find rate of change help show work.

The true statement for the function p(x) is p(-2) and p(0) cannot be compared as 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.

To learn more about logarithmic function visit:

brainly.com/question/1616298

#SPJ1

Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

The limit as g(x) approaches 11 doesn't exist.

\(\lim_{x \to 11} g(x) = DNE\)

It looks like you are working with the following piecewise defined function:

\(g(x)=\left \{ {{-9;x<11} \atop {7;x\geq11}} \right.\)

There is a rule in calculus that tells us that for a limit to exist, both lateral limits must be the same as x approaches a given value. This is:

\(\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)\)

if and only if this is true, then:

\(\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)=\lim_{x \to a} f(x)\)

if that condition isn't met, then the limit doesn't exist.

So let's calculate the lateral limits for this function:

\(\lim_{x \to 11^{-}} g(x) = -9\)

This means that as x approaches 11 from the left, the function will return a value close to -9

Now, let's calculate the lateral limits for this function:

\(\lim_{x \to 11^{+}} g(x) = 7\)

This means that as x approaches 11 from the right, the function will return a value close to 7

You can better visualize this in the graph of the function which I attached to this answer.

Notice that both lateral limits are different, from the left you got a -9 and from the right you got a 7. Therefore, according to the rule I wrote above, the limit does not exist.

For more information on this topic, you can go to the following link:

https://brainly.com/question/17334531?referrer=searchResults

Answer:

D) DNE

Step-by-step explanation:

edge 2021

Answer:

The factorisation of 405

405 = 5x3x3x3x3

Answer:

405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5

Step-by-step explanation:

I'll factor 405 with the Factor Tree Method.

Step 1: Place the number 405 on top of the factor tree.

Step 2: Notice that 405 can be divided by 5 -> 405 = 5 x 81. The two branches from 405 become 5 and 81.

Step 3: Continue factorizing other numbers in the tree until you are left only with the prime factors, which you cannot further factorize.

Step 4: Write the number as the product of prime factors you got.

405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5

Answer:

18 pigs to 27 goats

Step-by-step explanation:

2 x 9 = 18 and 3 x 9 = 27. 2/3 = 18/27

Answer:

5

Step-by-step explanation:

4x-x=17-2

3x=15I:3

x=5

i think thats right

9514 1404 393

Answer:

  x = {5.4, 9.6}

Step-by-step explanation:

Adding and subtracting the square of half the x-coefficient can help you complete the square.

  (x^2 -15x +7.5^2) +52 -7.5^2 = 0

  (x -7.5)^2 = 4.25 . . . . . . add the opposite of the constant; write as a square

  x = 7.5 ±√4.25 . . . . . . . square root, add 7.5

  x ∈ {5.4, 9.6}

Answer:

A

Step-by-step explanation:

because 2x3 equals 6

then 6x5 equals 30

( i did the math for the other ones and its a;)

Answer:

Step-by-step explanation:

We will have the following:

We can see that the line given is a horizontal line, thus the line perpendicular to it will be a vertical line that passes through the point (-7, -5), that is:

So, the line will be:

The standard deviation of the scores of all the students in the class to be:

σ = √[(Σ(x - 80)2) / 50] = 11.18

The standard deviation of the scores of all the students in the class is calculated using the formula

σ = √[(Σ(x - μ)2) / N]

where μ is the mean of the scores and N is the total number of students in the class.

In this case, the total number of students in the class is 50 (30 from section 1 and 20 from section 2). Let's assume that the mean of the scores for all students is 80.

Therefore, the standard deviation of the scores of all the students in the class is calculated as follows:

σ = √[(Σ(x - 80)2) / 50]

In this equation, Σ(x - 80)2 is the sum of the squared differences between each student's score and the mean. We can calculate this sum by first finding the squared difference for each student and then adding them up.

For example, if the scores of the 30 students in section 1 are 86, 95, 78, etc., the squared differences will be (86 - 80)2 = 36, (95 - 80)2 = 225, (78 - 80)2 = 4, and so on. Adding all these squared differences will give us the sum of the squared differences for all the students in the class.

