f(x)=x^2-8x graphing form

Answer:

Solution given;

total guest =225

She plans to serve 6 oz of pounds

we have

1 oz=0.0625 pounds

6oz=6*0.0625 =0.375 pounds

since

she serve 0.375 Pounds for each

225 guest needs =0.375*225=84.375 pounds

84.375 pounds of pasta will she need to order.

Answer:

I believe the answer would be x<46

Answer:

I'm fairly sure that it would be D, or the final answer.

Step-by-step explanation:

Since he sold more than 45 waffle cones, x would not equal 45. This is why D is correct. Hope it helps!

Relative frequency is the ratio of the number of times a data or outcome occurs to the total outcomes. The relative frequency among the tenth grades students of preferring sporting events round to the nearest tenth is 0.43.

Given information-

In the given table,

The number of ninth grade student who prefer going to sporting events is 9.

The number of ninth grade student who prefer going to movie is 4.

The number of tenth grade student who prefer going to sporting event is 6.

The number of tenth grade student who prefer going to movie is 8.

Relative frequency is the ratio of the number of times a data or outcome occurs to the total outcomes. It can be calculated dividing the number of times an event occurs by the total number of times event occurs.

The total time the combined sporting event and the movies is preferred by the 10th grade student,

\(6+8=14\)

The total time the sporting event is preferred by the 10th grade student is 6. Thus among tenth graders students, the relative frequency \(f_r\) of preferring sporting events can be calculated as,

\(f_r=\dfrac{6}{14}\)

\(f_r=0.4285\)

Round to the nearest tenth,

\(f_r=0.43\)

Thus the relative frequency among the tenth grades students of preferring sporting events round to the nearest tenth is 0.43.

Learn more about the relative frequency here;

https://brainly.com/question/10453208

The graph of g(x) = f(-5x+10) is given in the figure.

A diagram showing the relation between two variable quantities,each measured along one of a pair of axes at right angles.

It is given that f(x) = x^2

and g(x ) = f(-5x+10)

Now putting the value of f(x) in g(x) we get,

g(x)  = f(-5x+10)  = (-5x+10)^2

So, g(x) = (-5x+10)^2

now, making the table for g(x),

x g(x)

0 100

1 81

2 0

3 25

4 100

5 225

Hence,the graph of g(x) = f(-5x+10) is given in the figure.

More about graph :

https://brainly.com/question/11616742

#SPJ1

The graph that correspond to the inequality is the graph in option D

some interpretation on the information from the question include

With the equation: -2x - 3y < 6. Bearing less than, using the guide above, we lookout for graph that have dotted line and shaded above the line

The quality described makes the 4th graph the correct option

other consideration is the intercept

the first equation at x= 0, -2x - 3y < 6  y < -2  (0, -2)

Learn more about inequality interpretation:

https://brainly.com/question/29244324

#SPJ1

The sequence of transformations that maps HIJK to ABCD is sequence B: reflection over line HÌ, then a translation 6 units to the right and 3 units down.

What is quadrilateral ?

A quadrilateral is a polygon with four sides and four vertices. The term "quadrilateral" comes from the Latin words "quadri" meaning "four" and "latus" meaning "side". Quadrilaterals can have different shapes and properties, including rectangles, squares, parallelograms, trapezoids, and kites.

Since quadrilaterals HIJK and ABCD are congruent, we can map one onto the other using a sequence of transformations. We need to determine which of the given sequences of transformations maps HIJK to ABCD.

Sequence A involves a 270° rotation about point J, followed by a translation 9 units to the right and 8 units down.

Sequence B involves a reflection over the line HÌ, followed by a translation 6 units to the right and 3 units down.

To determine which sequence maps HIJK to ABCD, we can apply each sequence to the vertices of HIJK and see if the resulting image matches the vertices of ABCD.

Starting with sequence A, we apply the rotation and translation to the vertices of HIJK:

Vertex H(-2, 1) is rotated 270° about J(-2, 2) to get H'(0, 0). Then we translate 9 units to the right and 8 units down to get H''(9, -8).

Vertex I(-3, -1) is rotated 270° about J(-2, 2) to get I'(1, -3). Then we translate 9 units to the right and 8 units down to get I''(10, -11).

Vertex J(-2, 2) is fixed by the rotation and then translated 9 units to the right and 8 units down to get J''(7, -6).

Vertex K(0, 0) is rotated 270° about J(-2, 2) to get K'(-2, -2). Then we translate 9 units to the right and 8 units down to get K''(7, -10).

The resulting image of HIJK under sequence A has vertices H''(9, -8), I''(10, -11), J''(7, -6), and K''(7, -10). We can see that these vertices do not match the vertices of ABCD, so sequence A does not map HIJK to ABCD.

