Which equation represents the vertical asymptote of the graph? a curve asymptotic to y equals 0 from negative x to negative y near x equals 12. A curve asymptotic to y equals 0 from positive x to positive y near x equals 12. x = 0 y = 0 x = 12 y = 12
Answers
Answer:
The correct option is x = 12
Step-by-step explanation:
An asymptote of a function is a line to to which the function converges to as it tends to infinity such that the function gets infinitesimally close to its asymptote but the function will not reach or cross its asymptote. That is the separating distance between the function and the asymptote tends to zero as either the x or y coordinates, or both the x and y coordinates tend to infinity.
A vertical aymptote, is one parallel to the y-axis and it is given by the value of the x-coordinate where it occurs
In the graph of the question, the vertical asymptote occurs at x = 12 and it is the line x = 12.
From the given graph, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.
The given curve represents a function which is defined for all value fo x except 12.
The following information can be extracted from the graph of the function;
The function is defined for all values of x except 12.The function has a horizontal asymptote at y=0.The function forms a vertical asymptote at x=12. The curve approaches negative infinity from the left of 12 and approaches positive infinity from right of 12.Based on the above conclusions, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.
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Related Questions
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number and the equation
Answers
Answer:
The number is 32.
The equation is 32 - 9 = 23.
Explanation:
The original number is 32, but when you subtract 9, the number changes to 23. So the digits reversed.
The required number is 32 and the equation is 10x+y.
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. To Find the number and the equation
In mathematics it deals with numbers of operations according to the statements.
Let the number at unit place is y and at tenth place is x so the number is
=10x+y
Now sum of the number is 5
x + y =5 -------(1)
When 9 is subtracted from the number, the digits will be reversed.
10x+y-9=10y+x
9x-9y=9
x-y=1 ------(2)
Solving equation 1 and 2
y = 2
x = 3
the number 10(3)+2 = 32
Thus, The required number is 32.the equation is 10x+y.
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Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?
Answers
Answer:
The length of AB is 6
Step-by-step explanation:
Graph the question out.
Count from A to B
HELP ASAP!
Identify the outlier in the data set and then find the mean and median with and without the outlier.
4, 14, 5, 2, 16, 138, 11
If necessary, round your answers to the nearest tenth.
outlier = 4
mean with outlier = 27.1
median with outlier = 11
mean without outlier = 41.6
median without outlier = 12.5
outlier = 4
mean with outlier = 11
median with outlier = 27.1
mean without outlier = 8
median without outlier = 8.7
outlier = 138
mean with outlier = 27.1
median with outlier = 11
mean without outlier = 8.7
median without outlier = 8
outlier = 138
mean with outlier = 8.7
median with outlier = 8
mean without outlier = 27.1
median without outlier = 11
Answers
Answer:
C. outlier = 138
mean with outlier = 27.1
median with outlier = 11
mean without outlier = 8.7
median without outlier = 8
Step-by-step explanation:
Hey there!
Well if the outlier is 138 then we can cross out choices A and B.
So let's find the mean with and without the outlier.
With - 27.1
Without - 8.7
Median)
With - 11
Without - 8
By using this information we can conclude that the answer is C.
Hope this helps :)
What conclusion can you make from the information below?
Three cousins (Donna, Marilyn, and Valr) have three different favorite types
of music (classical, pop, and hip-hop).
• Donna does not like classical.
• Valr does not like classical.
Answers
Answer:
Marilyn likes classical
Donna and Valr likes either pop or hiphop
How do you solve this type of problem, what would be the procedure? Assume PQRS is a parallelogram, if PQ=x2−10 and SR=3x , find all possible values of x.
Answers
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Given
Shape: Parallelogram PQRS
[tex]PQ = x^2 - 10[/tex]
[tex]SR = 3x[/tex]
Required
Find all possible values of x
Every parallelogram have parallel and equal opposite sides;
From the given parameters, one can easily deduce that PQ and SR are opposite sides;
This implies that
[tex]PQ = SR[/tex]
Substitute values of PQ and SR
[tex]x^2 - 10 = 3x[/tex]
Subtract 3x from both sides
[tex]x^2 - 10 -3x = 3x - 3x[/tex]
[tex]x^2 - 10 -3x = 0[/tex]
Rearrange
[tex]x^2 -3x- 10 = 0[/tex]
Now, we have a quadratic equation;
Expand the above expression
[tex]x^2 +2x-5x- 10 = 0[/tex]
Factorize
[tex]x(x+2)-5(x+2) = 0[/tex]
[tex](x-5)(x+2) = 0[/tex]
[tex]x - 5 = 0[/tex] or [tex]x + 2 = 0[/tex]
Solve for x in both cases
[tex]x = 5[/tex] or [tex]x = -2[/tex]
But x can't be negative;
So, the possible value of x is
[tex]x = 5[/tex]
The tables below show the number of flowers sold for Mother's Day the week before Mother's Day at two florists. Flower Power Day Number of Flowers Sunday 25 Monday 45 Tuesday 33 Wednesday 15 Thursday 47 Friday 37 Saturday 54Rose in the Hand Day Number of Flowers Sunday 18 Monday 27
Tuesday 55
Wednesday 64
Thursday 56
Friday 25
Saturday 50
What is the difference between the median number of flowers sold at each florist?
