Answers
Using the concept of functions option A \((f-g)(y)=2y^{2}-3y-1\) is true by solving both the functions f(y) and g(y).
What are functions?An association between each element of a non-empty set A and at least one element of a different non-empty set B is called a function. A relation f between a set A (the function's domain) and a set B is how a function is defined in mathematics (its co-domain). For any A and B, f = {(a, b) | for all a ∈ A, b ∈ B}
According to the given question we have given two functions f (y) and g (y), then:
(f - g) (y)=f(y)-g(y)
We have:
\(f(x)=5y^{2} -2y+1\)
\(g(y)=-3y^{2}-y-2\)
Subtracting both the above functions we have:
\((f-g)(y)=2y^{2}-3y-1\)
Hence option A \((f-g)(y)=2y^{2}-3y-1\) is true by using the concept of functions.
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Related Questions
a collection of 65 coins contains one with two heads. the remainder of the coins are fair. if a coin, selected randomly from the collection, turns up heads 6 times in 6 tosses, what is the probability it’s a two-headed coin?
Answers
a collection of 65 coins contains one with two heads. the remainder of the coins are fair. if a coin, selected randomly from the collection, turns up heads 6 times in 6 tosses, 1/65 is the probability it’s a two-headed coin
Definition of probability
(1) : the chance that a given event will occur. (2) : the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
We know that one coin in a collection of 65 has two heads. If a coin, chosen at random from the lot and then tossed, turns up heads 6 times in a row. We calculate the probability that it is the two-headed coin.
We calculate the number of possible combinations:
C₁⁶⁵= 65!/1!(65-1)!
= 65
Number of favorable combinations is 1.
Therefore, the probability is
P=1/65.
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1, 5, 4, 7, 3, 7, 9, 2. if the third odd number is greater than 6, multiply 9 by 3; if it is less than 5, divide 18 by 3. the correct answer is
Answers
The Correct answer is 27
Odd number are the numbers that are not multiple 2 and cannot be divided into two parts equally.
For examples: 3 , 5 , 7, 9,11 . . . . .
According to the question,
If the third odd number is greater than 6, multiply 9 by 3; if it is less than 5, divide 18 by 3.
Sequence of the number is 1, 5, 4, 7, 3, 7, 9, 2
where 1 , 5 , 7 , 7 ,9 are odd numbers
The third odd number is 7 which is greater than 6
according to question we have to multiple 9 by 3
= 9 × 3
= 27
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I really NEED help!
Question 1-
Super Sally works every day in the school office and earns $57 per day. Lazy Petunia shows up to work fewer than half as many days as Sally, and earns only $20 per day. At the end of the school year, their total earnings are $7733. The number of days that Petunia worked is closest to a) 20 b) 30 c) 40 d) 50 e) 60
Question 2-
How many 4 digit even numbers can be formed using 0,1 , 5,6, 7, 8 and 9 if repeats of digits are not allowed?
A) 120 B) 240 C) 320 D) 360 E)480
Question 3- The value of 28^983 x 98^984/14^2948
A) 98 B)392 C)784 D) 1372 E)2744
/=division
THANK YOU SO MUCH in advance!
Answers
The number of days Super Sally and Lazy Petunia work are illustrations of simultaneous equations
(a) Super Sally and Lazy Petunia
Represent their earnings with the first letters.
So, we have:
\(\mathbf{L = \frac 12S}\) -- number of days
\(\mathbf{20L + 57S= 7733}\) --- the total earnings
Make S the subject in \(\mathbf{L = \frac 12S}\)
\(\mathbf{S = 2L}\)
Substitute 2L for S in \(\mathbf{20L + 57S = 7733}\)
\(\mathbf{20L + 57 \times 2L = 7733}\)
Expand
\(\mathbf{20L + 114L = 7733}\)
Add
\(\mathbf{134L = 7733}\)
Divide both sides by 134
\(\mathbf{L = 57.7}\)
From the options, the closest to 57.7 is 60.
Hence, the number of days that Petunia worked is closest is 60
(b) 4 digit even numbers
The digits are given as: 0, 1, 5, 6, 7, 8 and 9
To create a 4-digit number, the first digit cannot be 0.
So, the first digit can be any of the remaining 6
Because, it is an even number, the number can only end with 0, 6 or 8
So, the last digit can be any of the 3
Since there is no repetition, the second and the third digits can be any of the remaining 5 and 4 digits, respectively.