Next, we apply sequence B to the vertices of HIJK:

Vertex H(-2, 1) is reflected over line HÌ to get H'(-4, 3). Then we translate 6 units to the right and 3 units down to get H''(2, 0).

Vertex I(-3, -1) is reflected over line HÌ to get I'(-1, 1). Then we translate 6 units to the right and 3 units down to get I''(5, -2).

Vertex J(-2, 2) is reflected over line HÌ to get J'(-4, 4). Then we translate 6 units to the right and 3 units down to get J''(2, 1).

Vertex K(0, 0) is reflected over line HÌ to get K'(-2, 2). Then we translate 6 units to the right and 3 units down to get K''(4, -1).

The resulting image of HIJK under sequence B has vertices H''(2, 0), I''(5, -2), J''(2, 1), and K''(4, -1). We can see that these vertices match the vertices of ABCD, so sequence B maps HIJK to ABCD.

Therefore, the sequence of transformations that maps HIJK to ABCD is sequence B: reflection over line HÌ, then a translation 6 units to the right and 3 units down.

To know more about quadrilateral visit :

https://brainly.com/question/29635320

#SPJ1

Answer:

If im not wrong It's the second option

$104, $116

Step-by-step explanation:

Hope this helped !!

Using the absolute value function, the least and greatest amounts that the two friends could spend on food are $98 and $122. so A choice is correct.

The absolute value function is defined by:

f(x) = x, x ≥ 0.

f(x) = x, x < 0.

Hence, the example of the function is:

|x| = a means that x = a or x = -a.

In this given problem, the equation is:

0.5|x - 110| = 6.

Then, removing the 0.5:

|x - 110| = 6/0.5

|x - 110| = 12.

Applying the definition of the absolute value function, we have that

x - 110 = -12 or x - 110 = 12.

For the least amount, we have that;

x - 110 = -12 -> x = $98.

For the greatest amount, we have that;

x - 110 = 12 -> x = $122.

More can be learned about the absolute value function at;

brainly.com/question/24514895

#SPJ5

Answer:

-2a +4

Step-by-step explanation:

-6a + 2(2a + 2)

Distribute

-6a +4a +4

Combine like terms

-2a +4

Answer:

Answer A is correct

Step-by-step explanation:

First Solve the brackets

\( - 6a + 2(2a + 2) \\ - 6 a+ 4a + 4\)

Then combine like terms

\( - 6 a+ 4a + 4 \\ - 2 a + 4\)

Answer:

14

Step-by-step explanation:

Average means the amount over days. So 5110/365 days is 14 customers average each day.

Answer:

14 customers per day on average.

Step-by-step explanation:

number of customers (5,110) divided by days in a year (365) is 14.

Answer:

Step-by-step explanation:

Jenn is the fastest swimmer.

Time and speed is inverse proportion. If speed is more, the time taken will be less. So, who takes less time will be the fastest swimmer

We can tell from the table that Jenn is the fastest swimmer. She has the lowest time and fastest speed

Answer:

Step-by-step explanation:

(-75) x173+173x(-25)

173(-75-25)

173(-100)

-17300

The probability that the average price per gallon of unleaded gasoline is between $2.22 and $2.28 in the Gulf Coast region is 0.8164.

To find the probability, we can use the Central Limit Theorem, which states that the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution, when the sample size is sufficiently large.

In this case, we are given that the population of unleaded gasoline prices in the Gulf Coast region is normally distributed with a mean of $2.25 and a standard deviation of $0.12. Since we have a sample size of 100, which is considered large, we can assume that the sample mean will be approximately normally distributed.

To find the probability that the average price per gallon is between $2.22 and $2.28, we need to standardize the values using the z-score formula:

z = (x - μ) / (σ / √n),

where x is the desired value, μ is the mean, σ is the standard deviation, and n is the sample size.

For $2.22:

z1 = (2.22 - 2.25) / (0.12 / √100) = -0.03 / 0.012 = -2.5.

For $2.28:

z2 = (2.28 - 2.25) / (0.12 / √100) = 0.03 / 0.012 = 2.5.

Next, we need to find the cumulative probability associated with these z-scores using a standard normal distribution table or calculator. The probability between these two z-scores represents the probability that the average price falls within the specified range.

Using a standard normal distribution table or calculator, we find that the probability of a z-score between -2.5 and 2.5 is approximately 0.8164.

Therefore, the correct answer is 0.8164.

Learn more about Central Limit Theorem here:

brainly.com/question/898534

#SPJ11

Answer:

4/90

Step-by-step explanation:

4/9 - 4/10

40/90 - 36/90

4/90

Answer:

4/90

Step-by-step explanation:

butterfly method:

4 * 10 = 40.

4 * 9 = 36.

40 - 36 = 4.

= 4/90.

hope this helps.

