help pls! example is not needed

The values for the net change and average change is given as-

7. Net change = 2 , Average change = 2/3.

8. Net change = -2, Average change = -1/2.

9. Net change = -4, Average change = 4/5.

10. Net change = 4, Average change = 2/3.

Given two points on the graph of f(x), (a,f(a)) and (b,f(b)), the net change would be the contrast between the different f(x) values.

Part 7:

The points on x axis are;

a = 1 and b = 4

f(b) = f(4) = 5

f(a) = f(1) = 3

Thus, net change is; f(b)−f(a)

= f(4) - f(1)

= 5 - 3

net change = 2

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(4) - f(1)]/(4 - 1)

net change = 2/3.

Part 8:

The points on x axis are;

a = 1 and b = 5

f(b) = f(5) = 2

f(a) = f(1) = 4

Thus, net change is; f(b)−f(a)

= f(5) - f(1)

= 2 - 4

net change = -2

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(5) - f(1)]/(5 - 1)

net change = -2/4 = -1/2

Part 9:

The points on x axis are;

a = 0 and b = 5

f(b) = f(5) = 2

f(a) = f(0) = 6

Thus, net change is; f(b)−f(a)

= f(5) - f(0)

= 2 - 6

net change = -4

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(5) - f(0)]/(0 - 5)

net change = -4/-5 = 4/5

Part 10:

The points on x axis are;

a = -1 and b = 5

f(b) = f(5) = 4

f(a) = f(-1) = 0

Thus, net change is; f(b)−f(a)

= f(5) - f(-1)

= 4 - 0

net change = 4

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(5) - f(-1)]/(5 + 1)

net change = 4/6 = 2/3

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There is no such number that has the result is the same number written in base 7 and base 10.

Decimal and Octal numbers:

Decimal system is most familiar number system to the general public. It is base 10 which has only 10 symbols − 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

Whereas octal system is one of the number systems to represent numbers. It is base 8 which has only 8 symbols − 0, 1, 2, 3, 4, 5, 6, and 7.

Given,

When a three-digit number written in base 10 has its final digit moved to the beginning, the result is the same number written in base 7.

Here we need to find all such numbers.

Let abc be the starting number, where the catenated letters represent digits, and not factors like in the product

=> a x b x c

And each of a,b, and c can be elements of the list,

=> {1,2,3,4,5,6,7,8,9,0}

Except a≠0.

Since abc is a base-10 numeral, we can also write it as

=> 10²a + 10¹b + 10⁰c

Which can be expanded as,

=> 100a + 10b + c ----------------------(1)

Moving the last digits to the first slot makes the new number,

=> 100c + 10a + b------------------------(2)

So, here the value c≠0.

We know that, the digits in the base-10 numeral cab are identical to those of the base-7 numeral that is written as cab₇.

In the equation form it is equal to,

=> 7²c + 7¹a + 7⁰b

=> 49c + 7a + b ---------------------(3)

but since we're working in base 7 now, the digits a,b, and c cannot exceed 6.

Now, we want to solve for a, b, and c such that

By equalizing the equations 2 and 3,

=> 100c + 10a + b = 49c + 7a + b

=> 100c + 10a + b - 49c - 7a - b

=> (100 - 49)c + (10 - 7)a

=> 51c + 3a

=> 3 (17c + a)

Both a and c must be positive, but this equation has solution,

=> a = -17c

So there are no positive integers solutions, and hence no such number.

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The gross income over the whole week upon working during the day and at night is; $449.04.

Since, the pay rates during the day and night according to the task content are; $10.05 per hour and $12.01 per hr respectively.

It then means that the total gross total income can be calculated as follows;

(10.05 × 16) + (12.01 × 24)

= 160.8 + 288.24

= $449.04.

Therefore, the gross income over the whole week upon working during the day and at night is; $449.04.

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Answer:  I will really try to get answers just wait

Step-by-step explanation:

Answer: 22 degrees

Step-by-step explanation:

Since the angle 180° is in the third quadrant, subtract 180° from 202°.

