Given that f(x) = -5x, g(x) = x + 3 and
h(x) = -2f (x + 2) - 2g(x - 1), then what is the value of h(1)?

Answer:

3 1/5

Step-by-step explanation:

Converting improper fractions into mixed numbers

What is 16/5 as a mixed number? Divide the numerator by the denominator (16 ÷ 5 = 3 R 1). Your answer is the whole number and your remainder becomes the numerator of the fraction next to the whole number, so your answer is 3 1/5.

Have a good day!:)

The clips are 28% blue and 72% purple.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Ashley had 25 hair clips.

7 of them were blue.

Let n be the percentage of blue clips.

7 = n x 25/100

n = 700/25

n = 28%.

And the rest were purple.

That means,

100 - 28 = 78%.

Therefore, 28% is blue, and 72% is purple.

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Answer: 6

Step-by-step explanation:

Answer:

The simplest form of √800 is  4√5

Step-by-step explanation:

When finding the simplest form of a square root, we want to express the square root as a product of a whole number and a square root of a prime number. This is because the square root of a prime number cannot be simplified any further, while the square root of a composite number (a number that is not prime) can be further simplified.

In this case, we start by seeing that 800 can be factored as 20*40. To simplify the square root, we need to find the square root of each of these factors. The square root of 20 is not a whole number, but the square root of 40 is √40 i.e. 2√10, which can be further simplified as 2*2√5.

So, √800 = √(2040) = √20 * √40 = 2√10 = 2*2√5 = 4√5

As 4 is a whole number and √5 can't be simplified further, this is the simplest form of the square root of 800.

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Although part of your question is missing, you might be referring to this question "What is the simplest form of √ 800 and explain why?"

The graph for the given piecewise function is as provided in image.

What is piecewise function?

A piecewise function is a function f(x) which has different definitions in different intervals of x. The graph of a piecewise function has different pieces corresponding to each of its definitions. The absolute value function is a very good example of a piecewise function. Let us see why is it called so. We know that an absolute value function is f(x) = |x| and it is defined as:

f(x)=(x if x≥0 ,

      -x  if x><0)

We should read this piecewise function as

f(x) is equal to x when x is greater than or equal to 0 and

f(x) is equal to -x when x is lesser than 0.

Given piecewise function

f(x) {3          if x<_-3

      2x + 1   if -3 < x < 4

      -22       if  x > 4

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The sale price of the sweater now is, $39

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Baylee found the sweater she had been looking for on sale for 35% off.

And, The original price of the sweater was $60.

Here, WE have;

Original price of sweater = $60

Sale = 35%

Hence, The sale price is,

⇒ Sale price = $60 - 35% of 60

                    = $60 - 35/100 × 60

                    = $60 - $21

                    = $39

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Answer:

33

Step-by-step explanation:

There are always chances so you never know where the samples could be from. The answer 33 makes the most logical sense.

On solving the provided question we can say that by percentage he need to scores 18 point in each

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

Eden needs an average of =  92%

. Each quiz is worth 20 points

90% 0f 20 = 90/100 * 20 = 18 points

he need to scores 18 point in each

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The main variations essentially come down to liquidation vs. reorganization and debt restructuring.

A relationship exists between a set of values for one variable and a set of values for another variable. directly varying You have the function y = mx (commonly written y = kx), which is known as a direct variation, in the equation y = mx + b . Equations used to express the connection between two variables in a sentence convey the variation between those variables. Direct, inverse, joint, and combination variations are a few types of variation.

Here,

Given :

Businesses frequently choose to file for bankruptcy under Chapter 7 or Chapter 11, respectively.

The main variations essentially come down to liquidation vs. reorganization and debt restructuring.

Large corporations use Chapter 11 to reorganize their debts and carry on with operations. If a chapter 7 bankruptcy is filed, corporations, partnerships, and limited liability firms cannot restructure under chapter 13 and must stop operating.

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The complete question is "In a sole proprietor ownership, if business assets are not enough to pay business debts, then personal assets, such as the sole proprietor's house, personal investments, and retirement plans can be used to pay the debt. This is called ?"

Answer:

5

Step-by-step explanation:

Substitute:

3*(1)--2

3+2

5

Answer: 5

Step-by-step explanation:

3h - g = 3*1 - (-2) = 3 - (-2) = 5

The answer would be 6x+25.

For this, we have to use the Distributive Property, which allows us to multiply the numbers inside of the parenthesis.

-----------------------------------------------------------------------------

So you would do 6•x which equals 6x. And then do 6•4 which equals 24. Your equation currently should be 6x+24+1. Lastly, add 24 and 1 to get your final answer of 6x+25.