A. 49
B. 13
C. 25
D. 7
Answers
Answer:
B. 13
Step-by-step explanation:
Flower Power Day Number of Flowers median = 37
Rose in the Hand Day Number of Flowers median = 50
50 - 37 = 13
compare -5/6 _ -3/7 choose from 1) > 2)
Answers
Answer
1)<2) please put 5 stars
Step-by-step explanation
First you need to find the GCF of the donominators which are 6 and 7. The GCF is 42.
6*x=42. x=7 5*7=35. -35/42 is the first fraction.
7*y=42 y=6 3*6=18. -18/42 is the second fraction.
-35/42 would be bigger but since it is negative, it is smaller.
Answer:
1)<2)
Step-by-step explanation:
Searches related to Leonard measured the mass of each pumpkin in his patch to the nearest tenth of a kilogram. He then created both a histogram and a box plot to display the same data (both diagrams are shown below). Which display can be used to find how many pumpkins had masses below 6.0 kilograms? Choose 1 answer: Which display can be used to find that the median mass was 8 kilograms?
Answers
Answer:
Masses Below 6: Histogram
Median Mass: Box Plot
Step-by-step explanation:
For the pumpkins below 6 kilograms in mass, the Histogram is easier to use. The information is grouped in different masses. You could look at the '0-2.9' and the '3.0-5.9' areas to see pumpkins under 6 kilograms.
For the median, the box plot is easier to use. The line inside the box represents the median. This means that you can very easily see the median. The line is at the '8' mark, so the box plot shows that the median is 8.
Brainilest Appreciated.
(will mark brainliest if correct) find area and perimeter
Answers
216
Perimeter:
18
Answer:
32.137 cm squared **Answer varies on how you round for step 2**
Step-by-step explanation:
**THIS ONLY WORKS IF DIAMETER IS ALSO 6 CM**
If the diameter is also 6 cm then the triangle would be isosceles .
1. Find the area of the triangle.
Formula: (Base x Height) / 2
= 6X6/2 = 18 cm squared
2. Find area of half-circle.
Formula: (πR^2)/2
= (π X 3^2)/2 = 9π/2 which is about 14.137 cm squared
3. Add the areas.
18 + 14.137 = 32.137 cm squared.
Luis and Darcy are required to write essays for their English class. The table shows the number of words they wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228 Part A What is the mean number of words in Luis’s essays?
Answers
Answer:
210.8
Step-by-step explanation:
Solve: M = 7a + 5ab for a.
Select one:
a. M ( 7 + 5b )
b. M/ ( 7 + Fb)
c. M/ ( 7 - 5b)
d. M(7 - 5b)
algebra 1 really need help
Answers
Answer:r
Step-by-step explanation:
On isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.
What is the isolation of a variable in an equation?The isolation of a variable is a process to take one variable on one side of the equation and everything else on the other side. This is done following a set of mathematical operations.
How to solve the question?In the question, we are asked to solve for a, from the given equation:
M = 7a + 5ab.
To solve for a, we will isolate 'a' on one side of the equation, and on the other side, we will have the value of 'a'.
To isolate 'a', we will follow these steps:
M = 7a + 5ab
or, M = a(7 + 5b) ... (Taking a common between 7a and 5ab)
or, a(7 + 5b) = M ... (Changing the sides)
or, {a(7 + 5b)}/(7 + 5b) = M/(7 + 5b) ... (Dividing both sides by (7 + 5b))
or, a = M/(7 + 5b) ... (Simplifying)
Thus, on isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.