Finally, substituting this sum and the value of N (50) in the formula, we get the standard deviation of the scores of all the students in the class to be:

σ = √[(Σ(x - 80)2) / 50] = 11.18

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ4

Answer:

3

Step-by-step explanation:

-2=0+x

x¹=-2 (purple one)

4=2x-2

2x=6

x²=3 (green one)

Answer:

52

Step-by-step explanation:

6ab - 2c =

6(5)(2) - 2(4) =

60 - 8 =

52

Answer:

52

Step-by-step explanation:

6((5)(2)) - 2(4)

6(10) - 2(4)

60 - 8

52

Answer:

i think 179

Step-by-step explanation:

(3×2)+(2-1) = 7

(5×4)+(4-1) = 23

(7×6)+(6-1) = 47

(9×8)+(8-1) = 79

so 19----9 = (19×9)+(9-1) = 171+8 = 179

Answer:

1/10

Step-by-step explanation:

4/5x1/8=4/40=1/10

Answer:

343

Step-by-step explanation:

f(x) = x - 1 and g(x) = x^3

g(f(8))

First find f(8) = f(8-1) = 7

Then find g(7) = 7^3 = 343

g(f(8) = 343

Answer:

I will assume that you meant to type (g o f)(8).

First we find f(8).

f(8) = 8 - 1 or 7.

We now find g(f(8)), which means g(7).

g(7) = 7^3 or 343

(g o f)(8) = 343:

The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.

In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).

From the information provided above, the slope for the equation of line m is given  by:

x - 2y = -8

2y = x + 8

y = x/2 + 4

slope (m) of line m = 1/2

In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:

m₁ × m₂ = -1

1/2 × m₂ = -1

m₂ = -2

Slope, m₂ of perpendicular line = -2

Read more on perpendicular line here: brainly.com/question/27257668

#SPJ1

Inconsistent

a) Given:

x + y + z = -1 . . .(1)

y - 3z = 11 . . . (2)

2x + y + 5z = -12 . . .(3)

To find:

If the solution of the system of equations is either consistent dependent solution or an inconsistent one

We need to solve the system of equations. From equation (2), we will make y the subject of formula:

y = 11 + 3z (2*)

Substitute for y with 11 + 3z in both equation (1) and (2):

For equation 1: x + 11 + 3z + z = -1

x + 11 + 4z = -1

x + 4z = -1-11

x + 4z = -12 . . . (4)

For equation 3: 2x + 11 + 3z + 5z = -12

2x + 11 + 8z = -12

2x + 8z = -12-11

2x + 8z = -23 . . .(5)

We need to solve for x and z in equations (4) and (5)

Using elimination method:

To eliminate a variable, its coefficient needs to be the same in both equations

Let's eliminate x. We will multiply equation (4) by 2:

2x + 8z = -24 . . . (4*)

Now both equations have the same coefficient of x. Subtract equation (4) from (5):

2x - 2x + 8z - 8z = -23 - (-24)

0 + 0 = -23 + 24

0 = 1

Let hand side is not the same as right hand side.

When the left hand side is not equal to right hand side, the solution is said to be inconsistent or no sloution.

Your answer is inconsistent

Answer:

If the expression cannot be factored, write cannot be factored. 13. 4x + 12. 14. 8r - 14. 15 GEOMETRY The rectangle shown. 26. FUNDRAISING The Art Club receives below has a total area of (4x + 36). $10 plus $2 ... square feet. Factor 4x + i did it and a diffrent form can this help ?

Step-by-step explanation:

Answer:

x + 7

Step-by-step explanation:

N/A

Answer:

x + 7

Step-by-step explanation:

We don’t know his current age so we can use x to represent it. In 7 years, he will obviously be 7 years older so that will be addition.

Best of Luck!

The constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.

A proportional relationship is a mathematical equation that expresses two variables that are in proportion to one another. In this type of relationship, if one variable is multiplied by a certain constant factor, then the other variable will be multiplied by the same constant factor. For example, if the cost of 3 books is $15, then the cost of 6 books will be $30. In this case, the number of books and the cost of the books are in proportion to one another.

The constant of proportionality is the constant factor by which the two variables are multiplied to obtain each other. In other words, it is the ratio between the two variables that remain constant in a proportional relationship. It can be represented by the letter k, and is calculated by dividing one variable by the other.

To find the constant of proportionality from a graph, we need to look at the slope of the line. The slope is the ratio between the change in the y-values and the change in the x-values, which is also known as the rise over run. If the graph shows a proportional relationship, then the slope will remain constant throughout the graph.

For example, if the graph shows the relationship between the number of hours worked and the amount of money earned, and the slope is 10, then the constant of proportionality is 10. This means that for every hour worked, the person earns $10. The equation for this proportional relationship can be written as y = 10x, where y represents the amount of money earned and x represents the number of hours worked.

In conclusion, the constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.

For more such questions on constant of proportionality, click on:

https://brainly.com/question/1835116

#SPJ8

Answer: 0.07

Step-by-step explanation:

To find the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree, we need to calculate the ratio of the number of people with those characteristics to the total sample size.

Looking at the contingency table, we can see that the number of people in the suburban category with a two-year degree is 21.

The total sample size is given as 311.

Therefore, the relative frequency can be calculated as:

Relative frequency = (Number of people in suburban category with two-year degree) / (Total sample size)

= 21 / 311

≈ 0.0676

Rounded to two decimal places, the relative frequency is approximately 0.07.

Answer:

Translated El doble de la diferencia de un número y 2 es 9.

Utilice la variable x para el número desconocido.

Answer:

The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.

Step-by-step explanation:

brainliest???

Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

Vertical angles are angles opposite to each other where two lines cross.

When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.

These pair of angles are congruent which means they have the same angle measure.

Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

Learn more about Vertical Angles with this given link:

https://brainly.com/question/28424551

Answer:

1/6 more hot chocolate than apple cider.

Step-by-step explanation:

In order to complete this, you first have to make both numbers have the same denominator.

2: 2, 4, 6

3: 3, 6

The new denominator is 6.

1/2 - 3/6

1/3 - 2/6

These are the new fractions after making the numbers have common denominators.

3/6 - 2/6 = 1/6

Camille serves 1/6 more hot chocolate than apple cider.

Answer:

where is the pictures??

Answer:

\(\cos\theta = \pm\frac{2\sqrt{2}}{3}\\\tan\theta=\pm\frac{\sqrt{2}}{4}\)

Step-by-step explanation:

sinθ = 1/3

\(\cos\theta=\pm\sqrt{1-\cos^2\theta} = \pm\sqrt{1-\frac{1}{9}}=\pm\sqrt\frac{8}{9}=\pm\frac{2\sqrt{2}}{3}\)

\(\tan\theta=\frac{\sin\theta}{\cos\theta}=\pm\frac{1}{2 \sqrt{2}}=\pm\frac{\sqrt{2}}{4}\)

Therefore , the solution of the given problem of expressions comes out to be  potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

Instead of producing estimates at random, it is preferable to use expanding, decreasing, & blocking moving numbers. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. In addition to arithmetic operations like addition, negation, synthesis, and combination, a truth statement may also contain formulas, components, and notations. It is feasible to evaluate and analyse both sentences as words.

Here,

The gravitational potential energy of the bird at a height of 550m can be determined using the following formula, assuming you meant to say "0.52 kg bird" instead of "0.52k bird":

Mass times gravity times height equals gravitational potential energy.

where mass is measured in kilogrammes, gravity is the force of gravity, which accelerates objects near the Earth's surface at a rate of around 9.81 m/s2, and height is measured in metres.

Inputting the values provided yields:

The gravitational potential energy is equal to

=> 0.52 kg * 9.81 m/s2 *550 m,

=> 2,798.46 joules.

Hence, the bird's gravitational potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

For more questions on Rational .

https://brainly.com/question/30339525

#SPJ8

Answer:

what's the question?? I b.d ont get it

The equation that represents the total cost that Debra paid is: C = 5N

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

Information about the problem:

The function that models the situation is the following:

C = 5N

Where:

Number of notebooks = N

Cost of each notebook = $5

Total cost = C

Learn more about equation at: brainly.com/question/2972832 and brainly.com/question/27815607

#SPJ4

Correctly written question:

Debra purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Debra paid.