Answers
ANSWER
The correct choice is C.
EXPLANATION
The given graph has vertical asymptote at x=1.
Therefore , the denominator of the function represented by the graph should be 1-x
The graph also has a horizontal asymptote at y=-6. The numerator should be of the form
b+6x,
where b is a constant.
So that the horizontal asymptote will be
[tex]y = \frac{6}{ - 1} = - 6[/tex]
Our rational function now becomes
[tex]y = \frac{b + 6x}{1 - x} [/tex]
The function also has a y-intercept of 3,
[tex]3 = \frac{b + 6(0)}{1 - 0} = b[/tex]
Therefore the required function is
[tex]y = \frac{3 + 6x}{1 - x} [/tex]
Related Questions
find the difference square 20- square 80
Answers
The difference between the square of 80 and the square of 20 is 6000.
Explanation:The student's question appears to ask for the difference between the squares of two numbers, specifically square 20 and square 80.
To find this difference, each number must be squared and then the smaller result subtracted from the larger one.
Squaring a number means multiplying the number by itself, so square 20 (which is 20²) equals 400 and square 80 (which is 80²) equals 6400.
Next, we find the difference by subtracting the smaller square from the larger one:
6400 (square 80) - 400 (square 20) = 6000
This calculation reveals that the difference between the square of 80 and the square of 20 is 6000.
if (3,4) is reflected across the x-axis what are the new coordinates
Answers
Answer:
The answer is (-3, 4).
Step-by-step explanation:
(3, 4) is located in Quadrant I, which is (+, +). Since you're reflecting the point across the x-axis, you'll be in Quadrant IV, which is (-, +). The point will now be (-3, 4).
I hope this helped! :-)
−3(4x−2)=21−4(1+4x)
solve for x
Answers
Step-by-step explanation:
Use the distributive formula to solve for x:
a(b + c) = ab + ac
-3(4x - 2) = 21 - 4(1 + 4x)
1. Use distributive property:
-12x + 6 = 21 - 4 - 16x
2. Simplify:
-12x + 6 = 17 - 16x
3. Add 16x to both sides
-12x + 16x + 6 = 17 - 16x + 16x
4. Simplify:
4x + 6 = 17
5. Subtract 6 from both sides
4x + 6 - 6 = 17 - 6
6. Simplify
4x = 11
7. Now, divide both sides by 4
4x/4 = 11/4
8. Simplify:
x = 11/4 <------ Answer
Hope this Helped!!
~Shane
Answer:
x = 2.75
Explanation:
Solve for x:
Use distributive property.
−3(4x − 2) = 21 − 4(1 + 4x)
Combine like terms.
-12x + 6 = 21 - 4 - 16x
Add -12x on both sides.
-12x + 6 = 17 - 16x
+ 12x + 12x
Subtract 17 on both sides.
6 = 17 - 4x
-17 -17
Divide -4 on each side to get x alone.
-11 = -4x
---- -----
-4 -4
And you get your solution to x.
2.75 = x
Check:
Substitute 2.75 to x.
−3(4(2.75) − 2) = 21 − 4(1 + 4(2.75))
Multiply 2.75 by 4.
-3(11 - 2) = 21 - 4(1 + 11)
Distribute.
-33 + 6 = 21 - 4 - 44
Subtract 21 by 4.
-33 + 6 = 17 - 44
Subtract.
-27 = -27
Simplify the expression.
4(-8x + 5) – (-33x – 26) =
Answers
The simplified expression is x + 46.
To simplify the expression, let's distribute and simplify each term:
4(-8x + 5) - (-33x - 26)
First, distribute 4 into -8x + 5:
= -32x + 20
Then, distribute -1 into -33x - 26:
= -32x + 20 + 33x + 26
Now, combine like terms:
= (-32x + 33x) + (20 + 26)
= 1x + 46
= x + 46
So, the simplified expression is x + 46.
Which are equivalent to the expression x^1/2 * x^1/2
Answers
Answer:
x and see others below
Step-by-step explanation:
To find the equivalent expression, multiply the terms using exponent rules.
Exponent rules state to add the exponent of same bases being multiplied.
[tex]x^{\frac{1}{2}} *x^{\frac{1}{2}} =x^{\frac{1+1}{2}} =x^{\frac{2}{2}} = x^1 = x[/tex]
Each of the parts of the expression are equivalent. The simplified equivalent expression is x.
Write a subtraction problem in which you have to rename a fraction and whose solution is between 3 and 4
Answers
Answer:
lol
Step-by-step explanation:
What is the area of the tile?
