Step-by-step explanation:
to create a vertical asymptote (a tangent of the curve in infinity) at x = n we define e.g.
f(x) = 1/(x - n)
the cost x gets to n, the much closer the function gets to 1/0 and infinity.
so, the part to get us the asymptote at x = -4 is
1/(x + 4)
the part to get us the asymptote at x = 2 is
1/(x - 2)
and the part that gives us a zero solution at x = 3 is
(x - 3)
because that is what the point (3, 0) is : when x = 3. then y = 0.
now we only need to multiply all 3 parts to combine them :
f(x) = 1/(x + 4) × 1/(x - 2) × (x - 3)
Express 2x=3y-7 in the form of ax+by+c=0 write the values
The final answer of the given quadratic equation is 2x - 3y + 7= 0.
What is the quadratic equation?
Any equation in algebra that can be written in standard form as where x is an unknown and a, b, and c denote known numbers, where a 0 is a quadratic equation.
We have,
2x = 3y - 7
Converting the given equation in the form of ax + by + c = 0, we get
2x - 3y + 7= 0
Hence, the final answer of the quadratic equation is 2x - 3y + 7= 0.
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Which one of the following is NOT equivalent to 3/4? 16/24 15/20 6/8 24/32 PWEASE HURRY THESE ARE ALL MY POINTS
Which one of the following is NOT equivalent to 3/4?
16/24 = 2/3
15/20 = 3/4
6/8 = 2/3
24/32 = 3/4
Answer: 16/24 and 24/32 are not equivalent to 3/4
Step-by-step explanation:
Equivalent fractions represent the same value, even though they look different.
Here, when we convert every fraction to its simplest form, we can verify if they are equal.
(16/24) ÷ (8/8) = 2/3
(15/20) ÷ (5/5) = 3/4
(6/8) ÷ (2/2) = 3/4
(24/32) ÷ (4/4) = 6/7
As the simplest forms of 16/24 and 24/32 are not 3/4, they are not equivalent fractions of 3/4.
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Choose the correct word(s) to complete the snetence below. A group of related facts that use the same numbers is called a(n)
Answer: The answer is Fact Family
Step-by-step explanation:
re-write the statement 19 + 7 divided by 2 - 5
by including one pair of brackets to make the total value equal to 8
Re-write the statement 19 + 7 divided by 2 x 6 + 1 by including two pairs of brackets to make the total value equal to 2
Answer:
[19+7] / [2 x 6 + 1]
Step-by-step explanation:
[19+7] / [2 x 6 + 1]
[26] / [13]
[2]
Mark and Janet together have 10 pairs of jeans.
Janet has 6 more pairs of jeans than John.
How many pairs of jeans does John have?
Answer:
John has 4 pair of jeans.
Hope this helps : )
Step-by-step explanation:
Together they 10, so if Janet has 6 more, we have to subtract.
10 - 6 = 4
Check:
6 + 4 = 10 ✔
I WILL MARK BRANLIEST FOR CORRECT ANSWER! The two-way frequency table contains data about how students access courses.
Traditional Online Row totals
Computer 28 62 90
Mobile device 46 64 110
Column totals 74 126 200
What is the joint relative frequency of students who use a mobile device in a traditional class?
23%
37%
46%
72%
The joint relative frequency is 23%. So option (1) is correct.
Joint relative frequency is defined as the ratio of a frequency that is not in the total row or column to the total number of values or observations. The marginal frequency in a two-way frequency table is the entry in the "total" for the column and the "total" for the row.
Given data:
Traditional Online Row totals
Computer: 28 62 90
Mobile device: 46 64 110
Column totals: 74 126 200
The joint relative frequency can be found by the formula:
= (Number of students using a mobile device in traditional class / Total Number of students) x 100%
Number of students using mobile devices in traditional class = 46
Total number of students = 200
= (46 / 200) x 100%
= 0.23 x 100%
= 23 %
Therefore the joint relative frequency of students in traditional classes using a mobile device is 23%.
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ben has 172 to spend on a membership at the fitness club . what is the number of months ben can be a member of the fitness club ?
The number of months Ben can be a member of the fitness club is 7 months .