The extruder capacity is 2x10^6 N, which is greater than |F|, so the 200-tonne extruder is capable of carrying out this extrusion process.

To determine the minimum extrusion force (F) required for the hot extrusion process, we can use the homogeneous work model equation:

F = σyA0ln(I1/I0)

Given:

Diameter before extrusion (D0) = 80 mm

Diameter after extrusion (D1) = 20 mm

Yield strength (σy) = 130 MPa

First, we need to calculate the cross-sectional areas before and after extrusion.

A0 = π(D0/2)^2

A1 = π(D1/2)^2

Substituting the values, we get:

A0 = π(80/2)^2

= π(40)^2

= 1600π mm^2

A1 = π(20/2)^2

= π(10)^2

= 100π mm^2

Next, we need to calculate the lengths before and after extrusion.

I0 = π(D0)^2

I1 = π(D1)^2

I0 = π(80)^2

= 6400π mm

I1 = π(20)^2

= 400π mm

Now, we can substitute the values into the equation:

F = σyA0ln(I1/I0)

= (130 MPa)(1600π mm^2)ln(400π mm / 6400π mm)

Simplifying:

F = (130 MPa)(1600π mm^2)ln(1/16)

= (130 MPa)(1600π mm^2)(-2.7726)

≈ -719932.12π MPa mm^2

Therefore, the minimum extrusion force required is approximately -719932.12π MPa mm^2.

To determine whether a 200-tonne (2x10^6 N) capacity extruder is capable of carrying out this extrusion, we need to convert the force to newtons:

F (in newtons) = -719932.12π MPa mm^2 * 1 N/1 MPa mm^2

= -719932.12π N

Since the force is negative, we can take the absolute value to compare it with the extruder capacity:

|F| ≈ 719932.12π N

The extruder capacity is 2x10^6 N, which is greater than |F|, so the 200-tonne extruder is capable of carrying out this extrusion process.

To know more about capacity visit

https://brainly.com/question/3212823

#SPJ11

Here to solve the probability of this sum, it is difficult to say that the probability without no information.

(a)The probability that the team wins the debate with a junior giving the closing argument is 0.083.

(b) To design a simulation to estimate the probability that a sophomore is never selected to give the closing argument in the next 3 debates, one could randomly assign a closing argument speaker for each debate using a table of random digits. The table would have two columns: one for sophomores and one for juniors and seniors. The probability of a sophomore being selected would be 20%, and the probability of a junior or senior being selected would be 80%. The simulation would be run for 3 debates and the number of times a sophomore is never selected would be recorded. This process would be repeated a number of times to estimate the probability of a sophomore never being selected. (e) Based on the dot plot, it appears that there is some evidence that the sophomores were purposely ignored, as there are several simulated sets of 5 debates where a sophomore was not selected to give the closing argument. However, without more information, it is difficult to say for certain if this is enough evidence to support the claim that the sophomores were purposely ignored.

A larger sample size or a more detailed analysis of the simulation results may be needed to make a more convincing determination.

To learn more about the Probability Visit : brainly.com/question/30034780

#SPJ4

The complete options are P(opposed the tax or is female) = 0.28, b. P(supports the tax or is male) = 0.15, c. P(is not unsure or is female) 0.025.

Probability refers to a possibility that deals with the occurrence of random events.

(a) The probability that the person opposed the tax or is female.

P(opposed the tax or is female) = 298 / 1052 = 0.28

(b) The probability that the person supports the tax or is male.

P(supports the tax or is male) = 168/1052 = 0.15

(c) The probability that the person is not unsure or is female.

P(is not unsure or is female) = 27 / 1052 = 0.025

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ1

Answer:

Step-by-step explanation:

We can solve this in either of two approaches:  Mathematically or Graphically.

Mathematically

y=-(3/4)(x-4)^2+12  where y is the height of the ball, and x is the time, in seconds.

We want to know how many seconds for the height to be 0, so y=0.

0 = -(3/4)(x-4)^2+12

-12 = -(3/4)(x-4)^2

12*(4/3) = (x-4)^2

16 = (x-4)^2

x = 8 and 0 (the initial point).]

It will reach the ground in 8 seconds

Graphically

Plot the function and find the time, x, when the graph passes through the x axis (after t = 0).  Attached.

Answer:

Step-by-step explanation:

a

hi

if the twi lines are  parallel , they have the same slope.

So  slope  is   1/2.  

equation of a line is  :  mx +p

The line goes throught  (-2 ; 4)

We have    1/2 ( -2)  + p =  4

                   -  2/2  +p = 4

                   -1 +p = 4

                       p = 4+1

                       p = 5

equation of the line  is   y = 1/2x +5

The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.

The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.

To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.

Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.

To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.

Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.

If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.

