A graph which shows the image of ABCD is: A. on a coordinate plane, parallelogram A'B'C'D' has points (-2, 5), (0, 3), (0, -1.2), (-2, 1).
What is a transformation?A transformation refers to the movement of a point on a cartesian coordinate from its original (initial) position to a new location.
In Geometry, there are different types of transformation and these include the following:
DilationReflectionRotationTranslationBased on transformation of parallelogram ABCD, we can infer and logically deduce that a graph which shows the image of ABCD is that on a coordinate plane, with parallelogram A'B'C'D' having points (-2, 5), (0, 3), (0, -1.2), (-2, 1) as shown in the image attached below.
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Worth 15 points!!!!!!!!!!!!!!
The booster club sold 36,276 tickets on Friday, 34,012 tickets on Saturday, and 29,879 tickets on Sunday. If you were going to find out how many fewer tickets were sold on Sunday than Saturday, which operation would you perform?
Answer:subtraction
Step-by-step explanation: to find out how many fewer tickets were sold on Sunday you would need to subtract 34012 by 29879. The solution would be how many fewer tickets were sold on Sunday compared to Saturday.
What are the solutions of the system of equations y = –(x 2)2 1 and y = 4x 9? (–2, 1) and (6, –15) (–2, 1) and (–6, –15) (2, 1) and (6, –15) (2, 1) and (–6, –15)
The equations exist [tex]$y =-(x+2)^2+1[/tex] and [tex]y =4x+9[/tex] then the value of
x = -6, x = -2 and y = -15, y = 1.
How to solve the system of equations [tex]$y =-(x+2)^2+1[/tex] and
[tex]y =4x+9[/tex] ?
The given equations are [tex]$y =-(x+2)^2+1[/tex] and [tex]y =4x+9[/tex]
[tex]$-\left(x\:+\:2\right)^2\:+\:1\:=\:4x\:+\:9[/tex]
[tex]$-x^{2}-4 x-3=4 x+9[/tex]
Subtract 9 from both sides, we get
[tex]$-x^{2}-4 x-3-9=4 x+9-9[/tex]
Simplifying the equation, we get
[tex]$-x^{2}-4 x-12=4 x[/tex]
Subtract 4x from both sides
[tex]$-x^{2}-4 x-12-4 x=4 x-4 x[/tex]
[tex]$-x^{2}-8 x-12=0[/tex]
Solve with the quadratic formula
[tex]$x_{1,2}=\frac{-(-8) \pm \sqrt{(-8)^{2}-4(-1)(-12)}}{2(-1)}[/tex]
[tex]$\sqrt{(-8)^{2}-4(-1)(-12)}=4[/tex]
[tex]$x_{1,2}=\frac{-(-8) \pm 4}{2(-1)}[/tex]
Separate the solutions
[tex]$x_{1}=\frac{-(-8)+4}{2(-1)}, x_{2}=\frac{-(-8)-4}{2(-1)}[/tex]
[tex]$x=\frac{-(-8)+4}{2(-1)}=-6[/tex]
[tex]$x=\frac{-(-8)-4}{2(-1)}= \quad-2[/tex]
The solutions to the quadratic equation are x = -6, x = -2
From the above equation [tex]y =4x+9[/tex],
substitute the value of x, then we get
Put, x = -6 then y = 4(-6) + 9 = -15
Put, x = -2 then y = 4(-2) + 9 = 1
The system of equations exists (–2, 1) and (–6, –15).
Therefore, the correct answer is (–2, 1) and (–6, –15).
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Answer:
(–2, 1) and (–6, –15)
Step-by-step explanation:
flvs testing (i am not completely sure btw)
just substitute that into a last equations (seperatly if you understand=== -2 and 1 as x and y; -6 and -15 as x and y)
he system of equations below has no solution.
StartLayout enlarged left-brace 1st row two-thirds x + five-halves y = 15 2nd row 4 x + 15 y = 12
Which equation could represent a linear combination of the system?
a linear combination can be:
(a + b)*(4x + 15y) = a*12 + b*15
How to solve the given system of equations:Here we have the system of equations:
(2/3)*x + (5/2)*y = 15
4x + 15y = 12
To solve the system of equations, we first need to isolate one of the variables in one of the equations, I will isolate x on the second equation.
4x = 12 - 15y
x = (12 - 15y)/4
Now we can replace that in the other equation:
(2/3)*x + (5/2)*y = 15
(2/3)* (12 - 15y)/4 + (5/2)*y = 15
Now we can solve that for y.
