Graph the function y=log(x-2)

Answer:

54

Step-by-step explanation:

6 bars of soap = $1

x bars of soap = $9

We need to multiply both sides of the equation by the same amount so that $9 is on the right.

$1 x 9 = $9

6 x 9 = 54

So, you can buy 54 soaps with $9.

Hope this makes sense. Feel free to ask further if need be.

Mr. Red's salary is an illustration of an arithmetic sequence

The recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

From the complete question, we have the explicit rule of Mr. Red's salary to be

an = 500n + 29500

Where:

The above means that:

The difference between a term and the next term is 500.

So, the recursive rule is:

an = an−1 + 500

Recall that:

a1 = 30000

Hence, the recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

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Answer:

A reflection across the y-axis

Step-by-step explanation:

Answer:

reflection across the x-axis

Step-by-step explanation:

:)

the angle between 0 and 2π that is coterminal with 17π/4 is π/4.

To find the angle between 0 and 2π that is coterminal with 17π/4, we need to find an equivalent angle within that range.

Coterminal angles are angles that have the same initial and terminal sides but differ by a multiple of 2π.

To determine the coterminal angle with 17π/4, we can subtract or add multiples of 2π until we obtain an angle within the range of 0 to 2π.

Starting with 17π/4, we can subtract 4π to bring it within the range:

17π/4 - 4π = π/4

The angle π/4 is between 0 and 2π and is coterminal with 17π/4.

what is equivalent'?

In mathematics, the term "equivalent" is used to describe two things that have the same value, meaning, or effect. When two mathematical expressions, equations, or statements are equivalent, it means that they are interchangeable and represent the same mathematical concept or relationship.

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Answer:

x < 3 or x ≥ 11

Step-by-step explanation:

(-∞, 3) or [11, ∞)

Step-by-step explanation:

subtract 4 from each side

2x < 6 .     or .         3x  ≥ 33

x < 3 or x ≥ 11

make sure you have an OPEN DOT at 3 pointing to negative infinity and a CLOSED DOT at 11 pointing to positive infinity.  

Answer:

The values of a, b, and c for the quadratic equation

a=3

b=-5

c=6

Answer:

-24

Step-by-step explanation:

=3×2-5×+6

=3×2-(5×+6)

=3×2-(+30)

=3×2-30

=6-30

=-24

Answer:

-4y(3y + 1) (9y^2 - 3y + 1)

Step-by-step explanation:

-108y^4 - 4y

= -4y(27y^3 + 1)

= -4y(3y + 1) (3^2y^2 - 3y + 1)

= -4y(3y + 1) (9y^2 - 3y + 1)

Answer:

-4y(3y + 1) (9y^2 - 3y + 1)

\(\huge \bf༆ Answer ༄\)

Just add the like terms ~

I hope it helps ~

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Answer:

3.7x + 2.5y

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

  not direct variation

Step-by-step explanation:

You want to know if the equation y = 3x +2 represents a direct variation between x and y.

Direct variation is characterized by the equation ...

  y = kx

for a constant of variation k. The point (0, 0) is on a graph of direct variation.

The given equation is not in this form, and cannot be put in this form. The value of y when x=0 is not 0, so the variation is not direct.

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Brayden would make the most shots in 30 attempts.

The equations of the tangents that pass through (2,−3) are y=−x−1 and  y= 11x−25.

What is an equation?

In arithmetic,an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main BODY:

The gradient of the tangent to a curve at any particular point is given by the derivative of the curve at that point. So for our curve (the parabola) we have

y=x²+x

Differentiating wrt x we get:

dy / dx = 2x +1

Let P(α,β) be any generic point on the curve. Then the gradient of the tangent at P is given by:

m=2α+1                   (using the derivative)

And as P lies on the curve we also have:

β=α²+α                    (using the curve equation)

And so the tangent at P passes through (α,α²+α) and has gradient 2α+1, so using the point/slope form y−y₁=m(x−x₁) the equation of the tangent at P is;

y−(α²+α)=(2α+1)(x−α)

if this tangent also passes through

(2,−3) then;

⇒-3−(α²+α)=(2α+1)(2−α)

⇒-3 −α²- α = 3α−2α²+2

⇒α²−4α−5=0

∴α=−1,5

If  α=−1⇒β=0

, and the tangent equation becomes:

y−0=(−1)(x+1)

∴ y=−x−1

If α=5⇒β=30

, and the tangent equation becomes:

y−30=(11)(x−5

∴y−30=11x−55

∴y=11x−25

Hence the equations of the tangents that pass through (2,−3) are y=−x−1 and  y= 11x−25.

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an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches

1. Add the two amounts of rainfall together: 2.45 + 1.72

2. Round the answer to the nearest inch: 4.2 inches

3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.

This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.

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By adding the number of elements in a1, a2, and a3, we obtain the total count of elements in their union, which is 11,033.

The number of elements in the union of sets a1, a2, and a3 can be determined by considering the individual sizes of each set. In this scenario, a1 contains 102 elements, a2 contains 992 elements, and a3 contains 9939 elements.

In total, the number of elements in the union (a1 ∪ a2 ∪ a3) can be calculated as follows:

102 + 992 + 9939 = 11033

Therefore, there are 11,033 elements in the union of sets a1, a2, and a3.

To find the number of elements in the union of multiple sets, we combine the elements from each set without repetition.

In this case, we sum up the sizes of each set, taking into account that any duplicates are only counted once in the union. By adding the number of elements in a1, a2, and a3, we obtain the total count of elements in their union, which is 11,033.

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Answer:

x=23,y=15

Step-by-step explanation:

take away 8 from 38, divide it by 2, you get 15. add 8 to one of the set of two 15s. you get 23 and 15

Explanation:

We use the intersecting chords theorem here.

This is the idea where multiplying the pieces of each chord lead to the same product

6*x = 5*12

6x = 60

x = 60/6

x = 10

Answer:

C.) 10

Step-by-step explanation:

I got it correct on founders edtell

Answer:

A

Step-by-step explanation:

Since the total cost at first will not be 5 exactly, it will turn to 4.5 (4.50). And it will be just below the five, at the first hour. And then from there, just add 3.25 each hour and forget about the 1.25 since 1.25 is used for the beginning only, and not the rest.

-By Shamaria Vaughn.

Answer:

x=8v

Step-by-step explanation:

Answer:Example: evaluate the function f(x) = 2x+4 for x=5

Just replace the variable "x" with "5":

f(5) = 2×5 + 4 = 14

Answer: f(5) = 14

Step-by-step explanation:

Hazel spends (13/14) of her money in total. Therefore, the answer, in its simplest form, is 13/14.

Hazel spends (3/7) of her money in the music shop and (1/2) in the clothes shop. To find the fraction of her money she spends in total, we need to calculate the combined fraction.

Let's denote the fraction of money Hazel spends in the music shop as m and the fraction she spends in the clothes shop as c.

m = 3/7 (money spent in the music shop)

c = 1/2 (money spent in the clothes shop)

To calculate the total fraction spent, we add the fractions:

Total fraction spent = m + c

To add the fractions, we need a common denominator. The least common multiple (LCM) of 7 and 2 is 14, so we can rewrite the fractions with a common denominator:

m = (3/7) * (2/2) = 6/14

c = (1/2) * (7/7) = 7/14

Now we can add the fractions:

Total fraction spent = (6/14) + (7/14) = 13/14

Therefore, Hazel spends (13/14) of her money in total.

The answer, in its simplest form, is 13/14.

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Question

Hazel spends (3)/(7) of her money in the music shop and (1)/(2) in the clothes shop. What fraction of her money does she spend in total? Give your answer in its simplest form.

Answer:

y intercintercept is (0,1) and.anand x is im not sure

Step-by-step explanation:

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following operation:

We solve in the standard way just like this:

Cindy should hire the 12th worker as it would result in a net increase in profit, with additional revenue exceeding the cost of hiring. Insufficient information is provided to determine the demand curve for labor or compare its elasticity. Events that would shift the factory's demand for capital include new, more efficient machines and rising wages due to a labor shortage.

a. To determine whether Cindy should hire a 12th worker, we need to compare the additional revenue generated with the additional cost incurred. Hiring the 12th worker would increase total revenue by $150 ($2,750 - $2,600) per day, but it would also increase costs by $100. Therefore, the net increase in total profit would be $50 ($150 - $100). Since the net increase in profit is positive, Cindy should hire the 12th worker.

b. By hiring the 12th worker, Cindy can increase her total revenue from $2,600 per day to $2,750 per day. The additional revenue generated by the 12th worker exceeds the cost of hiring that worker, resulting in a net increase in profit.

c. To determine the firm's demand curve for labor, we need information about the marginal product of labor (MPL) and the wage rates. Unfortunately, this information is not provided, so we cannot complete the labor demand table or derive the demand curve for labor.

Without specific data or information about changes in the quantity of labor demanded and wage rates, we cannot determine which demand curve (from part b or c) is more elastic. The elasticity of the demand curve depends on the responsiveness of the quantity of labor demanded to changes in the wage rate.

The events that would shift the factory's demand for capital are:

a. New shoemaking machines being twice as efficient as older machines would increase the productivity of capital. This would lead to an increase in the demand for capital as the factory would require more capital to produce the same quantity of shoes.

b. The wages that the factory has to pay its workers rising due to an economy-wide labor shortage would increase the cost of labor relative to capital. This would make capital relatively more attractive and lead to an increase in the demand for capital as the factory may substitute capital for labor to maintain production efficiency.

The event "Many consumers decide to walk barefoot all the time" would not directly impact the demand for capital as it is related to changes in consumer behavior rather than the production process of the shoemaking factory.

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The zero vector 0 is in the subset.

The subset is closed under addition: if u and v are in the subset, then u + v is also in the subset.

The subset is closed under scalar multiplication: if u is in the subset and c is any scalar, then cu is also in the subset.

a) span(S): The span of a set of vectors S = {v1, ..., vn} in a vector space V is the set of all linear combinations of those vectors. In other words, span(S) is the set of all vectors that can be expressed in the form c1v1 + ... + cnvn, where c1, ..., cn are scalars.

b) basis for V: A basis for a vector space V is a set of linearly independent vectors that span V. In other words, a basis is a set of vectors B = {v1, ..., vk} such that every vector in V can be expressed as a linear combination of the vectors in B, and no vector in B can be written as a linear combination of the other vectors in B.

c) subspace of V: A subspace of a vector space V is a subset of V that is itself a vector space under the same operations of addition and scalar multiplication as V. In order to be a subspace, a subset must satisfy three conditions:

The zero vector 0 is in the subset.

The subset is closed under addition: if u and v are in the subset, then u + v is also in the subset.

The subset is closed under scalar multiplication: if u is in the subset and c is any scalar, then cu is also in the subset.

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Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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-7 and - 9

Step-by-step explanation:

Area of rectangule is length * width

We can conclude that the value of r(2) which is -6 and x - 2 is not the factor for r(x).

So, we know that the equation is:

Now, calculate the equation when x = 2.

Now, we can conclude that:

Therefore, we can conclude that the value of r(2) which is -6 and x - 2 is not the factor for r(x).

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Answer:

The price for each pound of tuna is not always the same.

Step-by-step explanation:

What we do is divide the price by the amount of tuna to find the price for each amount of tuna

For the 1st one, we have $8 for 2 tuna so we do 8/2

8/2 = 4

For the 2nd we have $16 for 4 so we do 16/4

16/4 = 4

For the 3rd, we have $27 for 9 so we do 27/9

27/9 = 3

It be 12 cause from the smaller one 2*4 would = to 8 and 5*4 also = to 20 so 3*4 = to 12.

9514 1404 393

Answer:

  No

Step-by-step explanation:

The graph is not a straight line with define slope, so does not represent a linear function.

__

The graph has segments that are straight lines. It is what we call "piecewise linear."