I hope this helped :)

Answer:

Step-by-step explanation:

6(x + 4) + 1                       (6*x = 6x and 6 * 4 = 24)

6x + 24 + 1

6x + 25

To compare the steepness of the slopes of different lines, we need to compare the absolute value of the coefficient of the x-term (the number in front of x) in each equation. A larger coefficient of x means a steeper slope, while a smaller coefficient of x means a less steep slope.

y = - 4 3 ⁢ x + 2 3

The coefficient of x in this equation is - 4 3, this function has a steeper slope than the function y = - 3 2 ⁢ x + 1 2

y = - 3 2 ⁢ x + 1 2

The coefficient of x in this equation is - 3 2, this function has a steeper slope than the function y = - 2 ⁢ x + 7 3

y = - 2 ⁢ x + 7 3

The coefficient of x in this equation is - 2, this function has a steeper slope than the function y = - 7 4 ⁢ x + 3 2

y = - 7 4 ⁢ x + 3 2

The coefficient of x in this equation is - 7 4, this function has a steeper slope than the function y = - 8 7 ⁢ x + 4 7

y = - 8 7 ⁢ x + 4 7

The coefficient of x in this equation is - 8 7, this function has the least steep slope of all the functions.

So the order of the functions from steepest to least steep is: y = - 4 3 ⁢ x + 2 3 , y = - 3 2 ⁢ x + 1 2, y = - 2 ⁢ x + 7 3, y = - 7 4 ⁢ x + 3 2 , y = - 8 7 ⁢ x + 4 7

Answer:

see explanation

Step-by-step explanation:

a proportional relationship has equation

y = kx ← k is the constant of proportion

using the ordered pair (2, 3 ) from the table , then

3 = 2k ( divide both sides by 2 )

1.5 = k

y = 1.5x ← equation of proportion

when x = 14 , then

y = 1.5 × 14 = 21

table is then

x | 0   2   8   14

y | 0   3   12   21

Answer: see below

Step-by-step explanation:

To do this, we need to get the fractions to have a common denominator. The closest multiple of both 8 and 10 is 40. Whatever number gets both denominators to forty will need to be multiplied by both the numerator and the denominator

9/10 * 4/4 = 36/40

7/8 * 5/5 = 35/40

Now that both denominators are 40, we can compare the numerators to see which fraction is the largest. Since 36 is greater than 35, 9/10 > 7/8. I hope this helps!

The equation that represents the total rental cost for 'x' number of hours will be y = 3.25x.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of hours and 'y' be the total rental cost. Then the equation is given as,

y = 3.25 x

The equation that represents the total rental cost for 'x' number of hours will be y = 3.25x.

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The relation illustrates the connection between input and output. On the other hand, a function is a relation that produces one OUTPUT for every given INPUT.

A relationship is not a function if each input does not have a distinct output. For a relation to be a function, each input must have a distinct output, and the order of the set's items must be paired in a unique way or the elements of sets must be mapped in a unique way.

Functions: A function is a relation that describes a set of inputs and a set of outputs. In operation, Exactly one output from each input in set X exists in set Y. Not all functions are relations, despite the fact that all relations are functions.

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The graph given is a representation of a two-dimensional coordinate plane, with points A, B, C, D, and E. The question is asking which statements about line n are true. Line n is the line connecting points A and C.

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(Complete Question: Use the graph below to answer the question. Which statements about line n are true?n Select all that apply.

Ansswer choices:

a) The slope of line n is equal to BC/AC.

b) The slope of line n is equal to AC/BC.

C) The slope of line n is equal to BC/DE.

d) The slope of line n is equal to DE/AE.

e) The slope of line n is equal to AE/DE.

f) The slope of line n is equal to AC/AE.)

Answer: To calculate the prepaid interest on a loan, we need to know the annual percentage rate (APR) and the loan amount, as well as the date the loan was closed.

In this case, the loan amount is $400,000, the APR is 6%, and the loan was closed on December 17th.

Prepaid interest is the interest that is paid in advance on a loan, typically at closing. It is a way to cover the interest on the loan from the date the loan closes to the end of the month.

To calculate the prepaid interest, we can use the following formula:

Prepaid Interest = (Loan Amount x APR) x (Number of Days from Closing to End of Month / 365)

In this case, the number of days from December 17th to the end of the month is 14.

Prepaid Interest = ($400,000 x 0.06) x (14 / 365)

Prepaid Interest = $24,000 x 0.038

Prepaid Interest = $912

So, the prepaid interest on a $400,000 loan with an APR of 6% that was closed on December 17th will be $912.

Step-by-step explanation:

The solution is, the prepaid interest on a $400,000 loan with an APR of 6% that was closed on December 17th will be $912.

Prepaid interest is the interest that is paid in advance on a loan, typically at closing. It is a way to cover the interest on the loan from the date the loan closes to the end of the month.

here, we have,

To calculate the prepaid interest on a loan, we need to know the annual percentage rate (APR) and the loan amount, as well as the date the loan was closed.

In this case, the loan amount is $400,000, the APR is 6%, and the loan was closed on December 17th.

To calculate the prepaid interest, we can use the following formula:

Prepaid Interest = (Loan Amount x APR) x (Number of Days from Closing to End of Month / 365)

In this case, the number of days from December 17th to the end of the month is 14.

Prepaid Interest = ($400,000 x 0.06) x (14 / 365)

Prepaid Interest = $24,000 x 0.038

Prepaid Interest = $912

So, the prepaid interest on a $400,000 loan with an APR of 6% that was closed on December 17th will be $912.