In the question ,
it is given that Ben wants to join a fitness club ,
initial membership fees for fitness club is = $49.50
monthly fees for fitness club = $17.50
let the number of months be [tex]=[/tex] x
the total fees that Ben paid = $172
So ,according to the question
the equation to represent the situation is
49.50 + 17.50x = 172
17.50x = 172 - 49.50
17.50x = 122.5
x = 122.5/17.50
x = 7
Therefore , Ben can be a member of fitness club for 7 months .
The given question is incomplete , the complete question is
Ben wants to join a fitness club. The fitness club charges an initial membership fee of $49.50 and a monthly fee of $17.50 , Ben has $172 to spend on a membership at the fitness club . what is the number of months ben can be a member of the fitness club ?
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Question #6 given f(x ) = x-4 g(x ) = 2x+2 c(x) = x+1 a. find the product of f(x) g(x) and simplify . b. use the result from part a and find the product of c(x ) and simplify c. describe the end behavior . question #6 given f(x ) = x-4 g(x ) = 2x+2 c(x) = x+1 a. find the product of f(x) g(x) and simplify . b. use the result from part a and find the product of c(x ) and simplify c. describe the end behavior . question #6 given f(x ) = x-4 g(x ) = 2x+2 c(x) = x+1 a. find the product of f(x) g(x) and simplify . b. use the result from part a and find the product of c(x ) and simplify c. describe the end behavior .
a) product of function f(x) and g(x) is 2x² - 6x - 8 and b) product of function that is in part a and an (x) is 2x³ - 4x² - 14x - 8.
Here are the three functions given:
f(x) = x -4
g(x) = 2x + 2
c(x) = x + 1
a) The product of function f(x) and g(x)
f(x). g(x) = (x -4). ( 2x + 2)
= x( 2x + 2) - 4(2x + 2)
= 2x² + 2x - 8x - 8
= 2x² - 6x -8
b) product of function f(x). g(x) and a(x)
f(x). g(x) . a(x) =( 2x² - 6x - 8 ). ( x + 1)
= x( 2x² - 6x - 8) + 1(2x² -6x - 8)
= 2x³ - 6x² -8x + 2x² - 6x -8
= 2x³ -4x² - 14x - 8
Therefore we get a) 2x² - 6x - 8 and b) 2x³ - 4x² - 14x -8.
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15. Write the factored form of 9+24 by pulling out the GCF?*
There are 2 common factors of 9 and 24, that are 1 and 3. Therefore, the greatest common factor of 9 and 24 is 3.
What is GCF ?In mathematics, the greatest common divisor of two or more nonzero integers is the largest positive integer that divides each integer
. The greatest common divisor (GCF) of a set of numbers is the greatest factor of division of all numbers.
CalculationGCF by listing factor method :-
Factors of 9: 1, 3, 9
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
There are 2 common factors of 9 and 24, that are 1 and 3. Therefore, the greatest common factor of 9 and 24 is 3.
other two methods are attached below .
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-5(x + 1) - 9 = 2
help me this is algebra and i dont not look like dream *half moon emoji*
Answer:
-3.2
Step-by-step explanation:
-5(x+1)-9=2
first simplify by distributiom
-5(x)-5(1)-9=2
simplify the multiplication
-5x-5-9=2
add the numbers
-5x-14=2
now to get x by itself on one side we undo in reverse order and move the -14 over to the other side so add 14 to both sides to cancel the -14
-5x=2+14
simplify
-5x=16
now divide both sides by -5 to get x by itself
-5x/-5=16/-5
simplify
x=-3.2 or as a fraction, [tex]-\frac{16}{5}[/tex]
in a hypothesis test, we choose a 5% level of significance. which p-value is statistically significant at this level?
The value of p that is statistically significant at a 5% level of significance refers to a p-value of 0.05 or less.
The fixed probability of incorrectly eliminating the null hypothesis when it is actually true is what is meant by the term "level of significance." The probability of type I error is defined as the degree of significance, which is decided by the researcher using the results of the error. The statistical significance is measured by the level of significance. It specifies whether or not the null hypothesis is thought to be true. The null hypothesis is anticipated to be shown as untrue or rejected if the result is statistically significant.
