Simplifying h(x) gives
h(x) = (x² - 3x - 4) / (x + 2)
h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)
h(x) = ((x + 2)² - 7x - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)
h(x) = (x + 2) - 7 - 22/(x + 2)
h(x) = x - 5 - 22/(x + 2)
An oblique asymptote of h(x) is a linear function p(x) = ax + b such that
[tex]\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0[/tex]
In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.
Make x the subject
5px+q^2=3c
Answer:
x=[tex]\frac{3c-q^2}{5p}[/tex]
Step-by-step explanation:
5px+q^2=3c
subtract q^2 from both sides
5px=(3c)-q^2
divide by 5p from both sides
x=[tex]\frac{3c-q^2}{5p}[/tex]
The graph of the function, fx) = -2x + 6x-3, opens blank
and has a blank
value.
The graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.
The function is given as:
[tex]f(x) = -2x^2 +6x - 3[/tex]
See attachment for the graph of function f(x).
From the attachment, we can see that the graph opens down, and it crosses the x-axis at two distinct points.
Hence, the graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.
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A school with 60 teachers is on alert during a nighttime storm. To inform teachers whether the school will open the next day, the principal will call four teachers, each of whom will call two others, and each of these will call two others, and so on until all 60 teachers have been contacted. How many teachers will have to make two calls?
A) 32
B) 29
C) 16
D) 24
E) 28
Answer:
The answer is 16
Step-by-step explanation:
call four teachers, each of whom will call two others, and each of these will call two others
Answer:
E) 28
Step-by-step explanation:
The 4 teachers the principal calls will each make 2 calls.
The 8 teachers they call will each make 2 calls.
The 16 teachers they call will each make 2 calls. At this point, all 60 teachers have been notified, and the last 32 recipients of calls don't need to call anyone.
4 +8 +16 = 28 teachers make 2 calls.
A gold chain with an original price of $150 is on sale for $87 what is the percent of the discount
Answer:
i believe its 58%
Step-by-step explanation:
if you take 3/4 of 1 3/5 how much do you have
Answer:
1 1/5
Step-by-step explanation:
1.6*3/4
4.8/4
1.2
1 1/5
Therefore, the answer is 17/20.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you
Answer:
option 4
Step-by-step explanation:
(y intercept and negative slope)
4/9 + 9/18. Please help me as soon as possible, it's due today.
Answer:
[tex]\frac{17}{18}[/tex]
Step-by-step explanation:
To solve 4/9 + 9/18 just find the common denominator which is 18.
to get 4/9 to get the denominator of 18 you multiply the denominator by 2:
9 x 2 = 18, what you do to the bottom you do to the top (Multiply the numerator by 2 also) so, 4 x 2 = 8.
Now, add the numerator and keep the denominator the same. 8 + 9 = 17.
8/18 + 9/18 = 17/18
Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase?
Answer:
$132.74
Step-by-step explanation:
6.75% = 0.0675
Multiply 124.35 by 1.0675 because sales tax is added to original cost.
(124.35)(1.0675) = 132.74
The total cost of Anya's purchase of home improvement hardware is 132.74 dollars.
What is percentage?The percentage is the value per hundredth.
According to the given question, the sales tax is 6.75% which is not included in the home improvement hardware which cost Anya 124.35 dollars.
∴ The total cost of Anya's purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,
= (106.75/100)×124.35 dollars.
= 1.0675×124.35 dollars.
= 132.74 dollars.
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Sonal and Gaurav have 2 numbers written on a piece of paper. Sonal's number PQR is divisible by
3 and 4. Gaurav's number STU is divisible by 2 and 9.
The two numbers are joined to form a new 6-digit number PQRSTU as shown.
The number PQRSTU IS DEFINITELY divisible by
A 4 B 6 с 8 D 9
PQRSTU is definitely divisible by 4.
Since Sonal and Gaurav have 2 numbers written on a piece of paper, and Sonal's number PQR is divisible by 3 and 4, while Gaurav's number STU is divisible by 2 and 9, and the two numbers are joined to form a new 6- digit number PQRSTU, to determine the number by which the number PQRSTU is definitely divisible by, the following logical reasoning must be performed:
Since the numbers are not added mathematically, but joined numerically, and that STU is the last number in the row, and that it is divisible by 3 and 4, while only 4 is among the options, the number PQRSTU is definitely divisible by 4.
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I got this homework packet , I did some of the questions but graphs are what I’m stuck on the most .
Answer:
For the first picture, I think it is C and the second one should be A.
Step-by-step explanation:
You use vertical lines and if it hits it multiple times it is not a function. Like if it hits two dots or something it is not a function. I hope that make sense, let me know if it doesn't.
Show and explain how you found the answer to this problem. Marion read 616 pages in 14 days. If she read the same number of pages each day, how many pages did she read each day?
Based on the number of pages read and the time it was read in, the number of pages read per day was 44 pages.
Marion read 616 pages and did this in 14 days.
She read the same number of pages each day so the number of pages read per day was:
= Number of pages read in total / Number of days
= 616 / 14
= 44 pages
In conclusion, she read 44 pages per day.
Find out more about divisional problems at https://brainly.com/question/13417862.
HELPPP PLZZ AND THANK YOU <3
Answer:
Step-by-step explanation:
Stacey is selling popcorn at a rate of $2 per bag. She is only charging a one time thing for $0.50 for tax. What is the equation of this description?
Write the gcf of:
200x^2y^5 and 1000x^3y^2
Answer:
Step-by-step explanation:
200 divides into 1000 so that is part of the HCF.
x^2 and x^3 are present so the HCF contains x^2
y^2 and y^5 are present so the HCF contains y^2
HCF = 200*x^2 * y^2
From 7x^2+5xy-3y^2 subtract the sum of 2x^2+3xy-5y^2 and x^2-7xy-4y^2
Answer:
4x^2 +9xy +6y^2
Step-by-step explanation:
Combine like terms. I find it useful to factor out the variable part of the expression so I can see what coefficients are being combined.
7x^2+5xy-3y^2 - (2x^2+3xy-5y^2 + x^2-7xy-4y^2)
= (7 -2 -1)x^2 +(5 -3+7)xy +(-3 +5 +4)y^2
= 4x^2 +9xy +6y^2
Sara bought a pair of jeans for $75. If the jeans were on sale for $25 off, calculate the discount.
Answer:
33.3333% decrease
Step-by-step explanation:
Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100
75 - 25 = 50
the price went from $75 to $50.
75 - 50 = 25
25 ÷ 75 = 0.3333333333333
0.3333333333333 x 100
= 33.3333%
Answer:
the discount was 33.3% off
Step-by-step explanation:
((New - Old) / |Old|) x 100
((50 - 75) / |75|) × 100
(-25 / 75) = -0.333
-0.333 x 100 = 33.3%
⦁ The weekly sales of ABM students on their "Go Negosyo" project are normally distributed with mean of P3,200 and standard deviation of P500. What percent of their weekly sales are over P4,000? A. 94.52% (B). 77.34% C. 5.48% D. 22.57%
Using the normal distribution, it is found that the percentage of their weekly sales over P4,000 is given by:
C. 5.48%
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, of [tex]\mu = 3200, \sigma = 500[/tex].
The proportion of their weekly sales over P4,000 is 1 subtracted by the p-value of Z when X = 4000, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4000 - 3200}{500}[/tex]
[tex]Z = 1.6[/tex]
[tex]Z = 1.6[/tex] has a p-value of 0.9452.
1 - 0.9452 = 0.0548 = 5.48%.
Hence option C is correct.
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The area of a rectangle is 21 cm². If one side exceeds the other by 4 cm, find the dimensions of the rectangle.
Answer:
3cm and 7cm
Step-by-step explanation:
The length is 7cm.
The width is 3cm.
Area = Length × Width = 7cm × 3cm = 21cm²
Where is 0.5 on the graph? I have to do ( 0.5, 4)
Answer:
It would be between the 0 and the 1 on the horizontal line
0.5 is where the blue dot is, then for 0.5 , 4 just go up 4 from there
1,7,19,37,61,91,127,169…
Answer:
Sequence sum? but it has no right sequence
How i can answer this question
Answer:
3(2q+1)
Step-by-step explanation:
6q+2
3(2q+1)
is the pair of complementary angles are in the ratio4:11 find them
Answer:
Step-by-step explanation:
1. An expressions equated to another expression is called _______.
2. If a = 5, the value of 2a + 5 is _______.
3. The sum of twice and four times of the variable x is ______.
need help ~
thx for answering~
Answer:
1:Cubic
2:5a and the value in the 2a is a exp.
3:Quintic
Step-by-step explanation:
Im sure this answer is correct
An expressions equated to another expression is called an equation
An equation is an expression that is used to show the relationship between two or more variables and numbers.
Given that a = 5, hence:
2a + 5
substituting values:
2(5) + 5 = 10 + 5 = 15
2a + 5 = 15
The sum of twice and four times of the variable x is 2x + 4x = 6x
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guys please (number 3)
Answer:
500 < c < 1,700
Step-by-step explanation:
HELLPPPP MEEEEE ASAPPPPPPP PLEASEEEEEEEEEEEEWEEEEEEEE
Answer:SORRY CANT HELP U THERE
Step-by-step explanation:
Julie counts the cars passing her house, and
finds that 2 of every 5 cars are foreign. If she
counts for an hour, and 60 cars pass, how
many
of them are likely to be domestic?
a. 12 cars
b. 24 cars
C.30 cars
d. 36 cars
l= prt is an example of.
Answer:
intrest=principle*rate* time
Step-by-step explanation:
Base formula, written as I = Prt or I = P × r × t where rate r and time t should be in the same time units such as months or years. Time conversions that are based on day count of 365 days/year have 30.4167 days/month and 91.2501 days/quarter.
Anna is making soft toys she can sell at the fair. She can make 3 soft toys
in 5 hours. How many soft toys can she make in 20 hours?
OA) 10
OB) 12
OC) 16
OD 20
Answer:B
Step-by-step explanation:
20/5 = 4
4 x 3 =12
Answer:
C
Step-by-step explanation:
#4 (Show your work)
Pablo worked 3 jobs last summer. Pablo made $767.56 kifeguarding. $598.99 mowing lawns, and $643.33 house-sitting. How much money did Pablo earn doring summer?
Answer:
$2009.88
Step-by-step explanation:
767.56+598.99+643.33 = $2009.88
calculate the volume of a cone with r=6.2 and h=10.9 and Pi=3.14
Answer: The volume(v) is 438.77.
Explanation: The formula for a right circular cone is in the image.