The graph of y is vertically compressed by an factor of √8 which is the transformation of the function.
The important technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of the various algebraic equations which is a particular kind of algebraic problem.
A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation can also be thought of as moving the origin of a coordinate system or as adding a constant vector to each point. Any translation in a Euclidean space is an isometry.A geometric object is translated vertically, also known as vertically shifting, when it moves parallel to the y axis of a Cartesian system of coordinates.The base or parent function is y=√8x³+1.
Here the transformed function is y= x³+1.
Therefore the graph is vertically transformed by the factor of √8 .
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Please help thank you
Answer:y=-9x+3
Step-by-step explanation:
In a y=mx+b equation (slope intercept form) like this one m is the slope and b is the y intercept.
Mr. and Mrs. Crone know that in 10 years they are going to help their daughter buy a house. She will need about $20,000 for her down payment. How much should Crone's deposit now into an account that yields 1.25% interest, compounded weekly, in order to have that amount?
Mr. and Mrs. Crone needs to deposit $2164.31 to have $20000 in 10 years.
Finalize the compound growth formula using the amounts. Then equate for the unknown digit.
A = P[tex](\frac{1+r}{n} )^{nt}[/tex]
where A is the account balance, P is the investment amount that needs to be figured out, r is the annual interest rate which is 1.25%, t is the year which is 10 years, and n is the number of annual interest rates which is 52,
Filling in the given values, we have
20000 = P[tex](\frac{1 +.0125}{52} )^{520}[/tex]
20000 = P(0.092403)
P = 20000 ÷ 0.092403
P ≈ 2164.31
Therefore, $2164.31 is required to have $20000 in 10 years.
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Suppose we are given the following.
Line 1 passes through (-2,2) and (2,-8).
Line 2 passes through (0,-1) and (5,6).
Line 3 passes through (4,-7) and (2,-2).
(a) Find the slope of each line.
Slope of Line 1 = 08
Slope of Line 2 =
Slope of Line 3 =
(b) For each pair of lines, determine whether they are
parallel, perpendicular, or neither.
Line 1 and Line 2: OParallel OPerpendicular
Line 1 and Line 3:
Line 2 and Line 3:
Parallel
OParallel
Neither
OPerpendicular Neither
OPerpendicular
Neither
The slope of the line passing through (-2,2) and (2,-8) is -5/2
The ratio of the "vertical difference" to the "vertical change" between (any) two unique points on a line is used to compute slope.
The ratio can also be written as a quotient ("rise over run"), which produces the same number for every 2 different points on same line. A declining line has a negative "rise." The line might be useful, as determined by the slope, or it might appear in a diagram that represents a road or a roof as a narrative or a design.a)The slope of the line passing through (0,-1) and (5,6) is 7/5 .
The slope of the line passing through (4,-7) and (2,-2) is -5/2 .
b) line 1 and line 2 are perpendicular.
line 3 and line 2 are perpendicular.
line 1 and line 3 are parallel .
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Can someone help with #2 and #4
Answer:
2. See below.
4. Domain = {57, 68, 93, 99}
Step-by-step explanation:
Question 2Given relation:
[tex]\{ (1,5),(2,3),(3,2),(4,1),(5,0)\}[/tex]
The given relation is a set of ordered pairs (x, y), where the first element is x and the second element is y.
To express the given relation as a table, enter the x-value of each ordered pair in the left column, and the corresponding y-value of each ordered pair in the right column:
[tex]\begin{array}{|c|c|}\cline{1-2} x & y\\\cline{1-2}1&5\\\cline{1-2}2&3\\\cline{1-2}3&2\\\cline{1-2}4&1\\\cline{1-2}5&0\\\cline{1-2}\end{array}[/tex]
An ordered pair is used to represent the position of a point on the coordinate plane. Therefore, to represent the given relation as a graph, plot each ordered pair on the given coordinate plane.
(See attachment 1).
To represent the given relation as a mapping diagram:
Place the first element of each ordered pair in the left column entitled "Place".Place the second element of each ordered pair in the right column entitled "Points".Connect each ordered pair with an arrow from its first element to its second element to represent the relation between them.(See attachment 2)
Question 4The domain is the set of all x-coordinates.
Therefore, the domain of the given mapping diagram is {57, 68, 93, 99}.
Karen has 48 inches of ribbon. She wants to place the ribbon along the edge of a rectangular frame that is 12 inches wide and 16 inches long. Will Karen have enough ribbon or will she need more? Explain how you know.
Answer:
no
Step-by-step explanation:
12+16+12+16=56
48 is smaller than 56
compare | -0.125 | and | 0.0125 |
Answer:
| -0.125 | > | 0.0125 |
Step-by-step explanation:
Due to the absolute value signs, the negative sign is null and void. Therefore, 0.125 > 0.0125.
Answer:
0.1375
Step-by-step explanation:
13. A rancher wishes to enclose a rectangular corral with 320 feet of fencing. The fencing is only required
on three sides because of an existing stone wall. What are the dimensions of the corral of maximum
area?
The dimensions of the corral of maximum area 80 x 160 feet
What is Area?
Area is a quantity that describes the extent of an area on a plane or curved surface. The area of a planar region or planar region refers to the area of a shape or planar layer, while surface area refers to the area of an open surface or boundary of a three-dimensional object
Set each side perpendicular to the wall x
Parallel to the wall would be 320-2x
the area would be:
A(x) = x (320-2x)
A(x) = 320x-2x ^ 2
It is quadratic with a = -2 and b = 320
The largest area will happen when x = -b / 2a
= -320 / (- 2 * 2)
= 80 feet
so the width will be 80 feet and the length will be:
length = 320-2 * 80
= 160 feet
Hence, The dimensions of the corral of maximum is 80 x 160 feet
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is accounting interesting? Help plss more idea
Answer: yes it is interesting because u also know more about finance and you would have a much easier life after this
Step-by-step explanation:
The expression below shows a sum multiplied by a factor:
3(2+6D)
Which options are equivalent to the expression above?
Select ALL that apply.
A (3 x 2)+(3 x 6d)
B 6+6d
C 3+2+6d
D 2+ (3 x 6d)
E 6+18d
3(2+6d)
Answer:
A and E
Step-by-step explanation:
I see no other correct answer option.
3(2 + 6D) = 3×2 + 3×6D = 6 + 18D
= (3×2)+(3×6D)
with or without brackets this is the same thing as per the priorities of mathematical operations (first multiplications and divisions, and only then secondly additions and subtractions).
Which is true about the domain and range of a function in the form f(x) = m, where m is a real number greater than 0? The only value that must be in both the domain and range is 0. The only values that must be in both the domain and range are 0 and 1. There are no values that are in the domain and the range. There is an infinite number of values that are in both the domain and range.
There is an infinite number of values that are in both the domain and range.
Here, we are given a function f(x) = m, where m is a real number greater than 0.
For a function, domain is all the input values that the function can take and range is all the output value that the function can take.
Here, all the x values are the domain and the set of all the values that m can take is the range of the function.
Here m can take all values except 0. Whereas there is no constraint on the x values.
Since the range can never have the value 0, options 1 and 2 are eliminated.
Clearly, there can be many values that are both in the domain and range of the given function.
Thus, there is an infinite number of values that are in both the domain and range.
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You can paint 14 feet in 4 minutes and your friend can paint 18 feet in 6
minutes. How many feet total can you and your friend paint in 22 minutes?
The total feet you and your friend can paint in 22 minutes are 143 feet.
What is the unit rate?A unit rate is the rate for only one of anything. This is expressed as a ratio with a denominator of 1.
Given:
You can paint 14 feet in 4 minutes and your friend can paint 18 feet in 6 minutes.
The unit rate for you = 14/4 = 7/2 feet/min
The unit rate for your friend = 18/6 = 3 feet/min
The total feet you and your friend paint in 22 minutes is,
Multiply the 22 feet with the respective unit rates of you and your friend and add them up,
22×7/2 + 22×3 = 77 + 66 = 143 feet
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What is an
equation of the line that passes through the points (4, 0) and (3,1)
URGENT, IT’S LATE
In a game of billiards, a ball travels along the path DB as
shown. Use appropriate postulates, theorems, properties,
or definitions to determine the measure of the angle of re-
flection. Describe how you calculated your value. Be sure to answer in complete sentences.
a claim that is accepted as true without evidence, also referred to as an axiom. Lemmas and theorems are deduced from postulates, which serve as their fundamental building block.
For instance, Euclid's postulates, a set of five postulates, provide the foundation of all of Euclidean geometry.
Why are theorems and postulates crucial in geometry?
The foundation of any mathematical system, including geometry, algebra, and trigonometry, are postulates and theorems. Mathematicians have created entire systems of mathematics by utilizing postulates to argue theorems that can then be proved by other theorems.
A statement that has been proven true or that can be proven is known as a theorem in mathematics. A logical argument that uses the deductive system's inference rules to establish a theorem is called a proof.
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step by step solution to 10x-7y=-8
The x and y-intercept of the linear equation 10x - 7y = -8 in an ordered pair form are ( -4/5, 0 ) and ( 0, 8/7 ) respectively.
How to determine the x and y-intercept of the linear equation?The intercept of a line on a graph is simply the point at which it intersects either the x-axis or y-axis.
Given the data in the question;
10x - 7y = -8x-intercept = ?y-intercept = ?To find the x-intercept, substitute in 0 for y and solve for x.
10x - 7y = -8
10x - 7(0) = -8
10x - 0 = -8
10x = -8
Divide both sides by 10
10x/10 = -8/10
x = -8/10
x = -4/5
Therefore, the x-intercept is ( -4/5, 0 ).
To find the y-intercept, substitute in 0 for x and solve for y.
10x - 7y = -8
10(0) - 7y = -8
0 - 7y = -8
-7y = -8
Divide both sides by the coefficient of y
-7y / -7 = -8 / -7
y = -8 / -7
y = 8/7
Therefore, the y-intercept is ( 0, 8/7 ).
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4
What is the percent of decrease from 4,097.6 to 3,585.4?
Answer:
= 12.5% decrease
Step-by-step explanation:
Decrease = Original Number - New Number
Then: divide the decrease by the original number and multiply the answer by 100.
% Decrease = Decrease ÷ Original Number × 100
Therefore, the answer is 12.5% decrease
After a recycling awareness program, the number of tons of recyclable material taken to the landfill is reduced by 13 7/10 tons per month. Represent the total change in the tons of recyclable material taken to the landfill after 7 months resulting from the awareness program.
PLSS HELP
Answer:
95 9/10 tonsStep-by-step explanation:
GivenReduction in a month = 13 7/10 tons,Number of months = 7SolutionTotal reduction over the given period is the product of the two numbers above:
13 7/10 * 7 = 13*7 + 7/10*7 = 91 + 49/10 = 91 + 4 9/10 = 95 9/10 tonsPlease help I have been reeling over this question forever I’ll mark you brainliest for a correct answer (hint: not 36.1%)
95 % is the percentage of person that have diabetes that also tested positive for the disease.
How to find out the percentage of those that fall under this category.To do this we would have to loot at the top of the table and the information that is at the left hand side of the table.
At the top we have the column that is tagged, test powitive and the test negative columns.
On the side we have the have diabetes and do not have diabetes row. We are interested in the people that have diabetes and also have tested positive to the disease.
On the table, this is tagged as 36.1%
Then the total = 38%
hence we would have
36.1%/38% x 100
= 0.361 / 0.38 x 100
= 0.95 x 100
= 95%
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Using the figure below, Maggie used the definition of vertical angles to help her solve for x. Since vertical angles are congruent, she set the two given expressions equal to each other. After solving for x, her teacher said she got the wrong value for x. Explain where Maggie made her mistake when solving for x.
Maggie made a mistake while combining similar terms of x using vertical angles; the result is -3x rather than 3x, hence the right answer is x = 9.
How do vertical angles work?When two lines intersect, vertical angles are two angles that are opposed by the same vertex and are congruent, meaning they have the same measure.
The vertical angles for this issue are as follows:
4x + 2.
7x - 25.
Since they agree, the following equation may be used to determine the variable x:
4x + 2 = 7x - 25.
The following results from shifting all terms with x to the left side of the equality and all terms that are constant to the right side, with the opposite signal:
4x - 7x = -25 - 2
Combining similar phrases yields the following results:
-3x = -27.
Maggie made a mistake here since 4x - 7x = -3x, thus the proper answer is as follows:
3x = 27
x = 27/3
x = 9.
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I need help on algebra 1 rewriting expression with radicals !
It is required to combine the radicals which can be done as follows:
[tex]\begin{gathered} 5\sqrt[]{27}-17\sqrt[]{3}=5\sqrt[]{3\times3\times3}-17\sqrt[]{3} \\ =5\times3\sqrt[]{3}-17\sqrt[]{3} \\ =15\sqrt[]{3}-17\sqrt[]{3} \\ =(15-17)\sqrt[]{3} \\ =-2\sqrt[]{3} \end{gathered}[/tex]Option D is correct.