The symbol indicates the degree of significance (alpha). Therefore, the following definition applies to the level of significance:
Level of Significance = p (type I error) =
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help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equation of the parabola with the vertex (3,5) in the form of f(x)=a(x-h)^2+k is f(x)=7(x-3)^2+5.
In the given question we have to find the equation of parabola in the form of f(x)=a(x-h)^2+k
The given function is f(x)=7x^2.
The given vertex = (3,5)
The equation of the parabola with the vertex of (h,k) is
y=a(x-h)^2+k
On comparing we get; a=7, h=3, k=5
Now putting the value
f(x)=7(x-3)^2+5
Hence, the equation of the parabola with the vertex (3,5) in the form of f(x)=a(x-h)^2+k is f(x)=7(x-3)^2+5.
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what is 15.0782 rounded to
the nearest 10
Reason:
The digit in the tens place is 1. Just to the right is 5, which tells us to bump the 15 up to 20.
We can say that 15.0872 is closer to 20, than it is to 10.
Be sure not to mix up "tens place" with "tenths place".
The round-off from the number 15.0782 to the nearest 10 will be 20.
What is rounding off to the number?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.
Given that the number is 15.0782. The round-off to the nearest 10 will be 20 for the number.
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What is the converse of the following conditional statement?
"If this month is September, then next month ends in the letter r."
Determine the validity of the converse and give a counterexample if the converse is not valid.
The converse statement is:
"If next month ends in the letter r, then this month is September."
And a counterexample of this is the month of September.
What is the converse of the conditional statement?A conditional statement is of the form:
If P, then Q.
And a converse statement of the above one will be:
if Q, then P.
Here our conditional statement is:
"If this month is September, then next month ends in the letter r."
So we have:
P = this month is September.
Q = The next month ends in the letter r.
Replacing that in the converse statement formula we get:
"If next month ends in the letter r, then this month is September."
A counterexample is September, it ends with an r, and the month after it is not September.
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Answer:
If next month ends in the letter r, then this month is September. The converse is invalid; a counterexample is December.
Ms. Nettleton wants to create an outdoor space for her dogs. The distance between the furthest corners is 4 feet. The width of the area is 2 feet. How long is the length of the area?
(please help)
The length of the area is 8 feet.
What is the shape of outdoor space?
We know that Square has equal length, Rectangle has opposites sides of equal length.By the given length we found that it is Rectangular outdoor space.Step-by-step explanation:
Given :
Distance between the furthest corners(Length)= 4 feet
Width(breadth) = 2 feet
Area of rectangle = Length * Breadth
= 4 * 2
=8 feet
Hence, The length of the area is 8 feet.
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Wesley is baking three pumpkin pies. He will use a total of 5 1/4 quarts of pumpkin for the pies. If each pie contains the same amount of pumpkin, how many cups of pumpkin would each pie contain?
Answer:
Lol
Step-by-step explanation:
k
evaluate the expression 2x^3 - 14 when x=2
Answer:
-2
Step-by-step explanation:
2(2)*3-14
4*3-14
12-14
-2
A parallelogram has a base of 20 millimeters and a height that is 6 mm less than the base. Create an equation that
can be used to find the area, A, of the parallelogram in square millimeters.
Move the correct answer to each box. Not all answers will be used.
a mixture of 3% disinfectant solution is to be made from 5% and 2% disinfectant solutions. how much of each solution should be used if 21 gallons of 3% solution are needed?
To make 21 gallons of 3% disinfectant solution, 7 gallons of 5% solution are used, and 14 gallons of 2% solution are used.
21 gallons of the 3% solution is required.
Therefore, the amount of disinfectant in the solution
= 3/100 X 21 gallons
= 0.63 gallons
Let the amount of 5% disinfectant solution used be x
Therefore,
the amount of 2% disinfectant solution used is (21 - x)
Now, the amount of disinfectant added through these solutions must be equal to the amount of disinfectant in the solution.
Hence,
5/100 X x + 2/100 X (21 - x) = 0.63
or, 5x/100 + (42 - 2x) / 100 = 0.63
or, 0.05x + 0.42 - 0.02x = 0.63
or, 0.03x = 0.63 - 0.42
or, 0.03x = 0.21
or, x = 0.21 / 0.03
or, x = 7
Therefore 21 - x = 14
Hence 7 gallons of 5% solution is used and 14 gallons of 2% solution is used.
