The reason behind the name of parent function is the simplest function that still satisfies the definition of a certain type of function.
The term function is known as the special relationship where each input has a single output.
Here we need to define the reason behind the name of parent function.
Basically the term parent function is known as each member of a family of functions is related to its simpler, or most basic, function sharing the same characteristics.
Here the function is also called the parent function and it includes some of the basic characteristics of linear, quadratic, square root, absolute value and reciprocal functions.
As we all know that a family of functions is a set of functions whose equations have a similar form where as the parent function of the family is the equation in the family with the simplest form.
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In most cases, the product of a monomial and a binomial is a ___.
In most cases the product of a monomial and binomial is a binomial.
A monomial has one term, a binomial has two, a trinomial has three, and a polynomial contains one or more terms.
A monomial is a single-term algebraic expression that can also include several variables and a higher degree.
The algebraic statement with only two terms is known as a binomial expression. It is a polynomial with two terms. It is also known as the sum or difference of two or more monomials. It is the most basic form of a polynomial.
A binomial is always the product of a monomial and a binomial. For instance, multiply 5x by the binomial (5x+4). Then we have. 5x(5x+4)=25x2+20x. (By using distributive law)
A trinomial is the product of two binomials.
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The number of rats living in an abandoned building increase each year. The total number of rats can be described by this sequence:
Answer:
I believe the answer to be increasing by increments of times 3 x3
What is two rays sharing a common endpoint?
A)angle
B)circle
C)triangle
D)line segment
Answer:
A) angle
Step-by-step explanation:
This is a definition.
Encontrar el área del rectángulo. f(x)=x2 n=4
Para calcular el área de un rectángulo multiplicamos el largo por el ancho.
¿Qué es el area?The area is the space inside a two-dimensional figure. We can also consider the area as the amount of space that surrounds the figure. Reaction of the Right Angle: Long and Sharp
Area = largo anchostart text, A, with, ', on top, r, e, a, end text, equals, start text, l, a, r, g, o, end text, times, start text, a, n, c, h, o, end text =62Area = largo anchostart text, empty space, equals, 6, times, 2=12 cuadradas
Area equals 12 square units
start text, space, u, n, I d, a, d, e, s, space, c, u, a, d, r, a, d, a, s, end text, empty space, equals,
Example 2: "Area=largo"anchostart text, "A," "with," "on top," "equals," "l," "a," "r," "g," "o," "end text," "times," and "l".
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What would be the degree of financial leverage for Foggy Futures Weather Forecasters if the company has earnings before interest and taxes of $750,000, has a 4. 5% loan on $1,000,000, and is in the 38% tax bracket? The firm does not have any preferred stock outstanding. A. 1. 22 b. 0. 97 c. 1. 06 d. 1. 78
The degree of financial leverage for Foggy Futures Weather Forecasters
is 1.06
Degree of Financial leverage (DFL) = (EBIT) / (EBT)
Earnings Before Interest and Taxes (EBIT) = $750,000
Amount to be given as loan on $1000000
$1,000,000 x 4.5% = $1,000,000 x 4.5/100
= $45000
To find EBT ( Earnings Before Tax),
EBT = EBIT - 45000
= 750000 - 45000
EBT = 705000
∴ DFL = (EBIT) / (EBT)
= 750000/705000
DFL = 1.06
The DFL is a percentage that accountants and financial professionals use to show changes in a company's net income due to changes in its profits before interest and taxes (EBIT).
Earnings before interest and taxes (EBIT) is a measurement of a company's profit in accounting and finance that takes into account all revenues and costs (both operating and non-operating), with the exception of interest costs and income tax costs.ve
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Please do step by step please hurry quickly
m∠ABC=(8x−48)°, m∠ABD=44°
The value of x given that m∠ABC=(8x−48)° and m∠ABD=44° is 23°.
How to calculate the value of x?From the information, it should be noted that we are informed that m∠ABC=(8x−48)° and m∠ABD=44° depicts the angle in a straight line. It's important to note that the value of the angle on a straight line is 180°.
In this case, we are going to add the angles that are given and then equate them to 180°. This will be:
8x - 48 + 44 = 180
8x - 4 = 180
8x = 184
Divide
x = 184 / 8
x = 23°
The value of x is 23°.
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Complete question
If m∠ABC=(8x−48)° and m∠ABD=44° depicts the angle in astraight line. Find the value of x.
1/4+ 5/8 = i need help pls
Cannoli explain this to me
What are the 4 steps of division?
A grocery store is offering a sale on bread and soup
The equations for both Khalil's and Ronda's purchase is given below:
The price of one loaf of bread is $3.44
How to solve this?4 cans and 3 loaves=11.67
8 cans and 1 loaf= 12.89.