Nicky is making cookies. She needs to add 1 1/2 teaspoons of baking soda, but she can only fined 1/4 teaspoons measuring spoon. How many 1/4 teaspoons measures should she use.
Answer:
6
Step-by-step explanation:
1 and 1/2 is equal to 1 and 2/4, or 6/4. This means that it would take 6 teaspoons to add 1 1/2 teaspoons of baking soda. hope this helps!
Your friend uses the order of operations to findthe value of 11(39-3). How could you usethe Distributive Property to show that eithermethod gives the same answer? Explainshowing both methods.
ANSWER AND EXPLANATION:
Given:
[tex]11(39-3)[/tex]Note that the acronym PEMDAS describes the order of operations and each letter stands for;
P - Parentheses
E - Exponents
M/D- Multiplication/Division (from left to right)
A/S - Addition/Subtraction (from left to right)
Following the above order of operations, we can go ahead and solve the expression as seen below;
[tex]\begin{gathered} 11(39-3) \\ =11(36) \\ =396 \end{gathered}[/tex]Using the Distributive Property, we can go ahead and solve the expression as seen below;
[tex]\begin{gathered} 11(39-3) \\ =11*39-11*3 \\ =429-33 \\ =396 \end{gathered}[/tex]We can see from the above that both methods give the same answer.
Mr Arnold bought 10 boxes of oranges for $480 Each box had a dozen oranges He later sold the oranges and made a total profit of $120 What was the selling price of one orange? (giving 30 points for this!!
Answer:
5$
Step-by-step explanation:
480$+120$=600$ 600÷120=5
Using the section of the graph shown, which of
these potential roots of the function should you
test first?
f(x) = 2x³-9x² - 6x + 40
-5
-2
1
8
Polynomial is divisible by x+2, therefore the first root is -2. The second and third roots of the function, we can estimate them utilizing the quadratic equation formula.
What is meant by polynomial function?In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.
Let the given polynomial function be
F(x)=2x³ - 9x² - 6x + 40, the first potential roots are -2, 4 and 5/2.
Solving for the first root, we divide the given function by x+2 where the result is 2x² - 13x + 40.
Since the given polynomial exists divisible by x+2, therefore the first root exists -2.
For the second and third roots of the function, we can estimate them utilizing the quadratic equation formula.
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Which describes the range of the parent absolute value function?
{yly} is a real number}
{yly} is an integer}
{yly ≥ 0}
{yly ≤ 0}
Answer:
{ y l y ≥ 0 }
Step-by-step explanation:
The absolute value parent function is:
[tex]f(x) =|x|[/tex]
The absolute value of a number means how far the number is from zero on a number line. Therefore, the absolute value of a number is its positive numerical value.
This means that regardless of the value of x, the value of the absolute value parent function (y-value) will always be positive or zero.
The range of a function is the set of all possible output values (y-values).
Therefore, the set notation that describes the range of the parent absolute value function is:
{ y l y ≥ 0 }Find the monomial if the expression is the square of that monomial
The monomial if the expression is the square of that monomial is; ⁵/₄a⁶b³
What is the monomial?A monomial is defined as a polynomial, which has only one term or defined as an algebraic expression with a single term.
We are given the expression;
1⁹/₁₆ a¹²b⁶
Now, we can convert the mixed fraction to improper fraction to get;
²⁵/₁₆a¹²b⁶
The question is asking for the monomial, and the given is squared. What we will do is to extract that square from expression, and ensure that it's done applying a squared root, because that's the opposite operation of a squared power:
√(²⁵/₁₆a¹²b⁶) = ⁵/₄a⁶b³
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Help pls I need the answer fast and today
Answer:
B.
Step-by-step explanation:
0.264172 is how many gallons are in one liter soooo yeah, the estimation of that is 0.26/1 which is B
Which of the number below are whole numbers?
Answer:
F and D are whole numbers
f(x) = x^2; vertical stretch by a factor of 3 and a reflection in the x-axis, followed
by a translation 3 units down
Answer:
-3x^2-3
Step-by-step explanation:
1: 3x^2
2: -3x^2
3:
Fill in the blanks-----------
Evaluate.
10 4/5+(8 3/4−6 1/2)
Enter your answer as a mixed number in simplest form by filling in the boxes.
Step-by-step explanation:
