Based on Madison's equation, the y-value is equal to 8.5.
How to find the y-value?In Mathematics, a function is typically used for uniquely mapping an independent value (input variable or domain) to a dependent value (range or output variable).
In order to use the given function to determine the value of y (y-value), we would have to substitute the values of x (x-value or domain) into the function and then evaluate as follows;
y = 0.5x² + 4
y = 0.5(-3)² + 4
y = 0.5(9) + 4
y = 4.5 + 4
y = 8.5.
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Assume Bank A received an initial deposit of $6000, Bank B received an initial
deposit of $10,000, and Bank C received an initial deposit of $2000. Each kept a
percentage of the money deposited in reserve based on the reserve rate and
loaned out the rest, and the amount each loaned out was eventually all deposited
back into the bank. This cycle continued indefinitely for all three banks. A list of
initial deposits, money multipliers, reserve rates, and total amounts deposited is
shown below.
(6 points: Part 1 - 2 points; Part II - 2 points; Part III - 2 points)
Initial Deposits: $6000; $10,000; $2000
Money Multipliers: 50, 25, 20
Reserve Rates: 5%; 2%; 4%
Total Amount Deposited: $100,000; $200,000; $150,000
Part 1: Choose the initial deposit, money multiplier, reserve rate, and total amount
deposited that would make sense for Bank A. Justify your answer.
A deposit is a term used to describe the process of depositing money into a bank account for protection. The depositor acquires ownership of the funds and is eligible for interest on the remaining balance whether the deposit is made with cash, cheques, or other financial instruments.
What is the initial deposit, money multiplier, reserve rate, and total amount deposited that would make sense for Bank?For Bank A, the initial deposit, money multiplier, reserve rate, and total amount deposited that would make sense are:
Initial Deposit: $6000
Money Multiplier: 50
Reserve Rate: 5%
Total Amount Deposited: $100,000
Justification:
The initial deposit of $6000 is consistent with the information given in the problem statement.
The money multiplier of 50 is within the range of typical money multipliers for banks, which are typically in the range of 10-60, depending on the reserve rate.
The reserve rate of 5% is consistent with industry standards, which typically range from 0-10%.
The total amount deposited of $100,000 is consistent with the initial deposit of $6000 and the money multiplier of 50.
Given these values, we can calculate the amount loaned out by Bank A as follows:
Loan Amount = Initial Deposit * (1 - Reserve Rate) * Money Multiplier
Loan Amount = $6000 * (1 - 0.05) * 50 = $285,000
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On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window? (4 points)
An isosceles trapezoid with top side 12 inches long and a longer bottom side. The height is 13 inches. The base of the triangle formed from the height on the right is labeled 2 inches.
The area of the trapezoid is 188.5 inches²
What is a trapezium in maths?A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs. A trapezium can also have parallel legs.
Given here: A trapezoidal window with top side 12 inches and height 13 inches
And The base of the triangle formed from the height on the right is labeled 2 inches.
Thus the length of the longer side is equal to 13+2+2=17
Hence, The area of the trapezoid is = 1/2 × (12+17)×13
A= 188.5 inches²
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triangle def with vertices d (0,6) e (3,5) and f (1,1)
The vertices of the triangle DEF after rotating 90° Counter-clockwise about (5, 2) are:
D' = (-4, -5)
E' = (-3, -2)
F' = (1, -4)
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangle DEF with vertices:
D = (0,6)
E = (3,5)
F = (1,1)
Now,
90° Counter-clockwise rotation formula.
(x, y) → (-y, x)
Now,
Rotating 90° Counter-clockwise about (5, 2).
Step 1:
Subtract 5 and 2 with their respective coordinates.
D' = (0 - 5, 6 - 2) = (-5, 4)
E' = (3 - 5, 5 - 2) = (-2, 3)
F' = (1 - 5, 1 - 2) = (-4, -1)
Step 2:
Apply (x, y) → (-y, x) on D'E'F'.
D' = (-5, 4) = (-4, -5)
E' = (-2, 3) = (-3, -2)
F' = (-4, -1) = (1, -4)
Thus,
D' = (-4, -5)
E' = (-3, -2)
F' = (1, -4)
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The complete question image is added.
fill in the blank. suppose that you observe that when the price of cigarettes rises by 10%, the quantity of cigarettes purchased falls by 8.7%. this implies that cigarettes are price___in demand and that the price elasticity of demand is equal to___.
Suppose that you observe that when the price of cigarettes rises by 10%, the quantity of cigarettes purchased falls by 8.7%. this implies that cigarettes are price inelastic in demand and that the price elasticity of demand is equal to 0.87.
The degree to which use of a product changes in response to changes in its price is known as price elasticity of demand. If a product's price elasticity of demand were extremely low, or even zero, then demand would only barely increase or decrease in reaction to price changes.
For instance, if a good's price elasticity was roughly -0.1, then only 0.1% of a price rise would result in a decrease in demand for that good.For every 10% increase in price, demand would decrease by 1%, by 2% for a 20% increase, and so on. In reaction to price rises, demand for a good with high price elasticity would decline considerably more dramatically.If price elasticity of demand for a good were about 1.0, then demand for that good would fall by 1% for every 1% increase in price. For every 10% price increase, demand would decrease by 10%, by 20% for a 20% price increase, by 100% for a 100% price increase, and so on.
Hence, it implies that cigarettes are price inelastic in demand and that the price elasticity of demand is equal to 0.87.
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If the scale on the map is 3/4 inch = 2. what is the actual distance of 1 1/2
The actual distance of [tex]1\frac{1}{2}[/tex] or 3/2 is 4 unit.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Given:
The scale on the map is 3/4 inch = 2.
So, the actual distance of [tex]1\frac{1}{2}[/tex] or 3/2,
= 2 x 2
= 4 unit.
Therefore, the distance is 4 unit.
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Maria made $35,000 in taxable income last year.
Suppose the Income tax rate is 15% for the first $9500 plus 17% for the amount over $9500.
How much must Maria pay in income tax for last year?
Maria pay $3,040 in income tax for last year.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Maria made $35,000 in taxable income last year.
Here, The Income tax rate is 15% for the first $9500 plus 17% for the amount over $9500.
Hence, The income tax is,
⇒ 15% of 9500 + 17% of 9500
⇒ 15/100 × $9500 + 17/100 × $9500
⇒ $1425 + $1625
⇒ $3,040
Thus, Maria pay $3,040 in income tax for last year.
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testing flint's water ap stats according to epa refulations, if more than 10% homes unsafe significance test for a population proportion
False. If more than 10% of his high-risk homes exceed this limit, the Water Framework will need to take action.
EPA's lead and copper rule specifies a maximum cutoff of 15 for each billion (ppb) of lead in drinking water. If 10% or more of high-risk household tap water tests exceed this activity level, the water framework is considered in violation of the standard and will do everything possible to reduce lead levels. is needed. This does not guarantee that your water supply will be considered "hazardous," but it does mean that it exceeds the most extreme limits for lead proposed by the EPA.
The EPA requires lead levels in waterframes to be kept below 15 ppb to limit potential health risks.
This 10% of leads is called "Activity Level". EPA suggests that water frames respond to lead levels below 15 ppb to limit potential health opportunities, but assumes levels above 15 ppb are not considered hazardous. increase
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The complete question is:
According to EPA regulations, if more than 10%of homes in a city have high lead content in their water(>15 parts per billion), the city’s water supply is unsafe?
1. Find Sn for the arithmetic series where a1= 3 , an= 42 , n= 14
2. Find sn for the arithmetic series where a1= −20 , n= 25 , an= 148
3. Find sn for the arithmetic series where a1= 5 , d= 1/2 , n= 13
Answer:
Sn for an arithmetic series can be found using the formula: Sn = (n/2) * (a1 + an). In this case, we have:
a1 = 3, an = 42, n = 14
Sn = (14/2) * (3 + 42) = (14/2) * 45 = 315
Sn for an arithmetic series can be found using the formula: Sn = (n/2) * (a1 + an). In this case, we have:
a1 = -20, an = 148, n = 25
Sn = (25/2) * (-20 + 148) = (25/2) * 64 = 800
Sn for an arithmetic series can be found using the formula: Sn = n/2 * (2a1 + (n-1)d) where d is the common difference. In this case, we have:
a1 = 5, n = 13, d = 1/2
Sn = 13/2 * (2 * 5 + (13 - 1) * 1/2) = 13/2 * (10 + 12/2) = 13/2 * (10 + 6) = 13/2 * 16 = 104
So for the series with the given parameters, Sn = 104.
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what is the answer for this equation
5,127 X 4,265
Answer:
21,866,655ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer: 21866655
Step-by-step explanation:
Need help on this please for number 5
if f(x) = (x-2)² and g(x) = (x-2)² -7, to get g, we shift f to the down
What is transformation change?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
The general formula of transformations is given as f(x) = a(bx − h)n + k.
Where h is the horizontal change and k is the vertical change
therefore if f(x) = (x-2)² and g(x) = (x-2)² -7,
k = -7
therefore to get f(x) we shift g(x) down
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Find the solution set for |3q-2|=7 .
Here is the website for your answer
your welcome
Let N be the number of data entries in a population and n be the number of data entries in a sample data set. Choose the correct answer below. When calculating the population standard deviation, the sum of the squared deviation is divided by N When calculating the sample standard deviation, the sum of the squared deviations is divided by n - 1 When calculating the population standard deviation, the sum of the squared deviation by N, then the squareroot of the result is taken. When calculating the sample standard deviation, the sum of the squared deviations is divided by n - 1, then the squareroot of the result is taken. When calculating the population standard deviation, the sum of the squared deviation is divided by the number of entries, N - 1 then the squareroot of the result is taken. When calculating the sample standard deviation, the sum of the squared deviations is divided by the squareroot of result is taken. When calculating the population standard deviation, the sum of the squared deviation is divided by N - 1. When calculating the sample standard deviation, the sum of the squared deviations is divided by n.
When calculating the population standard deviation, the sum of the squared deviation is divided by N and then the square root of the result is taken.
When calculating the sample standard deviation, the sum of the squared deviations is divided by n - 1 and then the square root of the result is taken.
The sum of the squared deviation is often divided by N, the population's data entry count, for calculating any population standard deviation. After that, the result's square root would be calculated.
The total of the squared deviations is typically divided by n – 1, where n is the number of entries in the sample data set, when calculating the sample standard deviation, on the other hand. After that, the result's square root would be calculated.
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the registration fee for a used car is 0.59% how much is the registration fee if i buy a used car
Answer:
Step-by-step explanation:
The registration fee for a used car is 0.59% of the car's cost. To find the registration fee for a specific car, you would multiply the cost of the car by 0.0059 (0.59% as a decimal). For example, if the cost of the used car is $10,000, the registration fee would be:
$10,000 * 0.0059 = $59
So the registration fee for a used car costing $10,000 would be $59.
Find the area of the region bounded by the line y=3x-6, the line y=-2x+8 and the y axis.
Let X be uniformly distributed on [0, 1] and F be any continuous c.d.f. Show that the c.d.f. of Y = F−1(X) is F.
Let's say that F(y) = P(Y <= y), then F(F^-1(x)) = P(F^-1(X) <= F^-1(x)) = P(X <= x), which means F(F^-1(x)) = x, since X is uniformly distributed on [0,1].
What is a uniformly distributed function?In mathematics, a uniformly distributed function is a function whose values are randomly distributed over a defined interval or set, such that any value within the interval or set has equal probability of being selected. A uniform distribution is a type of probability distribution where all values in the range have equal probability of occurring
Therefore, the c.d.f. of Y = F^-1(X) is F.
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Find the next three terms
-100, -40, -16, -6.4
The next three terms are -2.56, -1.024 and -0.4096
How to determine thenext three termsThe definition of the function is given as
Sequence -100, -40, -16, -6.4
The above definitions imply that we simply multiply 0.4 to the previous term to get the current term
Using the above as a guide,
so, we have the following representation
Next term = -6.4 * 0.4 = -2.56
Next term = -2.56 * 0.4 = -1.024
Next term = -1.024 * 0.4 = -0.4096
This means tat the next three terms are -2.56, -1.024 and -0.4096
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In the system of equations shown, c is an integer. for what minimum value of c does the system have exactly two distinct solutions
y=3(x-1)^2 +4
y=-2(x-1)^2 + c
The minimum value of c such that the system has exactly two distinct solutions is 4. When c=4, the two parabolic equations intersect at exactly two points (1, 4) and (x, y), which are the two distinct solutions.
13
Which is the correct input-output table for the function f(z) = +4?
O A.
OB.
O C.
OD.
23 Edmentum. All rights reserved.
Input (x)
Output f(x)
Input (x)
Output f(x)
Input (x)
Output f(x)
-3 -2 1 2 3
-1.5 -2
-3 -2 1 2 3
7 5.5
32.5
5 3.5 3
-11.5
-3 -2 1 2 3
5
5 7 7.5
Input (x)
Output f(x) 1 4 3.5
-3 -2 1 2 3
64.5
Reset
Next
Answer:
A
Step-by-step explanation:
The correct input-output table for the function f(z) = 4 is option A:
Input (x) | Output f(x)
-3 | 4
-2 | 4
1 | 4
2 | 4
3 | 4
Answer: A
Step-by-step explanation:
1) Here is a balanced hanger diagram.
A circle weighs 3 grams and a square weighs 2 grams. What is the weight of a triangle?
Justify your answer using an equation or explanation.
Answer:
Step-by-step explanation:
The hanger shows a total weight of 7 units on one side that is balanced with 3 equal, unknown weights and a 1-unit weight on the other. An equation that represents the relationship is . We can remove a weight of 1 unit from each side and the hanger will stay balanced.
give the number of terms in the algebraic expression and also give the numerical coefficient of the second term. -3a+30b
Answer:
Step-by-step explanation:
1
Module 4 Topic B Quiz Practice
2 points
Maya solves a linear equation. The final two steps of her work are shown.
5x+7 = -5x+7
10x = 0
The equation has infinitely many solutions because 5x = 5x is true for any value of x.
The equation has two solutions, 7 and -7.
The equation has no solution because 7 = -7 is a false equation.
The equation has only one solution, O.
The linear equation Maya solves, 5·x + 7 = -5·x + 7, indicates that we get x = 0. The correct option is therefore;
The equation has only one solution, 0What is a linear equation?A linear equation is an equation of the form; y = m·x + c, where, m is the slope and c is the y-value of the intercept of the graph of the equation with y-axis, known as the y-intercept.
The specified equation can be presented as follows;
5·x + 7 = -5·x + 7
Adding 5·x to both sides of the equation, we get;
5·x + 5·x + 7 = -5·x + 5·x + 7
Collecting and adding like terms, is obtained as follows;
10·x + 7 = 0 + 7
Adding 7 to both sides of the equation, we get;
10·x + 7 - 7 = 0 + 7 - 7
10·x + 0 = 0 + 0 = 0
10·x = 0
x = 0/10 = 0
x = 0
Therefore; the equation has only one solution, x = 0
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2x-y > -1
X -3y > - 11
3x+4y < 40
X > 0 , y >0
The values of the inequalities are: -1, -1/2 (2) -11/3, -11 (3) 10 and 40/3 respectively
What is an inequality?Inequality is a mathematical statement in mathematics or logic that two quantities usually separated by a special sign (as <, >, or ≠ respectively meaning "is less than," "is greater than," or "is not equal to") are not equal
1) 2x-y > -1 ........................1
X -3y > - 11 ........................ii
3x+4y < 40
From the set of inequalities, if X > 0 , y >0
In equation 1
1) 2x-y > -1 ........................1
When x>0
2(0)-y>-1
This implies that -y>-1
Therefore y <1
When y >0
2x-0>-1
x>-1/2
From equation 11
X -3y > - 11
When x>0
0-3y>-11
This means that y<11/3
When y>0
x-0>-11
Therefore x>-11
From equation 3
3x+4y < 40
When x>0
3(0(+4y<40
4y<40
y<10
When y <0
Therefore 3x+0<40
Therefore x<40/3
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Below you will find pairs of statements A and B. For each pair, please indicate which of the following three sentences are true and which are false: 1. If A, then B. 2. If B. then A. 3. A if and only if B.
1. If A, then B: True. 2. If B, then A: False. 3. A if and only if B: True. A and B must both be true for the third statement to be true.
In this scenario, we are presented with a pair of statements A and B. For each pair, we must determine if the following three sentences are true or false: 1. If A, then B. 2. If B, then A. 3. A if and only if B. The first statement is true if statement A is true and statement B is true. The second statement is false if statement A is true and statement B is false. The third statement is true if both statements A and B are true. To determine this, we must consider both statements A and B to see if they are both true or false. If both are true, then statement 3 is also true. If either statement A or B is false, then statement 3 is false. Therefore, if both statements A and B are true, then the third statement is true, otherwise, it is false.
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The cost of a car rental is $35 per day plus 18c per mile. You are on a daily budget of $71. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer:
Step-by-step explanation:
35 + 0.18 *x miles ≤ 71
x ≤ 200
0.18 *x miles ≤ 71 - 35
35≤ 71 - 0.18 *x miles
If you buy a car wash at the gas station for $6.00, the cost per gallon is $2.35. If you have $40, write and solve a linear equation to find the number of gallons of gas you can afford.
A survey of 518 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night. It found:
175 watched TV
181 hung out with friends
39 watched TV and ate pizza, but did not hang out with friends
26 watched TV and hung out with friends, but did not eat pizza
39 hung out with friends and ate pizza, but did not watch TV
42 watched TV, hung out with friends, and ate pizza
66 did not do any of these three activities
How may 18-24 year olds (of these three activities) only ate pizza last Friday night?
There are 284 adults who ate pizza.
What are sets?The way that sets are represented by a person is always the same: as a group of clearly defined objects or elements. A capital letter designates a set. The cardinal number of a set is the number of elements in the finite set.
Given A survey of 518 adults,
let T denote TV, H for out with friends, and P for pizza
and given, n(T ∪ H ∪ P) = 518
n(T) = 175, n(H) = 181
n(P) = to find
TP = 39, TH = 26
FP = 39, n(TPH) = 42
n(TP) = 39 + 42 = 81
n(TH) = 26 + 42 = 68
n(HP) = 39 + 42 = 81
using the formula of triple intersection,
n(T U H U P) = n(T) + n(H) + n(P) - n(TH) - n(TP) - n(HP) + n(TPH).
518 - 66 = 175 + 181 + n(P) - 81 - 68 - 81 + 42
n(P) = 452 - 168
n(P) = 284
Hence 284 people ate only pizza.
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find the maximum value of the function f(x)=-1.8x^2+7x-11 to the nearest hundredth.
The maximum value of the function f (x) = -1.8x² + 7x - 11 to the nearest hundredth is, - 4.19.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is,
⇒ f (x) = -1.8x² + 7x - 11
Now, We can differentiate with respect to x as;
⇒ f ' (x) = - 1.8 × 2x + 7 × 1 - 0
⇒ f ' (x) = - 3.6x + 7
Put f ' (x) = 0
⇒ - 3.6x + 7 = 0
⇒ 3.6x = 7
⇒ x = 1.94
Now, Again differentiate with respect to x as;
⇒ f ' (x) = - 3.6x + 7
⇒ f '' (x) = - 3.6 × 1 + 0
⇒ f '' (x) = - 3.6 < 0
Hence, Substitute x = 1.94 in function to get maximum value,
⇒ f (x) = -1.8x² + 7x - 11
⇒ f (x) = -1.8 (1.94)² + 7 × 1.94 - 11
⇒f (x) = - 6.77 + 13.58 - 11
⇒ f (x) = - 4.19
Thus, The maximum value = - 4.19
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I’m stuck on this question
Answer:
312
Step-by-step explanation:
Add the area of each face together
Don't forget the units!
Step-by-step explanation:To find the surface aria, you use the 3 numbers to find the aria of each surface, then add up all the numbers you found.
Let's start by finding the right face (12 by 3). From your picture, we can tell its 12m long, and 3m tall. To find the aria of any face, we multiply the length, times the width.
12 x 3 = 36.
Now let's look at where it says 8m. Since that face is just as tall as the first one, we can tell its 3m tall.
8 x 3 = 24.
We can continue this for the top face.
Since the width of the second face we did is 8m, and the width of the first one is 12m, we can tell that the top one is 8 x 12. (96).
We can do this again for the other 3 sides.
A shortcut i like to take, is to do 3 of the sides, (Like the ones we did) and add them together, then double the sum.
36+24+96=156.
156x2=312.
This shortcut should work, because by adding the aria of half the sides together, we get exactly half the answer.
When doing this, it only works to do 3 different sides. it will not work if you do the same side twice, or a parallel side.
I encourage you to let me know if this method works for you! I hope this helps!
Which of the following is an arithmetic sequence where a1 = 14 and d = −3?
The arithmetic sequence is A = 14 , 11 , 8 , 5 , ...
What is Arithmetic Progression?An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the arithmetic sequence be represented as A
Now , the equation will be
The first term of the AP is a₁ = 14
The common difference of the AP is d = -3
So , the second term of the AP is a₂ = a + d
a₂ = 14 - 3 = 11
The third term of the AP is a₃ = a + 2d
a₃ = 14 - ( 6 ) = 8
The fourth term of the AP is a₄ = a + 3d
a₄ = 14 - ( 9 ) = 5
Therefore , the value of A is A = 14 , 11 , 8 , 5 ...
Hence , the AP is solved
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Answer:
14, 11, 8, 5, . .
Step by-step explanation:
got it right on test
Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression. Write the algebraic expression that Danielle should write. Type your expression with no spaces.
Answer: the reasonable answer for this expression would be 2x-4
Explanation: please give brainliest.