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a federal report indicated that 13% of children under age 6 live in poverty in massachusetts, an increase over previous years. how large a sample is needed to estimate the true proportion of children under age 6 living in poverty in massachusetts within 2% with 99% confidence? round the intermediate calculations to three decimal places and round up your final answer to the next whole number.
Using the concepts of statistics, we got that 2004 is the sample size needed to estimate the true proportion of children under age 6 living in poverty in Massachusetts within 2% with 99% confidence.
The number of observations used to calculate estimates for the certain population is known as the sample size. The sample size was actually determined by drawing from the population. Sampling is a practice of choosing a portion of a population from which to draw conclusions about the characteristics of a entire population. A subset of the population is chosen for analysis based on the number of entities in it.
We have Margin of error(E)=0.02,
Significance level([tex]\alpha[/tex])=0.01
Proportion(p)=0.13
Therefore, q is defined by =1-p
=> q =1-0.13
=>q=0.87
So, the Z-score is 2.582
Now, we know that sample size(S) is given by
=>S =[ [ [Z²×p×(1-p)] / e²] / [1+(Z²×p×(1-p)/e²)] ]
=>S=[ [ ( 2.582)²×0.13×0.87/(0.02)²] / [1 + [(2.582)²×0.13×0.87] / (0.02)²]
=>S= ([0.754/0.0004] / [1+(0.754/0.0004)])×1000
=>S=([885.01] / [1+1885.01]) × 1000
=>S=(0.200351)×1000
=>S=2003.51=2004 (approx)
Hence, a federal report indicated that 13% of children under age 6 live in poverty in Massachusetts, an increase over previous years in that case size of sample which is needed to estimate the true proportion of children under age 6 living in poverty in Massachusetts within 2% with 99% confidence is 2004.
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What transformation occurs from the graph y = x² to the graph of y = (x − 5)² + 7?
A a vertical shift up 5 units and a horizontal shift right 7.
B a vertical shift down 5 units and a horizontal shift right 7
C a vertical shift up 7 units and a horizontal shift left 5
D a vertical shift up 7 units and a horizontal shift right 5
The transformation that occurs from the graph (y = x²) to the graph of [y = (x − 5)² + 7] is (D) a vertical shift up 7 units and a horizontal shift right 5.
What do we mean by the graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.You must choose x-values and insert them into the equation in order to graph a function. You will obtain a y-value if you enter those values into the equation. Your coordinates for a single point are made up of your x-values and your y-values.So, the transformation from:
y = x² to y = (x - 5)First, plot both graphs.
(Refer to the graph attached below)
Now, notice that the graph of the function y = (x - 5)² + 7 has shifted vertically upwards by 7 units and horizontally right by 5 units.Therefore, the transformation that occurs from the graph (y = x²) to the graph of [y = (x − 5)² + 7] is (D) a vertical shift up 7 units and a horizontal shift right 5.
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Angel bought a plant and planted it in pot near a window in his house. The plant
grew at a rate of 3 inches per month and its height at the time of purchase was 15
inches. Write an equation for H, in terms of t, representing the height, in inches, of
the plant t months after Angel bought the plant.
The required equation for height H of the plant t months after Angel bought the plant is,
H = 15 + 3t
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
t = time in months
H = total height
H= initial height+ rate of growth * time
H = 15 + 3t
So, the required equation for height H of the plant t months after Angel bought the plant is,
H = 15 + 3t
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Complete the function table. Function: p = 1⁄2w + 5
A recipe calls for 6 ounces of raisins. How many milligrams of raisins is this? (1 ounce = 28.35 grams and 1 gram = 1,000 milligrams) 170.1 milligrams 1,701 milligrams 17,010 milligrams 170,100 milligrams
The measurement of a quantity requires units to be defined. The 6 ounce of raisins is equal to 171100 milligrams of it.
What is Measurement unit ?A measurement unit is unit to measure different quantities such as mass, length and time.
The measurement unit of one quantity can be converted into the other by multiplying it with a certain number.
Given that,
The amount of raisins is 6 ounces.
Since One ounce is equal to 23.85 grams,
6 ounce converted in grams equals 6 × 28.35 = 171. 10 grams
Now, 1 gram = 1000 milligrams.
Therefore, 171. 10 grams = 171.10 × 1000 milligrams
= 171100 milligrams.
Hence, 6 ounces of raisins is equivalent to 171100 milligrams.
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Answer:
A recipe calls for 170,100 milligrams of raisins.
Step-by-step explanation:
I took the exam and got it right
The solid rectangular prism shown below was built by alternating congruent black cubes and white cubes such that 2 cubes of the same color have at most 1 side touching. What is the total number of white cubes that were used to build the prism?
Answer:34?
Step-by-step explanation: not too sure but yeah
The sequence below is arithmetic. Complete parts (a) through (d) below.
- 1, 2, 5, 8, ...
(a) Find the common difference.
The common difference is d= . (Type a whole number.)
(b) Find the eighth term.
The eighth term is ag =
(Type a whole number.)
(c) Find a recursive rule for the nth term.
(Type an equation.)
(d) Find an explicit rule for the nth term.
(Type an equation.)
Answer:
see explanation
Step-by-step explanation:
- 1, 2, 5, 8
(a)
the common difference
d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3
(b)
to find a term in the sequence add d = 3 to the previous term
a₅ = = 8 + 3 = 11
a₆ = 11 + 3 = 14
a₇ = 14 + 3 = 17
a₈ = 17 + 3 = 20
(c)
the recursive rule is
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 3 : a₁ = - 1
(d)
the explicit rule for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 1 and d = 3 , then
[tex]a_{n}[/tex] = - 1 + 3(n - 1) = - 1 + 3n - 3 = 3n - 4
Noah went into a movie theater and bought 9 drinks and 4 candies, costing a total of $60. Nachelle went into the same movie theater and bought 10 drinks and 2 candies, costing a total of $57.50. Determine the price of each drink and the price of each candy.
Answer:
See below.
Step-by-step explanation:
Let the price of drinks be x and the price of candies be y.
Condition # 1:9x + 4y = 60 --------------------(1)
Condition # 2:10x + 2y = 57.50 --------------(2)
Multiply Eq. (2) by 22(10x + 2y) = 57.50*2
20x + 4y = 115 --------------(3)
Subtract Eq. (3) from (1)9x + 4y - 20x - 4y = 60 - 115
9x - 20x = -55
-11x = -55
11x = 55
Divide both sides by 11x = 55/11
x = $5Put x = 5 in Eq. (1)
9(5) + 4y = 60
45 + 4y = 60
Subtract 45 to both sides4y = 60 - 45
4y = 15
Divide both sides by 4y = 15/4
y = $3.75So, the cost of one drink is $5 and the cost of one candy is $3.75.
[tex]\rule[225]{225}{2}[/tex]
Total revenue is determined by price
multiplied by output. What is the total
revenue for 95 goods each priced at
$8?
A. $760
B. $450
C. $930
Answer:
A. $760
Step-by-step explanation:
Price: $8
Amount of goods; 95
revenue = price x total units
$8 x 95 = $760 revenue
What integers are the solutions to
|x-4| < 8 and |-3x| > 12
Answer:
x-4<12 x<-4
-3x<12
-3x/-3=x
12/-3=-4
x-4+4=x
8+4=12
alice passes through four traffic lights on her way to work, and each light is equally likely to be green or red. independent of the others. (a) what is the pmf, the mean, and the variance of the number of red lights that alice encounters?
The value for the number of red lights that Alice encounters are found.
Mean = 2; Var = 1; PMF = ⁿCˣ0.5ˣ × 0.5 ⁽⁴⁻ˣ⁾What is meant as the independent events?The set of findings from an experiment is thought to as events in probability. There are numerous sorts of events, including independent, dependent, and mutually exclusive ones.X = no of red lights crossed by Alice.
X is Binomial distributed
In which n=4, p=0.5, q = 0.5
Mean value is found by the formula,
Mean = np
Mean = 4×0.5
Mean = 2
And, variance = npq
Var = np(1-p)
Var = 4×0.5×0.5
Var = 1
PMF = ⁿCˣ0.5ˣ × 0.5 ⁽⁴⁻ˣ⁾
Thus, the value for pmf, the mean, and the variance of the number of red lights that Alice encounters are found.
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