So, the number of digits is:
\(\mathbf{n =6 \times 3 \times 5 \times 4}\)
\(\mathbf{n =360}\)
Hence, the number of digits is (d) 360
(c) The value of 28^983 x 98^984/14^2948
Rewrite the expression as:
\(\mathbf{\frac{28^{983} \times 98^{984}}{14^{2948}}}\)
Express all number as a base of 14
\(\mathbf{\frac{14^{2 \times 983} \times 14^{7 \times 984}}{14^{2948}} }\)
Apply law of indices
\(\mathbf{14^{2 \times 983+7 \times 984-2948}}\)
Evaluate all products
\(\mathbf{14^{1966+6888-2948}}\)
Evaluate the exponent
\(\mathbf{14^{5906}}\)
Hence, the result of \(\mathbf{\frac{28^{983} \times 98^{984}}{14^{2948}}}\) is \(\mathbf{14^{5906}}\)
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There are 18 boys and 12 girls in a math class . What is the ratio of girls to total students
Answers
12:30
Answer:
The ratio of girls to total students is 12:30, which can be simplified to 2:5.
Step-by-step explanation:
You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.
A total of 250 people were surveyed about whether or not each person carries a cell phone.
Total
Carries
Cell
Phone
0.42
Does Not
Carry Cell
Phone
0.16
Female
0.58
Male
0.12
0.42
0.30
0.72
Total
0.28
1.00
Which statement is correct?
Answers
Thsi is too much
Can you send an image of the problem
A local little league ha a total of 60 player, of whom 20% are right-handed. How many right-handed player are there?
Answers
There are 12 players of right handed, according to the question.
What do you mean by percentage?
A percentage in mathematics is a number or ratio that is expressed as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, though the percent sign, "%," is most frequently used. A percentage has no dimensions and no standard measurement.
According to data in the given question,
We have given data:
A local little league has a total of 60 players of whom 20% are right-handed.
Let x be the total number of players that are right-handed.
The value of x can be found as follow:
x = 20% of 60
x = (20/100)60
x = 0.2(60)
x = 12
Therefore, the total number of players that are right-handed is 12, if the local little league has a total of 60 players of whom 20% are right-handed.
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At the ice cream parlor,sundaes cost $4.25 and waffle cones cost $3.75.You and your friends have $50 to spend.Your group buys 5 sundaes.How many waffle cones can you purchase?
Answers
Answer:
You can buy 7 waffle cones.
Step-by-step explanation:
Let sundae = x
Let waffle cones = y
4.25x + 3.75y ≤ 50
4.25 (5) + 3.75y ≤ 50
21.25 + 3.75y ≤ 50
3.75y ≤ 28.75
y ≤ 7.666666666
* round to the nearest whole to get 7
please help me i need to solve for RS
Answers
Answer:
RS = 47Step-by-step explanation:
RV=VU and SW=WT ⇒ \(VW=\dfrac{RS+UT}{2}\)
So:
\(3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}\\\\3x+5=4x-11\\^{\qquad-5\qquad-5}\\3x=4x-16\\^{-4x\qquad-4x}\\-x=-16\\^{\div(-1)\quad\div(-1)}\\x=16\\\\RS=2x+15=2\cdot16+15=32+15=47\)
The midpoint of AB is M(3, -1). If the coordinates of A are (5,1), what are the
coordinates of B?
Answers
Given parameters:
Midpoint of AB = M(3, -1)
Coordinates of A = (5,1)
Unknown:
Coordinates of B = ?
Solution:
To find the mid point of any line, we use the expression below;
\(x_{m} = \frac{x_{1} + x_{2} }{2}\) and \(y_{m} = \frac{y_{1} + y_{2} }{2}\)
where \(x_{m}\) and \(y_{m}\) = coordinates of the mid points = 3 and -1
x₁ = 5 and y₁ = 1
x₂ = ? and y₂ = ?
Now let us input the variables and solve,
3 = \(\frac{5 + x_{2} }{2}\) and -1 = \(\frac{1 + y_{2} }{2}\)
5 + x₂ = 6 -2 = 1 + y₂
x₂ = 1 y₂ = -2 -1 = -3
The coordinates of B = 1, -3
a web music store offers two versions of a popular song. the size of the standard version is 2.4 megabytes (mb). the size of the high-quality version is 4.7 mb. yesterday, there were 720 downloads of the song, for a total download size of 2349 mb. how many downloads of the standard version were there?
Answers
By applying substitution method, it can be concluded that there were 350 downloaded standard versions.
Two-variable linear equations system is a mathematical equation consisting of two linear equations, each of which has two variables, for example, variable x and variable y.
Substitution method is a method to solve a two-variable linear equations system by changing one variable with a variable from another equation.
Information obtained from the problem:
Size of standard version = 2.4 megabytes
Size of high-quality version = 4.7 megabytes
Total downloads = 720 downloads
Total download size = 2349 megabytes
Let's assume the number of standard version downloads is S and the high-quality download is H, then we obtain the following equations:
S + H = 720 ......................... (1)
2.4S + 4.7H = 2349 ............(2)
To solve these equations, first, we have to determine the value of one of the variables using the first equation. Let's pick S.
S = 720 - H
Then we can substitute the value of S into the second equation:
2.4S + 4.7H = 2349
2.4(720 - H) + 4.7H = 2349
1728 - 2.4H + 4.7H = 2349
2.3H = 621
H = 270
As we know the value of H, we can calculate S:
S = 720 - H
= 720 - 270
= 450
Thus, there were 350 downloaded standard versions.
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Factor the expression using the greatest common factor
15x + 6 =
Answers
Answer:
3(5x+2)
Step-by-step explanation:
Given the expression
15x + 6 =
To factor we need to find the greatest common factor of 15 and 6
15 = 3×5
6 = 3×2
Substitute into the expression
15x+6
= 3(5)x + 2(3)
Factor out the like terms
= 3(5x+2)
Hence the required expression is 3(5x+2)
What is 7/8 pound divided by 1/4 pound?
Answers
Answer:
3.5 pounds
Step-by-step explanation:
7/8 / 1/4 =7/8*4=7/2=3.5
18x+6y=108
6x+10y=108
Answers
Answer:
x = 3
y = 9
Step-by-step explanation:
18x+6y=108 ----------------(I)
6x+10y=108 -------------(II)
(I) 18x + 6y = 108
(II)*(-3) -18x - 30y = -324 {Now add, x will be eliminated}
- 24y = -216
y = -216/-24
y = 9
Substitute y = 9 in equation (I)
18x + 6*9 = 108
18x + 54 = 108
18x = 108 - 54
18x = 54
x = 54/18
x = 3
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. What is the median weight of the players?
Answers
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.
The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.
The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.
In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.
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what is the Highest common factor of 72, 150 and 300
Answers
Answer:
2 × 3 × 25 = 150
Step-by-step explanation:
To find the highest common factor (HCF) of 72, 150, and 300, we can use a variety of methods, such as prime factorization, listing factors, or the Euclidean algorithm. Here's one way to find the HCF using prime factorization:
First, we can factor each number into its prime factors:
72 = 2^3 × 3^2
150 = 2 × 3 × 5^2
300 = 2^2 × 3 × 5^2
Next, we can identify the common prime factors and their lowest exponents among the three numbers:
The prime factor 2 appears in all three numbers with an exponent of at least 1, so the HCF must contain 2^1 = 2.
The prime factor 3 appears in all three numbers with an exponent of at least 1, so the HCF must contain 3^1 = 3.
The prime factor 5 appears in all three numbers with an exponent of at least 2, so the HCF must contain 5^2 = 25.
Therefore, the HCF of 72, 150, and 300 is 2 × 3 × 25 = 150.
A chart that describes a company's formal structure is called a:
a. Organizational chart
b. Flowchart
c. Gantt chart
d. Pie chart
Answers
A chart that describes a company's formal structure is called an Organizational chart.
An organizational chart is a visual representation of an organization's structure. It illustrates how individual employees, teams, and tasks fit into the broader framework. It is also known as an organization chart or org chart. This type of chart depicts reporting relationships, responsibilities, and roles within an organization in a hierarchical arrangement.
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There are 6 bands playing in a battle of the bands. 4 of the bands have a female lead vocalist. What is the ratio of
bands that have a female lead vocalist to bands competing?
Answers
Number of bands with female lead vocalist = 4
Total number of bands competing = 6
Therefore, the ratio of bands that have a female lead vocalist to bands competing is:
4/6
This can be simplified by dividing both numerator and denominator by 2:
2/3
Therefore, the ratio of bands that have a female lead vocalist to bands competing is 2:3.
What is the special name of
adjoining triangle FAN on the
basis of angle ? A=55, B=85 and C=45
Answers
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
The given trianagle FAN is an acute triangle.
Step-by-step explanation:
There are three types of triangles on the basis of angle:
Acute triangle: All three angles are less than 90°Obtuse triangle: One out of three angles is greater than 90°.Right-angled triangle: One of the measurements of an angle will be equal to 90°.(As shown in image attached)
Given:
A triangle FAN with an angle measurement of each angke.
To find:
The name adjoining triangle FAN on the basis of angle.
Solution:
In ΔFAN
∠A=55°, ∠F=85° ,and ∠C=45°
∠A<90°, ∠F<90° ,and ∠C<90°
All the given three angles of triangle FAN are less than 90°, which imolies that the given trianagle FAN is an acute triangle.
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Please help me :):)):):
Answers
Answer:
12
Step-by-step explanation:
5^2 + b^2 = 13^2
25 + b^2 = 169
169-25= 144
take the square root of 144
answer: 12
the perimeter of a isosceles triangle is 47 cm. what is the length of each of its legs? a. 15 cm b. 17.5 cm c. 19.5 cm d. 35 cm
Answers
The length of the third side of an isosceles triangle is 9 cm.
Define isosceles triangle.
A triangle with two sides that are congruent or that are the same length is known as an isosceles triangle.
Define perimeter.
The sum of the lengths of the three sides of an isosceles triangle can be used to determine its perimeter. Two of the sides of an isosceles triangle are equal in length. Therefore, if we know the base length and the other two equal side lengths, we can determine the perimeter.
Given data -
Perimeter of an isosceles triangle = 47cm
The sum of the equal sides = 38 cm
Let a be the length of equal sides.
Therefore 2a = 38
Perimeter of an isosceles triangle = 2a + b
47 = 38 + b
b = 47 - 38
b = 9 cm
The length of the third side of an isosceles triangle is 9 cm.
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The complete question is
"If the perimeter of an isosceles triangle is 47 cm and the sum of the equal sides is 38 cm. Find the length of the third side."
Bill and Ashley decided to see who could collect more rocks. The relation is given by the inequality a > 3b + 6. If Bill collected 20 rocks, what is the least number of rocks Ashley collected?
Answers
If Bill collected 20 rocks and the inequality a > 3b + 6 holds true, the least number of rocks Ashley collected can be determined by substituting the value of a and solving for b. The answer is found to be 5 rocks.
Given the inequality a > 3b + 6, where a represents the number of rocks collected by Bill and b represents the number of rocks collected by Ashley, we need to find the least possible value of b. Since Bill collected 20 rocks, we can substitute a = 20 into the inequality: 20 > 3b + 6.
By simplifying the inequality, we get 14 > 3b. Dividing both sides by 3, we find that b must be less than 4.66. However, b represents the number of rocks collected, so it must be a whole number. Therefore, the least number of rocks Ashley collected is 5.
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Insurers use a process of selecting and classifying insurance applicants to prevent individuals who have a higher-than-average probability of loss from obtaining insurance at average rates. This process is called
Answers
Answer:
This process is called
Producing. underwriting.
Step-by-step explanation:
What is the slope of the line that passes through the points (10, 2) and (19, 14) ?
Answers
Answer:
4/3
Step-by-step explanation:
Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\)
\(= \frac{14-2}{19-10}\\\\=\frac{12}{9}\\\\= \frac{4}{3}\)
HELP ASAP FIRST ANSWER GEST BRAINLIEST
Evaluate.
25÷5+7-(4×3)
Answers
Answer:
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If m∠ABF=(7b−24)°
and m∠ABE=2b°
, find m∠EBF
.
Answers
The measure angle EBF is (5b-24)°.
What are adjacent angles?Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.
Give that, m∠ABF =(7b-24)° and m∠ABE =2b°.
From the figure,
m∠ABF =m∠ABE + m∠EBF
(7b-24)°=2b° + m∠EBF
m∠EBF = 7b-24-2b
m∠EBF = (5b-24)°
Therefore, the measure angle EBF is (5b-24)°.
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the position (feet traveled) of a car is given by the equation find the time when the car is going the same speed as its average speed over the interval 0 to 10 seconds.
Answers
The car is going the same speed as its average speed over the interval 0 to 10 seconds at t = 5 seconds.
To find the time when the car is going the same speed as its average speed over the interval 0 to 10 seconds, we need to compare the instantaneous velocity of the car at a given time with its average velocity over the interval [0, 10].
The position equation is given by:
\(\mathrm{s(t) = \frac{1}{4} t^2 + 1}\)
To find the instantaneous velocity, we need to take the derivative of the position equation with respect to time:
\(\mathrm{v(t) = ds/dt = d/dt [\frac{1}{4} t^2 + 1]}\)
\(\mathrm{v(t) = \frac{1}{2} t}\)
The average velocity over the interval [0, 10] is the change in position divided by the change in time:
Average velocity = \(\mathrm{\frac{s(10) - s(0)}{(10 - 0)}}\)
\(= \frac{1/4 (10^2) + 1 - (1/4)(0^2) - 1}{10} \\\\ = \frac{(25 + 1 - 0 - 1)} {10}\\\\= 25 / 10\\\\= 2.5\)
Now we need to find the time when the instantaneous velocity (v(t)) is equal to the average velocity (2.5):
(1/2)t = 2.5
Solving for t:
t = 2.5 x 2
t = 5
Therefore, the car is going the same speed as its average speed over the interval 0 to 10 seconds at t = 5 seconds.
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Circle C is shown. Radius A has a length of r. In circle C, r = 32 units. What is the area of circle C? 32Pi units squared 64Pi units squared 256Pi units squared 1024Pi units squared
Answers
Answer:
A = 1024 pi units^2
Step-by-step explanation:
If r = 32 units, we can find the area
A = pi r^2
A = pi ( 32) ^2
A = 1024 pi units^2
The area of the circle C is 1024π square units.
What is area?Area is the amount of space occupied by a two-dimensional figure.
What is the formula for the area of circle?The formula for the area of circle is given by
\(Area = \pi r^{2}\)
Where,
r is the radius of the circle
According to the question.
We have the radius of circle, r = 32 units
Therefore,
The area of the circle C is given by
\(Area = \pi (32)^{2}\)
⇒ \(Area = 1024\pi\) square units
Hence, the area of the circle C is 1024π square units.
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according to the census bureau, 3.04 people reside in the typical american household. a sample of 19 households in arizona retirement communities showed the mean number of residents per household was 2.97 residents. the standard deviation of this sample was 1.33 residents. at the 0.05 significance level, is it reasonable to conclude the mean number of residents in the retirement community household is less than 3.04 persons?
Answers
The t table yields the crucial value of -1.753 at 18 degrees of freedom for the left-tailed test at a 0.05 significance level. Because our test statistics are greater than the crucial values of t as -0.223 > 1.753, the evidence is on reject our null hypothesis because it will not fall in the rejection area if the null hypothesis is rejected.
The average number of inhabitants in the retirement community household is 3.04 people.
The average American household has 3.04 persons, according to the census agency.
A study of 16 houses in Arizona retirement communities revealed that the average number of persons per household was 2.76. This sample's standard deviation was 1.29 inhabitants.
Assume μ = the average number of persons in a retirement community's home
As a result, the Null Hypothesis, H0:μ ≥ 3.04 persons
signifies that the average number of inhabitants in the retirement community household exceeds or equals 3.04 people.
Alternate Hypothesis, Ha:μ < 3.04 persons
This signifies that the average number of inhabitants in the retirement community household is fewer than 3.29.
Because the population standard deviation is unknown, the test statistics that will be employed here are one-sample t-test statistics.
T.S. = (X - μ) ÷ (s ÷ √n) ≈ tn-1
where X is the sample mean of several inhabitants per home (2.97), and s is the sample standard deviation (1.33 residents).
n = number of homes sampled = 18
So, test statistics = (2.97 - 3.04) ÷ (1.33 ÷ √18) ≈ t18
The test statistics value is -0.223.
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show work for x<4 and x<-1
Answers
Answer:
The answer will be 4-1pleaseWhy do you think the military police (MPs) confronted the men at the reservoir shack? Do you think the MPs did the right thing? Do you think Kaz and his men did the right thing? Explain.
Farewell To Manzanar, Chapter 6-11. IF U GET IT RIGHT U GET BRAINLIEST, 5 STARS AND THANKS
Answers
Answer:
ywes
Step-by-step explanation: