Given functions f and g, perform the indicated operations. f(x) = 3x - 5, g(x) = 6x - 6 Find f-g. Select one: A. -3x + 1 B. -3x - 11 C. 9x - 11 D. 3x - 1

Answer:

B /second bubble -3 1/3 is 10/3 and 4/9 is a reciprocal 9/4

The null space of A can be expressed as: Null space of A: V₁ = [-6x3, -4x3, x3], where x3 is a free variable.

To find the bases for the null space and row space of matrix A, we need to perform row reduction on A to obtain the row echelon form.

Row reducing A, we have:

Copy code

1   4   6

8   3  -4

2  -1  -8

First, we can perform row operations to obtain a leading 1 in the first column:

R2 = R2 - 8R1

R3 = R3 - 2R1

Copy code

1   4    6

0 -29  -52

0  -9  -20

Next, we perform row operations to obtain leading 1's in the second column:

R2 = R2 / (-29)

R3 = R3 - 3R2

Copy code

1   4    6

0   1   52/29

0   0   -95/29

Now, we have the row echelon form of matrix A. The leading 1's indicate the pivot positions.

From this form, we can see that there is one pivot in each row, indicating that there is only one nonzero row in the row space of A.

Therefore, the basis for the row space of A is the nonzero row in the row echelon form:

Basis for row space of A: [1 4 6]

To find the null space of A, we can set the corresponding variables to free variables and solve for the remaining variables.

In this case, we have one free variable, let's say x3. We can express the remaining variables (x1 and x2) in terms of x3:

x1 = -6x3

x2 = -4x3

Therefore, the null space of A can be expressed as:

Null space of A: V₁ = [-6x3, -4x3, x3], where x3 is a free variable.

Note: The basis for the null space can be obtained by taking the columns corresponding to the free variables in the row echelon form. However, in this case, there is only one free variable, so we directly express the null space in terms of the free variable x3.

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Answer:

C

Step-by-step explanation:

the numbers between 0.08 and 0.4 are:

0.09, 0.10, 0.11, 0.12, 0.13, 0.14, 0.15, .16, 0.17, 0.18, 0.19, 0.20, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.30, 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39

I bolded the number closest to your answer choices, hope this helps!

tan(41π/36) can be written in terms of the tangent of a positive acute angle as (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

To express tan(41π/36) in terms of the tangent of a positive acute angle, we need to find an angle within the range of 0 to π/2 that has the same tangent value.

First, let's simplify 41π/36 to its equivalent angle within one full revolution (2π):

41π/36 = 40π/36 + π/36 = (10/9)π + (1/36)π

Now, we can rewrite the angle as:

tan(41π/36) = tan((10/9)π + (1/36)π)

Next, we'll use the tangent addition formula, which states that:

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B))

In this case, A = (10/9)π and B = (1/36)π.

tan(41π/36) = tan((10/9)π + (1/36)π) = (tan((10/9)π) + tan((1/36)π)) / (1 - tan((10/9)π)tan((1/36)π))

Now, we need to find the tangent values of (10/9)π and (1/36)π. Since tangent has a periodicity of π, we can subtract or add multiples of π to get equivalent angles within the range of 0 to π/2.

For (10/9)π, we can subtract π to get an equivalent angle within the range:

(10/9)π - π = (1/9)π

Similarly, for (1/36)π, we can add π to get an equivalent angle:

(1/36)π + π = (37/36)π

Now, we can rewrite the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Since we are looking for an angle within the range of 0 to π/2, we can further simplify the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Therefore, tan(41π/36) can be written in terms of the tangent of a positive acute angle as the expression given above.

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im not going to give the answer but i am going to help you

Step-by-step explanation:

look the median is just the middle, if there is 2 medians then you add those 2 and then divide by 2 to get the MEDIAN in absolute.

now to find the mean all you do is simple you first add all of the numbers below then you would divide by how many numbers you have?

I hope this helps if not then have a nice day

Answer:

median: 25.5

mean: 22

Step-by-step explanation:

So the median is literally the middle of the data set, but lucky for us, we have an even number, so:

21 + 30 ÷ 2 = 25.5

So the median of the set is 25.5

The mean is all the numbers added together divided by the number of terms, so:

0 + 13 + 21 + 30 + 32 + 36 = 132

132 ÷ 6 = 22

So the mean of the set is 132

hope this helps:)

Answer:

your answer will be 13/5(x-5)

Step-by-step explanation:

hope it helps bye

Answer: 13 /5x−25

Step-by-step explanation: 8 /5x−25 − 6 /30−6x

-78x+390 /−30x2+300x−750

−13x+65 /−5x^2+50x−125

13(−x+5) /5(−x+5)(x−5)

13 /5x−25

Answer:

c, y = 0.16x (16 = 100*0.16)

Step-by-step explanation:

The Little Monsters of Beast Academy completed 15 problems during the math meet in March.

The issue is a simultaneous equation involving two equations and two unknowns.

These are the equations that are created:

Let the quantity of questions that the students at the Beast Academy have answered in

The Little Monsters of Beast Academy successfully completed $frac1/5$ of the problems in the November = y/5

In Math Meet. they resolved $frac23$ = 2x/3 problems i

Hence:

y/5 + 2x/3 = 12

x + y = 30

When the equation is solved,

x = y = 15

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the average processing time.1/7 = 0.1428The thorough put is equal to 0.1428 which is equivalent to 1 unit produced every 7 minutes. Therefore, the correct option is 18.

Thorough put is the amount of goods or services that are produced by a system, unit, or organization over a period.

To calculate thorough put, one must divide the total quantity of output by the time taken to generate the output.

Let's see the given problem below: A work system has five separate stations that have process times of \( 5,9,4,9 \), and 8 .

What is the thorough put? To begin with, we'll need to calculate the total processing time.

The processing times are: 5, 9, 4, 9, and 8. Summing these values up, we get 35.

Next, we'll divide the total processing time by the number of stations to get the average processing time.35 / 5 = 7

Finally, we will calculate the throughput as the reciprocal of the average processing time.1/7 = 0.1428The thorough put is equal to 0.1428 which is equivalent to 1 unit produced every 7 minutes. Therefore, the correct option is 18.

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Step-by-step explanation:

-3p+6p is 3p

-3 + 6 = 3

So when you simplify the equation you get 3p

A valid claim about the number of people choosing chocolate ice cream is given as follows:

The number of customers who will choose chocolate is between 70 and 75.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

Out of 75 people, 22 choose chocolate ice cream, hence the probability is given as follows:

p = 22/75.

Out of 250 people, the expected amount is given as follows:

E(X) = 22/75 x 250

E(X) = 73.3 people -> Between 70 and 75.

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Question c and d need to have a negative in it so its

C = -1

D = -3

It's because your subtracting

By observing the pattern and using the given information, we calculated that Jane would put 28 pennies in the sixth row if she continues the pattern of placing pennies. However, there seems to be a discrepancy between the information given and the pattern. It is advisable to verify the accuracy of the provided information to ensure the correct calculation of the number of pennies in each row.

We can observe that each row follows a specific pattern. The number of pennies in each row increases by 3 more than the previous row.

To find the number of pennies in the sixth row, we can use the formula:

Number of pennies in the nth row = Number of pennies in the (n-1)th row + 3

Let's calculate the number of pennies in each row using this formula:

First row: 4 pennies

Second row: 4 + 3 = 7 pennies

Third row: 7 + 3 = 10 pennies

Fourth row: 10 + 3 = 13 pennies

Fifth row: 13 + 3 = 16 pennies

Sixth row: 16 + 3 = 19 pennies

However, the prompt stated that Jane put 13 pennies in the third row, not 10 pennies. This suggests that there might be an error in the given information. Assuming the given information is correct, let's continue the calculation:

Seventh row: 13 + 3 = 16 pennies

Eighth row: 16 + 3 = 19 pennies

Ninth row: 19 + 3 = 22 pennies

Tenth row: 22 + 3 = 25 pennies

Eleventh row: 25 + 3 = 28 pennies

Therefore, if Jane continues the pattern, she will put 28 pennies in the sixth row.

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The values could represent the linear function f(x) =3x

From the question, we have the following parameters that can be used in our computation:

x    f(x)

0     0

1      3

2      6

From the above function, we can see that

As the values of the variable x increases by 1, the values of the variable y increases by 3 at a constant rate

This means that the table of values is a linear function, and the slope is

Slope = 3/1

Evaluate

Slope = 3

A linear equation is represented as

y = mx + b

Where

slope = m

b = y when x = 0

This means that

b = 0 and m = 3

So, we have

y = 3x + 0

Evaluate

y = 3x

Hence, the values are linear functions

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Answer:

A

Step-by-step explanation:

A is the only one with (4,0) (1,-1) (0,0) and (-2,5)

Answer:

44, -60, 4

Step-by-step explanation:

8(5) + 4 ---- 40 + 4 ---- 44

8(-8) + 4 ---- -64 + 4 ---- -60

8(0) + 4 ---- 0 + 4 ---- 4

Answer:

0.74

Step-by-step explanation:

We can isolate x, getting 9.2x - 1.9x = -1 + 6.4

We can then simplify, getting 7.3x = 5.4, which we can solve by dividing both sides by 7.3:

x = 5.4 / 7.3 = 0.74

Answer:

x=0.739726

Step-by-step explanation:

subtract 9.2x on both sides

-1+1.9x-9.2x=-6.4

combine like terms

1.9x-9.2x=-7.3x

-1-7.3x=-6.4

add -1 on both sides

-7.3x=-6.4+1

-7.3x=-5.4

divide both sides by -7.3

x=0.739726...

hope this helps

Hello.

We have the slope of the line and its y-intercept; this is enough information for us to write the line's equation in slope-intercept form:

y=mx+b

m = slope (1/4)

b= y-intercept

Equation:

\(y=\displaystyle\frac{1}{4} x-2\)

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

Answer:

m∠T = 45°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

∠S + ∠T + ∠U = 180°

2x + 10 + 3x - 9 + 6x - 19 = 180

11x - 18 = 180

11x = 180 + 18

    = 198

x = 198 ÷ 11

x = 18

m∠T = 3x - 9

        = 3(18) - 9

        = 54 - 9

m∠T = 45°

Answer:

GGB

GGG

GBB

GBG

BGG

BGB

BBG

BBB

Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%

Step-by-step explanation:

GGB

GGG

GBB

GBG

BGG

BGB

BBG

BBB

Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%

The appropriate sample size formula on the TI-84 calculator, you can determine the sample size needed to achieve your desired margin of error for estimating population parameters.

To find the sample size with a desired margin of error on a TI-84 calculator, you can use the following steps:

1. Determine the desired margin of error: Decide on the maximum allowable difference between the sample estimate and the true population parameter. For example, if you want a margin of error of ±2%, your desired margin of error would be 0.02.

2. Determine the confidence level: Choose the desired level of confidence for your interval estimate. Common choices include 90%, 95%, or 99%.

Convert the confidence level to a corresponding z-score. For instance, a 95% confidence level corresponds to a z-score of approximately 1.96.

3. Calculate the estimated standard deviation: If you have an estimate of the population standard deviation, use that value. Otherwise, you can use a conservative estimate or a pilot study's standard deviation as a substitute.

4. Use the formula: The sample size formula for estimating a population mean is n = (z^2 * s^2) / E^2, where n represents the sample size, z is the z-score, s is the estimated standard deviation, and E is the desired margin of error.

5. Plug in the values: Input the values of the z-score, estimated standard deviation, and desired margin of error into the formula. Use parentheses and proper order of operations to ensure accurate calculations.

6. Calculate the sample size: Perform the calculations using the calculator, making sure to include the appropriate multiplication and division symbols. The result will be the recommended sample size to achieve the desired margin of error.

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Answer:

$45

Step-by-step explanation:

Pls mark me brainliest

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

Let's consider that s be the length of a side of the regular pentagon.

The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm

Also,

we have the formula for the area of a regular pentagon as:

\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)

where a is the length of a side of the pentagon.

In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.

Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)

Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.

In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

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9514 1404 393

Answer:

  C  -10

Step-by-step explanation:

Multiply each side of the equation by 5.

  5(x/5) = 5(-2)

  x = -10 . . . . matches choice C

The amount invested in the account that earns 10% interest  is $2000.

The amount invested in the account that earns 13% interest  is $3000.

a + b = 5000 equation 1

0.1a + 0.13b = 590 equation 2

Where:

Multiply equation 1 by 0.1

0.1a + 0.1b = 500 equation 3

Subtract equation 3 from equation 1

90 = 0.03b

Divide both sides by 0,03

b = $3000

Subtract $3000 from $5000: 5000 - 3000 = $2000

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After the confinement period begins, the SBA Form must be filed to SSS loan within five (5) calendar days for Home Confinement. SSS must receive the SBA Form for Hospital Confinement within one (1) year of the patient's release from the hospital.

OFW members will begin receiving a 30-day grace time for filing illness benefit applications beginning on August 18, 2015, in addition to the current five-day prescriptive period.

This is done to allay the worry that people's claims for sickness benefits are frequently penalized for late submission because of the distance between their place of employment/residence and the closest SSS international branch. The additional 30-day grace period is only applicable in situations where hospital confinement is not necessary.

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The x-intercept is 5 and the y-intercept is 2.

The standard form of the line is 2x + 5y = 10.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis. In other words, the x -intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0.

Hence, the x-intercept is 5 and the y-intercept is 2.

Let's find the equation in standard form.

Ax + By = C

where

Using slope intercept form,

y = mx + b

where

Hence, using (5, 0) and (0, 2)

m = 2 - 0 / 0 - 5

m = - 2 / 5

Therefore.

y = - 2 / 5x + 2

Hence, let's multiply through by 5 to eliminate the fraction

5y = -2x + 10

Therefore, the standard form is as follows:

2x + 5y = 10

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