Set up the equation:
x=cansy=loaves4x + 3y = 11.678x + y = 12.89These are the equations for both Khalil's and Ronda's purchases.
If we solve for x in the equation, the answer would be $3.44
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A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and
three loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.
Homework. Help
a. Write equations for both Khalil's and Ronda's purchases.
b. Solve the system to find the price of one can of soup and the price of one loaf of bread
Find the volume of the surface area of the right circular cylinder
6in and 3in
Volume~ *answer*
Use 3.14. round to the nearest tenth
The volume of the right circular cylinder of height 6 inches and base radius 3 inches is about 169.6 cubic inches.
What is a right circular cylinder?A right circular cylinder is a solid that has two parallel circular plane surfaces at the top and bottom part of the cylinder, and a curved closed surface perpendicular to and joining the top and bottom circular surfaces
The volume of a right circular cylinder can be found using the formula;
V = π·r²·h
Where;
r = The radius of the cylinder
h = The height of the cylinder
π = 3.14
The dimensions of the cylinder are 6 inches and 3 inches
Whereby the height of the cylinder, h = 6 inches, and the radius of the cylinder, r = 3 inches, we get;
Volume of the right circular cylinder, V = 3.14 × 3² × 6 ≈ 169.6
The volume of the right circular cylinder, V = 169.6 in³
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Which of the following is the slope of a line given the equation 3x y 6?Find the slope of line given the equation1. 3x-y=6
The slope of the line given by the equation 3x-y=6 is -3.
The slope of a line can be calculated by using the formula m = (y2 - y1) / (x2 - x1). In this formula, m represents the slope of the line, y represents the y-coordinate of the two points, and x represents the x-coordinate of the two points.
For the equation 3x-y=6, we can substitute the two points (0,6) and (2,0). This means that for the formula, y1 = 6, y2 = 0, x1 = 0, and x2 = 2. Substituting these values into the formula, we get m = (0 - 6) / (2 - 0), which simplifies to m = -6 / 2, or m = -3. Therefore, the slope of the line given by the equation 3x-y=6 is -3.
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Solve the following compound inequality. Give your answer in simplified interval
notation.
7x + 20 < - 15 and x + 7 > 0
The interval notation for 7x + 20 < - 15 and x + 7 > 0 is (-∞,∞).
What is interval notation?
By using the numbers that bound them, interval notation can be used to express continuous sets of real numbers. Written intervals resemble ordered pairs to some extent. But they don't necessarily signify a certain idea. In contrast, they are intended to serve as a concise manner to express an inequality or set of inequalities.
In order to find the interval notation, we need to solve the inequalities.
So, we are given
⇒7x + 20 < - 15
⇒7x + 20 - 20 < -15 - 20 (Subtracting 20 on both sides)
⇒7x < -35
⇒7x/7 < -35/7 (Dividing by 7 on both sides)
⇒x < -5
The interval notation is (-∞,-5).
Next we have,
⇒ x + 7 > 0
⇒ x + 7 - 7 > 0 - 7 (Subtracting 7 on both sides)
⇒ x > -7
The interval notation is (-7,∞).
Hence, the interval notation for 7x + 20 < - 15 and x + 7 > 0 is (-∞,∞).
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if an object travels at 5 ft/second, how many feet does it travel in 1 hour? question 10 options: 30 feet 720 feet 18,000 feet 300 feet 1800 feet
Using the speed calculation formula, we can conclude that the object travels 18000 feet.
in speed calculation, there's a relation between speed, distance, and time. Speed is the distance traveled in a certain unit of time. Speed can be calculated by dividing the distance by time:
Speed = distance / time
From the problem we can obtain some information:
speed = 5 feet/second
time = 1 hour
To calculate the distance, we can do as follows:
distance = speed * time
= 5 feet/second * 1 hour
To finish this operation, we must change the unit of time so that align with the unit of speed.
1 hour = 3600 seconds
Then we go back to the distance calculation:
distance = 5 feet/second * 1 hour
= 5 feet/second * 3600 seconds
= 18000 feet
Thus the object travels 18000 feet.
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You pick a random card 2 3 4 5 what is p (not 4 )
The probability that the picked card is not 4 is 3/4.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Probability is calculated by dividing the number of desirable outcomes by the total number of outcomes.
Here, there are 4 cards 2, 3, 4 and 5.
Total number of cards = 4
Number of cards that has 4 = 1
Probability (4) = 1/4
Probability (not 4) = 1 - Probability (4)
Probability (4) = 1 - 1/4 = 3/4
Hence there is a probability of 3/4 where the picked card is not 4.
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Could I get some help please?
Please add an explanation if possible.