Answer:

14

Step-by-step explanation:

g(3)=(3)+3

g(3)=6

f(3)=-(3)-5

f(3)=-8

6-(-8)=14

Answer:

Step-by-step explanation:

Answer:

13/21

Step-by-step explanation:

Solving steps

13/18 × 6/7

Simplify the expression

13/3 × 1/7

Multiply

Solution:

13/21

Alternative Form

0.619047

The answer in simplest form 13/18 x 6/7 = 13/21

To find the answer in simplest form 13/18 x 6/7

Simplify this, multiple nominator to nominator and denominator to denominator

(13 × 6)/(18 × 7) = 78/126

Now, reduce the fraction divide by 6,

we get,  78/126 = 13/21

Therefore, the final answer is 13/21.

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Answer:

3ab

Step-by-step explanation:

Triple means multiply by 3.

The product of ab is simply ab.

Answer: 3ab

Answer:  Theorems About Roots of Polynomial Equations

Step-by-step explanation:

Theorems About Roots of Polynomial Equations

In the given case we can conclude that the polynomial is [tex]-x^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx - 5.5.[/tex]

To create a polynomial with 4 terms, a degree of 6, a leading coefficient of -1, and a constant term of -5.5, we can use the general form of a polynomial:

A "polynomial" is a mathematical expression consisting of variables (or indeterminates) raised to non-negative integer powers, combined using addition and multiplication. Polynomials are fundamental objects in algebra and are used to represent a wide range of mathematical relationships, including functions, curves, and various mathematical concepts.

P(x) = [tex]ax^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx + g[/tex]

Plugging in the given values, we have:

P(x) = [tex]-x^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx - 5.5[/tex]

Remember that the degree of a polynomial is determined by the highest exponent of x.

In this case, the degree is 6.

The leading coefficient is the coefficient of the term with the highest degree, which is -1. The constant term is -5.5.

So, the polynomial is [tex]-x^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx - 5.5.[/tex]

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Answer:

The correct pair matching each type of letter to its correct description would be as follows:

send it to favorably influence employers’ decision on hiring you - thank you letter

state how you meet the job requirements - cover letter

send 3-5 days after submitting your application or résumé - follow-up letter

express your desire to work for a particular company - letter of interest

A 'thank you' letter is a letter written to admit gratefulness for a favor that has been done.  It can also be written in anticipation of a favor to be done. Hence, writing it to a potential employer after an interview is a way of trying to influence the employer's decision on hiring you.

A cover letter, as it relates to job application, is a letter written to express how one meets the requirement for a job. In it, a job seeker would state their qualifications, skills, and experience as it relates to the job they are applying for.

A follow-up letter is usually written to follow up with a situation that one expects that a response should have been given or written just to further emphasize one's interest in something. Writing a follow-up letter after submitting an application for  a job is a way of reminding potential employers of one's desire to take up a job in their firm.

A letter of interest is written to show a desire to work in a particular organization or company irrespective of whether they have got a vacancy.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

The required amount of strawberries eaten by the friend is given as 25 strawberries.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the number of strawberries he eat be x,
According to the question,
Strawberries that his friend eat = 5x - 25
Put x = 10
Strawberries that his friend eat = 50 - 25 = 25

Thus, the required amount of strawberries eaten by the friend is given as 25 strawberries.

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Answer:

[tex]-\frac{6x^4y^3}{z^7}[/tex]

Step-by-step explanation:

[tex]=-6x^4y^3\frac{1}{z^7}[/tex] <- Apply the exponent rule.
[tex]=-\frac{6x^4y^3\cdot \:1}{z^7}[/tex] <- Apply the fraction rule.

[tex]=-\frac{6x^4y^3}{z^7}[/tex]

Answer: -6

Step-by-step explanation:

-4(1)-2=-6

Answer:

f(1) = -6

Step-by-step explanation:

Hello!

Substitute 1 for x in the equation.

f(1) is -6.