Answers
The area of the tile is 9 square inches.
Area of the tile;The area of the tile is given by a product of length and width.
Given
The length of the tile = 3 inches
The width of the tile = 3 inches
The area of the tile is defined as the length of the tile and width of the tile.
[tex]\rm Area \ of \ the \ tile=Length \times Width\\\\[/tex]
Substitute all the values in the formula;
Area of the tiles = length × width
Area of the tile = 3 × 3
Area of the tile = 9
Hence, the area of the tile is 9 square inches.
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The area of a square (side*side) tile with sides of 3 inches is 9 square inches.
Explanation:The question is asking for the area of a square tile with a side length of 3 inches. In mathematics, the area of a square can be found using the formula Area = side².
So, in this case, the area would be 3² = 9.
This means that the area of the tile is 9 square inches.
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(03.02 MC) Elevator 1 in a building moved from ground position to a final position of +17 feet. Elevator 2 in the same building moved from ground to a final position of –22 feet. Which statement best describes the final positions of these two elevators? (1 point)
Select one:
a. Elevator 1 is 17 feet below ground level, and elevator 2 is 22 feet above ground level.
b. Elevator 1 is 17 feet above ground level, and elevator 2 is 22 feet below ground level.
c. Elevator 1 is 17 feet above ground level, and Elevator 2 is 22 feet below the position of Elevator 1.
d. Elevator 1 is 17 feet below ground level, and Elevator 2 is 22 feet above the position of Elevator 1.
Answers
Answer: option b.
Step-by-step explanation:
Based on the information given, you know that:
- The ground is at 0 feet.
- The initial posititions of both elevators were at 0 feet (because both moved from the ground level).
Therefore:
- If the final position of Elevator 1 is at +17 feet (positive) means that it moved 17 feet above the ground level.
- If the final position of Elevator 2 is at -22 feet (observe the negative sign) means that it moved 22 feet below the ground level.
A park is in the shape of a parallelogram. The park has an area of 776.25 square yards. The base of the park is 34.5 yards. marta wants to jog 10 sprints. each sprint is the same distance as the height of the park. how far will Marta sprint?
Answers
Answer:
The height is given by: 776.5 / 34.5 = about 22.5 yards. So....10 times this is about 225 yards.
what is the expression in factored form? 9x^2-12x+4
Answers
Answer:
[tex]\boxed{\bold{\left(3x-2\right)^2}}[/tex]
Step By Step Explanation:
Rewrite [tex]\bold{9x^2-12x+4}[/tex][tex]\bold{\left(3x\right)^2-2\cdot \:3x\cdot \:2+2^2}[/tex]
Rewrite Equation[tex]\bold{\left(3x\right)^2-2\cdot \:3x\cdot \:2+2^2}[/tex]
Apply Perfect Square Formula [tex]\bold{\left(a-b\right)^2=a^2-2ab+b^2: \ a=3x,\:b=2}[/tex][tex]\bold{\left(3x-2\right)^2}[/tex]
ANSWER
[tex]9 {x}^{2} - 12x + 4 = (3x - 2) ^{2} [/tex]
EXPLANATION
The given expression is
[tex]9 {x}^{2} - 12x + 4[/tex]
This is in the form
[tex]a {x}^{2} + bx + c[/tex]
[tex]a=9,b=-12 ,c=4[/tex]
[tex]ac=9 \times 4 = 36[/tex]
Split with -6x-6x
[tex]9 {x}^{2} - 6x - 6x + 4[/tex]
[tex] = 3x( 3x - 2) - 2(3x - 2)[/tex]
Factor further to obtain,
[tex] = (3x - 2)(3x - 2)[/tex]
[tex] = (3x - 2) ^{2} [/tex]
I need to know how to find the slope?
Answers
Count how many units up and to the right the second point is from the first point. Divide these two numbers. 4 / 2 = 2
Please consider marking this answer as Brainliest to help me advance.
the slope is 2
4/2= 2
Sam conducted a survey to find out the favorite weekend activity of the students in his middle school. He asked 20 of his classmates. He found out that the favorite weekend activity of his middle school is playing video games because 75% of the students he surveyed liked to play video games. Explain why Sam’s sample may not be valid. Provide 2 or 3 sentences of explanation with facts to support your answer. How could Sam improve his survey to be more representative of his school?
Answers
Answer
So, Sam only asked 20 people in his entire middle school. That is a very small fraction of the amount of kids attending that school. He cannot say that video games is 75% of the entire school's favorite weekend activity if he only asked 20 people. To get a better, more valid result, he should ask around 100+ kids.
Step-by-step explanation:
BC is parallel to DE. What is the length of CE?
A) 2 1/3
B) 2 2/3
C) 3 1/3
D)3
Answers
Is there supposed to be a picture
Answer:
[tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
Given : BC is parallel to DE
To Find : What is the length of CE?
Solution :
AB = 3
BD = 2
AC = 4
Since BC || DE
So, [tex]\frac{AB}{BD}=\frac{AC}{CE}[/tex]
[tex]\frac{3}{2}=\frac{4}{CE}[/tex]
[tex]CE=\frac{4 \times 2}{3}[/tex]
[tex]CE=\frac{8}{3}[/tex]
[tex]CE=2\frac{2}{3}[/tex]
Hence the length of CE is [tex]2\frac{2}{3}[/tex]
31*20 hey can u help me solve this problem for me.
[tex] [/tex]
Answers
Use a graph to find x and y values that make both y=-x+3 and y=2x−5 true.
Answers
Two lines y = -x + 3 and y = 2x - 5 are graphed to find their intersection, which gives the x and y values that satisfy both equations.
Explanation:To find x and y values that satisfy both equations y = -x + 3 and y = 2x - 5, we need to graph these equations and look for their point of intersection.
Start by plotting the line y = -x + 3. For example, when x=0, y=3 and when y=0, x=3.Next, plot the line y = 2x - 5. Here, when x=0, y=-5 and when y=0, x=2.5.Draw both lines on the same set of axes. The point where they cross is the solution to the system of equations.The intersection represents the x and y values that make both original equations true simultaneously. Use the graph to identify the coordinates of this point for the exact solution.
Out of the choices provided, only [tex]$(-3,5)$[/tex] lies on the intersection of the two lines. Thus the answer is a. [tex]$(-3,5)$[/tex].
Here's a step-by-step solution to find the x and y values that satisfy both equations:
1. Graph the Equations:
Take the first equation, y = -2/3x + 3. This equation is in slope-intercept form (y = mx + b), where m (slope) is -2/3 and b (y-intercept) is 3.
- Plot the y-intercept (3) on the y-axis.
- Since the slope is -2/3, remember "rise over run." So in this case for every 2 positions you move down (because it's negative), you move 3 positions to the right. Plot another point based on this movement.
- Connect these two points with a straight line.
- Repeat the process for the second equation, y = 2x - 5. This equation is also in slope-intercept form with m (slope) as 2 and b (y-intercept) as -5.
- Plot the y-intercept (-5) on the y-axis.
- The slope is 2, so for every 2 positions you move up, you move 1 position to the right. Plot another point based on this movement.
- Connect these two points with a straight line.
2. Find the Intersection Point:
- Observe the graph. The point where the two lines intersect represents the solution where both equations are true simultaneously.
- In this case, the lines intersect at the point (-3, 5).
Verification:
- You can substitute x = -3 and y = 5 in both the original equations and see if they hold true.
- For y = -2/3x + 3, substituting x = -3 gives you y = (-(2/3) [tex]\times[/tex] (-3)) + 3 = 2 + 3 = 5 (which is true).
- For y = 2x - 5, substituting x = -3 gives you y = (2 [tex]\times[/tex] -3) - 5 = -6 - 5 = -11 (which is not true).
Therefore, the solution (x, y) that makes both equations true is (-3, 5). This is the point where the two lines intersect on the graph.
The graph is provided below.
The associative property does not work for which operations? Check all that apply
Answers
Division and subtraction.
Associative property does not work for Subtraction and Division.
What is associative property?The associative property states that after grouping the expressions in different ways the outcome will not change.
How to know in which operations the associative property will not be applicable?Checking whether the associative property is applicable for addition.(a + b) + c = a +(b + c)
So associative property is applicable for addition.
Checking whether the associative property is applicable for multiplication.( a X b) X c = a X ( b X c) = abc
So associative property is applicable for multiplication
Checking whether the associative property is applicable for Division.(a ÷ b) ÷ c ≠ a ÷ (b ÷ c)
So, the associative property is not applicable for Division
Checking whether the associative property is applicable for Subtraction.(a-b) - c ≠ a - (b -c)
So, the associative property is not applicable for Subtraction
So, we can say associative property does not work for Subtraction and division.
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Sylvia is changing the light bulbs of the big light fixture in her dining room. She finished 1 5 of the bulbs in 10 minutes. What fraction of bulbs does she have left to do? A) 1 5 B) 2 5 C) 3 5 D) 4 5
Answers
Answer:
D
Step-by-step explanation:
5/5 -1/5=4/5
Compute the conditional probabilities P(A|B) and P(B|A).
Answers
Answer:
Step-by-step explanation:
Good evening ,
P(A|B) = P(A∩B)/P(B)
P(B|A) = P(A∩B)/P(A)
:)
In triangle JKL, m of angle J = 90, m of angle K = 30, and m of angle L = 60. Which of the following statements about triangle JKL are true?
Answers
Answer:
option C. [tex]KL=2*JL[/tex]
option D. [tex]JK=\frac{\sqrt{3}}{2}*KL[/tex]
option F. [tex]JK=\sqrt{3}*JL[/tex]
Step-by-step explanation:
step 1
we know that
In the right triangle JKL
[tex]sin(30\°)=\frac{JL}{KL}[/tex]
[tex]sin(30\°)=\frac{1}{2}[/tex]
so
[tex]\frac{1}{2}=\frac{JL}{KL}[/tex]
[tex]KL=2*JL[/tex]
step 2
[tex]cos(30\°)=\frac{JK}{KL}[/tex]
[tex]cos(30\°)=\frac{\sqrt{3}}{2}[/tex]
so
[tex]\frac{\sqrt{3}}{2}=\frac{JK}{KL}[/tex]
[tex]JK=\frac{\sqrt{3}}{2}*KL[/tex]
step 3
[tex]tan(30\°)=\frac{JL}{JK}[/tex]
[tex]tan(30\°)=\frac{1}{\sqrt{3}}[/tex]
[tex]\frac{1}{\sqrt{3}}=\frac{JL}{JK}[/tex]
[tex]JK=\sqrt{3}*JL[/tex]
Given f(x)= 10-2x, fins f(7)
Answers
Answer:
-4
Step-by-step explanation:
Okay so basically with functions you are gonna wanna substitute 7 where x is since x=7.
10-2(7) = ?
2 x 7 = 14
10-14=-4
Have a nice day hope this helps :)
:)
Answer:
Step-by-step explanation:
Just put 7 in the place of x
[tex]f(7)=10-2(7)\\f(7)=10-14\\f(7)=-4[/tex]
Tony needs to create a platform shaped like the diagram with the labeled dimensions. How many cubic feet of concrete are required? A) 60 cubic feet B) 81 cubic feet C) 108 cubic feet D) 135 cubic feet
Answers
∴(108+27) cubic feet = 135 cubic feet of concrete are required.
The dimension of lower step is 6 ft× 3 ft× 1.5 ft
and the dimension of upper step is 6 ft ×(9-3)ft × (1.5+1.5)ft = 6 ft × 6 ft ×3 ft
Therefore concrete are required to make lower step = (6×3×1.5) cubic feet
= 27 cubic feet
and concrete are required to make upper step = (6×6×3) cubic feet
=108 cubic feet
∴(108+27) cubic feet = 135 cubic feet of concrete are required.
complete questions
Tony needs to create a platform shaped like the diagram with the labeled dimensions.
How many cubic feet of concrete are required?
A) 60 cubic feet
B) 81 cubic feet
C) 108 cubic feet
D) 135 cubic feet
What is the answer to the question above
Answers
Answer: [tex]\bold{\dfrac{2}{65}}[/tex], Dependent
Step-by-step explanation:
[tex]\dfrac{\text{\# of vowels}}{\text{total \# of letters}}[/tex]
1st draw and 2nd draw
[tex]\dfrac{5}{26}[/tex] x [tex]\dfrac{4}{25}[/tex] = [tex]\dfrac{20}{650}[/tex]
[tex]\dfrac{20}{650}\div\dfrac{10}{10}=\dfrac{2}{65}[/tex]
This is dependent because the number of vowels remaining for the 2nd draw is dependent on whether or not a vowel was chosen on the 1st draw.
Nadia cuts 3 pieces of equal length from 8 yards of ribbon.How long is each piece
Answers
Answer:
2 1/3 yards each
Step-by-step explanation:
8 yards / 3 equal pieces = 8/3 yards for each piece or 2 1/3.
Answer: 2 2/3 yards
Step-by-step explanation:
The ribbon is 8 yards long
it is cut in 3 equal pieces so
8 yards divided by 3 yards = 2 2/3 yards
what is this answer?