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Although there are 9 different ways in which Dwight can divide his time giving lessons in both instruments, but the most balanced work division is 5 hour piano lessons and 5 hour guitar lessons in a week.

What is work division?

The division of labour is the arrangement of tasks given to and carried out by a team of employees or an individual in an effort to boost productivity. Division of work, commonly referred to as division of labour, is the process of breaking down a job into a variety of smaller tasks that together make up the larger activity.

Dwight offers one-hour piano lessons and one-hour guitar lessons.

The number of hours Dwight works per week = 10 hours

There are many possibilities in which Dwight can divide his work.

Case 1: Dwight can teach 1 hour piano lessons and 9 hour guitar lessons in a week.

Case 2: Dwight can teach 2 hour piano lessons and 8 hour guitar lessons in a week.

Case 3: Dwight can teach 3 hour piano lessons and 7 hour guitar lessons in a week.

Case 4: Dwight can teach 4 hour piano lessons and 6 hour guitar lessons in a week.

Case 5: Dwight can teach 5 hour piano lessons and 5 hour guitar lessons in a week.

Case 6: Dwight can teach 6 hour piano lessons and 4 hour guitar lessons in a week.

Case 7: Dwight can teach 7 hour piano lessons and 3 hour guitar lessons in a week.

Case 8: Dwight can teach 8 hour piano lessons and 2 hour guitar lessons in a week.

Case 9: Dwight can teach 9 hour piano lessons and 1 hour guitar lessons in a week.

Therefore, there are 9 different ways in which Dwight can teach both the lessons.

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The Accounting Students Association (ASA) at your campus has chosen to sell three different sorts of T-shirts to earn money.

A single-color "regular" design, a two-color "fancy" design, and a three-color "very fancy" design are the three T-shirt options that the Accounting Students Association (ASA) at your college has chosen to sell in order to raise money.

According to the association, 300 T-shirts could be sold. The association's entire purchasing budget is $3,000, and it will spend $6 on "ordinary" T-shirts, $8 on "fancy" T-shirts, and $10 on "extremely fancy" T-shirts. The company plans to make a profit of $4 on "regular" T-shirts, $5 on "fancy" T-shirts, and $4 on "extremely fancy" T-shirts while selling them. Profit = Total Revenue - Total Cost is a key component of the profit maximization formula.

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Answer:

OOOOOOOOOFFFFFFFFFFFFFFFFFFFFFFFFFFFF

Step-by-step explanation:

Answer: Same. eeeeeeeeeeeeeeeeeeeeeeeeek

Reason:

The equation is in the format of

y = a|x - h| + k

where in this case,

The vertex is located at (h,k) = (5,-1)

The axis of symmetry is x = 5 since it is a vertical line that passes through the vertex.

The graph is shown below. I used GeoGebra, but you can use a TI83, TI84, Desmos, or anything similar.

The value of the the integer is 1 or 5

An integer is a whole number that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1

Let's represent the integer by x, therefore

six times an integer minus 5 equals the square of the integer can be put into equation as:

6x-5 = x²

x² - 6x +5 = 0

x²-5x - x + 5 = 0

(x²-5x)(-x+5) = 0

x(x-5) - 1 ( x -5) = 0

(x-1)(x-5) = 0

therefore x-1 = 0 or x-5 = 0

x = 1 or 5

therefore the value of the integer can either be 5 or 1

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The requried standard deviation of the given data set is σ = 1.1005.

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
For the given data set, 6.8, 9.1, 8.7, 7.5, 8.2, 5.4, 6.5, 8.5, 7.3, 6.6, 5.9, 7.3, 9.3, 7.5, 7.8

Count, N: 15

Sum, Σx: 112.4

Mean, μ: 7.4933

To determine the standard davaition σ,
[tex]\sigma = \sqrt{1/N \sum_{i=1}^N(x_i-\mu)^2}[/tex]

Substitute the value in the above equation,
σ = √[[(6.8 - 7.493)² + ... + (7.8 - 7.493)² ]/15]
σ = 1.1005

Thus, the requried standard deviation of the given data set is σ = 1.1005.

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The third angle is 82 degrees.

What is an isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Here, we have

Given:

Two base angles are 49 degrees.

and the third angle is x.

Using Angle Sum property

x + 49 + 49 = 180

x + 98 = 180

x = 180 - 98

x = 82

Hence, the third angle is 82 degrees.

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In the given options, Option A is different from the rest three options.

It is a type of polygon, which has 5 equal sides and all the interior angles are of  108°.

Given that,

Four statements about interior angles of pentagon

1. What is the measure of an interior angle of a regular pentagon

2. What is the sum of the interior angle measures of a convex pentagon

3. What is the sum of the interior angle measures of a regular pentagon

4. What is the sum of the interior angle measures of a concave pentagon

It can be seen that in 2, 3, 4 asking sum of interior angles

And, in first option asking individual value of interior angle

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Answer:

Step-by-step explanation:

You have to add all of the number up to get the whole amount and then put in how much they each gave. Hope this helps :))

Answer:

Nice

Step-by-step explanation:

Answer:

25% increase bc 15/20 is 75% .100-75 is 15%