The given algebraic equation formula i.e., [tex](a^{2} -b^{2} )=(a+b)(a-b)[/tex] is verified for the given values of a and b of -3 and -5 respectively.
As per the question statement, we are supposed to verify the algebraic equation formula
[tex](a^{2} -b^{2} )=(a+b)(a-b)[/tex]
We are given that a = -3 and b = -5
Now substituting the values of a and b in the algebraic equation formula
[tex](a^{2} -b^{2} )=(a+b)(a-b)\\LHS = (a^{2} -b^{2} )\\LHS= ([-3]^{2} -[-5]^{2} )\\LHS=(9-25)\\LHS = -16[/tex]
LHS = Left hand side of the equation
Now considering RHS i.e., Right hand side
[tex]RHS = (a+b)(a-b)\\RHS = ([-3]+[-5])([-3]-[-5])\\RHS= (-8)(2)\\RHS = -16[/tex]
As Left Hand Side LHS = Right Hand Side RHS
Hence the equation, [tex](a^{2} -b^{2} )=(a+b)(a-b)[/tex] is verified for the given values of a and b and is true for all real values of a and b.
Algebraic Equation: The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, root operations.To learn more about algebra and equations, click on the link given below:
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Can dilations be used to form scale copies of a figure?
Yes
No
Sometimes
This was not in the iReady lesson
Answer:
sometimes
Step-by-step explanation:
There are several ways that dilation is used in real life. Here are several:
In graphic design. I actually do some graphic design, and I use dilation a lot. It is common to dilate photos to fit the space that you want it to fit.
In police work and crime investigation. Detectives and police dilate photos to see smaller details and evidence.
In architecture. It is normal for architects to make a prototype of their design or building. In order to make the building true to the prototype, they must dilate the scale and measurements.
In the doctor's office. Dilation is used in eye exams so that the eye doctor can view the patient's eye better. After a while it will slowly reduce in size and return back to normal.
Point L is on line segment KM. Given KL
length KM.
=
15 and LM = 3, determine the
Step-by-step explanation:
ano po ? pwede e bou nyo yong Tanong
what is the monthly payment for a 12,300 4 year loan with an APR of 5%
Answer:
10,877
Step-by-step explanation:
Write an absolute value equation that has the solutions x = -6and x = 10
Doctor smith wants to know how many veterinary students decide to pursue a career as a small animal practitioner. there are 27 veterinary schools in the usa, so he decides to randomly select 10% of the students from each school and asks them where they intend to practice one they finish veterinary school. is this an example of a simple random sample?
Yes , this is an example of Simple Random Sample because every student from 27 veterinary schools has an equal chance of getting selected.
Simple random sampling can be defined as the process of studying about large population by taking a small subset/sample.
In this method there is equal chance of every member of population to get selected.
According to the question there is equal chance for every student to get selected by Doctor smith.
Therefore , Yes , this is an example of Simple Random Sample because every student from 27 veterinary schools has an equal chance of getting selected by Doctor smith.
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I don't understand this and I can't go to school I have covid
E. Sketch the graph of the following functions. Make a table of values.
The table for each function is presented below and its graphs are attached in this answer.
Function 1
x 3x-5
-2 -11
-1 -8
0 -5
1 -2
2 1
Function 2
x -x+3
-2 5
-1 4
0 3
1 2
2 1
Function 3
x x²-2x+1
-2 9
-1 4
0 1
1 0
2 1
Function 4
x -3x²+1
-2 -11
-1 -2
0 1
1 -2
2 -11
Linear Function
An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:
a= the slope. It can be calculated for [tex]a=\frac{\Delta y}{\Delta x}[/tex] .
b= the constant term that represents the y-intercept.
For solving this question, you should plot the points from the given equation and after that draw a line.
What is a Quadratic Function?The quadratic function can represent a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
Function 1First column represents the value of x and the second column represents the value of the function for each value of x
x 3x-5
-2 -11
-1 -8
0 -5
1 -2
2 1
See the figure graph1.
Function 2First column represents the value of x and the second column represents the value of the function for each value of x
x -x+3
-2 5
-1 4
0 3
1 2
2 1
See the figure graph2.
Function 3First column represents the value of x and the second column represents the value of the function for each value of x
x x²-2x+1
-2 9
-1 4
0 1
1 0
2 1
See the figure graph3.
Function 4First column represents the value of x and the second column represents the value of the function for each value of x
x -3x²+1
-2 -11
-1 -2
0 1
1 -2
2 -11
See the figure graph4.
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algebra, im so confused
By analyzing and understanding the graph of the absolute value function, we find that the function evaluated at the x-value equal to 1 is equal to the y-value equal to 3.
What is the y-value associated to a given x-value of an absolute value function?
In this problem we find the representation of an absolute value function, where the horizontal axis corresponds to the values of the domain, whereas the vertical axis is for the values of the range. In that picture we must look up for the y-value associated with a given x-value.
Then, we proceed to evaluate the absolute value function at x = 1. In accordance with the graph, the y-value , that is, from the vertical axis, associated with the x-value, that is, from the horizontal axis, equal to 1 is equal to a value of 3.
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Write the equation for the horizontal line that contains point G(4, 8).
Oy=8
O x = 8
O x = 4
O y = 4
Answer:
y = 8
Step-by-step explanation:
A horizontal line will have the form y = k where k is a constant and determines the distance from the x axis. All points on this line will have a constant y value for all x values
Since the line passes through (4,8) we have y = 8 as the equation for the line
45h + 1895 = 5000
What is the value of H
Answer:
69
Step-by-step explanation:
45*69+1895=5000
Answer:
h = 69
Step-by-step explanation:
45h + 1895 = 5000 ( subtract 1895 from both sides )
45h = 3105 ( divide both sides by 45 )
h = 69
Which of the following is equivalent to the expression x² - 64?
A) (x-8)²
B) (x-64)²
C)(x-8)(x-8)
D) (x+8) (x-8)
Cynthia Besch wants to buy a rug for a room that is 23 ft wide
and 33 ft long. She wants to leave a uniform strip of floor around
the rug. She can afford to buy 651 square feet of carpeting.
What dimensions should the rug have?
Answer:
21 feet wide and 31 feet long
Step-by-step explanation:
HELP ME PLEASEEEE!!!!
Answer:ACF
Step-by-step explanation:
HELP!!! what is the quadratic formula????
53 + 28 help this is for my sister so she can "get" brainliets
Answer:
Alright, 53 + 28 = 81
Answer:
81
Step-by-step explanation:
Hi you guys. Did I do this right ? I got 18
Answer:
the answer seems right to me
6.
Part A: Annotate the expressions.
Expression C
20-(-3)
Expression D
-20-(-3)
Part B: How are the expressions similar?
Part C: Explain the steps you would take in simplifying
Expression D.
Answer:
expression d is your right answer
Question 6(Multiple Choice Worth 1 points)
(02.05 MC)
If the parent function f(x) = [x] is transformed to g(x) = |x-31, what transformation occurs from f(x) to g(x)?
O The graph of f(x) is shifted upward to create g(x).
O The graph of f(x) is shifted downward to create g(x).
O The graph of f(x) is shifted to the right to create g(x).
O The graph of f(x) is shifted to the left to create g(x).
Using translation concepts, the correct option is given as follows:
The graph of f(x) is shifted to the right to create g(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the functions are given as follows:
f(x) = |x|.g(x) = |x - 31|.That is, g(x) = f(x - 31), hence the function was shifted 31 units to the right and the correct option is given by:
The graph of f(x) is shifted to the right to create g(x).
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y varies directly as the square root of x, and y = 12, when x = 49. Find the value of y when x = 225.
Answer:
180/7
Step-by-step explanation:
Direct variation:
y varies directly as k
y = kx
y varies directly as √x
y = k√x
We need to find k. We use the given data to find k.
y = 12 when x = 49
12 = k√49
12 = 7k
k = 12/7
The equation of direct variation is
y = (12/7)√x
x = 225
y = (12/7)√225
y = (12/7)(15)
y = 180/7
help with
absolute value functions
The method of altering a graph to produce a different version of the one that came before is known as graph transformation. The graphs are movable in the x-y plane and can be translated. Along with these modifications, they can also be stretched.
Horizontal stretching
Vertical stretching
Vertical translation
Horizontal translation
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Find the Perimeter of the figure below , composed of a rectangle and a semicircle Round to the nearest tenths place.
The perimeter of the figure is 53.7.
What is perimeter?Perimeter can be defined as the total distance around a object.
To calculate the perimeter of the the figure below, we use the formula below.
Formula:
P = 2l+w+πw/2.......... Equation 1From the diagram,
Given:
l = 14w = 10π = 22Substitute these values into equation 1
P = (2×14)+10+(3.14×10/2)P = 28+10+15.7P = 53.7Hence, the perimeter of the figure is 53.7
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Evaluate the expression.
10+(9×6)+(9×1)
Answer:
73
Step-by-step explanation:
10+(9×6)+(9×1)
10+54+9
=73
65 POINTS!!!
Given g(x) = −4x + 4, identify the domain, range, and x-intercept of the function.
A)Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (1, 0)
B)Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (−1, 0)
C)Domain: −4 < x < 4; Range: − 4 < y < ∞; x-intercept (1, 0)
D)Domain: −4 < x < 4; Range: −∞ < y < 4; x-intercept (−1, 0)
The domain of the function is -∝ < x < ∝, the range of the function is -∝ < y < ∝, and the x-intercept of the function is (-1, 0)
How to identify the domain, range, and x-intercept of the function?The equation of the function is given as
g(x) = 4x + 4
The function g(x) is a linear function.
There is no restriction on the input values and output values of a linear function
This means that the domain and the range of a linear function are the set of all real numbers
Set g(x) to 0, to determine the x-intercept
So, we have
4x + 4 = 0
Divide through by 1
So, we have
x + 1 = 0
Evaluate the like terms
x = -1
Hence, the domain of the function is -∝ < x < ∝, the range of the function is -∝ < y < ∝, and the x-intercept of the function is (-1, 0)
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Answer: Your answer is B darling.
Step-by-step explanation:
Pls help asap!! due in a hour:( thanks in advance
Answer: 8oz of the 20% and 12oz of the 70%
Step-by-step explanation:
(20*x) + (70*(20-x)) / 20 = 50
(20x +1400-70x) / 20 =50
20x +1400-70x = 1000
50x=400
x=8
20-8=12
-5(7x-9)-6=144 what is the answer.
Answer: x= -3
Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
First you must start by multiplying the parentheses by -5. Once you do that, your equation comes out to -35x+45-6=144. Then you must combine like terms which comes out to -35x+39=144. After that you must get x by itself, so to do that subtract 39 from 144 which comes out to 105. Then you must do the opposite of multiplication and divide 105 by -35 which comes out to x=-3. Hope this helps
A = {-1, 0, 1,...}
What numbers are shown
in set A?
A. Whole numbers
B. Counting numbers
C. Integers
Answer:
C. integers
Step-by-step explanation:
integers are similar to whole numbers : all numbers without any fractional part, but including negative numbers.
whole numbers only include positive numbers (incl. 0) without any fractional part.
natural numbers (I guess, that is the meaning of "counting numbers") are all positive numbers (but without 0) without any fractional part.
so, C is correct, because A contains also -1.
Answer:
B
Step-by-step explanation:
it cat be a whole number because whole number are set of positive number from 0 and above excluding fraction , negative integer or decimal.
integers include both positive and negative numbers excluding fraction and decimal
Briana wrote an integer. The opposite of her integer is -53. Which of these statements about Briana’s integer must be true?
Select two answers.
Group of answer choices
The integer is 53
The integer has an absolute value of -53
The integer is -53
The integer has an absolute value of 53.
Answer:
The integer is 53The integer has an absolute value of 53.Step-by-step explanation:
The opposite of an integer is the negative of that integer.
The absolute value of an integer is its distance from 0
Find the measure of the missing angle.
Answer:
a = 52°Step-by-step explanation:
from the picture is a rigth angle (90°)
take off 38 from 90
90 - 38 = 52°
What is the difference between the value of the 4 in 25.48 and 12.64
The difference between the values of 4 is 0.36.
We need to understand the place value and face value of a digit in a number.
Place value of digit is decided by putting the number of zeroes equal to the number of digits after that digit.
And the face value of a number is the number itself.
Here the two numbers given is 25.48 and 12.64. And we have to find the difference in place value of 4 in the given number.
The value of 4 in 25.48 is 0.40.
The value of 4 in 12.64 is 0.04.
Required difference = 0.40-0.04
= 0.36
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Meena and some friends are going to the movies. at the theater, they sell a bag of popcorn for $5.50 and a drink for $3.50. how much would it cost if they bought 5 bags of popcorn and 7 drinks? how much would it cost if they bought p bags of popcorn and d drinks?
It would cost-
$27.50 for the 5 bags of popcorn.$24.50 for the 7 drinks.What is cost?In common parlance, cost is the monetary value of products and services purchased by producers and consumers.
Cost is the measure of a alternative opportunities foregone when one good or activity is chosen over others in a basic economic sense. This fundamental cost is commonly known as opportunity cost.Total cost refers to all expense incurred in achieving a specific level of output; dividing such total cost by the quantity generated yields average or unit cost.Total cost = (fixed cost) x Number of units produced.
The cost of a bag of popcorn for $5.50.
The number of popcorn bags bought are 5.
Total cost for 5 bags of popcorn are-
$5.50 ×5 = $27.50.
Thus, Total cost for 5 bags of popcorn bags are $27.50.
The cost of 1 drink is $3.50.
The total number of drinks bought is 7.
Total cost = $3.50×7 = $24.50
Thus, the total cost for the drinks is $24.50.
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