brainly.com/question/23337676

#SPJ4

Answer:

Factoring

Step-by-step explanation:

When we are solving a quadratic equation by the factorization method, each factor is set as being equal to zero.

The solution of each bracket of factors gives the root of the quadratic equation.

For example;

x2 + 16 = 10x

We now have;

x2 - 10x + 16  = 0

x2 - 8x - 2x + 16 = 0

x(x - 8) -2(x - 8) = 0

(x-2) (x-8) = 0

(x-2) = 0

Then x = 2

Or

(x-8) = 0

x = 8

Hence;

x = 2 or x= 8

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Points need to be above and below a line of best fit.

We fill out the third row of the table as follows:         Critical point(s)          Maximum          Minimum    f(0, y)    (0,y) for y ∈ [0,1]     0     0

The given task appears to be a problem from multivariable calculus, concerning finding critical points, maxima, minima of a function f, restricted to a region R.

We need to determine the value of fat all critical point (s) in R, and record the maximum and minimum values of f evaluated at the critical point(s) in the top row of the table.

Also, find the maximum and minimum value of f on the boundary of R.

Further, we need to find a formula for FB(x) = f(x, 0) and find its critical points, evaluate FB at its critical points, and evaluate FB at its endpoints and fill the second row of the table.

Similarly, we need to find a formula for Ft(u) = f(0,y), find its critical points, evaluate FL at its critical points, and evaluate FL at its endpoints and fill out the third row of the table.(2)

To find critical points of a function f of two variables, we need to find all points (x,y) where ∇f(x,y)=0 or where the gradient does not exist.

Here, f(x,y) is defined on R, so its interior is R itself.

Hence, we need to find all critical points in R.

Once we find the critical points, we need to evaluate f at each critical point, and record the maximum and minimum values of f in the top row of the table.

If there are no critical points, then the top row should be left blank.(3)

Since the domain of f is R, its boundary is the curve (0, y), (x, 0), and (x, 1 - x) for 0 ≤ x ≤ 1.

We need to evaluate f at each endpoint of this curve and record the maximum and minimum values in the third row of the table.(a)

To find a formula for FB(x) = f(x,0), we just need to set y = 0 in the definition of f, which gives us f(x,0) = x².

Now, we need to find critical points of FB, which are nothing but critical points of f(x,0) = x².

Here, f'(x) = 2x, so the only critical point of f(x,0) = x² is x = 0.

Evaluating FB at its critical point, we get FB(0) = 0.

Finally, we need to evaluate FB at the endpoints x = 0 and x = 1, which gives us FB(0) = 0 and FB(1) = 1.

Hence, we fill out the second row of the table as follows:          Critical point(s)          Maximum          Minimum     f(x, 0)     0     1     0(b)

To find a formula for FL(u) = f(0,y), we just need to set x = 0 in the definition of f, which gives us f(0,y) = 0. Hence, FL(u) is a constant function, and its critical points are at every point (0,y) for y ∈ [0,1].

Evaluating FL at its critical points, we get FL(0,y) = 0 for every y ∈ [0,1].

Finally, we need to evaluate FL at the endpoints y = 0 and y = 1, which gives us FL(0,0) = 0 and FL(0,1) = 0.

Hence, we fill out the third row of the table as follows:         Critical point(s)          Maximum          Minimum    f(0, y)    (0,y) for y ∈ [0,1]     0     0

Visit here to learn more about constant function brainly.com/question/2292795

#SPJ11

The appropriate reasons for each. are:

1. Rational/The sum of two rational is always rational

2. Irrational/ the sum of a rational and an irrational is always irrational

3. Irrational/The product of a nonzero rational and an irrational is always irrational

4. Rational/The product of two rational is always rational

A rational number is simply a number that can be written as a fraction of two integers, as long as the denominator is not equal to zero. There are numerous rational numbers, like 1/2, -3/4, and 5, for instance.

Rational numbers comprise of both whole numbers and fractions while the irrational numbers, on the other hand, are those that bear radical signs above them. Once you have known if the two numbers are rational or irrational, the solution can be found among the other area of the solutions.