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If P = 3x2 – x + 2 and Q = x2 + 5x – 6, then P + Q = Question 3 options: A) 4x2 + 4x + 4 B) 4x2 – 4x – 4 C) 4x2 – 4x + 4 D) 4x2 + 4x – 4
Answers
Answer:
D) 4x2+4x=4
Step-by-step explanation:
3x2+x2=4x2
-x+5x=+4x
2-6=-4
Combine them for 4x2+4x-4
The correct expression will be 4x²+4x-4
What is expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given are two expression:- P = 3x²-x+2 and Q = x²+5x-6
On adding the given expressions, we get,
P+Q = 3x²-x+2+x²+5x-6
= 3x²+x²-x+5x+2-6
= 4x²+4x-4
Hence, P+Q = 4x²+4x-4
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Try it
y
5
U12.4)
4.
3. Show that the included angles, ZJ and V. are
congruent right angles.
y2-yi
Slope =
*2-X1
The slope of WU is
The slope of VU is
Therefore, U is
3
K(-6,2)
2
V
(52)
H(-3,0)
1W (0, 1)
15 -4 -2 -1 1 2.
3
4 5
-21
J (-5, -3)
Answers
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
slope of WU = (4 - 1)/(2 - 0) = 3/2
slope of VU = (2 - 4)/(5 - 2) = -2/3
product of the slopes: 3/2 * (-2/3) = -1
The slopes of WU and VU are negative reciprocals since their product is -1.
Therefore, <U is a right angle.
The slopes of WU and VU are negative reciprocals since their product is -1 Therefore, angle U is a right angle.
What is the slope of a line which passes through points ( p,q) and (x,y)?
Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
The slope of WU = (4 - 1)/(2 - 0) = 3/2
The slope of VU = (2 - 4)/(5 - 2) = -2/3
The product of the slopes: 3/2 * (-2/3) = -1
Thus, The slopes of WU and VU are negative reciprocals since their product is -1.
Therefore, angle U is a right angle.
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If y varies inversely with x and y= 17
when z = 11
when y = 11
find y when x=19
.
Answers
Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. 23 and 44
Answers
Answer:
21 < x < 67 answer
Range is between 21 and 67 where 21 and 67 are not included in the range.
Step-by-step explanation:
we will use the concept of triangle
1. sum of two sides of triangles is always greater than the third side
2. difference of trow sides of triangle is always less than the third side.
Given two sides
23 and 44
let the third side b x
using first concept
sum of to sides = 23+44 = 67
thus,
x <67
using second concept
Difference of to sides = 44 - 23 = 21
thus,
x > 21
Combining
x <67 and x > 21
21 < x < 67 answer
Range is between 21 and 67 where 21 and 67 are not included in the range.
The box plot shows the amount money that you spend each month on new clothes.
What is the median amount spent?
Answers
Answer:
80
Step-by-step explanation:
The median is the middle line of the box plot
Answer:
def 80
Step-by-step explanation:
If f(x) = square root of x+3, what is the equation for f–1(x)? f–1(x) = x2 - 3 f–1(x) = x2 + 3 f–1(x) = (x - 3) 2 f–1(x) = (x + 3) 2
Answers
Answer:
[tex]\Large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }[/tex]
Step-by-step explanation:
Hello,
[tex]\text{For }x+3\geq 0\\\\f(x)=\sqrt{x+3}\\\\x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{f^{-1}(x)+3}\\\\\text{*** take the square ***}\\\\f^{-1}(x)+3=x^2\\\\\text{*** subtract 3 from both sides ***}\\\\\large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }\\[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
if a person were to. begin exercise regularly, would his or her metabolism increase or decrease? what effect might this have on his or her body?
Answers
Answer:
increase
Step-by-step explanation:
The rate at which you burn calories is called your metabolic rate. During exercise, you not only increase metabolism in your muscles but also in your respiratory and circulatory systems. You need a faster rate of breathing and heart rate to deliver oxygen and nutrients to your muscles.
4x2 + 8x - 7 - (3x2 - X+9)
Answers
Answer:
[tex] {x}^{2} + 9x - 16[/tex]Step-by-step explanation:
[tex]4 {x}^{2} + 8x - 7 - (3 {x}^{2} - x + 9)[/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression:
[tex]4 {x}^{2} + 8x - 7 - 3 {x}^{2} + x - 9[/tex]
Collect like terms
[tex]4 {x}^{2} - 3 {x}^{2} + 8x + x - 7 - 9[/tex]
[tex] {x}^{2} + 9x - 7 - 9[/tex]
Calculate
[tex] {x}^{2} + 9x - 16[/tex]
Hope this helps...
Good luck on your assignment...
which expressions are equivalent to 252 check all that apply
Answers
Answer:
answer is5th one
Step-by-step explanation:
5th one is the answers...its equal to the expression given
You buy boxes of strawberries at the market. Each box cost $6. Write an equation for the number of dollars, d, you spend on b boxes. Yesterday, you purchased 2 boxes. Today you purchase 5 boxes. Place points on the graph to show your purchases yesterday and today.
Answers
Answer:
Heyyyy... Your ans!
Plz follow. Me..
Step-by-step explanation:
Answer:
Your answer is d=6b
Step-by-step explanation:
Diane runs 10 miles in 55 minutes, how many minuets does she take per mile?
Answers
Step-by-step explanation:
Hi!!
It's simple, you can do it easily.
no. of miles = 10 miles
time = 55 mins.
now,
no. of mins for 1 mile = no. of miles/ time
= 10 /55
=0.18181818 min.
so, she takes 0.181818 or 2/11 min per each mile.
Hope it helps...
Can any one help with this assssap please thanks!!
Answers
Answer:
8,12,16
Step-by-step explanation:
if the pattern is increasing by four's then the next three numbers would be
8,12,16
The pattern increases by four so 8 , 12 , 16
Are next
Consider the trapezoid with given dimensions. Suppose it is dilated by a scale factor of
1
4
.
A trapezoid with bases of 18 feet and 12 feet, height of 4 feet, and side length of 5 feet.
What statements are true? Check all that apply.
The height of the new trapezoid will be 1 ft.
The height of the new trapezoid will be 16 ft.
The area of the new trapezoid is One-fourth times the area of the original trapezoid.
The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.
The area of the new trapezoid is 4 times the area of the original trapezoid.
Answers
Answer: 1 & 4
Step-by-step explanation:
Just did it
Answer:
A.The height of the new trapezoid will be 1 ft.
D.The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.
Step-by-step explanation:
edg2020
Point P has coordinates P(-2, 4). What are the coordinates of the image P'' after I translate point P: 4 units to the right 2 units down and then 1 unit to the left and 5 up? 1. The x-coordinate of P'' is: 2.The y-coordinate of P'' is:
Answers
Answer:
P''(1, 7)
Step-by-step explanation:
4 units right and 1 left will add a net of +3 to the x-coordinate.
2 down and 5 up will add a net of +3 to the y-coordinate.
The coordinates of P with 3 added to each are ...
P'' = P(-2, 4) +(3, 3) = P''(1, 7)
Given a line segment that contains the points A,B,& C in order, if AB = x + 12, and Bo2.4, and AC = 26, find x.
Answers
Answer:
x=11.6
Step-by-step explanation:
Carla bought quail eggs for 10 cents each. She bought 42 eggs. How much did she pay for
the eggs?
Answers
Answer:
420 cents or $4.20
Step-by-step explanation:
if each egg is 10 cents then
U MULTIPLY 42*10=X
420=X
SO 420 CENTS OR 4.20$
HOPE I HELPED
CAN I GET BRAINLIEST PLS?
-ZYLYNN
I dont understand how they got that awnser
Answers
Answer:
its quite simple...
the formula to find volume= width x height x length ( or area x length)
Step-by-step explanation:
of A
width =5 cm height= 9cmof B
width= 3height= 2length of whole prism= 4
Volume (A)= w x h x l
= 5 x 9 x 4
= 180 cm³
volume (B)= w x h x l
= 3 x 2 x 4
= 24 cm³
add both values to get the volume of whole prism = 180 + 24
= 204 cm³
I hope this helped
A Magic Carpet is 12 feet long and 10 feet wide. However, only the purple part of the Magic Carpet has magic power. If the magic part is 2 feet wide, find the area of the magic part of the Magic Carpet.
Answers
Answer:
24 ft.
Step-by-step explanation:
2x12=24
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation? 1200 = 40 (40) + b 1560 = 30 (40) + b 1560 = 30 (52) + b 1200 = 52 (30) + b
Answers
The slope (change in y/change in x) of the line is (1560 - 1200)/(52 - 40), which is equal to 30. We can plug this into the equation y = mx + b using either the point (40, 1200) or (52, 1560). The slope is represented by m and the y - intercept by b. Therefore, the two possible equations you could use are:
1200 = 30(40) + b
or 1560 = 30(52) + b
Using either equation, you'll get that b is equal to 0, which makes sense in the context of the problem, since it's reasonable to expect that the labor expenses would be 0 for 0 hours worked.
Answer:
im pretty sure its C
Step-by-step explanation:
Hope this helped! :) Oh and I took the test on edge and got a good grade, but i didnt know if i got this right or wrong bc i couldnt look back at it