Answer:
A.) 2(-2) -y=10
-4-y= 10
+4 +4
-y=14
/-1 /-1
y= -14
B.) 2(0)-y=10
-y=10
/-1 /-1
y=-10
C.) 2(2)-y=10
4-y=10
-4 -4
-y = 6
/-1 /-1
y=-6
Write an equation for the translation of y=2/x that has the given asymptotes. x=-2 and y=3
Translation of y=2/x that has the given asymptotes. x=-2 and y=3 will be y = 2 / (x+2) + 3
What is meant by an asymptote of a graph?
An asymptote is a line that a graph of a curve continuously approaches but never crosses. Discover the meaning of asymptotes, read a detailed explanation, and learn about the three different asymptotes: vertical, horizontal, and oblique.
The asymptote(s) of a curve may often be found by looking at the limit of a value when the function is not defined. These points include and the point where the numerator of a rational function equals zero, as well as others.
As, x=-2, the vertical asymptote will be (x+2)
y=3, the horizontal asymptote will be 3.
The equation will be -
y = 2 / (x+2) + 3
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Use f(x) = |x|
f(x) is shifted left 5 and shifted up 2 to create g(x). Write the equation g(x).
g(x)=
....i dk if you need this or not but if you do it is here: g(x) = |x + 2| + 1
Answer:
[tex]g(x) = f(x + 5) + 2[/tex], or [tex]g(x) = | x + 5| + 2[/tex]
Step-by-step explanation:
To shift f(x) left 5, we should add 5 to x.
That way, each value of the new function takes the value of 5 tiles right in the original function.
So far, we have [tex]g(x) = f(x + 5)[/tex].
We also need to shift it up 2, therefore, we should add 2 to every y value.
Therefore, we have [tex]g(x) = f(x + 5) + 2[/tex].
PLEASE HELP ME WILL GIVE THE FIRST PERSON 15 POINTS Solve x – 7 = 10. x = 0.7 x = 70 x = 17 x = 3
Answer:
x = 17
Step-by-step explanation:
x - 7 = 10
17 - 7 = 10
The system of equations below represents the perimeter and length of a rectangular figure, where x represents the width (in meters) of the figure, and y represents the length (in meters). y = 4x + 3 2x + 2y =351 Solve the system of equations, and then find the dimensions.
The dimensions of the rectangular figure is width of 34.5 meters and length of 141 meters.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represents the width (in meters) of the figure, and y represents the length (in meters). Hence:
y = 4x + 3
4x - y = -3 (1)
Also:
2x + 2y = 351 (2)
From both equations:
x = 34.5, y = 141
The dimensions of the rectangular figure is width of 34.5 meters and length of 141 meters.
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AB has endpoints A (4, 6) and B (2, -14). What are the coordinates of midpoint M?
The coordinates of midpoint M is (3,-4)
It is given that AB is a line segment whose end points A ( 4,6) and B (2.-14) and M is the midpoint
We need to find out the coordinates of midpoint M which can be found out using the mid point formula which is (x1 + x2/2 , y1 +y2/2)
the x coordinate of the midpoint M of line segment AB = 4 + 2/2
= 6/2
= 3
the y coordinate of the midpoint M of line segment AB = 6+ (-14) /2
= -8/2
= -4
Hence the coordinates of the midpoint M of line segment AB is (3,-4)
In geometry, the midpoint is the center point of a line section. it's far equidistant from each endpoints, and it's far the centroid each of the segment and of the endpoints. It bisects the section.
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what is 8 divde by 528?
- - - - - - - - - - - - - - - - - - - - - - - -
Hello! Explanation below!
- - - - - - - - - - - - - - - - - - - - - - - -
Ideally, we should break apart the number for this problem. So, here goes nothing. :)
500 / 8 = 62.5
20 / 8 = 2.5
8 / 8 = 1
Now, add your products.
62.5 + 2.5 + 1 = 66
- - - - - - - - - - - - - - - - - - - - - - - -
Good luck!
~pinetreee
Will the probability of winning plus the probability of losing always equal 1?
Answer:
[tex] \sf \huge \fbox{{No}}[/tex]
Step-by-step explanation:
Consider an event or an competition is going on. two competetors (let A & B) are racing with each other to win something. Let's see what are the possible events that can occur,
Event 1- Competetor A wins the race against B
Event 2- Competetor B wins the race against B
Event 3- Match draw, either both of them are winner or none of them are winner.
So there are three possible events that can occur & we know that total probability always equals one, let's calculate the probability for each event individually.
The probability of occuring each event is equal, hence,
[tex] \sf Probability \: of \: winning \: p(w)= \frac{1}{3} [/tex]
[tex] \sf Probability \: of \: losing \: p(l)= \frac{1}{3}[/tex]
[tex] \sf Probability \: of \: match \: draw \: p(d)= \frac{1}{3}[/tex]
Now,
the sum of probability of winning & probability of losing,
[tex]p(w) +p(l) = \frac{1}{3} + \frac{1}{3} = \frac{2}{3} ≠1[/tex]
Hence, the result is contradiction to the statement the probability of winning plus the probability of losing always equal 1.
[tex]\sf \small \pink{Thanks }\: \green{for} \: \blue{joining} \: \orange{brainly } \: \red{community}![/tex]
John's annual gross income is
$87,600, but FICA is deducted
from his paycheck, and 23% of
his salary is withheld for income
taxes (federal, state, and local
combined), as well. If his
employer pays 60% of the cost of
a $2500-per-year health
insurance plan, and if health
insurance is John's only optional
deduction, what is his monthly
take-home pay?
Based on the annual gross income to John, the FICA amount that is deducted and the salary withheld for 23%, John's monthly take-home pay is $5,537.67
How to find John's take-home pay?First, find the cost of the per-year health insurance plan that John pays:
= (1 - 60%) x 2,500
= 40% x 2,500
= $1,000
The annual take home pay is:
= 87,600 - 1,000 - (87,600 * 23%)
= 87,600 - 1,000 - 20,148
= $66,452
The monthly take-home pay is:
= 66,452 / 12
= $5,537.67
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PLEASE ANSWER Lorie ordered a shed to hold her gardening supplies. The shed had a length of 20.25 ft, a width of 12 ft, and a height of three and one-fifth ft.
Determine the volume, V, using the formula V = lwh.
827.6 cubic ft
777.6 cubic ft
77.76 cubic ft
35.45 cubic ft
hurry!
The volume of the shred is 777.6 cubic feet
What are volumes?The volume of a shape is the amount of space inside the shape.
For most regular shapes, the formula of the volume is the product of the base area and the height
How to determine the volume?The given parameters are
Length = 20.25 ft
Width = 12 ft
Height = 3 1/5 feet
The volume of the shred is calculated using the following volume formula i.e. the volume of a cuboid or rectangular prism
Volume = Length x Width x Height
Substitute the known values in the above equation
So, we have
Volume = 20.25 x 12 x 3 1/5
Evaluate the product in the above equation
So, we have
Volume = 777.6 cubic feet
So, the required volume of the shred is 777.6 cubic feet
Hence, the volume of the shred is 777.6 cubic feet
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Solve each equation. Check your answers.
ln x-1/2=4
After solving the equation ln x-1/2=4, the value of x is equal to [tex]e^{4.5}[/tex]
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
We have been asked to find x in ln x-1/2=4
⇒ ln x-1/2=4
⇒ ln x = 4 + 1/2
⇒ ln x = 4.5
⇒ x = [tex]e^{4.5}[/tex]
Thus x = [tex]e^{4.5}[/tex], in the equation ln x-1/2=4
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find the estimated difference. Round to the nearst whole number 83.92 - 47.23
The nearest whole number 83.92 - 47.23=37(rounding off)
Given,
83.92 - 47.23=36.69
The whole number is 0,1,2,3...
Rounding a number refers to the act of simplifying a number such that its value remains near to what it was. The outcome of rounding off a number is less precise but more convenient to utilize. We consider the place value of digits in a number when rounding it.
Let us look at an example to better grasp the notion of rounding. Susan walked 2.05 miles, which she estimated to be around 2 miles.
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Solve the formula for the variable c
b(c — d) = y
Answer:
c = (y + bd) / b
Step-by-step explanation:
Use the distributive property to open the parentheses.
b(c - d) = y
bc - bd = y
Move the bd to the other side
bc = y + bd
Move the b to the other side
c = (y + bd) / b
Hope this helped! Have a great day!
PLEASE HELP ASAP 100 PTS WILL MARK BRAINLIEST FOR THE PERSON WHO ANSWERS ALL CORRECT FIRST
1. State whether the Law of Detachment or the Law of Syllogism was used to draw the conclusion from the given statements. If it's an invalid conclusion, select invalid.
Given: If the Patriots win their next game, then they will win their division.
Given: If the Patriots win their next game, then they willl go to the playoffs.
Conclusion: If the Patriots win their division, theny they will go to the playoffs.
2. State whether the Law of Detachment or the Law of Syllogism was used to draw the conclusion from the given statements. If it's an invalid conclusion, select invalid.
Given: If two lines are parallel, then they never intersect.
Given: If two lines never intersect, then they have the same slope.
Conclusion: If two lines are parallel, then they have the same slope.
3. State whether the Law of Detachment or the Law of Syllogism was used to draw the conclusion from the given statements. If it's an invalid conclusion, select invalid.
Given: If you sell $1000 worth of popcorn, then your Boy Scout dues are free.
Given: If Ethan sold $1000 worth of popcorn.
Conclusion: Ethan's Boy Scout dues are free.
4.
State whether the Law of Detachment or the Law of Syllogism was used to draw the conclusion from the given statements. If it's an invalid conclusion, select invalid.
Given: If you are at least 18 years old, then you can apply for a credit card.
Given: Kelly applied for a credit card.
Conclusion: Kelly is at least 18 years old.
Using the Laws of Detachment and Syllogism, the conclusions can be described as follows:
1. Invalid.
2. Law of Syllogism.
3. Law of Detachment.
4. Invalid.
What are the Law of Detachment and the Law of Syllogism?The Law of Detachment makes it possible to conclude the hypothesis from the conclusion, that is, if both p and p -> q are true, then q is also true.The Law of Syllogism states that if p -> q and q -> r are true, the p -> r is also true, basically applying the transitive property.For item 1, the events are given as follows:
p: Patriots win their next game.q: Patriots win their division.r: Patriots go to the playoffs.Neither of the laws are reached in the conclusion, hence we have an invalid conclusion.
For item 2, the transitive property was applied correctly, hence the Law of Syllogism was used.
For item 3, p and p -> q are true, then we concluded that q is true, hence the Law of Detachment was used.
For item 4, we have an invalid conclusion, as we have p -> q and q, but no conclusion can be reached regarding p.
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(6) In a triangle ABC ,AB = (x +1) cm, AC = x cm and angle BAC =30°. If the area of triangle ABC=18 cm². Draw the figure and find the value of x.
Answer: x = 8
The diagram is shown below.
==================================================
Explanation:
Use the SAS triangle area formula to get the following equation.
area = 0.5*side1*side2*sin( angle between those sides)
area = 0.5*AB*AC*sin( angle BAC )
area = 0.5*(x+1)*x*sin(30)
area = 0.5x(x+1)*0.5
area = 0.25x^2+0.25x
Set this equal to the stated area of 18 square cm and solve for x.
0.25x^2+0.25x = 18
4*(0.25x^2+0.25x) = 4*18
x^2+x = 72
x^2+x-72 = 0
(x-8)(x+9) = 0
x-8 = 0 or x+9 = 0
x = 8 or x = -9
Ignore the negative value since we cannot have a negative side length.
The only possible outcome is that x = 8 which leads to x+1 = 8+1 = 9.
The diagram is below.
Find each real root. 4√1/160,000
The value of real root 4√1/160,000 is 1.5625e-6.
By considering the given value
4√1/160,000
=(6.25e-6)^1/4
=1.5625e-6
The values of x where the function's graph actually crosses the x-axis are known as real roots. Any roots without a I term are real roots. Imaginary roots are x-values that set the function to zero but do not actually cause the graph to cross the x-axis.
If there are no stationary points on the curve, then f has a single real root. If stationary points are found, you could demonstrate using the geometry of the curve that the curve can only intersect the x axis once due to the configuration of the stationary points.
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Pls help I’m really confused
Answer:
Negative.
Step-by-step explanation:
Adding B to A brings the total below zero. making it negative.
8x-6y=6
3 plot points for a graph
Answer/Step-by-step explanation:
8x - 6y = 6
-8x -8x
-6y = -8x + 6
÷-6 ÷-6 ÷-6
y = (4/3)x - 1
Point 1: (0, -1)
Point 2: (3, 3)
Point 3: (6, 7)
I hope this helps!
3x + 5 ≤1 or 8-x<5
How do I solve this???
Solve for x: 3
06
06>x>9
00
00>x>3
Answer:
here Multiply
−
4
by
1
.
x
=
6
±
√
36
−
4
⋅
−
27
2
⋅
1
Multiply
−
4
by
−
27
.
x
=
6
±
√
36
+
108
2
⋅
1
Add
36
and
108
.
x
=
6
±
√
144
2
⋅
1
Rewrite
144
as
12
2
.
x
=
6
±
√
12
2
2
⋅
1
Pull terms out from under the radical, assuming positive real numbers.
x
=
6
±
12
2
⋅
1
Multiply
2
by
1
.
x
=
6
±
12
2
Simplify
6
±
12
2
.
x
=
3
±
6
The final answer is the combination of both solutions.
x
=
9
,
−
3
Step-by-step explanation:
TENSIONS BETWEEN ENGLAND AND THE AMERICAN COLONIES WOULD RISE DUE TO THE HUGE COST OF WHICH WAR?
A. French and Indian War B. the War of the Roses C. the Mexican War
Answer:
I'm pretty sure the answer is A
Step-by-step explanation:
Hope this helps:).......if not then sorry for wasting your time and may God bless you<3
name the figure of speech in the following sentence.
The moon was a lantern in the sky?
Answer:
figurative
Step-by-step explanation:
this is because its using something else to paint a picture as to HOW something is, for ex. HOW bright the moon is.
Write the equation of the given circle below.
Find the volume of the given cone in terms of π.
A) 18π cubic meters
B) 10.8π cubic meters
C) 54π cubic meters
C) 162π cubic meters
Answer:
[tex]162 \pi[/tex]
Step-by-step explanation:
Volume of a cone is
[tex]V = \dfrac{1}{3}\pi r^2h[/tex]
where r = radius, h = height
So
[tex]v = \dfrac{1}{3} \pi \times 9^2 \times 6\\\\= \dfrac{1}{3} \pi \times 81 \times 6\\\\= 162 \pi[/tex]
Triangle JKL is formed by connecting
the midpoints of the side of triangle
GHI. The lengths of the sides of triangle
JKL are shown. What is the length of
HI? Figures not necessarily drawn to
scale.
Based on the triangle midsegment theorem, the length of HI is: 8 units.
What is the Midsegment of a Triangle?Every triangle has three midsegments. A midsegment of a triangle can be described as the segment that intersects two sides of a triangle at their midpoint.
For example, in the diagram given, the midsegments in triangle GHI are segments JL, KL, and JK.
What is the Triangle Midsegment Theorem?According to the triangle midsegment theorem:
JL = 1/2(HI)
KL = 1/2(HG)
JK = 1/2(GI)
Given that, JL = 4 units, applying the triangle midsegment theorem, we would have:
JL = 1/2(HI)
4 = 1/2(HI)
Multiply both sides by 2
2(4) = 1/2(HI)(2) [multiplication property]
8 = HI
HI = 8 units
In conclusion, based on the triangle midsegment theorem, the length of HI is: 8 units.
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Which of the following are TRUE of line graphs?
(MORE THAN ONE ANSWER)
They often will have the independent variable in the x-axis and the dependent variable in the y-axis.
They can be used for density curves.
They are often used to indicate continuity in the data. (i.e. no gaps)
They are always straight lines.
All of the statements are true.
- They often will have the independent variable on the x-axis and the dependent variable on the y-axis.
- They can be used for density curves.
- They are often used to indicate continuity in the data. (i.e. no gaps)
- They are always straight lines.
What is a line graph?A line graph is a type of chart used to show information that changes over time.
We have,
- They often will have the independent variable on the x-axis and the dependent variable on the y-axis.
This statement is true because the independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).
- They can be used for density curves.
A density curve is a graph that shows probability.
This statement is true.
- They are often used to indicate continuity in the data. (i.e. no gaps)
Line graphs can be used for continuous data on the y-axis since continuous data are measured on a scale with many possible values.
This statement is true.
- They are always straight lines.
We plot line graphs using several points connected by straight lines.
This statement is true.
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a. Rotate the vector fv = (- 3 , 5) by 270⁰. What is the component form of the resulting vector?
The component form of the resultant vector is X1 = -5 and Y1 = -3
The course of vector rotation is counterclockwise if θ is positive (e.g., 90°) and clockwise if θ is bad (e.g., 90°). Consequently, the clockwise rotation matrix is located as
Let's say we have got a factor (x1, y1). The point also defines the vector (x1, y1).
The vector (x1, y1) has a length of L.
We rotate this vector anticlockwise around the starting place by using β Degree.
The turned-around vector has coordinates (x2, y2)
The turned-around vector also has to have period L.
Theorem
x2=cosβx1−sinβy1
y2=sinβx1+cosβy1
By using the above information, we can say that X1 = -3 and Y1 = 5
So now we have the rotate the vector by 270 Degree
After Rotation New coordinates are X1 = -5 and Y1 = -3
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What is the image of the point
(
3
,
2
)
(3,2) after a rotation of
9
0
∘
90
∘
counterclockwise about the origin?
Answer:
(-2, 3)
Step-by-step explanation:
When rotating the preimage 90° counterclockwise about the origin (x, y) becomes (-y, x).
x=3 and y=2
So (3, 2) becomes (-2, 3)
The image of the point (-2,3) after a rotation of 90° counterclockwise about the origin will be (3, 2).
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The point (-2, 3) is in the second quadrant. After a rotation of 90° counterclockwise about the origin, the point will be in the first quadrant.
After the rotation, the coordinate of the points will get swapped and in the first quadrant, the value of the coordinate will be positive.
The image of the point (-2,3) after a rotation of 90° counterclockwise about the origin will be (3, 2).
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a call center receives 25 callers per minute on average. on average, a caller spends1 minute on hold and 3.5 minutes talking to a service representative. on average, howmany callers are "in" the call center (meaning that they are either on hold or talking to aservice representative)?question 2 options:a) 87.5 callersb) 25 peoplec) 112.5 callersd) 1500 callers
The average number of callers in the call centre is 112.5.
Number of callers received by the call centre per minute = 25
Average time each person spends on hold = 1 minute
Average time each caller spends talking = 3.5 minutes
The total amount of time of spending by each caller in the call centre is,
= Time spend on hold + Time spend on talking
= 1 + 3.5
= 4.5 minutes
The total amount of time spent by each caller in the call centre is 4.5 minutes.
The average number of callers in the call centre is,
= Total time spent in the call centre × Number of callers per minute
= 4.5 × 25
= 112.5
Therefore, the average number of callers in the call centre is 112.5.
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slope 3, passes through (0,-2) in slope intercept form
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ 3}(x-\stackrel{x_1}{0}) \implies y +2= 3 (x -0) \\\\\\ y+2=3x\implies y=3x-2[/tex]
Pls give answer asap!
The numeric value at x = 12 for the given piecewise function is:
g(12) = 10.
What is a piecewise-defined function?A piecewise-defined function is a function that has different definitions, depending on the input of the function.
How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable in the function by the desired value. For example, to find f(12), we replace each instance of x by 12.
From the piecewise function given in the problem, the definition for x = 12 is given by the following rule:
g(t) = 5t/6.
Hence the numeric value is:
g(12) = 5 x 12/6 = 5 x 2 = 10.
The numeric value at x = 12 for the given piecewise function is:
g(12) = 10.
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