5x-y=1/4 write in slope-intercept form
The slope intercept form of the given equation is,
y = 5x - 1/4
Given an equation of a line as,
5x - y = 1/4
We have to write the equation of the line in slope intercept form.
Equation of the line in slope intercept form is,
y = mx + c
Here m is the slope and c is the y intercept.
Rearranging the given equation,
5x = y + 1/4
5x - 1/4 = y
or,
y = 5x - 1/4
Hence the slope intercept form is y = 5x - 1/4.
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At a baseball game, 56% of people attending were supporting the home team, while 44% were supporting the visiting team. If the total number of people attending the game was 3000, how many people attending were supporters of the home team?
Answer: 1680
Step-by-step explanation:The answer is 1680 because 56 percent of 3000 is 1680 people and 44 percent of 3000 is 1320 people
So each pattern will contain odd numbers?
identify the x-values for which f(x)>-2
It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.
How to explain the information?It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.
In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.
The graph is attached below.
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The triangle is congruent by which triangle congruence theorem ?
SSS
ASA
SAS
Answer:
SAS
Step-by-step explanation:
Proof:
Side AB ≅ DB (Given)
∠ABC ≅ DBC (Given)
Side BC ≅ Side BC (Reflexive Property of Congruence).
ΔABC ≅ ΔDBC (CPCTC)
~
Find an equation for the line below.
Answer:
f(x) = -5/3x + 5/3
Step-by-step explanation:
if x = 4 ; f(x) = -5
if x = -2 ; f(x) = 5
f(x) = ax + b
-5 = 4a + b (1)
and
5 = -2a + b (2)
(1) + (2)
2a + 2b = 0
a = -b
(1) -5 = 4a - a
-5 = 3a
a = -5/3
Answer :
f(x) = -5/3x + 5/3
What is the meaning of "The usual notation makes this identification transparent by writing every sequence (x1, x2, ..., xn) as a product or word x1x2· · · xn in the alphabet X"?
The statement refers to the way that symbols are represented in sequences, a common practice in formal language theory, by employing a notation that makes symbols a part of the sequence.
How is sequence notation and language related?In formal language theory, a language is often defined as a set of strings over an alphabet. By representing any alphabetic sequence of symbols as a single string using the notation outlined in the statement, we are able to recognise the language that comprises that sequence as a collection of strings. A subset of the language having all possible strings over the alphabet (a, b, and c) is the set of strings abc, which may be used to represent the language including the sequence (a, b, and c). So, this notation offers an easy approach to discuss languages and the sequences that make up such languages.
Hence, the statement relates the symbols and sequences.
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Roll one-8 sided die 10 times. The probability of getting exactly 3 sevens in those 10 rolls is given by .
The binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.
Given: Roll an 8-sided die 10 times and to find the probability of getting exactly 3 sevens in those 10 rolls.
Formula: The probability of getting exactly "k" successes in "n" trials of an event with a probability "p" of success in a single trial is given by the binomial probability formula:
P(k successes in n trials) = \(C(n , k) * p^k * (1 - p)^{(n - k)}\)
where:
C (n , k) represents the number of combinations of "n" things taken "k" at a time, and p is the probability of success in a single trial.Step1
Calculate the probability of rolling a seven on an 8-sided die (p).
Since there is 1 "success" outcome (rolling a seven) out of 8 possible outcomes (8-sided die),
p = 1/8.
Step 2
Plug the values into the binomial probability formula for getting exactly 3 sevens in 10 rolls:
P(3 sevens in 10 rolls) = \(C(10, 3) * (1/8)^3 * (1 - 1/8)^{(10 - 3)}\)
On subtracting gives:
=C(10, 3) * (1/8)^3 * (7/8)^{7}
Plugging the value of C(10,3) = 120 in the above equation:
= 120 * (1/8)^3 * (7/8)^{7}
Step 3:
Calculate the final answer using the formula:
P(3 sevens in 10 rolls) = 120 * (1/512) * (343/512)
≈ 0.0142
Therefore, the binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.
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Mike can stitch 7 shirts in 42 hours
He can stitch 1 shirt in hours, and in 1 hour he can stitch of a shirt
Answer:
He stitched 1 shirt in 6 hours.
He can stitch 1/6 of a shirt in one hour
Step-by-step explanation:
Given Mike can stitch 7 shirts in 42 hours
No. of shirt stitch in one hour = total no of shirt stitch/total time taken
No. of shirt stitch in one hour = 7/42 = 1/6
Thus, he can stitch 1/6 of a shirt in one hour
Time taken to stitch 1 shirt = total time taken by him to stitch 7 shirts/ total no. of shirt stitch(i.e 7) = 42/6 = 6 hours.
Thus, he stitched 1 shirt in 6 hours.
Answer:
He can stitch 1/6 of a shirt in one hour
Step-by-step explanation:
Because he stitched 7 shirts in 42 hours
42/7 = 6
so 6 hours per shirt
In one hour:
1/6
on the July 7 billing date, Marvin had a balance due of $216.71 on his credit card. the transactions during the following month were
July 14 office supplies $52.04 July 17 scarf $15.66
July 21 payment of $100
July 24 charge: toy truck $44.03
the interest rate on the card is 1.25% per month. using the previous balance method find the finance charge on August 7 then find the new balance of August 7.
simple interest formula i=prt
Answer:
The first step is to calculate the average daily balance for the billing cycle. This is done by adding up the daily balances for each day of the billing cycle and then dividing by the number of days in the billing cycle. In this case, the billing cycle is from July 7 to August 6, so there are 31 days in the billing cycle.
The daily balances are as follows:
* July 7: $216.71
* July 14: $268.75
* July 17: $284.37
* July 21: $116.71
* July 24: $260.74
The average daily balance is therefore $226.81.
The next step is to calculate the finance charge. This is done by multiplying the average daily balance by the interest rate and then by the number of days in the billing cycle. In this case, the interest rate is 1.25% and the number of days in the billing cycle is 31 days.
The finance charge is therefore $7.43.
The final step is to calculate the new balance. This is done by adding the finance charge to the previous balance. In this case, the previous balance is $216.71 and the finance charge is $7.43. The new balance is therefore $224.14.
Here is the solution in mathematical form:
* Average daily balance = (216.71 + 268.75 + 284.37 + 116.71 + 260.74) / 31 = 226.81
* Finance charge = 226.81 * 0.0125 * 31 = 7.43
* New balance = 216.71 + 7.43 = 224.14
Step-by-step explanation:
What is the solution to the equation 1/4x+2=-5/8x-5?
O X=-8
O X=-7
O X=7
O X=8
Answer:
The solution to the equation \(\frac{1}{4}x+2=\frac{-5}{8}x-5\) is \(\mathbf{x=-8}\)
Option A is correct option.
Step-by-step explanation:
What is the solution to the equation \(\frac{1}{4}x+2=\frac{-5}{8}x-5\)
Solving the equation
\(\frac{1}{4}x+2=\frac{-5}{8}x-5\)
Subtracting 2 on both sides
\(\frac{1}{4}x+2-2=\frac{-5}{8}x-5-2\\\frac{1}{4}x=\frac{-5}{8}x-7\)
Adding 5/8x on both sides
\(\frac{1}{4}x+\frac{5}{8}x=\frac{-5}{8}x-7+\frac{5}{8}x\\\frac{2x+5x}{8}=-7 \\\frac{7x}{8}=-7\)
Multiply both sides by 8/7
\(\frac{7x}{8}\times \frac{8}{7}=-7 \times \frac{8}{7}\\x=-8\)
So, we get x = -8
The solution to the equation \(\frac{1}{4}x+2=\frac{-5}{8}x-5\) is \(\mathbf{x=-8}\)
Option A is correct option.
Suppose that $7500 is placed in an account that pays 6% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year.
(b) Find the amount in the account at the end of 2 years
a) The compounded amount in the account at the end of 1 year is $7,950.
b) The compounded amount in the account at the end of 2 years is $8,427.
What is compound interest?Compound interest is the interest added to the principal amount after each period in order to compute the period's interest.
By compounding, we mean that accumulated interest is added to the principal to compute the subsequent interest.
Compound interest is unlike simple interest, which does not compound interest.
The compound interest formula is:
A = P(1 + r/n)^nt
A = Final amount
P = initial principal balance
r = interest rate
n = number of times interest is applied per time period
t = number of time periods elapsed
Since this investment is compounding annually, we can find the final amount at the end of each year using the common formula as follows:
A = P(1 + r)ⁿ
Principal = $7,500
Compound interest rate = 6%
Compounding period = Annually
Amount at the end of Year 1 = $7,950 ($7,500 x 1.06¹)
Amount at the end of Year 2 = $8,427 ($7,500 x 1.06²)
Thus, the compounded amount at the end of year 1 is $7,950 and $8,427 at the end of year 2.
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Determine the leading coefficient of the polynomial graphed below.
The leading coefficient of the polynomial is 4.
The leading coefficient of a polynomial, we first need to understand what the leading term of the polynomial is.
The leading term is the term with the highest degree in the polynomial.
For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\(, the leading term is 3x^4.
To determine the leading coefficient of a polynomial, we simply look at the coefficient of the leading term. For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\), the leading coefficient is 3.
Now, let's apply this concept to the polynomial graphed below. From the graph, we can see that the polynomial has a degree of 2, meaning that the highest power of x in the polynomial is 2.
Therefore, the leading term of the polynomial is \(ax^2\), where a is the leading coefficient.
The vertex is the point on the graph where the polynomial reaches its maximum or minimum value. In this case, the vertex is located at \((-2, 4)\)
Since the vertex is the highest point on the graph, we know that the coefficient of x^2 must be positive.
In this case, the value of y at the vertex is 4.
Therefore, the leading coefficient of the polynomial is 4.
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The values in the table represent a function.
A 2-column table with 5 rows. The first column is labeled x with entries negative 6, 7, 4, 3, negative 5. The second column is labeled f of x with entries 8, 3, negative 5, negative 2, 12.
Use the drop-down menus to complete the statements.
The ordered pair given in the first row of the table can be written using function notation as
.
f(3) is
.
f(x) = –5 when x is
.
The correct answers are:
f(-6) = 8f(3) = -2f(x) = -5 when x is 4What is the function?Functions are expressions separated by an equal sign. They have both dependent and independent variables.
How to solve* Lets explain how to solve the problem
- The table of the function has two column
# First column labeled x with entries:
-6 , 7 , 4 , 3 , -5
# Second column labeled f(x) with entries:
8 , 3 , -5 , -2 , 12
∴ The ordered pairs of the function f(x) are:
(-6 , 8) , (7 , 3) , (4 , -5) , (3 , -2) , (-5 , 12)
* Lets complete the missing
∵ The value of x in the first row is -6
∵ The value of f(x) in the first row is 8
∴ The function notation in the 1st row is f(-6) = 8
- The ordered pair given in the first row of the table can be
written using function notation as f(-6) = 8
∵ The ordered pair whose x = 3 is (3 , -2)
∴ The value of f(x) when x = 3 is -2
∴ f(3) = -2
∵ The ordered pair whose f(x) = -5 is (4 , -5)
∴ The value of x when f(x) = -5 is 4
∴ f(x) = -5 when x is 4
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\(4(3w-2)=8(2w+3)\)
The most appropriate choice for linear equation will be given by -
w = -8 is the required answer
What is linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Here
\(4(3w - 2) = 8(2w+3)\\12w - 8 = 16w+24\\16w - 12w = -8-24\\4w = -32\\w = -\frac{32}{4}\\w = -8\)
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Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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if m < 3 = 126° , what is m < 5
Answer:
210.
Step-by-step explanation:
123/3=42
42 times 5 =210
What should you substitute for x in the second equation (bottom equation) in order to solve the system by the substitution method?
We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
The given system of equations are 2x-1/3y = -2...(1)
3x+y=1...(2)
We solve this system of equations by using substitution method.
Let us solve for x in equation to substitute it in equation (2).
2x=-2+1/3y
Divide both sides of equation by 2.
x=-1+1/6y
Now plug in the value of x in equation 2.
Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
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Use powers to rewrite these problems: Example: 5 x 5 = 52
a. 5 * 5 * x*x*x
b. 8*8*8 = 8^3
c. 4*4*4*x*x*x*x
let a 5 c 1 2 3 4 5 6 2 1 3 5 4 6 d and b c 1 2 3 4 5 6 6 1 2 4 3 5 d . compute each of the following. a. a21 b. ba c. ab
(A×B)∩(A×C)={(1,4),(2,4),(3,4)}
In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Sets are typically denoted by curly brackets; for instance, A = 1, 2, 3, 4 is a set. Check the set symbols here as well.
The various kinds of sets, symbols, and operations are described by the set theory.
Given,
A={1,2,3},B={3,4} and C={4,5,6}
A×B={(1,3),(1,4),(2,3),(2,4),(3,3),(3,4)}
A×C={(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)}
∴ (A×B)∩(A×C)={(1,4),(2,4),(3,4)}
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A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of
gold in each bracelet is 7 grams and the amount of gold in each necklace is 24 grams.
The jeweler used 172 grams of gold and made 2 more necklaces than bracelets. Write
a system of equations that could be used to determine the number of bracelets made
and the number of necklaces made. Define the variables that you use to write the
system.
Therefore , the solution of the given problem of variable comes out to be quantities (x) of both bracelets and necklaces (y).
What is a variable?A quality who can be assessed and expression assigned different values is called a variable. Variables include things like height, age, wages, province of birth, scholastic standing, and type of housing.
Here,
Assume that y is the number of necklaces made, and x is the number of bracelets produced.
Next, we can formulate the formulae in the following system:
=> 7x + 24y = 172 (the total amount of gold used was 172 grams)
=> y = x + 2 (there were 2 more necklaces made than bracelets)
The total quantity of gold used is shown in the first equation as the sum of the gold used in bracelets
=> (7x) and the gold used in necklaces (x). (24y).
Since there are y necklaces and x bracelets, we can write
=> y = x + 2 to represent the amount of necklaces.
a set of formulae that can be used to calculate the production quantities (x) of both bracelets and necklaces (y).
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Find the average of the list of numbers.
0, 13, 11, 2, -8, -6,9
-
The average is what help ply
What are the solutions to the equation 0=|3x+3|+3
Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.
To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.
First, let's isolate the absolute value term on one side of the equation:
|3x + 3| = -3
Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.
To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:
3x + 3 = -3
-(3x + 3) = -3
Solving equation 1:
3x + 3 = -3
3x = -6
x = -2
Solving equation 2:
-(3x + 3) = -3
-3x - 3 = -3
-3x = 0
x = 0
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Angus earns $8.80 an hour at his Saturday job and $7.50 per hour at his after school job. Last week he earned a total of $127.80. The hours he worked after school were four hours more than he worked on Saturday. How many hours did he work on Saturday?
Based on equations, Angus worked 6 hours on Saturday and 10 hours at his after-school job last week earning a total of $127.80.
How the hours are determined:The hourly rate at Angus' Saturday job = $8.80
The hourly rate at Angus' after-school job = $7.50
The total earnings last week = $127.80
Let the hours Angus worked at Saturday job = x
Let the hours Angus worked after-school = 4 + x
The total hours worked = x + x + 4
2x + 4
Equations:The total earnings last week 127.80 = 8.8x + 7.5x + 4 (7.5)
127.80 = 8.8x + 7.5x + 30
127.8 - 30 = 16.3x
Hours worked at Saturday Job:x = 6 hours
Hours worked at After-School Job:x + 4 = 10 hours
2x + 4 = 16 (12 + 4)
Check:
Earnings at Saturday job = $52.80 ($8.80 x 6)
Earnings at after-school job = $75.00 ($7.50 x 10)
Total earnings = $127.80
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HELP MEEEEEEEEEEEEEEEEEEEEE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 2.0431
Step-by-step explanation:
\(\log_{8} 70=\frac{\log 70}{\log 8} \approx 2.0431\)
Write an inequality to represent the situation.
six times a number and three is at least forty-two
six times a number and three is at most forty-two
six times a number and three is less than forty-two
six times a number and three is more than forty-two
6(n + 3) ≤ 42
6(n + 3) ≥ 42
6(n+3) > 42
6(n + 3) < 42
The inequality that represent each situations are:
a. 6(n + 3) ≥ 42.
b. 6(n + 3) ≤ 42
c. 6(n + 3) < 42
d. 6(n+3) > 42.
How to Write an Inequality for a Situation?To write the inequality for each of the situations, translate each statement into algebraic expressions and use the appropriate inequality sign where necessary.
Thus, let the unknown number be represented as n.
a. The statement, "at least 42" means not less 42, which is the same as "greater than or equal to 42".
Therefore, the first statement is represented by the inequality, 6(n + 3) ≥ 42.
b. "6 times n and 3 is at most 42" is written as, 6(n + 3) ≤ 42
c. "6 times n and 3 is less than 42" would be translated as: 6(n + 3) < 42
d. "6 times n and 3 is more than 42" would be, 6(n+3) > 42.
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Step-by-step explanation:
6(n+3)>42
this is your answer
arlynn
*) Match each description to the term that it represents.
the number of words made
3t
the number of tiles not used
10w
) the points earned from words made
1) the points taken away from tiles not used
W
Answer:
its 10w-3t+5
Step-by-step explanation:
Find the surface area for a sphere with a radius of 10 feet. Round to the nearest whole number.
A.1.256
B.4.189
C.1,089
D.1,568
Answer:
C is my answer
Thank You
Mark me as Brainilest Answer please ty
Which graph does not show a function? 6 2 -6 -20 4 -6 -4 1-2 2 -4 에 2. 2 -4 - 2 4 6 -6 - 2
What is the surface area of the right cylinder below?
Answer:
Ok to find the surface area of this cylinder first we need the circumference to find this we do C=πd
C=3.14*18
C=56.52
now we have to multiple this by the height of two
113.04
now we have to find the area of the bottom to do this we do A=πR^2
A=3.14*81
A=254.34
multiple this by two for the two sides we get
508.68
now we add this to 113.04 we get
621.72
since I used 3.14 instead of more digits of pie we can round this up so the answer is C.
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