Question 4 of 25
Which of the following is an example of a quadratic equation?
O A. *² =125
OB. y = 11x-3
C. y = 2211
-1
OD. x-8=9
Answers
The option that represents a quadratic function is: (c) x^2 = 125
How to determine a quadratic function?The attached image completes the question
A quadratic function is represented as:
y = ax^2 + bx + c
Using the above format, the option that represents a quadratic function is: (c) x^2 = 125
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Related Questions
A function, f(x), represents the distance a car travels over time. The line tangent to the function at x=1 is y=0.6x+0.9. The line tangent to the function at x=4 is y=2.1x-3.2. The line tangent to the function at x=6 is y=4.6x-16.3.
Answers
9514 1404 393
Answer:
0.6
Step-by-step explanation:
The instantaneous rate of change at any point on a curve is the slope of the tangent line at that point.
At x=1, the tangent line is given as ...
y = 0.6x +0.9
The slope of that line is the coefficient of x, 0.6.
The instantaneous rate of change of f(x) at x=1 is 0.6.
Which of the following sets does the number 213 belong to?
Select all correct answers.
Select all that apply:
Whole Numbers
Integers
Rational Numbers
Irrational Numbers
Real Numbers
None of the Above
Answers
Answer:
Whole number, integers, rational numbers, real numbers
Step-by-step explanation:
Whole numbers are numbers without fractions/decimals, so it fits
Integers are whole numbers that can also be negative, unlike whole numbers
Rational numbers are numbers that can be expressed as fractions or decimals that do not go on forever
Real numbers are numbers that are not i, or square root or rad of a negative value
What is the limit of (n!)^(1/n) as n approaches infinity?
Note: n! means n factorial, which is the product of all positive integers up to n.
Answers
Answer:
Step-by-step explanation:
To find the limit of (n!)^(1/n) as n approaches infinity, we can use the Stirling's approximation for n!, which is:
n! ≈ (n/e)^n √(2πn)
where e is the mathematical constant e ≈ 2.71828, and π is the mathematical constant pi ≈ 3.14159.
Using this approximation, we can rewrite (n!)^(1/n) as:
(n!)^(1/n) = [(n/e)^n √(2πn)]^(1/n) = (n/e)^(n/n) [√(2πn)]^(1/n)
Taking the limit as n approaches infinity, we have:
lim (n!)^(1/n) = lim (n/e)^(n/n) [√(2πn)]^(1/n)
Using the fact that lim a^(1/n) = 1 as n approaches infinity for any constant a > 0, we can simplify the second term as:
lim [√(2πn)]^(1/n) = 1
For the first term, we can rewrite (n/e)^(n/n) as [1/(e^(1/n))]^n and use the fact that lim a^n = 1 as n approaches infinity for any constant 0 < a < 1. Thus, we have:
lim (n/e)^(n/n) = lim [1/(e^(1/n))]^n = 1
Therefore, combining the two terms, we have:
lim (n!)^(1/n) = lim (n/e)^(n/n) [√(2πn)]^(1/n) = 1 x 1 = 1
Hence, the limit of (n!)^(1/n) as n approaches infinity is 1.
Answer:1
Step-by-step explanation:
1 1/3+2 3/4 simplified
Answers
Answer:
4 1/12
Step-by-step explanation:
Answer: 4 1/2
cause it is
Complete the statement describing the key features of function h. Function h has an x-intercept of -3, an x-intercept of 0, an x-intercept of 1, no x-intercept and a y-intercept of -3, 0, 1. The function is positive for x>-3, x>0, x>1, all x and increasing, decreasing on all intervals of x. The average rate of change for the function on the interval [0,2] is 4.5, 7.5, 9, 15. Saved the answer
Answers
The answer for blanks in statements are, an x-intercept of 1 , -3, x>1 , increasing , 7.5.
Describe Function?Many mathematical and real-world phenomena are described by functions. Modeling real-world occurrences like population increase, interest rates, or physical motion is frequently done using them. There are many distinct features that functions can have, including continuity, differentiability, and periodicity. Functions can also be linear or nonlinear.
The domain and range of functions are crucial components. The set of all potential input values makes up the domain of a function, whereas the set of all possible output values makes up the range. The behaviour of a function, such as whether it is increasing, decreasing, or constant, can also be used to categorize it. A function's graph shows the relationship between its input and output values graphically.
Function h has an x-intercept of 1 and a y-intercept of -3. The function is positive for x>1 and increasing on all intervals of x. The average rate of change for the function on the interval [0, 2] is 7.5
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(7.3)2 + 9.1 divided by (8.7 - 6.1)
im not very good with math that much sorry !!
Answers
Answer:
i think you put the 7.3X2+9.1 then divided it by 8.7 -6.1
Step-by-step explanation:
let me see if i can help you
Answer:
18.1
Step-by-step explanation:
(7.3)2+9.1 / (8.7-6.1)
PEMDAS
Paranthesis first so: 7.3 x 2 = 14.6 , 8.7 - 6.1 = 2.6
So the equation becomes 14.6 + 9.1 / 2.6
Division next since there are no exponents or multiplication: 9.1 / 2.6 = 3.5
Equation becomes 14.6 + 3.5
Addition next: 14.6 + 3.5 = 18.1
The table shows how many children and adults prefer each of two different fruits. How would you find the joint relative frequency of being an adult who prefers watermelon?%0D%0A%0D%0AWatermelon%09Grapes%09Total%0D%0AChild%09132%0985%09217%0D%0AAdult%09111%09117%09228%0D%0ATotal%09243%09202%09445%0D%0A%0D%0AA.%0D%0ADivide 111 by 228.%0D%0A%0D%0AB.%0D%0ADivide 111 by 243.%0D%0A%0D%0AC.%0D%0ADivide 111 by 445.%0D%0A%0D%0AD.%0D%0ADivide 243 by 445.
Answers
The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.
Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.
So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.
Hence, the correct answer is:
C. Divide 111 by 445.
Which gives an equation for the line perpendicular to y = 2/3x + 1 that contains (0, 2) * O y = 3/2x + 2 O y = -3/2x + 2 O y = 3/2x-2 O y = -3/2x-2
Answers
Answer:
\(y = -\frac{3}{2}x + 2\)
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
\(y = mx + b\)
In which m is the slope and b is the y-intercept(value of y when x = 0).
If two lines are perpendicular, the multiplication of their slopes is -1.
Contains (0, 2)
This means that \(b = 2\). So
\(y = mx + 2\)
Finding the slope:
Perpendicular to y = 2/3x + 1 means that:
\(\frac{2m}{3} = -1\)
\(2m = -3\)
\(m = -\frac{3}{2}\)
So
\(y = -\frac{3}{2}x + 2\)
6x/x+6
Find all real numbers for which the rational expression is undefined.
Answers
Answer:
x=-6
Step-by-step explanation:
For the rational expression, 6x/(x+6) to be undefined, the denominator need to be 0, so x=-6 is the point at which the function is undefined.
The rational expression 6x / (x + 6) is undefined when x equals -6, and it is defined for all other real numbers.
To find the real numbers for which the rational expression 6x / (x + 6) is undefined, we need to identify the values of x that would make the denominator equal to zero. When the denominator is zero, the expression becomes undefined.
In this case, the denominator is (x + 6). Setting the denominator equal to zero, we have:
x + 6 = 0
Solving for x, we subtract 6 from both sides:
x = -6
Therefore, the rational expression 6x / (x + 6) is undefined when x = -6.
When x is equal to -6, the denominator becomes zero, which causes division by zero. Division by zero is undefined in mathematics. Hence, for x = -6, the rational expression is not defined.
For any other real numbers other than x = -6, the expression is defined and can be simplified or evaluated.
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A major airline company is concerned that its proportion of late arrivals has substantially increased in the past month. Historical data shows that on the average 18% of the company airplanes have arrived late. In a random sample of 1,240 airplanes, 310 airplanes have arrived late. If we are conducting a hypothesis test of a single proportion to determine if the proportion of late arrivals has increased, what is the correct statement of null and alternative hypotheses
Answers
Answer:
The correct statement is
The null hypothesis is \(H_o : p = 0.18\)
The alternative hypothesis is \(H_a : p > 0.18\)
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.18
The sample size is n = 1240 airplane
The number of airplane is k = 310
Generally the sample proportion is
\(\^ p = \frac{k}{n}\)
=> \(\^ p = \frac{310}{1240}\)
=> \(\^ p =0.25\)
The null hypothesis is \(H_o : p = 0.18\)
The alternative hypothesis is \(H_a : p > 0.18\)
Sally sells popcorn for $1 and beverages for $2. What will be her total sales if 19 people each buy one bag of popcorn and one beverage?
Answers
38+19 = $57 total
Answer:
$57
Step-by-step explanation:
multiply the amount of people with the proce amounts so:
19x1= 19 and 19x2=38
then add the two sums. 19+38 which equals to 57.
(or you can do 19+19(2) to get the same answer)
Tell whether the ordered pair is a solution of the equation. y = x - 5; (6, 11)
Answers
Answer:
Not a solution
Step-by-step explanation:
y=x-5
Plug in the point (6,11)
11=6-5
11=1
11≠1
Because the left side of the equation and the right side aren't equal, the ordered pair (6,11) is not a solution to the equation y=x-5.
I hope this helps!
Answer:
It isn't a solution of the equation.
Step-by-step explanation:
(x, y) = (6, 11)
You replace the values ok the equation:
11=6-5
11=1 Which is FALSE so it isn't a solution of the equation.
Kayla had $25 to spend on two pencils after buying them she had $21 how much did each pencil cost.
Answers
write an equation that represents the situation letting x be the cost of the pencils
\(25-2x=21\)solve for x
\(\begin{gathered} -2x=21-25 \\ -2x=-4 \\ x=\frac{-4}{-2} \\ x=2 \end{gathered}\)each pencil costs $2.
9. (a) (b) (c) (d) (e) Bako is twice as old as he was five years ago. His mother was then six times as old as he was. She is now 35 years old. How old is Bako? 10 How old was his mother when Bako was five? How old will Bako be when his mother is 50? How old was Bako's mother when he was born? What is the difference between Bako's age and his mother's?
Answers
Answer:
(a) Bako is 10 years old
(b) His mother was 30 years old when Bako was 5
(c) Bako will be 25 years old when his mother is 50
(d) Bako's mother was 25 years old when he was born
(e) The difference between Bako's age & his mother's is 25 years
Step-by-step explanation:
Let Bako's age five years ago be x years
Presently, Bako is 2x years old (according to the 1st statement)
Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.
This simply means that Bako's present age is BOTH 2x years & (x + 5) years.
We have to equate them since they mean the same thing (Bako's present age)
x + 5 = 2x
2x - x = 5
Therefore x = 5 years
Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.
This simply means that Bako's age now is 10 years old.
His mother was then six times 5 years = 30 years old (from the 2nd statement).
If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.
This simply means that Bako's mother is older than him with 25 years.
Therefore, Bako will be 25 years old when his mother is 50 years old
which is the better deal 21oz for 5$ or 5oz for $1.30
Answers
Answer: 5oz for $1.30
Step-by-step explanation:
because the aligator likes lower numbers .
Which is the best example of selecting a systematic random sample?
Two distinct groups are formed from members of a population based on some characteristic, and a random
sample of 50 people is selected from each group.
Members of a population are divided into representative groups, and then every 3rd group is selected until a
sample of 100 people is formed.
Members of a population are listed in order of birthday, and every 5th person is selected until a sample of 100
people is formed.
The first 100 people to respond to a call for participants are selected.
Answers
Using it's concept, it is found that the best example of a systematic random sampling is given by:
Members of a population are listed in order of birthday, and every 5th person is selected until a sample of 100 people is formed.
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.In this problem, we want a systematic sample, that is, every kth person(not group), hence the correct option is:
Members of a population are listed in order of birthday, and every 5th person is selected until a sample of 100 people is formed.
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Answer:
C. Members of a population are listed in order of birthday, and every 5th person is selected until a sample of 100 people is formed.
Step-by-step explanation:
what is 14 divided by 2/7 in simplest from
Answers
Answer:
98/2
Step-by-step explanation:
The numbers in 14 divided by 2/7 are labeled below:
14 = whole number
2 = numerator
7 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
14 x 7
2
=
98
2
Thus, the answer to 14 divided by 2/7 in fraction form is:
98
2
To make the answer to 14 divided by 2/7 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
98 / 2 = 49
The answer is rounded to the nearest two decimal points if necessary.
98/2 can be simplified to 49/1.
49/1 is an improper fraction and should be written as 49.
the simplest form of 14 divided by 2/7 is 49.
To divide 14 by 2/7, we can convert the division operation into multiplication by taking the reciprocal (flipping) of the divisor. The reciprocal of 2/7 is 7/2. So, we have 14 multiplied by 7/2.
To simplify this further, we can cancel common factors between the numerator of 14 and the denominator of 2. Both 14 and 2 share a common factor of 2. Dividing both by 2, we get 7 and 1 respectively.
Therefore, the division 14 divided by 2/7 simplifies to 7 multiplied by 7/1, which equals 49. Thus, the simplest form of 14 divided by 2/7 is 49.
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2 i A rectangular swimming pool has a length of L yards and a width 4 yards less than its length. How much does it cost to border the outside of the pool using 1-yard square tiles that cost $6 each? • (4L-4) dollars • (24L – 24) dollars •(24L – 32) dollars •(24L - 48) dollars
Answers
Step-by-step explanation:
w= L-4
$(24L-48)
......
Find the principal needed now to get the given amount; that is, find the present value.
To get $600 after 4 years at 7% compounded monthly
Answers
The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.
To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:
Compound Interest =P(1+r/n)^rt
Substituting the given values, we get:
Compound Interest =600 (1+7/n)^4
Simplifying this equation, we get
P = 600 / 1.487
P = 451.73
Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.
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Calculate the percent relative average deviation for the following set of data. 20.96, 20.85, 20.89, 20.92
Answers
The percent relative average deviation for the data set is 0.30%.
((20.96 - 20.89) + (20.85 - 20.89) + (20.92 - 20.89)) / 3 / 20.89 * 100 = 0.30%
The percent relative average deviation for the given data set can be calculated by first finding the absolute differences between each value and the mean (20.89) then adding those differences together. Once the differences are added, divide that by the mean and multiply by 100. This will give you the percent relative average deviation, which in this case is 0.30%.
The percent relative average deviation for the data set is 0.30%.
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Combine like terms
3x + 2x + 11y - 7y
Help
Answers
Answer:
5x + 4y
Step-by-step explanation:
3x + 2x = 5x
11y - 7y = 4y
3x + 2x + 11y - 7y
You could look at it like
(3x + 2x) + (11y - 7y)
5x + 4y
35%of students wear glasses.There are 14 students who wear glasses.How many pupils are there in the class?
Answers
Answer: 40 pupils
Step-by-step explanation:
35 14
------- = --------
100 ?
find the denominator.
multiply 14 and 100:
14 x 100 = 1400
divide 1400 by 35
1400/35 = 40
Therefore there are 40 students
Given y = 15x - 6, predict the value of y when x = 500
Answers
Answer:
Select the correct answer.
Why is the Louisiana Purchase treaty an important document in the study of Manifest Destiny
A.It provides an insightful history of New Orleans before it joined the United States.
B.It indicates just how prosperous the United States was becoming.
C.It illustrates the relationship between the United States and France.
D. It shows the extent to which the United States was claiming land westward.
Answer:
Explanation:
Step-by-step explanation:
If g(x) = 2 - 5x, what is the value of g(2) - g(5)?
Answers
Answer:
15
Step-by-step explanation:
the steps are in the pic above
a catering service offers 4 appetizers 8 main courses and 3 desserts
Answers
Oh, cool! I would love all that food. Food is life.
What was the question though?
Subtract using the number line.
−1/3−1 2/3
Select the location on the number line to plot the difference.
Answers
The difference between -1/3 and -1 2/3 is -2 .
A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.
Basic rules for the Number line -
Find the dot marked on a number.Place a dot at the desired location.Find the desired number below the number line's tick mark.Add the missing number.Learn the numbers to the right are higher than numbers to left.Determine which number is greater than, less than or equals.Given that
Subtract -1/3 -1 2/3
solve -1 2/3 = -5/3
= -1/3 -5/3
= -1 -5 /3
= -6 / 3
= -2 .
Thus the diference between number -1/3 , -1 2/3 is -2 , for location see the attachment below .
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8-109. Solve each equation.
.
a. 6x+12=-x-2
Answers
Answer:
x = -2
Step-by-step explanation:
6x+12 = -x-2
7x+12 = -2(bring x to the left)
7x = -14(bring constants to the right)
x = -2
Which of the following statements is true for the following data set?
7, 5, 6, 4, 7, 8, 12
a. Only the mean and median are equal.
b. Only the mean and mode are equal.
c. Only the median and mode are equal.
d. The mean, median, and mode are all equal.
Answers
Answer:
D.
Step-by-step explanation:
Mean : 7 + 5 + 6 + 4 + 7 + 8 + 12 = 12 + 10 + 7 + 20 = 30 + 19 = 49. 49/7= 7
Mode : 7.
Median 4 , 4, 6, 7, 7, 8, 12. 7 is the middle number
simplify the expression 5×6+6+6–12×2
Answers
Answer:
18
Step-by-step explanation:
Use PEMDAS
p=parenthesis
E=exponent
M=multiplication
D=division
A=addition
S=subtraction
Which of the following is a correct factorization of this trinomial?
-4x² +11x-6
A. -(4x+3)(x + 2). B. -4(x+3)(x + 2)
C. -(x+3)(x-4)
D. (-4x+3)(x-2)
Answers
Answer:
D
Step-by-step explanation:
Step 1: Find the factors of 4 and -6
-4x² +11x-6
-4x 3
1x -2
(This works because -4 x -2 multiple to 8 and 3 x 1 gives you 3 and when you add it up it gives you the 'b' term)
Step 2: Read the numbers from left to right starting from the top to bottom
(-4x+3)(1x-2)
Therefore the answer to the question is D.
Answer:
A
explain
= -4x^2-11x-6
= -4x^2-8x-3x-6
= -4x(x+2)-3(x+2)
= (x+2) (-4x-3)
= -(4x+3) (x+2)