1. The values which the given number sentences true are:

a) 11 b) 5 c) 36

2. After substituting the value of  x we get the value for y as :

a) 6 b) 0 c) 7 d) 15

3. The number sentences are :

a) x ₋ y = 25

b) 5 × p = q ÷ 2

c) 2y ₋ 14 = 6

d) 15 × 4 = 4 ₋ (x₊y)

Given in the first bit we need to find the variables:

a) h ₊ 8 = 19

arrange the constants on one side.

h = 19 ₋ 8

h = 11

b) 2p ₋ 6 = 4

arrange the constants on one side.

2p = 4 ₊ 6

2p = 10

p = 10/2

p = 5

c) 1/3 y = 12

cross multiply.

y = 36

Now in the second exercise we are asked to substitute the x value and get the value of y.

a) y = 3x ₊ 2 if x =8

substitute x value in the equation.

y = 3(8) ₊ 2

y = 24 ₊ 2

y = 26

b) y = 4x ₋ 1 if  x = 1/4

y = 4(1/4) ₋ 1

y = 1 ₋ 1

y = 0

c) y = 0.2x ₊ 5 if x = 10

y = 0.2(10) ₊ 5

y = 2 ₊ 5

y = 7

d) y = 10x ₊ 12 if x = 0.3

y = 10(0.3) ₊ 12

y = 3 ₊ 12

y = 15

In the last third bit we need to frame equations for the given word problems.

a) The difference between two numbers is 25.

let the two numbers be x and y.

x ₋ y = 25.

b) The product of 5 and p is equal to quotient of q and 2.

5 × p = q ÷ 2

c) The difference between 14 and 2y is equal to 6.

2y ₋ 14 = 6

d) The product of 15 and 4 is equal to four less than the sum of x and y.

15 × 4 = 4 ₋ (x₊y)

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Answer: Answer is 0.52

Step-by-step explanation:

So we have the fraction 13 Out of 25.

step 1: here we divide numerator(which is 13) by denominator(which is 25).

step 2: first we make denominator 100 by multiplying by 25 with 4 and also 13 with 4.

ie. [tex]\frac{13 * 4}{25 * 4}[/tex]

step 3: we get [tex]\frac{52}{100}[/tex]

step 4: now we can easily write the decimal fraction. ie. 0.52

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Step-by-step explanation: See attached step by step

Answer:

BC = 12

Step-by-step explanation:

from the diagram

AB + BC = AC , that is

18 + BC = 30 ( subtract 18 from both sides )

BC = 12

The 55 miles can be written as 24.4m/s.

A Rate is a special kind of ratio that is used to show the comparison of two different units of measurments. a ratio compares the same units

A rate is a ratio because it compares two numbers yet a ratio cannot be a rate because it only compares the same unit.

one common type of rate is per unit time

1 mile has 1600 meters.

distance= 55×1600= 88000m

Time= 1 hour= 3600 second.

speed is euqal to distance upon time.

88000÷ 3600 = 24.4m/s

so the 55 miles can be written as 24.4m/s.

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For the graphed parabola we can see that the maximum is at (3, 2), then the x-value is x = 3.

For a function f(x), we define the maximum as a value y = f(x₀), such that:

f(x₀) ≥ f(x) for every value in the domain.

In the case of the graph is really easy to identify the maximum, in this case, it is in the vertex of the parabola.

We can see that the maximum is on the point (3, 2)

Then it is at x = 3, y = 2, from that, we can see that the x-value of the graphed function is x = 3.

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Answer:

Step-by-step explanation:

4 rides

Answer:

4 rides is the answer to this question

Answer:

The least common multiple of 12, 27 and 30 is 540.

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In a standard normal distribution the probability of z being less than or equal zero is 0.5.

The standard normal distribution, also known as the z-distribution, is a type of normal distribution with a mean of zero and a standard deviation of one.

Some key features regarding the standard normal distribution are-

Now, as per the given question;

The mean of a standard normal distribution is 0.

Because this distribution is symmetric, the median is also equal to 0.

So, P ( z ≤ 0 ) = P ( z ≤ median ) = 0.5

Therefore, the standard normal distribution the probability of z being less than or equal zero is 0.5.

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The number line for √15 is shown in the figure and the value of √15 is approximately 3.87298.

Number line:

Number line used for visual representation of numbers on a straight line.

Given:

Here we need to locate and plot √15 on a number line.

Steps for the construction:

Step 1) Draw a line AB that is 15 in length, and then add 1 to C so that the distance from A to C is 16.

Step 2) From the midpoint of A C on the line, use your compass and make a half circle from A to C.

Step 3) Draw a vertical line up from B until it touches the red half circle you made in Step 2.

Step 4) From B on the number line, use your compass and make a quarter circle from D to E.

The square root of 15 is the distance from B to E. To make things clearer, we have also created the illustration below showing where B, E, and the square root of 15 are located on the number line, labeled with numbers instead of the half circle, quarter circle and vertical line.

Based on the steps the number line is looks like,

Therefore, The square root of 15 (√15) is approximately 3.87298.

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========================================================

Explanation:

We have these points

Focus on the x coordinates for now.

The x coordinates of A and B are -3 and x in that order. Add them up and divide in half to get the x coordinate of the midpoint M

(-3+x)/2 = 1

-3+x = 2*1

-3+x = 2

x = 2+3

x = 5

Repeat for the y coordinates

(6+y)/2 = 2

6+y = 2*2

6+y = 4

y = 4-6

y = -2

Therefore, the location of point B is (5, -2)

You can use a tool like GeoGebra to check your work.

Answer:

∠ N = 10° , arc RS = 134°

Step-by-step explanation:

the measure of an inscribed angle is half the measure of its intercepted arc.

(5)

∠ N is an inscribed angle and we require arc LM

the measure of the arcs in a circle = 360°

note LN is the diameter so arc LN = 180°

Then

LM + MN + LN = 360°

LM + 160° + 180° = 360°

LM + 340° = 360° ( subtract 340° from both sides )

LM = 20°

then

∠ N = [tex]\frac{1}{2}[/tex] LM = [tex]\frac{1}{2}[/tex] × 20° = 10°

(6)

∠ Q is an inscribed angle so its intercepted arc is twice its measure

arc RS = 2 × 67° = 134°

A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;

c + f = 13

200c + 650f = 4400

where; c is the number of cans of soup and f is the number of frozen dinners.

Let us denote c as the number of cans of soup and f is the number of frozen dinners.

The total number of items is 13 and so, we can write;

c + f = 13

The total amount of sodium is 4400 mg.  Each can of soup has 200 mg, and each frozen dinner has 650 mg.

200c + 650f = 4400

We can use substitution or elimination to solve the equation for c and f but we are not asked to find it. Thus, we will conclude that;

A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;

c + f = 13

200c + 650f = 4400

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Answer:

Step-by-step explanation:

11970658976

As per given condition first they lost 5yd , second lost 6yd , third lost 8 yd ,so change in position shows lost 19 yd.

As given,

Let x be the total number of yards in the beginning

First down they lost 5 yards, second 6 yd and third 8 yd.

Required equation,

x-5-6-8

= x-19

Negative sign represent the lost of 19 yads.

Therefore, as per given condition first they lost 5yd , second lost 6yd , third lost 8 yd ,so change in position shows lost 19 yd.

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The solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.

According to the given question.

We have a linear equation in two variables 2r - 2p = n.

Here we have to solve the given linear equation 2r - 2p = n in two variables for p.

So, the solution of the equation 2r - 2p = n for p is given by

2r - 2p  = n

⇒ 2(r - p) = n    (taking 2 as a common)

⇒ r - p = n/2     (dividing both the sides by 2)

⇒ r - n/2 - p = 0     (subtracting n/2 from both the sides)

⇒ r - n/2 = p            (adding p both the sides)

⇒ p = r -n/2

Hence, the solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.

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