Answer:
[tex] \mathsf{P = 45,230 {(1 + 0.02)}^{t} }[/tex]
Step-by-step explanation:
Since P is growing every year at the rate of 2%.
It's an case similar finding of compounds interest.
that why we are using the formula of compounds interest in this situation.
In circle F, m/GFH = 140° and the area of the shaded sector = 14π. Find the length of FG.
Answer: 450 inches
Step-by-step explanation:
9/14 plus 11/21 fully reduced
1 and 1/6
u have to find the LCM and multiply that by the numerator and then add them together, u would then get 7/6 and that simplified is 1 and 1/6
PLSS HELPPP
find the range of the function f(x)=x^2 -3/ 2 when the domain is {0,1,2,3}
Try graphing the function to determine the range if you are unable to solve for x. Vertex of x² - 3 / 2 : Minimum (0,-3/2) .
How to find the calculation?f(x)=x^2 -3/ 2
When you solve the equation for x, you get something of the form x=g. Write down y=f(x) after that.
The range of f(x) is determined by the domain of g(y), which you should find.
Try graphing the function to determine the range if you are unable to solve for x.
Domain of x² - 3 /2:
Solution : -∝ < x < ∝
Interval Notation ; ( - ∝ ,∝)
Range of x² - 3 / 2 :
Solution :f(x) ≥ - 3 / 2
Interval Notation : -3/2 ,∝
Axis interception points of x² - 3 /2 :
X intercepts : ( √3,0) , ( - √3,0)
Y intercepts : (0,-3/2)
Vertex of x² - 3 / 2 :
Minimum (0,-3/2) .
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If the rule is to start at 3/8 and add 3/16, what would be the 4th term in the sequence?
Answer:
15/16
Step-by-step explanation:
3/8 = 6/16
6/16+3/16=9/16
9/16+3/16=12/16
12/16+3/16=15/16
World Connections long-distance phone company charges $50 per month plus 10 cents per minute for
each call.Write a linear equation for the total monthly cost of C for t minutes of long-distance calls.
A linear equation for the total monthly cost of long-distance calls, C, for t minutes is C = 50 + 0.1t.
What is a linear equation?A linear equation is an algebraic or mathematical equation.
Linear equations are written in the form of y=mx+b.
In this linear equation, y equals the value of the equation, m is the slope (unit rate), x represents the variable (a first-order term), and b is the y-intercept (fixed rate), which is always a constant.
The fixed cost monthly for long-distance phone calls = $50
The charge per minute = $0.10
Let the minutes of long-distance calls = t
Let the total monthly cost = C
Equation:C = 50 + 0.1t
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Create an equivalent expression for 1.5 cubed over 1.6 raised to the fourth power all raised to the power of negative seven.
The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative seven is ((1.5³/1.6⁴)⁻7
Exponent and expressionsGiven the following statement
1.5 cubed over 1.6raised to the fourth power all raised to the power of negative seven
1.5 cubed over 1.6 is expressed as 1.5³/1.6
If the expression is all raised to the fourth power, hence;
(1.5³/1.6)⁴
If the final expression is raised to the power of negative seven then we have;
((1.5³/1.6)⁴)⁻7
The equivalent expression for 1.5 cubed over 1.6 raised to the fourth power all raised to the power of negative seven is ((1.5³/1.6)⁴)⁻7
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Identify the parent function for the function g(x)=x-3 from its function rule. Then graph g and identify what
transformation of the parent function it represents.
O quadratic, translation down 3 units
O linear, translation up 3 units
O quadratic, translation up 3 units
O linear, translation down 3 units
Transformation of the parent function it represents, linear translation down 3 units.
What are the steps to determining a graph's parent function and transformation?By modifying the value of x (for example, y(x) = x + 2) or by multiplying x by a constant (for example, y(x) = 3x), you can examine the graphs of linear functions. Do not forget that y(x) = x is the linear parent function. Its most fundamental and straightforward form is this.
The graph of y = f (x - h) is translated h units to the RIGHT of the graph of the parent function if h > 0, and it is translated h units to the LEFT if h 0.
as in f(x) = ( x – 3)
The graph of y=f(x-h) is a translation of |h| units to the LEFT of the graph of the parent function if h 0; otherwise, it is a straight line.
Example: f(x) = (x + 4).
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What is the scale factor of the dilation shown? 
the scale factor will be √5.
What is dilation?
resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ. A dilatation ought to either extend or contract the original form. The scale factor is a phrase used to describe this transition.
The scale factor is defined as the difference in size between the new and old images. An established location in the plane is the center of dilatation. The dilation transformation is determined by the scale factor and the center of dilation.
The given figure ABCD dilated to A'B'C'D'
take DC =√ (9-13)² + (4-7)²
DC = √16+9= 5
D'C' = √(4-6)²+(3-4)²
= √5
Hence the scale factor will be √5.
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5. Simplify 9 1/3 • 81 1/3
Answer:
759 [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Convert the mixed numbers into fraction ( to make it easier )
Equation:
[tex]\frac{29}{3}[/tex] x [tex]\frac{244}{3}[/tex] <—- Remember these are mixed number ;)
Now we make it into this..
28 x 244
————-
3 x 3
Multiply the top : 6832
Multiply the bottom : 9
Make to fraction——-/\
( [tex]\frac{6832}{9}[/tex] )
Simplify the answer to:
759 [tex]\frac{1}{9}[/tex]
This is an incorrect question.
The correct question should be as:
Simplify: [tex]9^{\frac{1}{3}} *81^{\frac{1}{3}}[/tex]
Step-by-step Solution:
[tex]9^{\frac{1}{3}} *81^{\frac{1}{3}}[/tex]
⇒[tex]9^{\frac{1}{3} }[/tex] is the same as [tex]\sqrt[3]{9}[/tex]
⇒[tex]81^{\frac{1}{3} } \\[/tex] is the same as [tex]\sqrt[3]{81}[/tex]
⇒[tex]\sqrt[3]{9*81}[/tex]
⇒[tex]\sqrt[3]{3*3*9*9}[/tex]
⇒[tex]\sqrt[3]{3*3*3*3*3*3}[/tex]
Pull out groups of 3 from underneath the radical:
⇒[tex]\sqrt[3]{9}[/tex] * [tex]\sqrt[3]{81}[/tex]
⇒[tex]\sqrt[3]{729}[/tex]
⇒ 9
Therefore, the correct solution to this question is: 9
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HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
See the attached histogram.
Step-by-step explanation:
Does the table represent a linear or exponential function? Explain.
X- 0,1,2,3
Y- -2,-6,-18,-54
The table represents an exponential function. This is seen as the Y values are multiplied by three for every one X value. A linear function would be adding or subtracting, instead.
What is the value of k in the given equation for which equation has real and equal roots KX² 5x 4 0 *?
When k = -1/2, the equation has real and equal roots of x = 2.
What is equation?An equation is a mathematical statement that two expressions are equal. It consists of two expressions, one on each side of an equal sign. Equations are used to solve problems in mathematics, chemistry, physics, engineering, and other sciences. They can also be used to define relationships between different variables or constants. Equations are an important tool for understanding the world around us.
The value of k in the given equation is -1/2. This is because when k is equal to -1/2, the equation has real and equal roots of x = 2. This can be verified by substituting k = -1/2 and x = 2 into the given equation:
KX² + 5x + 4 = 0
(-1/2) (2²) + 5(2) + 4 = 0
(-1) + 10 + 4 = 0
9 = 0
Therefore, when k = -1/2, the equation has real and equal roots of x = 2.
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At the beginning of the day the stock market 60 1/2 points and stays at this level for most of the day. At the end of the day the stock market goes up 90 3/4 points from the at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
The total change in the stock market from the beginning of the day to the end of the day is 30 1/4 points.
Evaluate the limit, or state that the limit does not exist.
6n² - 2n
2
32² +8
limit as n approaches infinity = ∞
[tex]\lim_{n \to \infty\}[/tex]6n² - 2n/n² +8
How to evaluate the limit in equation? To evaluate a limit in an equation, the first step is to identify the equation and the limit to be evaluated. Next, determine if the limit is an indeterminate form, and if so, use the appropriate algebraic manipulation technique to transform the equation into one where the limit can be determined. If the limit is not an indeterminate form, then use the limit definition to evaluate the expression.If the limit is an indeterminate form, the most common technique is called L'Hôpital's Rule. This technique involves taking the derivatives of both sides of the equation and evaluating the limit again. If the limit still cannot be determined, then the equation must be further manipulated to identify the limit.If the limit can be determined, then substitute the limit into the equation and solve for the result. If the limit cannot be determined, then the limit is indeterminate and the equation is not solvable.In summary, to evaluate a limit in an equation, identify the equation and the limit to be evaluated, determine if the limit is an indeterminate form, and if so, use the appropriate algebraic manipulation technique to transform the equation into one where the limit can be determined. Finally, substitute the limit into the equation and solve for the result.To learn more limit in equation refer to:
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HELP!! NEED THIS ASAP!!!!
There are 3 tables for every 12 chairs in the lunchroom. How many chairs are in the lunchroom if there are 15 tables?
A- 18
B- 27
C- 30
D- 60
Answer:
D
Step-by-step explanation: