Plz help I need help

Answer:

Step-by-step explanation:

A)  (f(x) - f(a)) / (x - a)

(3x²– 4x – 8 - (3a² – 4a – 8)) / (x - a)

(3x²– 4x – 8 - 3a² + 4a + 8) / (x - a)

(3(x² - a²) – 4(x - a)) / (x - a)

(3(x - a)(x + a) – 4(x - a)) / (x - a)

3(x + a) - 4

B)  (f(x + h) - f(x)) / h

(3(x + h)² -  4(x + h) - 8 - (3x² - 4x - 8)) / h

(3(x² + 2xh + h²) -  4x - 4h - 8 - 3x² + 4x + 8) / h

(3x² + 6xh + 3h² -  4x - 4h - 8 - 3x² + 4x + 8) / h

(3x² + 6xh + 3h²         - 4h - 8 - 3x²         + 8) / h

(3x² + 6xh + 3h²         - 4h       - 3x²              ) / h

(          6xh + 3h²         - 4h                            ) / h

(6xh + 3h² - 4h) / h

6x + 3h - 4

Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.

I prefer Wills method because it is easier and less complicated.

Wills method:

(5x + 6x) - (2x - 1)

Subtract both 2x and -1

5x + 6x - 2x - - 1

5x + 4x + 1

In conclusion, Wills method is preferred when both methods are compared.

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Answer:

1) 38

2) 49

Step-by-step explanation:

1) 10 + 8 ÷2（4 + 3）

Knowing Pemdas, we do the expression in the parentheses first.

4+3 = 7

The new expression is: 10 + 8 ÷ 2 · 7

Using Pemdas, 8 ÷ 2 is 4.

10 + 4 · 7

10 + 28 = 38.

The answer to #1 is 38.

2)  21 ÷ ( 1 ) ( 3 ) + 0 - 14

21 ÷ 1 = 21

21 · 3 = 63

63 + 0 = 63

63 - 14 = 49

The answer to #2 is 49.

Answer:

Step-by-step explanation:

We have two points

(

6

,

8

)

and

(

−

2

,

0

)

Explanation:

To find number of points of intersection, we should solve these pair of equations.

As

y

=

x

+

2

, we have

2

x

2

−

(

x

+

2

)

2

=

8

or

2

x

2

−

x

2

−

4

x

−

4

=

8

or

x

2

−

4

x

−

12

=

0

or

x

2

+

2

x

−

6

x

−

12

=

0

or

x

(

x

+

2

)

−

6

(

x

+

2

)

=

0

or

(

x

−

6

)

(

x

+

2

)

=

0

and hence

x

=

6

or

−

2

putting these values in

y

=

x

+

2

, we get

y

=

8

or

0

Hence, we have two points

(

6

,

8

)

and

(

−

2

,

0

)

graph{(y-x-2)(2x^2-y^2-8)=0 [-8, 12, -0.6, 9.4]

Answer:

A)  Mr. Simpson's class; it has a larger median value 14.5 pencils.

Step-by-step explanation:

A box plot is a visual display of the five-number summary:

From inspection of the box plots (attached), the measures of central tendency (median) and dispersion (range and IQR) are:

Mr Johnson's class:

Mr Simpson's class:

In a box plot, the median is a measure of central tendency and tells us the location of the middle value in the dataset. It divides the data into two equal halves, with 50% of the values falling below the median and 50% above it.

The median number of pencils lost in Mr Simpson's class is greater than the median number of pencils lost in Mr Johnson's class. Therefore, Mr. Simpson's class has a larger median value.

The spread of data in a dataset can be measured using both the range and the interquartile range (IQR).

As Mr Simpson's class has a greater IQR and range than Mr Johnson's class, the data in Mr Simpson's class is more spread out than in Mr Johnson's class.

In summary, as Mr Simpson's class has a larger median 14.5 and a wider spread of data, then Mr Simpson's class lost the most pencils overall.

Answer:

The answer is "(0.782, 0.818)".

Step-by-step explanation:

computing the sample proportion:

\(p=\frac{x}{n}= \frac{1,600}{2000}=0.80 \\\\\)

\(\text{Computing the} \ 95\% \ \ C.I \\\\\)

\(C.I= p \pm Z_{\frac{\alpha}{2}}\sqrt{\frac{P(1-p)}{n}}\)

     \(= 0.80 \pm 1.96 \sqrt{\frac{0.80(1-0.80)}{2000}} \\\\= 0.80 \pm 1.96 \sqrt{\frac{0.80(0.20)}{2000}} \\\\= 0.80 \pm 1.96 \sqrt{\frac{0.16}{2000}} \\\\ = 0.80 \pm 1.96 \sqrt{0.00008} \\\\=0.80 \pm 0.18 \\\\= (0.782, 0.818)\)

conclusion:

Since the interval calculation contains higher values than 75 percent of its union membership, the merger proposal is likely to pass.

The area covered by the signal is 181.37 m²

Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m

The area of a circle of radius R is given by:

A = 3.14*R²

Then the area of a fourth of a circle is:

A = (3.14/4)*R²

Replacing the value of the radius in the formula we will get:

A =  (3.14/4)*(15.2m)² = 181.37 m²

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Answer:

Thank you,Hope you like it and it will help you

According to the information provided, HI = 20, the triangle can be categorised by sides that are as follows:

A collection of numbers or "terms" is called a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.I have a code that tells me where to look for words in a sequence. A collection of objects in a peculiar order is called a sequence (or event) in mathematics. . It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

We need further details regarding the triangle's side lengths in order to identify whether the cylinder is scalene, isosceles, etc equilateral. The cylinder with HI = 20 appears to have no relationship to the sides with lengths values 10, 6, & 8.

Given that the material after "b" contains symbols and numerals that do not make sense together, it can be incomplete or improperly structured. If you would kindly submit a thorough and correctly formatted inquiry, I would be pleased to assist you with sorting the triangle according to its sides or to offer any other information you might require.

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Answer:

The perimeter of rectangle is 48 cm.

Step-by-step explanation:

First, you have to form an expression for the length and the width. Let x be the width :

width = x cm

length = 3 × x = 3x cm

Then, you have to apply area of rectangle formula, A = length × width to find the value of x.Let area equals to 108 :

A = length × width

108 = 3x × x

3x² = 108

x² = 108 ÷ 3

x² = 36

x = √36

x = 6 cm

Lastly, you have to find perimeter :

length = 3 × 6 = 18 cm

width = 6 cm

Perimeter = 2(length + width)

P = 2(18 + 6)

P = 2(24)

P = 48 cm

Answer:

48cm

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

This is an example of a percentage decrease.

To work out the percentage decrease you would first need to convert the percentage of 25% into a decimal. You can do this by dividing the percentage  of 25 by 100, this gives you 0.25. This is because percentages are out of 100.

The next step is to minus 0.25 from 1, this gives you 0.75. This is because we are working out the percentage decrease.

To work out the discounted price you would multiply the amount of $56 by 0.75, this gives you $42.

1) Divide 25 by 100.

\(25/100=0.25\)

2) Minus 0.25 from 1.

\(1-0.25=0.75\)

3) Multiply $56 by 0.75.

\(56*0.75=42\)

, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given here: The fraction 3/9

Now we can simplify the fraction further by dividing both the numerator and denominator by 3

let p=3/9

then p=3/3 / 9/3

       p= 1/3

Hence, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

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Answer:

(a) The total expenditures per household in the year 2008 were approximately $3,080.

(b) The spending reached $2875 per household in 2006.

Step-by-step explanation:

Note: This question is not complete, and the part c is not another question but the same question as part a. The complete question is therefore provided before answering the question as follows:

Out of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2574e^(0.0359x) models average annual expenditures per household, in dollars. In this model, x represents the year, where x = 0 corresponds to 2003.

(a) Estimate out-of-pocket household spending on health care in 2008.

(b) Determine the year when spending reached $2875 per household

The explanation to the answer is now given as follows:

(a) Estimate out-of-pocket household spending on health care in 2008.

Given;

f(x) = 2574e^(0.0359x) ........................ (1)

Since x = 0 corresponds to 2003; by counting from 2003 to 2008, it implies that x = 5 corresponds to 2008.

Substituting x = 5 into equation (1) to estimate out-of-pocket household spending on health care in 2008, we have:

f(6) = 2574e^(0.0359 * 5)

f(6) = 2574 * 1.19661890406748

f(6) = 3,080.09705906969

Rounding to the nearest dollar as needed, we have:

f(6) = $3,080

Therefore, the total expenditures per household in the year 2008 were approximately $3,080.

(b) Determine the year when spending reached $2875 per household

This can be determined using equation (1) in part a by equating f(x) to $2875 solve for x as follows:

2875 = 2574e^(0.0359x)

2875 /2574 = e^(0.0359x)

1.11693861693862 = e^(0.0359x)

Taking the natural log of both sides, we have:

ln(1.11693861693862) = ln(e^(0.0359x))

0.110591565075382 = 0.0359x

x = 0.110591565075382 / 0.0359

x = 3.0805449881722

Approximating to a whole number, we have:

x = 3

Since x = 0 corresponds to 2003; by counting from 2003, x = 3 corresponds to 2006.

Therefore, the spending reached $2875 per household in 2006.

An exponential model can be found when two data points from the model are known.

The total expenditures per household in the year 2008 were near $3,080.

The spending reached $2875 per household in year 2006

(a). Out of-pocket spending in a country for health care given by function,         \(f(x) = 2574e^{0.0359x}\)

Since \(x = 0\) corresponds to 2003, Similarly, x = 5 corresponds to 2008.

Substituting x = 5 into above function to estimate out-of-pocket household spending on health care in 2008

\(f(5) = 2574e^{0.0359*5} \\\\f(5)=3080\)

f(5) = $3,080

Therefore, the total expenditures per household in the year 2008 were approximately $3,080.

(b). To determine the year when spending reached $2875 per household

 \(2875 = 2574e^{0.0359x} \\\\2875/2574=e^{0.0359x} \\\\1.1169=e^{0.0359x}\)

 Taking natural log on both side

\(x=\frac{ln(1.1169)}{0.0359} =3.07\)

Since x = 0 corresponds to 2003, So  x = 3 corresponds to 2006.

Therefore, the spending reached $2875 per household in 2006.

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Answer:

\(V_2 = 37.5\)

Step-by-step explanation:

Given

\(Volume = 16\)

Represent the height of the smaller cylinder with h and its radius with r.

The height (H) of the larger cylinder is

\(H = h + 50\% * h\)

And the radius (R) is;

\(R = r + 25\% * r\)

Required

Determine the volume of the larger cylinder

Volume of the smaller cylinder is:

\(V_1 = \pi r^2h\)

Substitute 16 for V1

\(16 = \pi r^2h\)

While the volume of the larger cylinder is:

\(V_2 = \pi R^2H\)

We have that:

\(H = h + 50\% * h\) and \(R = r + 25\% * r\)

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

Simplify both expressions

\(H = h + 50\% * h\)

\(H = h + 0.50*h\)

\(H = h + 0.50h\)

\(H = 1.50h\)

\(R = r + 25\% * r\)

\(R = r + 0.25*r\)

\(R = r + 0.25r\)

\(R = 1.25r\)

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

Substitute values for R and H in \(V_2 = \pi R^2H\)

\(V_2 = \pi * (1.25r)^2 * 1.50h\)

\(V_2 = \pi * 1.5625r^2 * 1.50h\)

Collect Like Terms

\(V_2 = 1.50 * 1.5625* \pi*r^2 * h\)

\(V_2 = 2.34375* \pi*r^2 * h\)

\(V_2 = 2.34375* \pi r^2h\)

Recall that: \(16 = \pi r^2h\)

\(V_2 = 2.34375* 16\)

\(V_2 = 37.5\)

Hence, the volume of the larger cylinder is 37.5

Answer:

13/15

Step-by-step explanation:

We Know

2/3 of them are chocolate chip cookies.