To learn more about chi-square click here: brainly.com/question/32379532

#SPJ11

Answer:

Step-by-step explanation:

We can tell that 4x - 6 is equal to 2x + 60 because they are vertically opposite angles. Now, let's solve.

Since we have found the required variable, we can now solve the indicated variables.

Given angles:

Let's solve 4(33) - 6 first.

Therefore, 4(33) - 6 measures about 126°. Now, let's solve 2(33) + 60.

We can clearly see that both angles are equal (126 = 126) Because of vertically opposite angles.

Conclusion:

Therefore, the required variable is 'x = 33' and when we substitute the variable in both angles, we find that both angles show 126°.

Hoped this helped.

\(BrainiacUser1357\)

We must conclude that there are infinitely many primes of the form 3k + 2, where k is a non-negative integer.

To adapt the proof:

We can use a similar contradiction argument.

Suppose that there are only finitely many primes of the form 3k + 2, say p1, p2, ..., pn.

Let N = 3p1p2...pn + 2. Note that N is of the form 3k + 2 for some non-negative integer k.

Now, let's consider the prime factorization of N. Either N is prime and of the form 3k + 2, in which case we have found a new prime of the desired form, contradicting our assumption that there are only finitely many such primes. Or, N is composite and has a prime factorization consisting only of primes of the form 3k + 1 (since any prime of the form 3k + 2 would divide N). But this implies that N itself is of the form 3k + 1.

Now, let's consider the number M = 3N + 2. M is also of the form 3k + 2, and so must have a prime factorization consisting only of primes of the form 3k + 1. But since N is of the form 3k + 1, we have

M = 3(3p1p2...pn + 1) + 2 = 9p1p2...pn + 5. This means that M has a prime factorization consisting of primes of the form 3k + 2, which contradicts our assumption that there are only finitely many such primes.

Therefore, we must conclude that there are infinitely many primes of the form 3k + 2, where k is a non-negative integer.

To know more about Integer:

https://brainly.com/question/27908445

#SPJ11

Answer: To find the rate at which the volume of the box is changing, we need to find the derivative of the volume with respect to time, which is the rate of change of the volume with respect to time.

The volume of the box is given by the equation:

V = x^2 * h

To find the rate of change of the volume, we need to find the derivative of this equation with respect to time:

dV/dt = d/dt (x^2 * h)

= 2x * dx/dt * h + x^2 * dh/dt

At the moment when the edge length of the base is 12 cm and the height of the box is 6 cm, we can substitute the values into the equation:

dV/dt = 2 * 12 * (-2) * 6 + 12^2 * 1

= -144 + 144

= 0

So the rate at which the volume of the box is changing is 0 cm^3/min, which means the volume of the box is not changing.

Step-by-step explanation:

Answer:

I think it is 4.48.

Explain:

6.16/22 is 0.28    Then 0.28 times 16 is 4.48.

Can I get a Brainliest?

To find the critical points of the function f(x) = x^3 - 12x and their corresponding y-coordinates, we need to determine the values of x where the derivative of the function is equal to zero.

To find the critical points, we first calculate the derivative of f(x) with respect to x, which is f'(x) = 3x^2 - 12. Then, we set f'(x) equal to zero and solve for x:

3x^2 - 12 = 0

Simplifying the equation, we get:

x^2 - 4 = 0

Using the quadratic formula or factoring, we find that x = 2 and x = -2 are the solutions. These are the x-coordinates of the critical points.

To determine the y-coordinates, we substitute these x-values back into the original function:

For x = 2, y = f(2) = (2)^3 - 12(2) = -16

For x = -2, y = f(-2) = (-2)^3 - 12(-2) = 16

Therefore, the critical points of f(x) = x^3 - 12x are (2, -16) and (-2, 16), where the x-coordinate represents the critical point and the y-coordinate represents the corresponding value of the function at that point.

To learn more about critical points click here :

brainly.com/question/32077588

#SPJ11

Answer:

16%

Step-by-step explanation:

$16.8

The Negative solution is -4 or Negative number is -4

The difference of the square of a number and 36 is equal to 5 times that number.

To find the negative solution.

Now, According to the question:

Let the unknown number be = x

Given that:
\(x^{2} -36 = 5x\\\\x^{2} -5x-36=0\\\)

Factories the above Equation:

\(x^{2} -9x+4x-36=0\\\\\)

x (x - 9) + 4 (x - 9) = 0

(x + 4) (x - 9 ) = 0

x + 4 = 0 and x - 9 = 0

x = -4 and x = 9

Hence, The Negative solution is -4

What is Factories Method?

Factorization is the process of reducing the bracket of a quadratic equation, instead of expanding the bracket and converting the equation to a product of factors which cannot be reduced further.

Learn more about Factorization at:

https://brainly.com/question/20293447

#SPJ1

Answer:

No its not a right angle.