Learn more about   Rational sum from

https://brainly.com/question/12088221

#SPJ1

We need to choose n to be at least 716 to ensure that the trapezoidal rule approximation is accurate to within 0.00001.

To use the error bound in section 5.9 of the course text, we need to find the second derivative of the function f(x) = sin(x) and evaluate it at the point x = π. We have:

f(x) = sin(x)

f''(x) = -sin(x)

Therefore, |f''(x)| = |sin(π)| = 1.

Using the trapezoidal rule with n subintervals, we have:

tn = h/2 * [f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]

where h = (b-a)/n is the width of each subinterval, a = 0, b = π, and n is the number of subintervals.

The error bound for the trapezoidal rule is given by:

|E| ≤ K * (b-a)^3 / (12 * n^2)

where K is an upper bound on |f''(x)| over the interval [a,b].

Substituting the values, we get:

|E| ≤ (1/12) * (π-0)^3 / n^2

We want the error to be less than or equal to 0.00001, so we have:

(1/12) * (π)^3 / n^2 ≤ 0.00001

Solving for n, we get:

n^2 ≥ (1/12) * (π)^3 / 0.00001

n^2 ≥ 510966.9135

n ≥ √510966.9135

n ≥ 715.04

For more similar questions on trapezoid:

https://brainly.com/question/14915665

#SPJ11

The importance and advantage of using graph representation when organizing your data are that it makes data presentable, summarizing, better way of comparison of data.

An organized diagram or pictorial representation of the relationship between values or data is referred to as a graph. it is a a diagram that depicts a variable's variation in comparison to that of one or more other variables, such as a series of points, lines, line segments, curves, or areas.

The following are the three advantages of graphs:

Know more about graphs here: https://brainly.com/question/17267403

#SPJ4

Answer:

To graph the equation of a line written in slope-intercept (y=mx+b) form, start by plotting the y-intercept, which is the b value. The y-intercept is where the line will cross the y-axis, so count up or down on the y-axis the number of units indicated by the b value.

The graph of the line does not change except only in the y - intercept. The slope of the line remains same.

        y = mx + c

        [m] : slope of line.

        [c] : y - intercept

Given is that the y-intercept of the graph of the line is moved down by three units.

Since the equation of the line is not given, we can assume it as -

y = mx + c

If the y-intercept is moved down 3 units, we can write -

y + 3 = mx + c

y = mx + (c - 3)

So, the graph of the line does not change except only in the y - intercept. The slope of the line remains same.

Therefore, the graph of the line does not change except only in the y - intercept. The slope of the line remains same.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

the value of a will be 15 in equation 3 a plus b equals 54 when b equals 9.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given, equation 3 a plus b equals 54 when b equals 9

In numerical form,

3a + b = 54

and b = 9

Comparing these equations

3a + 9 = 54

3a = 45

a = 15

Therefore, the value of a will be 15 in equation 3 a plus b equals 54 when b equals 9.

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ1

Answer:mode is 0

`

Step-by-step explanation:mode is the most repeated value

38% of 124 is 47.12% and 138% of 124 is 171.12%

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that, we need to find 38% and 138% of 124,

a) Percentage = 38 / 100 × 124

= 38 × 124 / 100

= 4712 / 100

= 47.12%

b) Percentage = 138 / 100 × 124

= 138 × 124 / 100

= 17112 / 100

= 171.12%

Hence, 38% of 124 is 47.12% and 138% of 124 is 171.12%

Learn more about Percentage, click;

https://brainly.com/question/29306119

#SPJ1

7/8 = x/56

x = 7 x 7

so, 49/56 = rod

so, 49 pieces will be made

hope it helps :)

The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

Learn more about Functions here :

https://brainly.com/question/29067911

#SPJ1

Answer:

30in³

Step-by-step explanation:

You just need to use l*w*h (length*width*height). The length is 5, the width is 2, and the height is 3. So, 5*2*3 would be 30.

Answer:

Rate of interest (R) = 6.5 % per year

Step-by-step explanation:

Given:

Amount borrow(P) = $2300

Amount (A) = $2748.50

Number of month(T) = 36 month = 3 year

Find:

Rate of interest (R)

Computation:

Simple interest (I) = Amount (A) - Amount borrow(p)

Simple interest (I) = $2748.50 - $2300

Simple interest (I) = $448.50

Simple interest (I) = PRT

$448.50 = ($2300)(R)(3)

0.065 = R

Rate of interest (R) = 6.5 % per year

The rate of interest that should be charged is 6.5%.

Given that,

Based on the above information, the calculation is as follows:

Simple interest = Amount - Amount borrow

= $2748.50 - $2300

= $448.50

Now  

Simple interest  = PRT

$448.50 = ($2300)(R)(3)

0.065 = R

Learn more: brainly.com/question/17429689

Answer:

C

Step-by-step explanation:

\(-5x - 2(x + 3) \leq 4 - 3x \\ \\\to -5x - 2x - 6 \leq 4 - 3x \\ \\\to -7x - 6 \leq 4 - 3x \\ \\\to -10 \leq 4x \\ \\\to -2.5 \leq x\)

Answer:

b

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

set up like 240-120

240-120=120

120 divided by 2 equals 60

therefor, the angle is 60 degrees

The required coordinate of point H is given as (d+c, b), as per the given condition.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

Here,
As point H is collinear with point G so the y coordinate of the Point H is equal to y coordinate point G,
So
Y coordinate of point H = b

Now,
x coordinate of point H is given as,
Line GH is parallel with LINE FE
So, x-coordinate = FE = d-(-c) = d+ c

Thus, the required coordinate of point H is given as (d+c, b), as per the given condition.

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ1

Simplifying

f(x) = 6x5 + 5x4 + 4x

Multiply f * x

fx = 6x5 + 5x4 + 4x

Reorder the terms:

fx = 4x + 5x4 + 6x5

Solving

fx = 4x + 5x4 + 6x5

Solving for variable 'f'.

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

Divide each side by 'x'.

f = 4 + 5x3 + 6x4

Simplifying

f = 4 + 5x3 + 6x4

The number of ways to select 21 ice cream cones from 8 flavors is 0.

To find the number of ways to select 21 ice cream cones from 8 different flavors, we can use the concept of combinations.

We want to choose 21 cones out of 8 flavors, where order does not matter. This is a combination problem.

The formula for combinations is given by:

C(n, r) = n! / (r!(n - r)!)

where n is the total number of items to choose from, and r is the number of items we want to select.

In this case, we have n = 8 (number of flavors) and r = 21 (number of cones to select).

Using the combination formula, we can calculate the number of ways to select 21 ice cream cones from 8 flavors:

C(8, 21) = 8! / (21!(8 - 21)!)

However, since 21 is greater than 8, the combination is not possible. Selecting 21 cones from only 8 flavors is not feasible.

Know more about combination here:

https://brainly.com/question/31596715

#SPJ11

In this case, with 500 defects and a sample size of 40 units of output, the center line would be 12.5 defects per unit of output.

To determine the center line for monitoring the average number of defects per unit of output, we divide the total number of defects by the sample size. In this scenario, the sample consists of 40 units of output, and there are 500 defects.

Therefore, the center line would be calculated as 500 defects divided by 40 units of output, resulting in an average of 12.5 defects per unit of output. This center line serves as a reference point for monitoring and comparing future defect rates.

If the average number of defects per unit of output exceeds this center line, it may indicate a need for process improvements or corrective actions.

Learn more about sample size:

brainly.com/question/30100088

#SPJ11

Answer:

22/1 = x/3

Step By Step:

Hope this helps you out in figuring the answer ;]

Answer: i looked up the table so the equation is... 22/1=x/3

x=66

Step-by-step explanation:

Next time include the table but at least it was online!

How to solve: 22 miles per 1 gallon (unit rate) = _(x/?)_ miles per 3 gallons

Cross multiply: 66=1x

x=66

OR 22*3=66, x=66

Answer:

The first step is adding two to both sides to further isolate the variable.

Step-by-step explanation:

You want m/5=10 so you can multiply 5 on both sides and find what m equals which is 50 in this instance.

Answer:

Step-by-step explanation:

m/5 -2=8 I would first add 2 to both sides

m/5=10 Then multiply both sides by 5 to clear out the fraction.

m=50