Answers
Answer:
I -3/20
Step-by-step explanation:
-3 2
---- * -----
8 5
Multiply the numerators
-3*2 = -6
Multiply the denominators
8*5= 40
The fraction is
-6/40
Both the top and the bottom can be divided by 2
-6/2 = -3
40/2 =20
The fraction becomes
-3/20
what are simulations?
Answers
Answer:
Step-by-step explanation:
"A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in the social sciences (such as economics, psychology, sociology, political science).
A model may help to explain a system and to study the effects of different components, and to make predictions about behavior."
Find the circumference of a circle with an area of 201.06 square inches.
Answers
Answer: C= 50.2652
Step-by-step explanation:
The circumference of a circle with an area of 201.06 square inches is approximately 50.24 inches, after calculating the radius from the area and applying it to the circumference formula.
Explanation:To find the circumference of a circle when given the area, you'll want to perform a series of mathematical steps. The area of a circle is given by the formula A = πr², and the circumference is given by C = 2πr. You can rearrange the area formula to solve for the radius, r, and then substitute that into the circumference formula.
First, solve for the radius:
A = πr² → r = √(A/π) → r = √(201.06/π).
Once you have r, plug it into the circumference formula:
C = 2πr.
Using a calculator, you'll find the following values:
r = √(201.06/3.14) which is approximately r = 8 inches.Then calculate the circumference: C = 2 × 3.14 × 8 which is approximately C = 50.24 inches.The circumference of a circle with an area of 201.06 square inches is approximately 50.24 inches.
The ordered pair(5,-3) is a solution to which of the following inequalities? a. y≥−2x+8 b. −2y<3x−9 c. y−2x>5 d. 4y+2x≤−1
Answers
Answer:
Option d. [tex]4y+2x\leq -1[/tex]
Step-by-step explanation:
we know that
If a ordered pair is a solution of an inequality, then the ordered pair must be satisfy the inequality
Verify each case
case a) [tex]y\geq2x+8[/tex]
we have
[tex]x=5, y=-3[/tex]
Substitute the value of x and the value of y in the inequality and then compare the results
[tex]-3\geq2(5)+8[/tex]
[tex]-3\geq18[/tex] -----> is not true
therefore
the ordered pair is not a solution
case b) [tex]-2y<3x-9[/tex]
we have
[tex]x=5, y=-3[/tex]
Substitute the value of x and the value of y in the inequality and then compare the results
[tex]-2(-3)<3(5)-9[/tex]
[tex]6<6[/tex] -----> is not true
therefore
the ordered pair is not a solution
case c) [tex]y-2x>5[/tex]
we have
[tex]x=5, y=-3[/tex]
Substitute the value of x and the value of y in the inequality and then compare the results
[tex]-3-2(5)>5[/tex]
[tex]-13>5[/tex] -----> is not true
therefore
the ordered pair is not a solution
case d) [tex]4y+2x\leq -1[/tex]
we have
[tex]x=5, y=-3[/tex]
Substitute the value of x and the value of y in the inequality and then compare the results
[tex]4(-3)+2(5)\leq -1[/tex]
[tex]-2\leq -1[/tex] -----> is true
therefore
the ordered pair is a solution
d. 4y+2x≤−1
Step-by-step explanation:
pls help will give brainliest and 5star plssssss
Answers
2)
P(4,-4) -->(-4, 7)
4 - 8 = -4 -------->left 8
-4 + 11 = 7 -------->up 11
Answer: left 8; up 11
3)
C(3,-1) , left 4 up 1
3 - 4 = -1 -------->left 4
-1 + 1 = 0 -------->up 1
a)
(x , y) -->(x - 4 , y +1)
C(3, -1) -->C'(-1 , 0)
b)
(x , y) --> (x - 4, y + 1); (-1 , 0)
Help I’ll rate you brainliest
Answers
Answer:
Pretty sure it's 2 strides
Step-by-step explanation:
To get from 7 to 5 you minus by 2, and look how many spaces there are. There are 2
Find the value of s 1/3 s + 14= 26
Answers
Answer:
S = 36
Step-by-step explanation:
s/3 + 14= 26
s/3 = 12
s = 36
Answer:
Step-by-step explanation: (1/3)*s+14 = 26 // - 26
(1/3)*s-26+14 = 0
1/3*s-12 = 0 // + 12
1/3*s = 12 // : 1/3
s = 12/1/3
s = 36
s = 36