This shows that as x approaches -7 and 7, the value of y approaches infinity. As x approaches -7 from the left, y approaches ∞.
Vertical asymptotes of a functionThe vertical asymptotes of a function is the point where the denominator of the rational function approaches zero.
Given the rational function shown:
[tex]\dfrac{-2x^2+14}{x^2-49}[/tex]
The vertical asymptotes occurs when x^2 - 49 = 0
Add 49 to both sides
x^2-49 + 49 = 49
x^2= 49
x = ±7
This shows that as x approaches -7 and 7, the value of y approaches infinity
Learn more on vertical asymptotes here: https://brainly.com/question/4138300
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The value of a truck is $24,000 when it is brand new. The value depreciates $900 per year. when will the value of the car be less than $17,000? write an inequality to represent the situation, do not solve the inequality, defined the variable.
Answer:
after 8 years
24,000 - 900x < 17,000
the variable is x, the number of years
Step-by-step explanation:
One way is to just subtract 900 from 24000 until it gets to 17000.
1. 23,100
2. 22,200
3. 21,300
4. 20,400
5. 19,500
6. 18,600
7. 17,700
8. 16,800
Another way is to write an inequality.
I know you don't have to solve it, but I'm going to write it anyway.
24,000 - 900x < 17,000
24,000 is the total, or what you start with
900 is what goes down every year
x is the number of years
all of that has to be less than 17,000
To put this into words, it would be: if 24,000 minus $900 times the number of years is less than 17000, what is x?
To find the answer, first find the difference between 24000 and 17000
subtract 2400 from each so so you are left with:
-900x < -7,000
Then to find x, the number of years, divide both sides by -900:
x < 7.777...
since that is the exact answer, and we don't really need that, we can round it up to 8.
x < 8
To learn to do this might be troublesome, but its way faster in the end. I'm not the best at explaining math, but hope this helps :)
plz help as soon as you can
A: -16 < -4
B: 40 > 8
C: -45 < 15
D: 35 > -20
E: Reverse
Based on the graph, which inequality is correct for a number that is to the left of -4?
HHHHHH
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
+
(4 points)
o -7>-4
0-6<-4
-8 > -4
ОО
-4 <-g
NEED HELP ASAP
Answer:
Sorry I'm a little late but the answer is
2 > -4
A bookcase measures 13 feet wide and 24 feet tall. What would the bookcase's measurements be on a scale drawing using the scale 3 cm:2 ft?
Answer:
Step-by-step explanation:
Find out what 1 Foot per centimeter is (1.5 centimeters per foot)Multiply 13 by 1.5 to find one side and 24 by 1.5 to find the other side.
The curved part of this figures is a semicircle.
What is the best approximation for the area of this figure?
14+16.25π units²
28+16.25π units²
14+8.125π units²
28+8.125π units²
Coordinate plane with axes labeled x and y. A closed figure is formed by two segments and a semicircle. A segment extends from negative 4 comma negative 2 to negative 4 comma 2. Another segment extends from negative 4 comma 2 to 3 comma 2. A semicircle extends from 3 comma 2 to negative 4 comma negative 2.
The area of a shape is the amount of space on the shape.
The best approximation for the area of the figure is [tex]14 + 16.25\pi[/tex]
How to determine the area of the figureStart by calculating the diameter of the semicircle using the following distance formula:
[tex]d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}[/tex]
So, we have:
[tex]d = \sqrt{(-4 -3)^2 +(-2 -2)^2}[/tex]
[tex]d = \sqrt{65}[/tex]
Divide by 2, to calculate the radius
[tex]r = \frac{\sqrt{65}}{2}[/tex]
So, the area of the semicircle is:
[tex]A = \frac{\pi r^2}{2}[/tex]
This gives
[tex]A = \pi (\frac{\sqrt{65}}{2})^2[/tex]
[tex]A = \frac{65}{4}\pi[/tex]
[tex]A = 16.25\pi[/tex]
Next, we calculate the area of the triangle using:
[tex]A = 0.5 * B * H[/tex]
Where:
[tex]B = 3 -(-4)[/tex]
[tex]B = 7[/tex]
[tex]H= 2 - (-2)[/tex]
[tex]H = 4[/tex]
So, we have:
[tex]A = 0.5 * 7 * 4[/tex]
[tex]A = 14[/tex]
The area of the figure is then calculated as:
[tex]A = 14 + 16.25\pi[/tex]
Hence, the best approximation for the area of the figure is [tex]14 + 16.25\pi[/tex]
Read more about areas at:
https://brainly.com/question/10090807
Find the divergence of each of the following vector fields at all points where they are defined. (a) div(x(x2 y2 z2)1.5i y(x2 y2 z2)1.5j z(x2 y2 z2)1.5k)
Answer: the divergence of the vector fields at all points its defined is 0
Step-by-step explanation:
Given that;
div ( [x / (x²+ y² + z²)^1.5]i + [y / (x² + y² + z²)^1.5]j + [z / (x² + y² + z²)^1.5]k )
= d/dx [x / (x²+ y² + z²)^1.5] + d/dx [y / (x² + y² + z²)^1.5] + d/dx [z / (x² + y² + z²)^1.5]
= [1 / (x²+ y² + z²)^1.5] - [3x² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3y² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3z² / (x²+ y² + z²)^2.5]
= [3 / (x²+ y² + z²)^1.5] - [(3x² + 3y² +3z²) / (x²+ y² + z²)^2.5]
= [2 / (x²+ y² + z²)^1.5] - [3 / (x²+ y² + z²)^1.5] = 0
therefore the divergence of the vector fields at all points its defined is 0
: If (26)x = 1, what is the value of x? Explain your answer.
Answer:
All you have to do is divide 1 by 26 and that should be the value of x.
Step-by-step explanation:
Can I just say that is a very strange math equation XD
WILL GIVE 30 PIONTS AND A BRAINLY PLZ I NEED HELP
Answer:
1. 16 2. 8
Step-by-step explanation:
Answer:
The first one is 16 the other one is 8
Step-by-step explanation:
In partictual, you will never arrive at the truth.
Find x.
P
40
600
L
R
1345753 yessssssssssss
How do I divide a fraction?
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed
Answer:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
Step-by-step explanation:
Do you think that students should be proficient in addition before learning multiplication? answer in 175 words! thank you so much :)
Answer:
Yes, Because if you can't add then you do not know how many times to add the number. For example, 5 x 5= 25
If you don't know what 5+5 equals then how are you supposed to figure out 5+5+5+5+5. That is just common knowledge that you should have learned in your early school years. You need to know how to subtract to divide so it is basically the same concept. I do not know anyone that does not know how to multiply but not add. To me, that does not even seem possible. I know that you have to be really good at adding to multiply too. Cause if you only know how to add up to 100 what happens when you get in high school and college and need to multiply in school over 100? Or thinking higher than that you need to know so that you can do taxes, pay bills, etc... So my answer to this question is yes, you should be proficient in addition to learn multiplication.
An arts academy requires there to be 6 teachers for every 96 students and 5 tutors for every 40 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 80 students?
Answer:18 students for each teacher and 10 for each tutor, and if the academy had 80 students it would have 8 tutors
Spooky Story with figurative language, it needs to have what figurative language you used and the words, and the pov and the end
Answer:
THIS IS NOT MATHEMATICS!!!!!
Step-by-step explanation:
y=2x -1 ( subtract 1 not negetive) find the slope and thr y intercept
Answer:
Y intercept: The y intercept is -1, and the slope is 2/1, or 2.
Step-by-step explanation:
In the equation y=mx + b, m is the slope. B is the y intercept. So, by taking y = mx + b, you get y = 2x - 1. So, 2x is the slope, or [tex]\frac{2}{1}[/tex], and -1 is the y intercept.
Which of the following statements is not a translation of the equation 4 + x = 9?
Answer:yes it is! It’s correct
4. 44 + s + 65 = 180
Answer:s=71
Step-by-step explanation:44+65=109 109-180=71
College students are a major target for advertisements for credit cards. At a university, 65% of students surveyed said they had opened a new credit card account within the past year. If that percentage is accurate and you survey 100,000 college students in California, how many students would you expect to not have opened a new credit card account
Answer:
35,000 students did not open a new credit card account
Step-by-step explanation:
If 65% of students surveyed said they opened a new credit card account, the percentage of students that did not open a new credit card account is calculated as follows:
Total percentage = 100%
100% = 65% + (% of students that did not open a new account)
100 - 65 = % of students that did not open a new account
∴ % of students that did not open a new account = 100 - 65 = 35%
Next, let us convert this percentage to actual number
Total number of Students surveyed = 100,000
% of students that did not open a new account = 35%
35% of 100,000
= 35/100 × 100,000
= 0.35 × 100,000 = 35,000
How large a sample must we take if we want the margin of error to be at most 0.01 pound with 95% confidence
Answer:
The sample size is [tex]n = 153664[/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.01
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Let take the standard deviation to be [tex]\sigma = 2 \ pounds[/tex]
Gnerally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2[/tex]
=> [tex]n = [\frac{1.96 *2 }{0.01} ]^2[/tex]
=> [tex]n = 153664[/tex]
What is the domain of the function
f(x) = √ 1/3x + 2?
100 points to correct answer
Steve made 50$ raking leaves 75$ mowing lawns. He gave 60% of his earnings to his mother. How much did Steve give to his mother?
Two less than 5 times a number is the same as the number plus 10. what's the number (x)?
Answer:
Th answer is 2
Step-by-step explanation:
Subtract 5 from 10 then multiply 5 and 2
Glad i could help
Answer:
3
Step-by-step explanation:
5x-2=x+10
4x=12
x=3
(5*3)-2=15-2=13
3+10=13
13=13
Helppppppppppppppppp
Answer:
16
Step-by-step explanation:
since the triangle is the same on both sides, if one side is 16 then the other side is the same.
HELP PLEASE!!!!!
Which statement describes the system of equations?
x+2y=2
x-2y=-2
It has infinitely many solutions.
It has no solution.
It has one solution (0, 1).
It has one solution (4, –1).
An automobile manufacturer has four different subcompact cars on the line. Customers selecting one of these cars have a choice of three engine sizes, three body styles, and seven color schemes. How many different selections can a customer make
Answer:
The customer can make 42 different selections
Step-by-step explanation:
Here, we want to know the different selections a customer can make
A customer can request 1 engine size, 1 body style and 1 colour scheme from the available set for his car
Out of 3 engine sizes , he will select 1; that will be 3 C 1
Out of 3 body styles, he will select 1, that will be 3 C 1
Out of 7 color schemes, he will select one and that is 7 C 1
So the number of different selections will be;
3 C 1 * 3 C 1 * 7 C 1
= 3 * 3 * 7 = 42 different selections
A fair coin is tossed three times. Let X be the number of heads in thetosses minus the number of tails. Find the probability distribution of X.
Answer:
P(3) = 1/8
P(1) = 3/8
P(-1) = 3/8
P(-3) = 1/8
Step-by-step explanation:
Given that :
Coin is tossed 3 times :
Kindly check attached picture for detailed explanation
The amount dispensed by a soft-drink dispensing machine has a normal distribution with mean μ and standard deviation 0.155 ounce. The mean amount dispensed, μ , can be controlled. At what value should μ be set so that a 16 ounce cup will overflow with probability 0.01? Round your answer to two decimal places.
Answer: [tex]\mu=15.64[/tex]
Step-by-step explanation:
Let x be a random variable that represent the amount dispensed by a soft-drink dispensing machine which has a normal distribution with mean μ and standard deviation [tex]\sigma=[/tex] 0.155 ounce.
To find : μ such that P(X>16)=0.01
Consider P(X>16)=0.01
[tex]P(\dfrac{X-\mu}{\sigma}>\dfrac{16-\mu}{0.155})=0.01[/tex]
Since, [tex]Z=\dfrac{X-\mu}{\sigma}[/tex]
Also, z-table , one -tailed z-value for p-value of 0.01= 2.326
Then, [tex]\dfrac{16-\mu}{0.155}=2.326[/tex]
[tex]\Rightarrow {16-\mu}=0.155\times2.326\\\\\Rightarrow {16-\mu}=0.36053\\\\\Rightarrow\ \mu=16-0.36053=15.63947\approx15.64\\\\\Rightarrow\ \mu=15.64[/tex]
Can someone help me solve this ?
Answer:
$182
Step-by-step explanation:
Let x be the number of students going
Let y be the total cost
Then,
7x=y
7(26)=y
$182=y
Therefore, the total cost would be $182 for 26 students to go.
Hope this gives you an A
Answer:
expression: 7 × (S which is 26)
Total cost: 182
Step-by-step explanation:
How many degrees is 15/16pi radians?
Answer:
192 °
Step-by-step explanation:
Hope this helped! <3
Answer:
168.75°
Step-by-step explanation:
I think
Ed's goal is to jog no more than 8 miles this week. He jogged 4 3/4 miles on Monday and 3 3/8 miles on Wednesday.
Answer:
8.125
Step-by-step explanation:
He jogged over 8 miles so he needs to stop jogging he already completed his goal.
In 2016, humans produced 29 billion tonnes of carbon dioxide. This is set to grow by around 40% by the year 2035. How many tonnes of carbon dioxide will be produced by humans in 2035? Give your answer in standard form.
Answer:is it 40.6 billion tonnes of carbon dioxide
Step-by-step explanation:
