The value of (f-g)(x) is x + 14.
What is Function?A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.
Here, given function;
f(x) = 3x + 10 and g(x) = 2x - 4
Now,
(f - g)(x) = f(x) - g(x)
= (3x + 10) - (2x - 4)
= 3x + 10 - 2x + 4
= (3x - 2x) + (10 + 4)
(f - g)(x) = x + 14
Thus, the value of (f-g)(x) is x + 14.
Learn more about Function from:
https://brainly.com/question/12431044
#SPJ1
An old poem reads: As I was going to Saint Ives, I met a man with seven wives. Each swife had seven kids. Each kid had seven cats. Each cat had seven kittens. Kittens, cats, kids, wives, how many were going to Saint Ives? Assuming that all the wives, kids, cats and kittens were with the man, what's the answer to the poem's question?
Answer:
it depends
Step-by-step explanation:
One serving of ice cream contains 1,400 calories. If 322 calories come from fat, what percent of the total calories come from fat?
Answer:
23%
Step-by-step explanation:
322 ÷ 1400 = 0.23 = 23%
Step-by-step explanation:
x percent of 1400 calories = 322 calories so, (x × 1400)÷100 = 322x = (322 × 100) ÷1400x = 32200 ÷ 1400x = 23MARK ME AS BRAINLISTPLZ FOLLOW MEHelp Janet conduct an internet search and record at least two characteristics of each option.
Traditional bank
Credit union
Online-only bank
The characteristics of a traditional bank are:
Traditional banks accepts deposits from customersTraditional banks serve as a link between borrowers and lenders.The characteristics of a credit union are:
Members own the credit union.Credit unions are non-profit.The characteristics of an Online-only bank are:
Financial transactions can be conducted on the internet. An online-only bank does not have a building where customers can visit to carry out transactions.A bank is a financial institution that accepts deposits from customers and give out loans to people. Banks also keep valuables for customers. The types of accounts that customers can save their monies in include:
Current account. Savings account.Certificate of deposit.Credit unions are financial institutions that are owned by its members. A credit union is a non-profit organisation. They usually offer higher interest rates on savings and a lower interest rate on loans when compared with banks.
An online-only bank is a bank that can be assessed online only.
To learn more, please check: https://brainly.com/question/19437011?referrer=searchResults
find an x value so that the line will be purely
To find an x value so that the line will be parralel:
Set both values equal to each other and solve for x - value
\(\begin{gathered} 3x-1=x+11 \\ \text{collect like terms} \\ 3x-x=11+1 \\ 2x=12 \\ \text{divide both side by 2} \\ \frac{2x}{2}=\frac{12}{2} \\ x=6 \end{gathered}\)Therefore the correct value of x = 6
how many lattice paths are there from (2, 1) to (24, 30) that pass through the point (8, 10) but do not pass through either of the points (7, 7) and (16, 25)?
The number of lattice paths from (2, 1) to (24, 30) with a constraint of passing through (8, 10) but not (7, 7) or (16, 25) is a complex problem that requires a detailed mathematical calculation, that is explained below.
Lattice paths are sequences of steps in the form of up steps (U) and right steps (R) that connect two points in a grid. The number of lattice paths from one point to another can be calculated using combinatorics.
To determine the number of lattice paths from (2, 1) to (24, 30) that pass through the point (8, 10) but do not pass through either of the points (7, 7) and (16, 25), we need to calculate the total number of paths and subtract the number of paths that pass through the restricted points.
Let's call the total number of paths T, the number of paths that pass through (8, 10) P, the number of paths that pass through (7, 7) Q, and the number of paths that pass through (16, 25) R.
The number of paths from (2, 1) to (8, 10) is given by the binomial coefficient C(10 - 1, 8 - 2) = C(9, 6) = 84.
The number of paths from (8, 10) to (24, 30) is given by the binomial coefficient C(30 - 10, 24 - 8) = C(20, 16) = 18564.
The number of paths from (2, 1) to (24, 30) that pass through (8, 10) is given by T = P = 84 * 18564 = 1,547,136.
Similarly, the number of paths from (2, 1) to (7, 7) is given by the binomial coefficient C(7 - 1, 7 - 2) = C(6, 5) = 15.
The number of paths from (7, 7) to (24, 30) is given by the binomial coefficient C(30 - 7, 24 - 7) = C(23, 17) = 9,139,554.
The number of paths from (2, 1) to (24, 30) that pass through (7, 7) is given by Q = 15 * 9139554 = 137,093,310.
The number of paths from (2, 1) to (16, 25) is given by the binomial coefficient C(25 - 1, 16 - 2) = C(24, 14) = 3003.
The number of paths from (16, 25) to (24, 30) is given by the binomial coefficient C(30 - 25, 24 - 16) = C(5, 8) = 70.
The number of paths from (2, 1) to (24, 30) that pass through (16, 25) is given by R = 3003 * 70 = 210,210.
Finally, the number of paths from (2, 1) to (24, 30) that pass through (8, 10) but do not pass through either of the points (7, 7) and (16, 25) is T - P - Q - R = 1547136 - 137,093,310 - 210,210 = -135,599,384.
The number of lattice paths from (2, 1) to (24, 30) that pass through (8, 10) but do not pass through either of the points (7, 7) and (16, 25) is zero, as the result is negative.
Learn more about binomial coefficient here:
https://brainly.com/question/14216809
#SPJ4
There's a rhombus with sides, 2x + y + 1, 1.5x - 0.5y - 1 and x-y, find the perimeter
Answer :59.9
Step-by-step explanation:
Is this a right triangle 11,95,8
Answer:
no
Step-by-step explanation:
Answer:
nooooooooooooooooooooooooo
How do you write 10/100 as a percentage?
Answer: \(\frac{10}{100}\)× 100
Step-by-step explanation:
Answer:
10/100 = 10%
Step-by-step explanation:
10/100 = 0.1
0.1 * 100 = 10%
48:08 bok sk onces Problem 3-12 (Static) The following equation summarizes the trend portion of quarterly sales of condominiums over a long cycle. Sales also exhibit seasonal variations. Ft 40-6.5t+2t
The seasonal problem may be predicted using the difference between actual sales and the trend portion of the sales as given by the equation: \(Ft 40-6.5t+2t².\)
Solving the given equation: \(Ft = 40 - 6.5t + 2t²\)Hence, the trend portion of quarterly sales of condominiums over a long cycle is given by the equation\(Ft = 40 - 6.5t + 2t²\) where t is time in quarters (Q1 1981 is t=1, Q2 1981 is t=2, Q3 1981 is t=3, etc.)
Given that sales exhibit seasonal variations, the seasonal problem may be predicted using the difference between actual sales and the trend portion of the sales as given by the equation Ft = 40 - 6.5t + 2t².
To know more about the word variations visits :
https://brainly.com/question/11333978
#SPJ11
Please help me !! would appreciate
The answers that describe the quadrilateral DEFG area rectangle and parallelogram.
The correct answer choice is option A and B.
What is a quadrilateral?A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.
Quadrilateral DEFG
if line DE || FG,
line EF // GD,
DF = EG and
diagonals DF and EG are perpendicular,
then, the quadrilateral is a parallelogram
Hence, the quadrilateral DEFG is a rectangle and parallelogram.
Read more on quadrilaterals:
https://brainly.com/question/23935806
#SPJ1
Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym Two-thirds the distance from Ping's home to Ari's home.
x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1
y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1
Where is the gym?
9th Street and 10th Avenue
12th Street and 12th Avenue
14th Street and 12th Avenue
15th Street and 14th Avenue
Answer: (15th street, 14th Avenue)
Step-by-step explanation:
Given the following :
Ping's residence = (3rd street, 6th Avenue)
Ari's residence = (21st street, 18th Avenue)
Gym location = 2/3 the distance of Ping's residence to Ari's residence
So, distance between Ping's home to Ari's home
Distance = (21st street, 18th Avenue) - (3rd street, 6th Avenue)
Distance = (21 - 3) street, (18 - 6) avenue
Distance between ping and Ari = (18th , 12th )
Gym distance = 2/3 of distance between ping and Ari
Gym distance = 2/3 × (18), 2/3 ×(12)
Gym distance = (12, 8)
Gym location = Ping's location + gym distance
Gym location = (3rd street, 6th Avenue) + (12th street, 8th Avenue)
Gym location = (15th street, 14th Avenue)
Answer:
D
Step-by-step explanation:
cuz its right :0
ope has $900 in her checking account. she has $ 76 per month that she must pay bills .at most how many months,m, can she pay all of her bills without making any additional deposits?
Answer:
11 months
Step-by-step explanation:
Answer:11 Months
Step-by-step explanation:
Nine hundred divided 76 equals Months 900÷76=M
What is the slope of (-12,-5) , (0,-8)
Answer:
-4 is your awsner
Step-by-step explanation:
Answer:
slope = -1/4
Step-by-step explanation:
slope = y2-y1/x2-x1
slope = (-8)-(-5)/0-(-12)
slope = -3/12
slope = -1/4 = -0.25
A triangle has one side that measures 5 units and another side that
measures 7 units. What are two possible lengths for the third side?
Explain why you chose the lengths you did.
Answer:
see explanation
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is between the limits
difference of 2 sides < x < sum of 2 sides, that is
7 - 5 < x < 7 + 5 , then
2 < x < 12
Choose any 2 values between 2 and 12 as third side, so
third side could be 6 or 9 for example
give an unambiguous grammar that generates the set of all regular expressions on σ = {a, b}.
An unambiguous grammar, also called an unambiguous context-free grammar (CFG), is a grammar that generates exactly one syntax tree for each string in the language it defines. The set of all regular expressions on σ = {a, b} can be generated by the following unambiguous grammar:
1. R -> R | RR | RE | R*
2. E -> a | b | ε
3. RR -> R R
4. RE -> R E
5. R* -> R *
Here's an explanation of the grammar:
1. R represents a regular expression. It can be a concatenation of regular expressions (RR), an elementary regular expression (E), or a regular expression followed by a kleene star (R*).
2. E represents an elementary regular expression, which can be either "a", "b", or the empty string "ε".
3. RR is a production rule that defines the concatenation of two regular expressions.
4. RE is a production rule that defines the concatenation of a regular expression with an elementary regular expression.
5. R* is a production rule that defines a regular expression followed by a kleene star.
This unambiguous grammar generates the set of all regular expressions on σ = {a, b} by allowing combinations of these production rules to form valid regular expressions. As the grammar is unambiguous, each string generated has a unique parse tree, ensuring clarity and correctness in the language defined by the grammar.
To learn more about unambiguous grammar : brainly.com/question/28188050
#SPJ11
Graph and label the functions: \(y=|2x|\) and \(y=\frac{1}{2}x\). Summerize what each of the transformations do to the parent function: y=|x|. Please show the graph!!
According to the graph transformation, the function y = |2x| is compressed than the parent function y = |x| and the function y = 1/2x is drawn as straight line.
Graph transformation:
The graph transformation refers a process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph and it also shows the modification of algebraic equations.
Given,
Here we have the function y = |2x| and y = 1/2x.
Now, we need to find the transformations do to the parent function: y=|x|.
Here we need to plot the graph for each of the function.
And we have to plot the separate graph for the parent function.
While we compare these two graph we have identify the function y = |2x| is compressed than the parent function y = |x|.
And the function y = 1/2x makes the straight line on the graph but the parent function has v shaped graph so, it is not possible to compare them.
To know more about Graph transformation here.
https://brainly.com/question/10059147
#SPJ1
A box containing 5 yellow balls, 3 orange balls, and 1 red ball. Two balls are drawn at random. Find the probability that one ball is orange and the other is red.
Answer:
Ok, sure.
Step-by-step explanation:
Total number: 5 yellow + 3 orange + 1 red = 9 balls.
To calculate the probability, we need to determine the favorable outcomes, which is the number of ways we can choose one orange ball and one red ball.
Number of ways to choose one orange ball: 3
Number of ways to choose one red ball: 1
Since we need to choose one orange ball and one red ball, the number of favorable outcomes is the product of these two:
Number of favorable outcomes = 3 * 1 = 3
Now, let's calculate the total number of possible outcomes. We will choose 2 balls out of the 9 available in the box.
Number of ways to choose 2 balls out of 9 = 9C2 = (9 * 8) / (2 * 1) = 36
Therefore, the total number of possible outcomes is 36.
Finally, we can calculate the probability:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 3 / 36
Probability = 1 / 12
So, the probability that one ball is orange and the other is red is 1/12.
Answer:
\(\frac{1}{12}\) or 0.0833
Step-by-step explanation:
This problem can be solved using the formula:
P(A∩B)=P(A)×P(B∣A)
where P(A∩B) is the probability of both events happening, P(A) is the probability of the first event happening, and P(B∣A) is the probability of the second event happening given that the first event has happened.
In this case, we want to find the probability that one ball is orange and the other is red. There are two possible ways this can happen: either we draw an orange ball first and then a red ball, or we draw a red ball first and then an orange ball. We can use the formula to calculate the probability of each scenario and then add them up.
The probability of drawing an orange ball first is P(O)=3/9, since there are 3 orange balls out of 9 total balls. The probability of drawing a red ball second given that we have drawn an orange ball first is P(R∣O)=1/8 since there is 1 red ball out of 8 remaining balls. Therefore, the probability of drawing an orange ball first and then a red ball second is:
P(O∩R)=P(O)×P(R∣O)= 93/9 × 1/8 = 1/24
Similarly, the probability of drawing a red ball first is P(R)=1/9, since there is 1 red ball out of 9 total balls. The probability of drawing an orange ball second given that we have drawn a red ball first is P(O∣R)=3/8, since there are 3 orange balls out of 8 remaining balls. Therefore, the probability of drawing a red ball first and then an orange ball second is:
P(R∩O)=P(R)×P(O∣R)= 1/9 × 3/8 = 1/24
Finally, we can add up the probabilities of both scenarios to get the answer:
P(O,R)=P(O∩R)+P(R∩O)= 1/24 + 1/24 = 2/24 = 1/12
Therefore, the probability that one ball is orange and the other is red is 1/12 or about 0.0833.
Express as a trinomial
(3x-3)(x+2)
Answer:
3x² + 3x - 6
Step-by-step explanation:
(3x - 3)(x + 2)
each term in the second factor is multiplied by each term in the first factor, that is
3x(x + 2) - 3(x + 2) ← distribute parenthesis
= 3x² + 6x - 3x - 6 ← collect like terms
= 3x² + 3x - 6
A boy 1.2m tall stands 6m away from the foot of a vertical lamp pole 4.2m long. If the lamp is at the tip of the pole, calculate
I. the length of the shadow the boy cast at the lamp
II. angle of elevation of the lamp from the boy correct to the nearest degree.
The similar triangles formed by the boy and the lamp, indicates that ratio of the length of the shadow of the boy cast by the lamp to the boy's height, indicates;
The length of the shadow cast by the lamp is; 2.4 meters
The angle of elevation of the lamp from the boy is about 27°
What are similar triangles?Similar triangles are triangles that have the same shape but may have different sizes.
Part of the question obtained from a similar question on the internet includes;
i) Calculate the length of the shadow of the boy cast by the lamp
ii) The angle of elevation of the lamp from the boy correct to the nearest degree
The length of the shadow can be found using the equivalent ratio of the corresponding lengths of similar triangles as follows;
i) According to the equivalent ratios of the corresponding sides on similar triangles, we get;
The ratio of the length of the shadow of the boy cast by the lamp to the height of the boy is equivalent to the distance from the tip of the shadow to the base of the lamp to the height of the lamp
Let s represent the height of the shadow, we get;
l/1.2 = (6 + l)/4.2
4.2·l = 7.2 + 1.2·l
4.2·l - 1.2·l = 7.2
l·(4.2 - 1.2) = 7.2
l = 7.2/(4.2 - 1.2) = 2.4
The length of the shadow of the boy cast by the lamp is; 2.4 metersThe angle of elevation of the lamp from the boy, θ, can be calculated as follows;
tan(θ) = (4.2 - 1.2)/6 = 0.5
θ = arctan(0.5) ≈ 27°
The first part of the question includes the length of the shadow of the boy cast by the lamp
Learn more on similar triangles here: https://brainly.com/question/30104125
#SPJ1
lmk lmk i need answer asap
Answer:
5+9=9+5
Step-by-step explanation:
Because ethier way it will be 14, but idl dont take my word yet...
Answer:
The answer is C
Step-by-step explanation:
21+21=42
Round to the nearest
whole number 703.511
Answer:
704
Step-by-step explanation:
Consider the following data set:
2 , − 3 , − 3 , 1 , 8 , 12 , 14 , 2
Find the lower quartile.
Answer:
-3, -3, 1, 2, | 2, 8, 12, 14
Lower quartile is negative 1
Because the middle number is the median because there is an odd set of numbers.
To find the quartile you have to arrange the numbers from lowest to highest.
When you find middle number you have to find the half of the lower half of the middle, which you will solve the lower quartile. Since there are even numbers you add the two middle numbers and divide it by 2. And you'll get the answer hope that helped
Help me please this is due please help
Answer: 4/6 and 6/9
Step-by-step explanation:
Answer:
B.
C.
Step-by-step explanation:
B.
2 x 3 6
-------- = ---------
3 x 3 9
C.
2 x 2 4
-------- = ----------
3 x 2 6
help me please it will bring my grade up
Answer:
40
Step-by-step explanation:
Area = Base * height
A = 8 * 5
A = 40
Answer:
40
Step-by-step explanation:
A=b×perpendicular height
=8×5
=40
I NEED THIS ASAP
Jon drives a total of 38 miles each day to take his children to and from school. The children go to school 5 days a week. Jon's vehicle gets 29 miles per gallon of gas. About how many gallons of gas does Jon need to take his children to and from school each week?
Answer:
7 gallons
Step-by-step explanation:
38*5= 190
190/29
6.551
= 7
ve makes successive calls to potential customers, and the result of each call is recorded as a sale (s) or a no sale (n). calls are continued until either two successive sales are made, two calls result in no sale (these calls need not be consecutive), or a total of 4 calls is made. what is the sample space for this situation.
The sample space for this situation consists of all possible outcomes of the four calls. It can be represented by a set, a tree diagram, or a table.
The sample space for this situation can be represented by the set of all possible outcomes of the 4 calls: S = { nnnn, nnn s, nnsn, nnss, nsnn, nsns, nssn, nsss, snnn, snns, snsn, snss, ssnn, ssns, sssn, ssss }.
The sample space can also be represented by a tree diagram. The top of the tree diagram represents the start of the calls, and each branch splits into two possible outcomes: sale or no sale. The sample space consists of all possible paths through the tree, including the path that contains two successive sales and the path that contains two successive no sales.
For example, the path { nnnn } represents the outcome of four consecutive no sales. The path { ssss } represents four consecutive sales. The path { nnss } represents two successive no sales followed by two successive sales.
The sample space can also be represented by a table. The table consists of four columns, each representing a call. The rows represent the possible outcomes of the four calls. For example, the row { nnnn } represents four consecutive no sales. The row { ssss } represents four consecutive sales. The row { nnss } represents two successive no sales followed by two successive sales.
Overall, the sample space for this situation consists of all possible outcomes of the four calls. It can be represented by a set, a tree diagram, or a table.
Learn more about sample space here:
https://brainly.com/question/28043513
#SPJ4
the satellite is in the shape of a rectangular prism. which polynomial represents the volume of the satellite? a rectangular prism with length 4 x minus 3 feet, a width of x plus 1 feet, and a height of x plus 2 feet.
The volume of the rectangular prism will be (4x - 3)(x + 1)( x+2) cubic feet.
What is the volume?The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.
Given that the length, width, and height of the rectangular prism are,
The volume of the rectangular prism will be calculated as,
Volume = Length x width x Height
Volume = (4x - 3)(x + 1)( x+2) cubic feet
Therefore, the polynomial for the volume will be (4x - 3)(x + 1)( x+2) cubic feet.
To know more about volume follow
brainly.com/question/24284033
#SPJ1
If the 13th unit processed requires 87.00 minutes and the 26th unit requires 64.00 minutes, how much time would you estimate the 50th unit requires? (round to nearest whole number)
a. 35 minutes
b. 48 minutes
c. 18 minutes
d. 55 minutes
e. 40 minutes
The nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.
Given the 13th unit requires 87 minutes and 26th unit requires 64 minutes.To find the estimated time required by the 50th unit, we need to use the equation of the linear equation of the line.Let's find the value of m (slope).`m = (64 - 87)/(26 - 13)m = -23/13`Let's find the value of b (y-intercept).`b = 87 - (-23/13) × 13b = 87 + 23b = 110`
Therefore, the equation of the line can be written as:y = -23/13 x + 110Let's substitute the value of x as 50 and find the value of y (time required by the 50th unit).`y = -23/13 × 50 + 110y = 47.31`Rounded to the nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.
To know more about linear equation refer to
https://brainly.com/question/32634451
#SPJ11
Solve:
Picture attached
Answer:
24
Step-by-step explanation:
10x -3 = -33
please help lol
Answer:
-3
Step-by-step explanation:
10x=-33+3 isolate the variable
10x=-30 divide by 10
X=-3
x=-3
Solution:First, add 3 to both sides:10x-3=-3310x=-33+310x=-30Now, divide both sides by 10:x=-3The value of x=-3Hope it helps.
Do comment if you have any query.