Someone help me pls!!

The parent function means most basic function in a family.

The term function in math is called as an equation that has only one answer for y for every x.

Here we have to define the term parent function.

The term parent function is known as the simplest function that still satisfies the definition of a certain type of function.

Here for example when we think of the linear functions which make up a family of functions, then the parent function would be y = x.

Here the given function is also known as the simplest linear function.

And these family shares the U-shaped graph called the parabola and they all have a second degree with the highest exponent.

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The derivative of logₐ x (log x with base a) is 1/(x ln a).

Here, the interesting thing is that we have "ln" in the derivative of "log x". Note that "ln" is called the natural logarithm (or) it is a logarithm with base "e". i.e., ln = logₑ.

Further, the derivative of log x is 1/(x ln 10) because the default base of log is 10 if there is no base written.

The derivative of log x (base 10) with respect to x is denoted by d/dx (log x) or (log x)'. Thus,

d/dx(logₐ x) (or) (logₐ x)' = 1/(x ln a)

d/dx(log x) (or) (log x)' = 1/(x ln 10)

d/dx (logₐ x) = 1 / (x ln a)

Substitute a = e on both sides. Then we get:

d/dx (loge x) = 1 / (x ln e)

By the properties of natural logarithms, ln e = 1. So

d/dx (loge x) = 1 / (x · 1)

Thus, d/dx (loge x) = 1.

Replacing loge x with ln x back, we get d/dx (ln x) = 1/x.

Hence, the derivatives of logs are:

d/dx (logₐ x) = 1 / (x ln a) (this is the derivative of common logarithm)

d/dx (ln x) = 1/x (this is the derivative of natural logarithm)

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Answer:

A

Step-by-step explanation:

all interior angles should add up to 180

Answer:14

Step-by-step explanation:

Mariah lost twice so that means she got -3 two times that goes the same for ryan he gets 7 points two times which equal 14

Answer: ryan would have 14 points and mariah would have -6 points

Step-by-step explanation:

Returning to your initial problem, you plug in the value for R, then you solve for C and get C=30.

Assumptions: Each rabbit has one head and four legs, while each chicken has one head and two legs. Then, you may create a few straightforward equations, like C + R = 43 (where C is a chicken, R is a rabbit, and you both have one head).

Then, each C has two legs, and each R has four, making the sum 2C + 4R = 112. A total of 112) people.

Solve it now. C=43 - R

When you solve 2(43-R)+4R=112, you get 86-2R+4R=112, and when you work out the equation, you discover that R=13.

Returning to your initial problem, you plug in the value for R, then you solve for C and get C=30.

To verify, you can test the answer after that.

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The constant of proportionality is 42 grams per egg

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

The weight of 6 eggs is 252 g

The constant of proportionality can be calculated using

Constant = Weight/Number of eggs

Substitute the known values in the above equation, so, we have the following representation

Constant = 252/6

Evaluate

Constant = 42

Hence, the constant is 42 grams per egg

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Stem and leaf diagrams can be used to analyze the shape of the data, determine how dispersed the data are, and observe individual data points.

The options given to us are:

1. Determine how dispresed the data are

2. Observe individual data points

3. Analyze the shape of the data

4. Analyze quantitative data

A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.

A stem and leaf plot is shown as a customised table with the first or final digit of each data value divided into a stem and the remaining digit in a leaf. The stem and leaf plot key is the symbol " | " that is used to display the stem and leaf values.

This, here, the right options are:

Option #1: Determine how dispresed the data are

Option #2: Observe individual data points

Option #3: Analyze the shape of the data

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Stem and leaf diagrams can be used to analyze the shape of the data, determine how dispersed the data are and observe individual data points.

The options given to us are:

1. Determine how dispersed the data are

2. Observe individual data points

3. Analyze the shape of the data

4. Analyze quantitative data

A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.

A stem and leaf plot is shown as a customised table with the first or final digit of each data value divided into a stem and the remaining digit in a leaf. The stem and leaf plot key is the symbol " | " that is used to display the stem and leaf values.

This, here, the right options are:

Option #1: Determine how dispresed the data are

Option #2: Observe individual data points

Option #3: Analyze the shape of the data

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The equation has infinite solutions.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: 3+x=x+3

Clearly the two equations are equivalent and represent the exact same line

and thus the equation holds for any value of x.

The equations has infinite solutions when the graphs are the exact same line.

Hence, The solutions of the equation is infinite.

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The two triangles CBF and EDF are congruent.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

The two triangles are congruent by the conditions are given;

CB // ED and both BD and CE are transversals

The point E will be the image of point C by rotation 180° around point F

The point D will be the image of point B by rotation 180° around point F

Rotation is a kind of transformation;

ΔCBF ≅ ΔEDF

Part 2;

Definition of congruent line segments;

Symmetric property of congruence;

Addition and substitution properties of equality;

Segment addition theorem;

Definition of congruent line segments;

AAS congruence postulate;

The addition property says if A=B, then A+C=B+C. The substitution property says if C=D, then A+C=B+D (D can be substituted for C). IMO, both properties are needed together to get from A=B and C=D to A+B=C+D;

Hence, the triangles CBF and EDF are congruent.

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After the time out each person scored 15 baskets.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Desiree's score was 20 points, and his score was 10 points. Desiree wanted to make the game fairer, so she called a time-out and modified the rules a bit. Desiree explained that for the rest of the game, she would get 3 points per basket, and Nick would get 4 points per basket.

The two equations can be written as:-

3D + 20 = 4N + 10

3D - 4N = -10

D + N = 30

Solve the above equations:-

3D - 4N = -10

4D  + 4N = 120

____________

7D = 110

D = 15

Hence, the score for each person would be 15.

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The given system is the system of two equations.

What is the system of linear equations?

A system of linear equations is a set of two or more linear equations that contain two or more variables. These equations are often used to model real-world situations and to find the values of the variables that make all the equations in the system true.

The tables of ordered pairs represent the points on the graphs of lines q and v. From the tables, we can see that line q can be represented by the equation y = 3x + 9 and line v can be represented by the equation y = -x + 10. Therefore, the system of equations represented by lines q and v is:

y = 3x + 9

y = -x + 10

We can also write these equations in the form of Ax + By = C :

3x + y = 9

-x + y = 10

Where A, B, and C are constants.

It's a system of two equations with two variables, x and y.

Hence, the given system is the system of two equations.

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Alvin's average paddling rate was 6.6 km/h.

We know that,

Speed= Distance/ Time  (solve for distance)

Distance = Speed × Time

To Campsite against the current,

Speed=r-y   ; speed=(r-3)

Time = 8 hours

Distance = (r-3)×8     (equation 1)

From Campsite with the current,

Speed = r + y   ; speed=(r+3)

Time = 3 hours

Distance = (r+3)×3        (equation 2)

Equating equation 1 and equation 2  because distance is same in both case,

(r+3)×3=(r-3)×8

3r+9=8r-24

8r-3r=24+9

5r=33

r=6.6 km/hour.

What does aptitude mean upstream and downstream?

Upstream/Downstream: In the case of water, downstream refers to the direction that follows the stream. Upstream refers to the direction that runs counter to the stream. Speed downstream equals (u + v) km/hr if a boat is moving at u km/hr in still water and v km/hr in a stream.

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= (4x - y)/3 - (x + y)/2

= (4x - 3x - y + y)/6

= (x - y)/6

Answer:

18x+y

Step-by-step explanation:

[tex]4x-\frac{y}{3} - x + \frac{y}{2} \\\6(4x-\frac{y}{3} - x + \frac{y}{2})\\24x-2y-6x+3y\\18x+y[/tex]

I have no idea but I think this is what you're looking for

We can identify the extraneous solutions by checking if the solutions found by solving the equation make the denominator of the fraction equal to zero.

A rational equation is an equation that contains a fraction with a polynomial in the numerator and denominator.

To solve a rational equation, you can use the following steps:

Clear the fraction by multiplying both sides of the equation by the denominator of the fraction.

Solve the resulting equation for the variable.

Check your solutions by plugging them back into the original equation and making sure they are valid solutions.

Identify extraneous solutions by checking if the solutions found by solving the equation make the denominator of the fraction equal to zero. If it does, then the solutions are extraneous and should be rejected.

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If Marsha bought a new car for $21152.25 and picked cost is $2150 and sales tax is $1007.25 , then the base price of Marsha's car is $17995  .

the price that Marsha paid for the car is = $21152.25   ;

the picked cost for the car is = $2150  ;

the sales tax for the car is = $1007.25  ;

the formula to calculate the Marsha's car is = (Amount Paid) - (Picked Cost + Sales tax) ;

substituting the values ,

we get ;

= 21152.25 - (2150 + 1007.25 )

= 21152.25 - (3157.25)

= 17995 .

Therefore , the base price for the Marsha's car is $17995  .

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Answer:

The Lawn Order lawnmower factory can produce 12 lawnmowers in 8 hours. This means that the factory's production rate is 12 lawnmowers per 8 hours. To find how many hours it will take the factory to produce 30 lawnmowers, we can use the formula:

Time = (quantity of work to be done) / (rate of work)

In this case:

Time = 30 lawnmowers / (12 lawnmowers per 8 hours)

To solve the equation we can multiply both sides by 8/12:

Time = (30 lawnmowers * 8 hours) / (12 lawnmowers)

The result is:

Time = 20 hours

So it will take the factory 20 hours to produce 30 lawnmowers.

Answer:

45 hours.

Step-by-step explanation:

The factory makes 12 lawnmowers in 8 hours. You would divide 12 by 8 to see how many they make in 1 hour. That would be 1.5 So, you multiply 1.5 by 30 to get 45.

Answer: 2an+2bm+n

Step-by-step explanation:

2m(4)b−3a(2)n−0.2b(5)m+n−5bm+8na

=8bm+−6an+−bm+n+−5bm+8an

Combine Like Terms:

=8bm+−6an+−bm+n+−5bm+8an

=(−6an+8an)+(8bm+−bm+−5bm)+(n)

=2an+2bm+n

Hank has to complete the job if he works t alone by 1/12 hours.

1/t+7+1/t

=1 /12

Hank can paint a kitchen in the same amount of time in half the time it takes Liya. They can finish the same task in 12 hours if they work together.

Through multiplication by 12t(t+7),

all denominators become equal to 1, 12t + 12(t+7) = t(t+7), and

t2 = -17t -84 = 0.

(tossing out a negative solution for unit measure)

(t + 4) (t -21) = 0 (Henry's time)

Likewise,

calculating 1/28 + 1/21 = 1/12

and 49/(28 21) = 1/12

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When x units are produced, the manufacturer's average cost per item can be The producer produced 200 more things this week than the previous week. The price per item reduced by $0.50 on average.

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Attached is a file explaining a very complex question in which you would need to use the rules of BODMAS and DMAS.

The length of each leg is 8.46/√2 = 6 units.

In a 45-45-90 triangle, the ratio of the hypotenuse to each leg is √2: 1.

If the hypotenuse is 6 units, we can use this ratio to find the length of each leg.

6 (√2) = 6 * 1.41 = 8.46

So the length of each leg is 8.46/√2 = 6 units.

The hypotenuse is the longest side of a right triangle, and it is opposite the right angle. It is the side that is opposite the right angle and is opposite of the 90-degree angle. The two other sides of a right triangle are known as the legs. The length of the hypotenuse can be determined using the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In other words, if a and b are the lengths of the legs, then the length of the hypotenuse c is given by [tex]c = √(a^2 + b^2).[/tex]

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The value of k If one root of the quadratic equation x²+ Kx-8=0 is - 4​ should be 2.

According to the question

Given that,

A quadratic equation x²+Kx-8=0 where one root is -4

If -4 is a root of the equation  x²+Kx-8=0 then if we put -4 in the pace of x we would get the final answer as 0 or in other words, -4 would satisfy the equation x²+Kx-8=0.

Hence,

⇒   x²+Kx-8=0.

⇒   (-4)²+ K(-4) - 8 = 0

⇒   16 -4k - 8 = 0

⇒   8 - 4k = 0.

-4k which is on the Left-Hand Side of the equation would be shifted to the Right-Hand Side of the equation and its sign would change from -4k to +4k.

⇒   8 = 4k.

⇒  k = 2.

Thus, The value of k If one root of the quadratic equation x²+ Kx-8=0 is - 4​ should be 2.

Which of the following is the value of k If one root of the quadratic equation x²+ Kx-8=0 is - 4​

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Clare's account balance will be $25

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

Since Clare has $150 in her bank account and She buys a bike for$200. That means she overdrew and she will have an overdraft of $50. That is:

account balance now = $150 - $200 = - $50

If she earns $75 next week and then deposits it in her account.

account balance =  - $50 + $75 = $25

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The Equation is x + 80 + 70 = 180 and the measure of x is 30 degree.

Horizontal Angles (Vertically Opposite Angles) The opposing angles created by the junction of two lines are known as vertical angles or vertically opposite angles.

Angles that are vertically opposed to one another are equal. These are referred to as vertical angles at times.

Given:

Since x and y are vertical angles, they are the same.

Now,  the equation to solve for x would be:

x + 80 + 70 = 180

Now, solving for x we get

x + 150 = 170

x= 180- 150

x= 30

Hence, the measure of x is 30.

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The best estimate for the perimeter of the triangle is the sum of the length of all three sides, which would be 8+12+14 = 34 units.

The best estimate for the perimeter of the triangle can be found by adding up the length of all three sides. To begin, we will find the length of each side. Side A is 8 units, side B is 12 units, and side C is 14 units. Next, we will add up the length of all three sides, which will give us the total perimeter of the triangle. To calculate the total perimeter, we will add together 8+12+14, which will give us a total of 34 units. This is the best estimate for the perimeter of the triangle.

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Answer:

75 degrees

Step-by-step explanation:

Its an corresponding angle

Answer:

Step-by-step explanation:

area of a circle formula is πr²

Find area of the larger and smaller circles and then subtract to find the shaded region. π = 3.14

area of the larger circle = π (11.5)²

                                      3.14 (132.25)

                                      415.265 units²

area of the smaller circle = π (5.5)²

                                           3.14(30.25)

                                           94.985 units²

subtract:   415.265 - 94.985 = 320.28 units²