1/5 of them are sugar cookies.

What fraction of the cookies are chocolate chip or sugar?

2/3 + 1/5 = 10/15 + 3/15 = 13/15

So, 13/15 of the cookies are chocolate chip or sugar.

Answer:

d. you just have to multiply everything

Answer:

25+5x

Step-by-step explanation:

Answer:

5x + 25

Explanation:

5(2 + x + 3)

2 + 3 = 5

5(x + 5)

Apply Distributive Property:

5(x) = 5x

5(5) = 25

Add

= 5x + 25

Answer:

B).

Step-by-step explanation:

Add 8 to half the difference of 6 and 2 then subtract 1.

Answer:

I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.

Algorithm 2 is more efficient than Algorithm 1 because it only needs to loop through the numbers up to upper/11 instead of upper. This means that it will take fewer iterations to reach the result, making it more efficient than Algorithm 1.

Algorithm 1 will make upper/11 more checks than Algorithm 2, resulting in a slower runtime. Additionally, Algorithm 2 avoids the need to check the modulus of each number, further reducing the computation time. Algorithm 2 only needs to loop through the multiples of 11, which are always 11 apart from each other, so it can skip over the other numbers between them.

This makes Algorithm 2 much faster than Algorithm 1 because it is only looping through a fraction of the numbers.

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Answer:

The answer is:

390= 15a+8c

40=a+c

Answer:

A is congruent to A, B is congruent to D, and C is congruent to E

Step-by-step explanation:

If ABC is congruent to ADE, then that means both triangles angles are congruent in the order they are given in.

(Hopefully you can comprehend what I just explained lol-)

Answer:

3x>14+5

3x>19

x>19/3

I hope it helps you

Answer:

Step-by-step explanation:

\(\tt 3x-5 > 14\)

Add 5 to both sides:-

\(\tt 3x-5+5 > 14+5\)

\(\tt 3x > 19\)

Divide both sides by 3:-

\(\tt \cfrac{3x}{3} > \cfrac{19}{3}\)

\(\tt x > \cfrac{19}{3}\)

_______________________

Hope this helps! :)

The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.

The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.

2. 7 x 6000 = 42,000.

To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.

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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.

In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.

Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.

2. 7 x 6000 = 42,000.

We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.

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Answer:

1. B.

2. C.

Step-by-step explanation:

1. It only has one cell so it needs to rely on other organisms in order for it to survive

2. Chloroplasts are only found in plants you can remember it by "Chloroplants"

Answer:

Answer bellow

Step-by-step explanation:

9cm⋅12cm=108cm²

17cm=108cm²

7cm=108cm²

9cm=108cm²

3cm=108cm²

Answer:

407

Step-by-step explanation:

9 x 17 = 153

9 x 16 = 135

(15 x 14) x 1/2 = 105

add em up...

153 + 135 + 105 = 407

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Answer:

The amount of money spent on tickets and snacks will be $39 and $20. And the total amount is $59.

Step-by-step explanation:

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Ellie is going to see a movie and is taking her 2 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $5 each.

The amount of tickets is given as,

Ticket's amount = 3 x $13

Ticket's amount = $39

Then the amount spent on snacks is given as,

Snack's amount = 4 x $5

Snack's amount = $20

Then the total amount is given as,

Total amount = $39 + $20

Total amount = $59

The amount of money spent on tickets and snacks will be $39 and $20. And the total amount is $59.

Answer: yes

Step-by-step explanation:

if u substitute 7 into the x for 4x - 28 then it would be the same as 4(7), because any variable next to a number means multiplication.

hope this was an easier way for u to understand

Answer:

Yes, 7 is still a solution.

Step-by-step explanation:

Answer:

1. 57/16 or 3.5625 ounces of water

8 : 4.75

1 : 19/32  -----> divide both by 8

19/32x6=57/16 = 3.56 ounces

2. 2.4375 ounces of other ingredients

6-3.5625=2.4375

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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