what is an equivalent expression for 3(x-9) ?

A function is a relation between a set of inputs and a set of possible outputs, where each input is uniquely associated with a single output.the average rate of change of f(x) over the interval  \([-3, 3]\)  is:

\((6 - (-12)) / 6 = 18/6 = 3\) Thus, option C is correct.

The average rate of change of a function over an interval is given by the difference in the function values at the endpoints of the interval, divided by the length of the interval.

Therefore, to find the average rate of change of  \(f(x) = − + 3x + 6\) over the interval  \(−3 ≤ x ≤ 3\), we need to evaluate the function at the endpoints of the interval and then divide by the length of the interval.

\(f(-3) = + 3(-3) + 6 = -9 - 9 + 6 = -12\)

\(f(3) = + 3(3) + 6 = -9 + 9 + 6 = 6\)

The length of the interval is 3 - (-3) = 6.

Therefore, the average rate of change of f(x) over the interval   \([-3, 3]\) is:

\((6 - (-12)) / 6 = 18/6 = 3\)

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The algorithm completes in an acceptable amount of time because it will draw n forms in around n2 steps.

A mathematical algorithm is a process that describes a series of steps that can be used to accomplish a mathematical computation. A typical illustration of a mathematical algorithm would be the step-by-step process used in long division. A set of instructions called an algorithm is used to solve a problem or complete a task. An algorithm is a set of instructions that spells out how to carry out a task. An algorithm can be thought of as a series of detailed instructions that result in a predictable pattern in a set of numbers or in lines of code.

given

Which of the following best describes the algorithm for drawing n forms, where n is a very big number  based on the numbers in the table.

Because it will take around n2 steps to draw n forms, the algorithm completes in a fair length of time.

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9.6 quarts

First, find the unit rate, which is that when you divide 16 and 5 and you will get 3.2, then you multiply it with 3 for the 3 flower pots, and that's how you end up with the answer

Bob needs to run at a speed of at least 10.39 feet per second to catch the elevator.

To catch the elevator, Bob needs to reach the door before it fully closes, which means he needs to cover the distance of 4.3 - 0.6 = 3.7 feet in the time it takes the door to close. We can use the formula:

distance = rate x time

to find the time it takes for the door to close, and then use this time to find the speed that Bob needs to run. Let's set up the equation:

3.7 = 1.2t

where t is the time it takes for the door to close.

Solving for t, we get:

t = 3.7/1.2 = 3.08 seconds

Now we can use the formula again to find the speed that Bob needs to run:

speed = distance / time

speed = 32/3.08

speed = 10.39 feet per second (rounded to the nearest hundredth)

Therefore, Bob needs to run at a speed of at least 10.39 feet per second to catch the elevator.

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The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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answer:

choice letter b

The rule each sister wrote should be matched with the diagram that represent the rule as follows;

Ella  ⇒ p = 2t + 2.

Della ⇒ p = 2(t + 1)

Stella ⇒ p = 2(t - 1) + 4

In Mathematics and Geometry, a linear function refers to a type of function whose equation is graphically represented by a straight line on the cartesian coordinate (graph).

Assuming the variable t represent the number of smaller tables pushed together and the variable p represent the number of people that can be seated, a linear function (rule) that models the thinking of each sister can be written as follows;

Ella  ⇒ p = 2t + 2.

When t = 1, the value of p is given by;

p = 2(1) + 2 = 4.

When t = 2, the value of p is given by;

p = 2(2) + 2 = 6.

When t = 3, the value of p is given by;

p = 2(3) + 2 = 8.

For Della, we have:

p = 2(t + 1)

When t = 1, the value of p is given by;

p = 2(1 + 1) = 4.

When t = 2, the value of p is given by;

p = 2(2 + 1) = 6.

When t = 3, the value of p is given by;

p = 2(3 + 1) = 8.

For Stella, we have:

p = 2(t - 1) + 4

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Answer:

y-7=-13(x-5)

Step-by-step explanation:

y-y1=m(x-x1)

y-7=-13(x-5)

The common factor for the given polynomial is 2x.

A factor is a number that divides another number, leaving no remainder.

Given is a polynomial, 20x³-14x

20x³-14x

= 2x(10x²-7)

Hence, the common factor for the given polynomial is 2x.

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Answer:

7 months and then he ways 38 pounds

Step-by-step explanation:

5x7=35 so it would have to be at least 7 months since 6 months = 30 pounds and then plus the 3 pounds he ways now it would be 33 pounds witch is short so we have to go to 7 months

The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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The length CT of the line segment is 38 units

From the question, we have the following parameters

CJ = 9x + 1

JT = 2x + 15

Also, we understand that:

Point J is the midpoint of segment CT.

This means that

CJ = CT

So, we have

9x + 1 = 2x + 15

Evaluate the like terms

7x = 14

So, we have

x = 2

Length CT is calculated as

CT = 9x + 1 + 2x + 15

So, we have

CT = 9 x 2 + 1 + 2 x 2 + 15

Evaluate

CT = 38

Hence, the length is 38 units

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Answer:

330 cubic inches

Step-by-step explanation:

The formula for a rectangular prism is l x w x h

so, let's input the numbers:

2 x 15 x 11

and solve:

330

So, the volume of a rectangular prism is 330 cubic inches

Answer: Y= 7, X= 6

Step-by-step explanation:

Answer:

depends on how many miles you can go on 1 mile.

Answer:

you can go around 840-1680

Step-by-step explanation:

1 gallon = 30-60 miles

28x30=840 miles

28x60=1680 miles

Your welcome

Answer:

0.1 ounce

Step-by-step explanation:

5  cookies = 0.5 ounces

1 cookie = 0.5 / 5 = 0.1 ounce

The value of  (x - µ) / σ is the z factor.

We have:

x is the random number

µ is the mean

σ  is the standard deviation,

Now,

we need to evaluate, (x - µ) / σ

(x - µ) / σ = z factor

The Z factor is computed by dividing the dynamic range by the separation band (i.e., the difference between the sample mean and the control mean).

The difference in a value's z-score between it and the set mean is measured in standard deviations. By deducting the value from the mean and dividing the result by the standard deviation, you may determine it.

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Answer:

he needs 9 cans

Step-by-step explanation:

first,

43L/5L

= 8.6 cans

8.6 cans is not logical therefore u need to round up to 9 cans

The value of x is 43.2

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.

25/40 = 27/x

cross multiply.

25*x = 25x

40*27 = 1080

25x = 1080

divide by 25 both sides.

25/25 = 0

1080/25 = 43.2

x = 43.2

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Answer:

144$

Step-by-step explanation:

Do 120+20%, because you already have 80%, so you need to add the other 20%.

Hope this makes sense. If not, tell me and I will fix it for you.

Answer:

The original price was $150

Step-by-step explanation:

$120 and 80% symbolize eachother. There is 20% missing from 80% and $120. To find the 20%, divide 80% by four and divide 120 by four to get $30.

$30 is the 20% we were missing. then, we add those to the already existing numbers. $120+$30=$150 and 80%+20%=100%.

Answer:

a² + b² + c² - 2ab + 2bc - 2ac

Step-by-step explanation:

Answer:

\(b=\frac{c+2}{a}\:\)

Step-by-step explanation:

\(ab-c=2\\\\\add(c)\\\\ab=2+c\\\\divide(a)\\\)

\(\frac{c+2}{a}\:\)

Answer:

23

Step-by-step explanation:

23-23

The rejection region for the hypothesis testing problem and the generalized likelihood ratio test depends on the significance level and requires further calculations or assumptions.

To determine the rejection region for the hypothesis testing problem and the generalized likelihood ratio test, let's go through each step:

Step 1: Hypotheses

H0: θ = θ0 (null hypothesis)

H1: θ ≠ θ0 (alternative hypothesis)

Step 2: Likelihood Function

The likelihood function for the given exponential distribution is:

\(L(θ) = Π[θe^(-θxi)] from i = 1 to n\)

     = \(θ^n * e^(-θΣxi)\)

Step 3: Log-Likelihood Function

Taking the natural logarithm of the likelihood function, we get:

ln[L(θ)] = nln(θ) - θΣxi

Step 4: Rejection Region (Using Neyman-Pearson Lemma)

For a given significance level α, we reject the null hypothesis if the likelihood ratio λ(x) is less than or equal to some constant c. The likelihood ratio is defined as:

λ(x) = sup(L(θ | x)) / sup(L(θ0 | x))

For a two-sided test, the rejection region consists of values of x that make the likelihood ratio either too small or too large.

For the exponential distribution, the likelihood ratio is:

\(λ(x) = (θ/θ0)^n * e^(-θΣxi)\)

To find the rejection region, we need to determine the critical values for the likelihood ratio.

(1) Rejection Region using the Likelihood Ratio Test:

If λ(x) ≤ c, we reject the null hypothesis H0.

(2) Rejection Region using the Generalized Likelihood Ratio Test:

If λ(x) ≤ c1 or λ(x) ≥ c2, we reject the null hypothesis H0.

The specific values for c, c1, and c2 depend on the significance level and distribution of the test statistic, which requires further calculations or assumptions.

Please note that additional information or specific values are needed to determine the rejection region for this hypothesis testing problem and the generalized likelihood ratio test.

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A continuous graph is depicted by the given graph with the plotted points.

When trying to find out if a graph is continuous or discrete what we are basically checking is if all the points are connected. Now, If the line is connected between the start and the end, we will say that the graph is continuous. However, If the points are not connected we will say that the graph is discrete.

Furthermore, a discrete graph is said to be one with different scattered points. This means that they may or may not depict a direction or trend and they don't have data in between the points that are given. Meanwhile, a continuous graph has a line because it means that there is data in between the points that are already given.

Now, from the given graph, we see that the points are not scattered and instead they will follow a straight line and from definitions above, we can say that it is a continuous graph.

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Answer:

Continuous

Step-by-step explanation:

Answer:

-19-28i

Step-by-step explanation:

Answer:

-19-28i

Step-by-step explanation:

Answer:

86.1 I believe because I'm assuming you meant 2.87

At x equals -5 and x equals 3 our function is discontinuous.

We have been given a rational function:

f(x) = \(\frac{x^{2}+7x+1 }{x^{2} +2x-15}\)

We are asked to find the points at which our function is discontinuous.

A rational function is discontinuous when the function is undefined or the denominator is zero.

Let us find what values of x will make our denominator zero.

\(x^{2} +2x-15=0\)

We will use factoring to find the zeros of x. By splitting the middle term we will get,

\(x^{2} + 5x - 3x -15=0\\\\x(x+5)-3(x+5)=0\)

(x +5)(x - 3) = 0

x = -5 and x = 3

Therefore, at x equals -5 and x equals 3 our function is discontinuous.

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Answer:the third one I suppose

Step-by-step explanation:

Answer:

They are equal so 2 pairs of corresponding angles

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

Use pythagorean

c²=a²+b²   c is the hypotenuse which is across from the right angle or the longest side

x²=14²+48²

x²=2500

x=√2500

x=50