Answers
The vertical asymptote is at 0 and at -8
Let's evaluate to the left of -8
[tex]\frac{x+6}{x(x+8)}=\text{ }\frac{-12+6}{-12(\text{ -4\rparen}}=\frac{-6}{48}=-\frac{1}{13}[/tex]And if it is 1.
[tex]\begin{gathered} \frac{7}{1(9)}=\frac{7}{9} \\ \\ if\text{ x=2 } \\ \frac{8}{20}=\frac{4}{10}=\frac{2}{5} \end{gathered}[/tex]so, when x increases it becomes smaller, so it wil approach the asymptote
so, the answer is
C = 0 ; -8
Related Questions
[tex]15 + (7 - 10[/tex]equals what?a: 13b: 36c: 12
Answers
we solve the absolute value first
[tex]\begin{gathered} 15+|-3| \\ 15+3 \end{gathered}[/tex]and do the sum
[tex]15+3=18[/tex]So that would leave us with 15+-3 which you can just drop the addition sign which would just be 15-3 and your answer would be C: 12.
if anyone can help out and show the steps it would be very helpful :]
Answers
The two rectangles are not congruent because they have different sizes.
what is congruency?
When two figures or things are similar in size and shape, or when one is the mirror image of the other, they are said to be congruent.
Main Body:
we know the formula of distance between two points =[tex]\sqrt{x^{2}+y^{2} }[/tex] where x= (x₁-x₂) and y= (y₁-y₂)
The length of side HI =[tex]\sqrt{(1+4)^{2} +(1-1)^{2} }[/tex] = 5 units
length of side IJ = 3 units
length of side JK = 5 units
length of side KH = 3 units
similarly side of rectangle LMNO are
LM= 3 units
MN = 6 units
NO = 3 units
OL = 6 units
Therefore rectangle HIJK and LMNO are not congruent.
These rectangle can be congruent if N changes to (2,-2) and O changes to (-1,-2).
Hence the answer to congruent rectangle in the first condition is no.
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Eleven students are competing in an art contest. In how many different ways can the students finish first second and third
Answers
The best way to solve this problem is to imagine the situation as follows: Suppose that each position (first, second and third) is a numbered box. (first is box number one, and so on).
Now, imagine that each student is a ball that is numbered from 1 up to 11.
The situation translates to calculate in how many different ways we can put a ball in each box, without putting 2 balls in each box. We have the following
To solve this, we will use the multiplication principle. This principle relays on multiplying the number of possibilites for each box. Consider the case in which we will fill the box number 1. We can choose any of the numbers, so we have 11 posibilites. Now, suppose that we chose one number for box 1, and now we want to fill box 2. Then, we will have 10 possibilites only, since we already picked one. In the same manner, to fill the third box we have 9 possibilities. So the total number of possibilites is the product of this three numbers. That is
[tex]11\cdot10\cdot9\text{ = 990}[/tex]Write a numerical expression for the phrase and then simplify the expression.
16 added to the sum of -21 and 4
The numerical expression for the given phrase is _____.
Answers
Answer:
16+(-21+4) = -1
Step-by-step explanation:
16 added to .. is 16 + ..
the sum of -21 and 4 is (-21 + 4)
So we get 16+(-21+4), that equal -1
w6ZThe measure of arc XY is 85 degrees. The measure of arc WZ is 25 degrees. What is the measure of angle 32760 degrees12.5 degrees
Answers
Answer:
30degrees
Explanation:
Using the theorem;
The angle at the vertex is half the difference of the angles at its intercepted arc. Mathematically,
<3 = 1/2(arc XY - arc WZ)
Given
arc XY = 85degrees
arc WZ = 25 degrees
Substitute the given values into the formula;
<3 = 1/2 (85-25)
<3 = 1/2(60)
<3 = 60/2
<3 = 30degrees
Hence the measure of <3 is 30degrees
The bowling team at Lincoln High School must choose a president, vice president;and secretary. If the team has 16 members, how many ways could the officers bechosen?
Answers
The bowling team at Lincoln High School must choose a president, vice president and secretary.
the team has 16 members.
let x be the no.of ways could the officers be chosen.
[tex]\begin{gathered} X=16\times15\times14 \\ X=3360 \end{gathered}[/tex]Thus, Officers can be chosen in 3360 ways.
Verite an equation in standard form of the line passing through the points (6,4)and (-4,9)COLLIThe equation is (Type your answer in standard form.)>
Answers
The standard form of a linear equation is expressed as
Ax + By = C
The given points that the line passed through are (6, 4) and (- 4, 9)
The first step is to find the slope of the equation. The formula for finding slope is expressed as
slope, m = (y2 - y1)/(x2 - x1)
From the points given,
x1 = 6, y1 = 4
x2 = - 4, y2 = 9
m = (9 - 4)/(- 4 - 6) = 5/- 10
m = - 1/2
The eqyation of a line in the slope intercept form is expressed as
y = mx + c
m = slope
c = y intercept
To find c, we would substitute m = - 1/2, x = 1 and y = 4 into the slope intercept equation. It becomes
4 = - 1/2 * 1 + c
4 = - 1/2 + c
c = 4 + 1/2 = 9/2
Thus, we have
y = - x/2 + 9/2
Converting it to standard form, the standard form is
x/2 + y = 9/2
- x + 2y = 9
where
A = - 1, B = 2 and C = 9
Need help with number 5 and 7 they are short questions.
Answers
5) Notice that angles 4 and 2 are corresponding angles, since FG is parallel to HJ then:
[tex]m\angle4=m\angle2.[/tex]If m<2=45º, then by the transitive property we get:
[tex]m\angle4=45º.[/tex]7) Notice that angles 3 and 6 are aternating exterior angles, since FG is parallel to HJ then:
[tex]m\angle3=m\angle6.[/tex]If m<6=135º then by the transitive property we get:
[tex]m\angle3=135º.[/tex]Answer:
(5)
[tex]m\angle4=45º.[/tex](7)
[tex]m\angle3=135º.[/tex]Hi, can you help me answer this question please, thank you!
Answers
The formula for the test hypothesis for proportion
[tex]Z=\frac{p-p_0}{\sqrt[]{\frac{p_0(1-p_0)}{n}}}[/tex]Given
[tex]\begin{gathered} p=\frac{63}{108}=0.5833 \\ \\ p_0=0.59 \\ n=108 \end{gathered}[/tex]Substitute into the formula
[tex]\begin{gathered} Z=\frac{0.5833-0.59}{\sqrt[]{\frac{0.59(1-0.59)}{108}}} \\ \\ Z=\frac{-0.0067}{\sqrt[]{0.000224}} \\ \\ Z=-0.1416 \\ To\text{ two decimal place} \\ Z=-0.14 \end{gathered}[/tex]The graph of the function h(x) = 2x2 is shown on the grid below. Graph the function g(x) = 2(x + 1)2 – 8 in the interactive graph.
Answers
inConsider the h(x) as the parental function
[tex]h(x)=2x^2[/tex]To determine the function g(x), there were two transformations performed to the parental function.
-First, they added 1 to the x-term, which results on a horizontal translation of one unit to the left
[tex]h(x+1)=2(x+1)^2[/tex]-Second, there were subtracted 8 units to the function, which results in a vertical translation down:
[tex]\begin{gathered} g(x)=h(x+1)-8 \\ g(x)=2(x+1)^2-8 \end{gathered}[/tex]So the function g(x) has the same shape as function h(x) but its vertex is on the coordinates (-1,-8)
Choose the equation that represents this situation. Use p to represent the price of a computer and t to represent the total cost.A store adds a $25 fee to the price of an upgraded computer.
Answers
Answer: A. t = p + 25
Explanation
Given
• p represents the price of a computer.
,• t represents the total cost.
,• A $25 fee for the price of an upgraded computer.
Procedure
t represents the total cost and p is the price of a computer, and the $25 fee is added to the price, which increases the total cost. Thus, the equation representing the situation would be the total cost equals the price plus the fee, which algebraically written is:
[tex]t=p+25[/tex]This asks for surface area. How do I do this?
Answers
To find the surface area we can find the area of each face and sum them
the we find the area of each face, whe have 3 triangles around and a triangle on base
Triangles around are the same triangle then I calculate one area
area
[tex]\begin{gathered} A=\frac{b\times h}{2} \\ \\ A=\frac{6\times7.2}{2} \\ \\ A=\frac{43.2}{2}=21.6 \end{gathered}[/tex]area of this face is 21.6sqaure yd
Base triangle
area
[tex]\begin{gathered} A=\frac{b\times h}{2} \\ \\ A=\frac{6\times5.2}{2} \\ \\ A=\frac{31.2}{2}=15.6 \end{gathered}[/tex]area of this face is 15.6 sqaure yd
Surface
we sum the area of each face, 3 Frist triangles and the triangle of the base
[tex]\begin{gathered} S=3(21.6)+15.6 \\ S=64.8+15.6 \\ S=80.4 \end{gathered}[/tex]Total surface area is 80.4 square yards
In a group of 40 students, the probability that at most 1 of them like to hikeis 54%. What is the probability that at least 16 of them like to hike?A. 46%B. 62%C. 38%D. 55%
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
In a group of 40 students, the probability that at most 1 of them like to hike
is 54%. What is the probability that at least 16 of them like to hike?
A. 46%
B. 62%
C. 38%
D. 55%
Step 2:
The details of the solution are as follows:
Therefore, the remaining possibility is the probability for at least 16 of them like to hike.
CONCLUSION:
The final answer is:
[tex]46\text{ \% \lparen OPTION A \rparen}[/tex]Simplify (w^5/x^3)^8
Answers
Given the expression
[tex](\frac{w^5}{x^3})^8[/tex]Use the facts that
[tex](\frac{a}{b})^n=\frac{a^n}{b^n},(a^m)^n=a^{mn}[/tex]So, the expression can be simplified as:
[tex]\begin{gathered} \frac{(w^5)^8}{(x^3)^8}=\frac{w^{5\cdot8}}{x^{3\cdot8}} \\ =\frac{w^{40}}{x^{24}} \end{gathered}[/tex]10) Using the law of sines, determine whether the given information results in one triangle, two triangle or no triangle at all. Solve any triangle that results. a= 6B = 18Angle A =150 degree
Answers
step 1
Find out the measure of angle B
Applying the law of sines
[tex]\frac{a}{sinA}=\frac{b}{sinB}[/tex]substitute given values
[tex]\frac{6}{s\imaginaryI n150}=\frac{18}{s\imaginaryI nB}[/tex]Solve for B
[tex]\begin{gathered} sinB=\frac{18*s\mathrm{i}n150^o}{6} \\ \\ sinB=1.5 \end{gathered}[/tex]The greater value of the sine is 1
so
The triangle does not existellot swims 1/2 of a mile per hour how long will it take Elliot to swim 5 miles
Answers
Divide 5 miles by 1/2 of a mile to see how many half miles are there on 5 miles:
[tex]\frac{5\text{ miles}}{1/2\text{ mile}}=10[/tex]Since each half mile takes one hour, then Elliot would swim 10 half miles on 10 hours.
Therefore, the time that Elliot would take to swim 5 miles is 10 hours.
Determine whether figure ABCD is a parallelogram (let me know if you need to see the answer choices)
Answers
Answer:
Figure ABCD is a parallelogram
AB is congruent to CD, and the slopes of AB and CD are the same, so one pair of opposite sides AB and CD are both parallel and congruent.
Explanation:
For any quadrilateral to be considered a parallelogram, one pair of opposite sides of the quadrilateral must be parallel and congruent.
We can see from the graph that the vertices of figure ABCD are A(1, 2), B(3, 4), C(3, -1), and D(1, -3)
Let's go ahead and determine the slope of line AB using the slope formula;
[tex]\text{Slope of line AB }=\frac{y_2-y_1}{x_2-x_1}=\frac{4-2}{3-1}=\frac{2}{2}=1[/tex]Let's determine the slope of line CD using the slope formula as seen below;
[tex]\text{Slope of line CD }=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-(-1)}{1-3}=\frac{-3+1}{-2}=\frac{-2}{-2}=1[/tex]We can see that the slopes of line AB and CD are the same, therefore both lines are parallel since parallel lines always have the same slope.
Let's determine the distance of line AB using the distance formula;
[tex]\begin{gathered} \text{Distance of AB }=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ =\sqrt[]{(3-1)^2+(4-2)^2} \\ =\sqrt[]{4+4^{}^{}} \\ =\sqrt[]{8} \\ =2\sqrt[]{2} \end{gathered}[/tex]Let's determine the distance of line CD using the distance formula;
[tex]\begin{gathered} \text{Distance of CD = }=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ =\sqrt[]{(1-3)^2+(-3+1)^2_{}} \\ =\sqrt[]{4^{}+4} \\ =\sqrt[]{8} \\ =2\sqrt[]{2} \end{gathered}[/tex]We can see that the length of lines AB and CD are the same.
We can see from the above that one pair of opposite sides of the quadrilateral, AB and CD, are parallel and congruent, therefore we can say that figure ABCD is a parallelogram.
the value of a painting has incresed steadily over time. sketch a qualitative graph to represent this situation.
Answers
The value of a painting has increased steadily over time.
This means that as time increases, the value of the painting is also increasing.
A simple linear graph can be used to represent this situation.
As you can see from the graph, as time increases, the value also increases.
Notice that the graph does not start from the zero value that is because we assume that it must have some starting value.
3. Consider the studies described below and identity the population, sample, populationparameters, and sample statistics.Part A Ina USA Today internet poll, receders responded voluntadly to the question "Doyou consume at least one caffeinated beverage every dollPartes. Astronomers typically deterrine the distance to geasy la galaxy is a hugecollection of billions of stars) by measuring the distances to just a few stars withini and idáng the mean (average of these distance measurements.
Answers
For Part A,
Population is USA.
Sample are the readers.
Sample statistics is unknown.
Population parameters is unknown.
For Part B,
Population is Astronomers.
Sample is Galaxy.
Sample statistics is measuring distance within few stars.
Population parameter is mean of distance.
Consider the following.10^(1 − x )= 6^x(a) Find the exact solution of the exponential equation in terms of logarithms.x = (b) Use a calculator to find an approximation to the solution rounded to six decimal places.x =
Answers
We have to find the exact solution to the equation.
We can solve it as:
[tex]\begin{gathered} 10^{1-x}=6^x \\ (1-x)\cdot\ln10=x\cdot\ln(6) \\ \ln10-\ln10\cdot x=\ln6\cdot x \\ \ln10=(\ln6-\ln10)x \\ x=\frac{\ln10}{\ln6-\ln10} \end{gathered}[/tex]b) If we use a calculator to find the logarithms we obtain the approximate value of x as:
[tex]\begin{gathered} \ln10\approx2.3025851 \\ \ln6\approx1.7917595 \\ \Rightarrow x\approx\frac{2.3025851}{1.7917595-2.3025851}=\frac{2.3025851}{-0.5108256}\approx-4.507576 \end{gathered}[/tex]Answer:
a) x = ln(10)/(ln(6)-ln(10))
b) x = -4.507576
The functions f(x) and g(x) are described using the following equation and table:f(x) = −3(1.02)^xxg(x)−1−50−31−121Which statement best compares the y-intercepts of f(x) and g(x)? The y-intercept of f(x) is equal to the y-intercept of g(x). The y-intercept of f(x) is equal to 2 times the y-intercept of g(x). The y-intercept of g(x) is equal to 2 times the y-intercept of f(x). The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
Answers
ANSWER:
1st option: The y-intercept of f(x) is equal to the y-intercept of g(x).
STEP-BY-STEP EXPLANATION:
The y-intercept can be determined when x = 0, therefore:
For f(x):
[tex]\begin{gathered} f\mleft(0\mright)=-3\mleft(1.02\mright)^0 \\ f(0)=-3\cdot1 \\ f(0)=-3 \\ \text{the y-intercept is (0, -3)} \end{gathered}[/tex]In the function g(x), we can see that when x = 3, g(x) = -3, which means that the y-intercept is (0,-3)
Which means that the intercept is the same for both functions.
The correct answer then would be:
The y-intercept of f(x) is equal to the y-intercept of g(x).
evaluate the function over the domain {-1, 0, 1, 2}. as the values of the domain increase, do the values of the function increase or decrease? y=2*3^-1
Answers
To evaluate a function with a specific value in the domain you susbtitute in the equation of the function the independient variable (x) for the value in domain.
[tex]y=2\cdot3^x[/tex]For x = -1 (a number n powered to a negative number (m) n^-m is equal to 1/n^m
[tex]y=2\cdot3^{-1}=2\cdot\frac{1}{3}=\frac{2}{3}\approx0.66[/tex]For x=0 (any number powered to 0 is equal to 1)
[tex]y=2\cdot3^0=2\cdot1=2[/tex]For x = 1
[tex]y=2\cdot3^1=2\cdot3=6[/tex]For x = 2
[tex]y=2\cdot3^2=2\cdot9=18[/tex]Then, as you can see as the values of the domain increase, the values of the function increaseAn IQ test consists of 20 multiple choice questions. 3 points are awarded for a correct answer and 1 point is deducted for a wrong answer. No points are awarded and deducted for unanswered question. Raju attempted a total of 19 questions and his total
score for the IQ test was above 32. Find the minimum number of correct answers he obtained
Answers
If no points are awarded and deducted for unanswered question. Raju attempted a total of 19 questions and his total score for the IQ test was above 32. The minimum number of correct answers he obtained is 13.
How to determine the correct answers obtained?Given data:
Total number of question = 19
IQ total score = 32
Hence,
Let x represent the minimum number of answers that are correct
Let 3x represent the marks obtained
Let 19 -x represent the wrong answers
Let find the mark obtained
Marks obtained = 3x - ( 19 - x )
Marks obtained = 4x - 19
Now let determine the minimum of correct answers that was obtained
4x - 19 > 32
4x > 32+ 19
4x > 51
x > 51/4
x > 12.75
x > 13
Therefore we can conclude that 13 is the correct answer that was obtained.
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Question 2 The first five terms of a sequence are shown below. 7,4, 1, -2, -5,... Betsy wants to write a function to represent the sequence in order to find the 75th term of the sequence. Fill in the blanks below with appropriate integer values to complete the function representing the sequence and represent the 75th term of the sequence
Answers
In this case we are dealing with an arithmetic sequence, we can represent this kind of sequences with the formula:
f(n) = f0 + d*n
Where f0 is the first term of the sequence and d is the difference between one term and the term that is previous to it.
In this case, f0 equals 7, since this is the value of the first term.
We can find d by taking two terms, let's take for example 1 and 4, by subtracting 4 from 1 we get:
d = 1 - 4 = -3
Then d equals -3 and the formula of the sequence is:
f(n) = 7 + (-3)n
f(n) = 7 - 3n
We can calculate the 75th term by replacing 75 for n, then we get:
f(75) = 7 - 3 * 75 = -218
Then f(75) equals -218
Options for the first box is: cube root, square root Options for the second box are: (0,8), (-2,0), (8,0), (0,-2)
Answers
The graph drawn is the graph of a square root function. A similar example is drawn below for the function:
[tex]y=\sqrt[]{x}-3[/tex]We can thus deduce that the graph is a square root function
From the graph, the x-intercept is given by the point where the graph crosses the x-axis (at the point, y equals zero). The graph crosses the x-axis at x equals 8. It is given as shown below:
[tex](x,y)=(8,0)[/tex]Complete SquareEquation in (x+a)^2=b3x^2-18x= 357
Answers
the coefficiont of x2 must be 1, so divide the equation by 3
[tex]x^2-6x=119[/tex]take half the coefficient of x and squared
[tex]\begin{gathered} \frac{-6}{2}=-3 \\ \\ (-3)^2=9 \end{gathered}[/tex]then, add to both sides
[tex]x^2-6x+9=119+9[/tex]Now we can rewrite the left side of the equation as a square term.
[tex]\begin{gathered} (x-3)^2=128 \\ \end{gathered}[/tex]What are the slope and x- and y-intercepts of the equation below?3x - 5y = 18
Answers
3x - 5y = 18
To find the slope and the intercept, we need to first re-arrange the equation to be in the form y=mx + b
That is;
-5y = -3x + 18
Divide through the equation by -5
y = (3/5) x - 18/5
Comparing with y =mx + b
where m is the slope and b is the intercept
slope = m = 3/5
Intercept = b = -18/5
equally divided between 4 dump7 one dump truck?— ТI Division Algorithm:45Check:=+=+19 Zearnand licensed by Great Minds 2019 Great Minds. All rights reserved.ew York State Education Department and also released as EngageNY.1
Answers
Step 1
Division algorithm:
Step 2
Check:
[tex]\begin{gathered} 4\text{ }\times1.25 \\ =1.25+1.25+1.25+1.25 \\ =2.5+2.5 \\ =5 \end{gathered}[/tex]46×28=23×56 true or false
Answers
The multiplication 46×28=23×56 is true.
What is defined as the multiplication of number?While we multiply 2 numbers, the result is known as the product. The multiplicand is the amount of items in each group, and the multiplier is the number of these equal groups. The signs cross (), asterisk (*), and dot () represent multiplication. You are most probable to use the cross when writing in your notebooks. In programming languages and algebra, the asterisk as well as dot are used.For the given question;
The number is given as;
46×28=23×56
Now,
LHS; 46×28 = 1288
RHS; 23×56 = 1288
As, LHS = RHS, the number are equal.
Thus, the multiplication of the numbers are found to be true.
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Graham borrowed $10 from his wonderful momto buy a Mike the Knight action figure. If he useshis $2 per week allowance to pay his momback, how long will it take for him to pay her
Answers
In the question, we are told that Graham borrowed $10 from his mum to buy a toy. He pays back his mum $2 per week from his allowance. We can find how long will it take for him to pay her below.
Explanation
Since Graham is paying back every week, this means that the payback time would be measured in weeks.
We can use the formula below;
[tex]\text{Pay back time(w}eeks\text{)=}\frac{\text{Total amount borrowed}}{\text{payment per w}eek}[/tex]Thus;
[tex]\text{Pay back time(w}eeks\text{)}=\frac{10}{2}=5weeks[/tex]Answer: 5 weeks