2 - (10/4)*y + (5/2)*y = 15
2 = 15
That is a false equation, then we conclude that the system of linear equations has no solutions.
This means that the two lines are parallel lines, then a linear combination can be:
(a + b)*(4x + 15y) = a*12 + b*15
Where a and b are two real numbers.
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Answer:Your answer is
There are no solutions.
Step-by-step explanation:Brainliest Please?
What is the probability that a class of 50 has an average midterm mark that is less than 75?
The probability that a class of 50 has an average midterm mark that is less than 75 is value=0
Average is the mathematics mean, and is calculated by means of adding a group of numbers and then dividing with the aid of the count of these numbers. for instance, the average of 2, three, three, five, 7, and 10 is 30 divided with the aid of 6, that is five.
The common is described as the implied value that is identical to the ratio of the sum of the number of a given set of values to the whole wide variety of values gift within the set.
There are three primary sorts of common: imply, median, and mode. each of those techniques works slightly differently and frequency effects in barely specific regular values. The suggestion is the maximum normally used average. To get the suggested fee, you add up all of the values and divide this total by using the number of values.
The probability that a class of 50 has an average midterm mark that is less than 75
n = 50
P(<75)=P(Z<75)
P(Z<75−786√50)
P(Z<−3.5355)
We will look for the value in the StandardNormal able. We will get the value=0
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Quick algebra 1 question for some points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
[tex]let \: the \: number \: be \: denoted \: by \: p \\ five \: times \: a \: number = 5p \\ square\: of \: a \: number = p {}^{2} [/tex]
[tex] \gamma - p {}^{2} = 5p - p {}^{2} [/tex]
A coin is tossed 10 times. given that the first 9 tosses were heads, find the percent chance of getting 10 heads in a row?
Answer:
1/2
Step-by-step explanation:
Assume the coin is a fair coin.
Since we already know that the first 9 tosses were heads, the probability of 9 straight heads in the first 9 tosses is 1.
It all depends on the last toss. There is an equal probability of heads and tails in a single toss of a fair coin.
p(heads) = 1/2
p(10 heads) = 1/2
Ok so the answer is 1/2
Make t the subject of the formula k=mt/[t*t]+f............**by t*t I mean square of T
Answer:
T tof = 2 ( v 0 sin θ 0 ) g . T tof = 2 ( v 0 sin θ 0 ) g . This is the time of flight for a projectile both launched and impacting on a flat horizontal surface.
A person bought a safe which can be unlocked by entering a 2-digit
secret code. After some time, he forgot the secret code of his safe.
However, he remembers some numbers that could be the secret code.
The secret code is one among the following numbers.
5 17 29 22 11 26 27 35 39 41
Let us give him some clues to find the secret code of his safe.
It is greater than 20
It is not a prime number
It is smaller than 40
It has 13 as one of its factors
It is an odd number.
It has only 4 factors
The secret code is ____________________
39 number is the secret code as the unlock code for the safe.
According to the statement
we have given that a some numbers as a code and we have to find the correct code after applying the given conditions.
So, For this purpose
The given number set is
5 17 29 22 11 26 27 35 39 41
So,
A. One condition : It is an odd number
so, the number set become
5 17 29 11 27 35 39 41
And
B. Second condition : It is greater than 20
so, the number set become
29 27 35 39 41
And
C. Third condition : It is smaller than 40
so, the number set become
29 27 35 39
And
D. Fourth condition : It is not a prime number
so, the number set become
27 35 39
And
E. Fifth condition : It has 13 as one of its factors
so, the number set become
39.
So, 39 number is the secret code as the unlock code for the safe.
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A and b are monomials where a = 125 and b = 27p12. what is the factored form of a – b?
The factored form of a - b is [tex]\left(5-3 p^{4}\right)\left(25+15 p^{4}+9 p^{8}\right)[/tex].
What is monomial factorization ?A monomial is an expression that is the product of constant and non-negative integer powers of x, like [tex]3x^{2}[/tex]..
A monomial is expressed as a product of two or more other monomials when it is factored.
Here,
a = 125
[tex]$b=27 p^{12}$[/tex]
To find: a - b
a - b = 125 - [tex]27 p^{12}$[/tex]
a - b = [tex]5^{3}-\left(3 p^{4}\right)^{3}$[/tex]
We know that,
[tex]$x^{3}-y^{3}=(x-y)\left(x^{2}+x y+y^{2}\right)$[/tex]
Finding the factored form of a - b using this method:
[tex]$a - b=\left(5-3 p^{4}\right)\left(5^{2}+5\left(3 p^{4}\right)+\left(3 p^{4}\right)^{2}\right)$[/tex]
[tex]$a-b=\left(5-3 p^{4}\right)\left(25+15 p^{4}+9 p^{8}\right)$[/tex]
So, factored form of a - b is [tex]$\left(5-3 p^{4}\right)\left(25+15 p^{4}+9 p^{8}\right)$[/tex].
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Find the inverse of the matrix
A=(3 4) and use it to solve the equation 3x+4y=1 5x+2y=3 simultaneously
(5 2)
By applying inverse of a matrix, we find that the solution of the system of linear equations is (x, y) = (5/7, - 2/7).
How to solve a system of equation with inverse matrices
In linear algebra, systems of linear equations with a unique solution can be represented by the following expression:
[tex]\vec A \cdot \vec x = \vec B[/tex] (1)
Where:
[tex]\vec A[/tex] - Matrix of dependent constants.[tex]\vec x[/tex] - Vector column of variables.[tex]\vec B[/tex] - Vector column of independent constants.The solution of such systems is defined by:
[tex]\vec x = \vec A^{-1}\cdot \vec B[/tex]
[tex]\vec x = \frac{1}{\det(\vec A)}\cdot adj\left(\vec A\right) \cdot \vec B[/tex], where [tex]\det \left(\vec A\right) \ne 0[/tex].
Where:
[tex]\det \left(\vec A\right)[/tex] - Determinant of the matrix of dependent constants.[tex]adj \left(\vec A\right)[/tex] - Adjoint of the matrix of dependent constants.For the case of [tex]\vec A \in \mathbb{R}_{2\times 2}[/tex], the inverse of [tex]\vec A[/tex] is:
[tex]\vec A^{-1} = \frac{1}{\det \left(\vec A\right)} \cdot \left[\begin{array}{cc}a_{22}&-a_{12}\\-a_{21}&a_{11}\end{array}\right][/tex] (2)
If we know that [tex]\vec A = \left[\begin{array}{cc}3&4\\5&2\end{array}\right][/tex] and [tex]\vec B = \left[\begin{array}{cc}1\\3\end{array}\right][/tex], then the solution of the system of linear equations is:
[tex]\vec A^{-1}= \frac{1}{(3)\cdot (2) - (5) \cdot (4)}\cdot \left[\begin{array}{cc}2&-4\\-5&3\end{array}\right][/tex]
[tex]\vec A^{-1} = -\frac{1}{14}\cdot \left[\begin{array}{cc}2&-4\\-5&3\end{array}\right][/tex]
[tex]\vec A^{-1} = \left[\begin{array}{cc}-\frac{1}{7} &\frac{2}{7} \\\frac{5}{14} &-\frac{3}{14} \end{array}\right][/tex]
[tex]\vec x = \left[\begin{array}{cc}-\frac{1}{7} &\frac{2}{7} \\\frac{5}{14} &-\frac{3}{14} \end{array}\right] \cdot \left[\begin{array}{cc}1\\3\end{array}\right][/tex]
[tex]\vec x = \left[\begin{array}{cc}\frac{5}{7} \\-\frac{2}{7} \end{array}\right][/tex]
By applying inverse of a matrix, we find that the solution of the system of linear equations is (x, y) = (5/7, - 2/7).
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Fundamentally, pressure is defined as force per unit area. what is the source of the force in a gas sample?
The source of the force in the gas sample is; The force is composed of the sum of the collisions only between the gas molecules and the container
What is the relationship between Force and Pressure?We are given that;
Pressure = Force /Area
Now, for any gas sample, force is defined as basically the force exerted by the gas molecules when they strike the surface and bounce back inside the container where they are located.
Now, from the definition above we can conclude that the source of the force in the gas sample will be The force is composed of the sum of the collisions only between the gas molecules and the container
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find the perimeter ( will mark u brainliest for right answer)
The perimeter of the triangle is 56.4 units.
How to find the perimeter of a triangle?The perimeter of the triangle can be found as follows:
The perimeter of a figure is the sum of the whole sides. Therefore, the perimeter of a triangle is the sum of the three sides.
perimeter of a triangle = x + y + z
where
x, y and z are the three sides of the triangle.Therefore,
perimeter of the triangle = 19.8 + (9.8 + 8.4) + (8.4 + (19.8 - 9.8))
perimeter of the triangle = 19.8 + 18.2 + 18.4
perimeter of the triangle = 56.4
perimeter of the triangle = 56.4 units
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please help with algebra 2 question! arithmetic sequence
erica is playing a card game with her friend marquis. her points are shown in the following table:
round 1: 30 pts
round 2: 42 pts
round 3: 58.8 pts
marquis’s points in each round are represented by the following sequence:
50, 75, 112.5,…
in the table below, determine whether each row applies to eeica’s points or marquis’s points. select erica, marquis, or neither option.
(answers attached in pic) pls help!
Answer:
neitherMarquisEricaMarquisStep-by-step explanation:
The matching of exponential functions to table values involves matching both initial values and rate of growth. The value of a geometric series can be calculated from its formula, or can be shown by a calculator or spreadsheet.
Function determinationThe starting values of the two sequences are different, as are all of the starting values of the answer choices. Matching starting values is sufficient to identify which sum goes with which player.
The series ...
[tex]\displaystyle S=\sum_{k=1}^n{AB^{k-1}}[/tex]
gives the sum of a geometric sequence with first term A and common ratio B.
The first term of Erica's series is A=30. The ratio is B=42/30 = 1.4.
The first term of Marquis's series is 50. The ratio is B=75/50 = 1.5.
Using these values in the series formula, the total score after n rounds will be ...
[tex]\displaystyle \text{Erica:}\quad \sum_{k=1}^n{30(1.4)^{k-1}}\qquad\text{matches Row 3}\\\\\text{Marquis:}\quad \sum_{k=1}^n{50(1.5)^{k-1}}\qquad\text{matches Row 2}[/tex]
Total scoreThe explicit expression for these sums is ...
[tex]S=A\dfrac{B^n-1}{B-1}[/tex]
Then the total scores after 6 rounds are ...
Erica: 30(1.4^6 -1)/0.4 = 489.7152
Marquis: 50(1.5^6 -1)/0.5 = 1039.0625 . . . . . matches row 4
TableThen the required table gets filled in ...
neitherMarquisEricaMarquis__
Additional comment
The values in the attached table are total scores after each round. One must subtract the previous round's total to find the points scored in a given round.
The purpose of showing totals is to permit matching the value seen in Row 4 of the table.
Which equations for the line of best fit do not accurately represent the data in the scatter plot? Select all that apply.
Concluding, the equations that do not accurately represent the data in the scatter plot are B, C, and D.
Which equations do not accurately represent the data in the scatter plot?By looking at the scatter plot, we can see that as we read from left to right, the number of shoes sold (y variable) decreases.
Then the linear fit must have a negative slope, from that, we can discard options B and C.
Now, we also can see that the line starts almost at y = 70.
If you look at the option D, you can see that the constant term of that line is -70, so we can also discard that option.
Concluding, the equations that do not accurately represent the data in the scatter plot are B, C, and D.
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Can someone tell me what this symbol means? Ty!!!
Answer:
Angle symbol
Angle ACB
Angle ACE
Angle DCE
18 times the quantity g plus 5
Answer:
Step-by-step explanation:
Comment
The first thing you should notice once you have read it, is there is a plus sign required. That means you are likely to get a binomial (two different things that won't reduce or combined).
So what you get is
18*g + 5
Notice where the place sign is. It is between 18g and 5. The result cannot be simplified any further.
Answer
18g + 5
Question
What are the coordinates of the point (−4, 2) after a translation 2 units left and 2 units up?
(−6, 4)
begin ordered pair negative 6 comma 4 end ordered pair
(−6, 0)
begin ordered pair negative 6 comma 0 end ordered pair
(−2, 0)
begin ordered pair negative 2 comma 0 end ordered pair
(−2, 4)
begin ordered pair negative 2 comma 4 end ordered pair
Answer:
(-6,4)
Step-by-step explanation:
You started at (-4,2) The first number in the ordered pair moves the number left and right and the second number moved the point up and down.
We are first told to move the point 2 units to the left. -4 is my left right number. If I am at -4 and I go to unites to the left, I will be at -6. My new point is now (-6,2). Next we are told to go up 2. The 2 number in my ordered pair tells me that I am 2 above the x axis. Now I am going to go two more units up. I am now at 4, so my new ordered pair after the translation is (-6,4)
coordinates of the point (−4, 2) after a translation 2 units left and 2 units up would be (-6, 4).
What is Translation ?
"Translation" moves points the same distance along lines that are parallel to each other.
Translation involves the initial object called the pre-image and the final object called the image. As you can see in the picture above, the rust-colored item represents the pre-image, and the blue item represents the image. Because of the arrow, we can tell the direction in which the image was moved. For other images, you may receive instructions on which image is the pre-image, or you may be asked to find the pre-image from the image.
Reflection, on the other hand, moves points along a specified line in such a way that the line bisects each line segment connecting corresponding pre-image points and image points
We are asked to find the coordinates of the points (-4,2) after a translation 2 units left and 2 units up.
We know that translating a point to the left by 'a' units means we need to subtract 'a' units from x-coordinate of the point.
Translation to 2 units left:
(-4,2) → (-4-2, 2) → (-6, 2)
We know that translating a point to upwards by 'a' units means we need to add 'a' units to y-coordinate of the point.
Translation to 2 units up:
(-6, 2) → (-6, 2+2) → (-6, 4)
Therefore, coordinates of the point (−4, 2) after a translation 2 units left and 2 units up would be (-6, 4).
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Jeri finds a pile of money with at least $\$200$. If she puts $\$80$ of the pile in her left pocket, gives away $\frac{1}{3}$ of the rest of the pile, and then puts the rest in her right pocket, she'll have more money than if she instead gave away $\$200$ of the original pile and kept the rest. What are the possible values of the number of dollars in the original pile of money? (Give your answer as an interval.)
Based on the amount of money that Jerl had and then the amount that she put away, the possible values of the number of dollars in the original pile of money was ( 200, 440).
What was the amount in the original pile?The amount that was above $200 that she found can be x which means that the greater side of the inequality is:
= 200 + x
She then gave away $80:
= 120 + x
She gave away 1/3 of the money so the amount left is:
= 2/3 x (120 + x)
The lesser side of the inequality:
(x + 2) - 200 = x
So then:
((120 + x) x 2) / 3 > x
240 + 2x > 3x
240 > x
x < 240
The interval that shows the possible values of the original pile of money is therefore:
( 200, 440)
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- 5x - 5 = 3x + 19 what would X be?
-5x - 5 = 3x + 19
---Move the x's to one side
-5x - 3x - 5 = 3x - 3x + 19
-8x - 5 = 19
---Isolate the -8x by removing the -5 from the left side
-8x - 5 + 5 = 19 + 5
-8x = 24
---Divide both sides by -8 to get x by itself
x = -3
Hope this helps!
-5x-5= 3x+19
= > -5x-3x= 19+5
= > -8x= 24
= >-x=24/8
= >x= -3
Briefly describe each of the eight guidelines for evaluating statistical studies.
8 Guidelines for Critically Evaluating a Statistical Study
1. Identify the Goal, Population, and Type of Study
2. Consider the Source
3. Examine the Sampling Method
4. Look for Problems in Defining or Measuring the Variables of
Interest
5. Watch Out for Confounding Variables
6. Consider the Setting and Wording of Any Survey
7. Check That Results Are Fairly Represented in Graphics or
Concluding Statements
8. Stand Back and Consider the Conclusions
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please help if u can! greatly appreciated
don't answer if u dont know PLEASE
a. log₈8 = 1
b. log₇6/5
c. log₉3¹
The solution to the problem are1. log₈ 2 * 4 would produce an integer
= log₈8 = 1
The output is an integer
2. log₇6/5 would give us an irrational number
= log₇1.2
This would give us an irrational number
3. log₉3¹ would give us a rational number
= log₉9^[tex]^\frac{1}{2}[/tex] = 1/2 log⁹9
= 1/2
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Write the following in interval notation
x < 8
Answer:
Yup Yup
Step-by-step explanation:
yessah
Inequalities help us to compare two unequal expressions. The given inequality x<8 can be written in the interval notation as x=(-∞,8).
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Continuous sets of real numbers can be represented using interval notation by the numbers that bound them. When written, intervals resemble ordered pairs in several ways. They do not, however, intend to indicate any particular location. Instead, they serve as a concise approach to expressing an inequality or a set of inequalities.
The given inequality x<8 can be written in the interval notation as,
x = (-∞,8)
Hence, The given inequality x<8 can be written in the interval notation as x=(-∞,8).
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(ASAP PLEASE) Peter had some triangular tiles with sides 3 cm long. He placed them side by side to make a trapezium. If the perimeter of the trapezium was 27 cm, how many tiles did Peter use?
Answer:
She used 9 tiles which are 3 cm long
Step-by-step explanation:
cuz 3x9=27 and yea
Oltp systems are designed to handle ad hoc analysis and complex queries that deal with many data items.
a. true
b. false
Answer:
b) It is false
one adult ticket for a school play costs 10 dollars and one student ticket costs 6 dollars. one evening,750 people attended the play and the total receipts were 6860. how many of each type of ticket were sold? A full algebraic solution is required.
The algebraic solution to the situation is as follows:
x + y = 750
10x + 6y = 6860
The number of adult and student are 590 and 160 respectively.
How to find and solve an algebraic equation?One adult ticket for a school play costs 10 dollars and one student ticket costs 6 dollars.
One evening,750 people attended the play and the total receipts were 6860.
Therefore,
let
x = number of adult ticket
y = number of student tickets
Therefore,
x + y = 750
10x + 6y = 6860
10x + 10y = 7500
10x + 6y = 6860
4y = 640
y = 640 / 4
y = 160
Hence,
x = 750 - y
x = 750 - 160
x = 590
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Beth is going to enclose a rectangular area in back of her house. the house wall will form one of the four sides of the fenced in area, so beth will only need to construct three sides of fencing. beth has 48 feet of fencing. she wants to enclose the maximum possible area. what amount of fence should beth use for the side labeled x?
The maximum possible area would have a length of 24 feet and width of 12 feet.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the length and y represent the width, hence:
Since beth has 48 ft fencing and cover 3 sides, hence:
x + 2y = 48
x = 48 - 2y (1)
Also:
Area (A) = xy
A = (48 - 2y)y
A = 48y - 2y²
The maximum area is at A' = 0, hence:
A' = 48 - 4y
48 - 4y = 0
y = 12 feet
x = 48 - 2(12) = 24
The maximum possible area would have a length of 24 feet and width of 12 feet.
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the x and y intercept
Answer:
Step-by-step explanation:
X-INTERCEPT
Plug y=0 into the equation and solve the resulting equation −6x=−7 for x.
The x-intercept:
[tex]\left(\frac{7}{6},0\right)\approx \left(1.16666666666667,0\right)[/tex]
Y-INTERCEPT
Plug x=0 into the equation and solve the resulting equation 3y=−7 for y.
The y-intercept:
[tex]\left(0, - \frac{7}{3}\right)\approx \left(0,-2.33333333333333\right)[/tex]
Answer:
[tex]x[/tex]-intercept = ([tex]-\frac{7}{6}[/tex] , 0)
[tex]y[/tex]-intercept = (0 , [tex]-\frac{7}{3}[/tex])
Step-by-step explanation:
[tex]6x + 3y = -7[/tex]
• The x-intercept is the point at which the line crosses the x-axis, that is, where y = 0.
∴ [tex]6x + 3(0) = -7[/tex]
⇒ [tex]6x = -7[/tex]
⇒ [tex]x = \bf -\frac{7}{6}[/tex]
∴ The x-intercept is at the point ([tex]-\frac{7}{6}[/tex] , 0).
• Similarly, the y-intercept is the point at which the line crosses the y-axis, that is, where x = 0.
∴ [tex]6(0) + 3y = -7[/tex]
⇒ [tex]3y = -7[/tex]
⇒ [tex]y = \bf - \frac{7}{3}[/tex]
∴ The y-intercept is at the point (0 , [tex]-\frac{7}{3}[/tex]).
can someone help with this algebra problem?
Answer:
g(1) = 1
Step-by-step explanation:
Since 1 ≠ -2 and 1 ≠ -1
Then we must use the expression:
g(x) = x³ - x² + 1 ,to calculate g(1).
Therefore
g(1) = (1)³ - (1)² + 1
= 1 - 1 + 1
= 0 + 1
= 1
On a map, point C is 4.3km due east of point B , and point B is 2.7km on a bearing of 143° from point A . Give your answer to 2 decimal places for the following. a Find how far east point B is from A. b Find how far east point C is from A. c Find how far south point C is from A
Based on the bearings of the direction and the distances given, the distance of point B from A is 1.62 km. Point C's distance from A is 5.92 km east and 2.16 km south.
How far are points B and C from A?To find the distance from point B to point A, the Cos function should be used.
Point A's distance from B can be found as:
= Cos (143 - 90) x distance from point A
= Cos (53°) x 2.7
= 1.62 km
The distance of C from A eastward is:
= 1.62 + 4.3
= 5.92 km
As C is southward from point A, the function to be used is the Sin function.
The distance southward of c from A is:
= Sin(53°) x 2.7
= 2.16 km
Find out more on calculating distance at https://brainly.com/question/14364020
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