Answer:
A) x=1
B) x= 3/4
C) x= 13
D) x=4
E) x=8
G) x=10
H) x=2
I) x=-6
K) x=3
N) x=9
O) x=7
P) x=-11
Q)x=5/8
R)x=12
S) x=11
T) x=6
Step-by-step explanation:
What's 5/6 ÷ 7/9 ÷ 8/9 ÷0/7
Answer: The expression is undefined.
Step-by-step explanation:
Division by zero is undefined in mathematics. In this expression, there is a division by zero in the term 0/7. Therefore, the entire expression is undefined.
A sample in a 1-cm cuvette is assessed with a spectrophotometer set to 620 nm. If the sample returns a transmittance of 62%, then what is the approximate absorbance of the sample?.
The absorbance of the given sample is 0.2076.
Length of the cuvette = 1 cm
Wavelength of the spectrophotometer = 620nm
Transmittance of the sample = 62%
We know, absorbance is related to transmittance by the formula written below;
A = log(1/T) equation 1
Also, percent transmittance %T = 100T
or we can write, T = (%T) / 100
On substituting value of T in equation 1 , we get
A = log(100/(%T))
⇒ A = log(100) - log (%T)
⇒ A = log(\(10^{2}\)) - log(%T)
⇒ A= 2log(10) - log(%T)
We know, log10 = 1. On substituting the value of log 10 in above equation, we get
A = 2 - log(%T)
⇒ A = 2 - log(62)
⇒ A = 2 - 1.7924
⇒ A = 0.2076
The absorbance of the given sample is 0.2076.
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HELP A GORL OUT PLEASE
Answer:B
Step-by-step explanation:
Consider a continuous random variable x, which is uniformly distributed between 65 and 85. The probability of x taking on a value between 75 to 90 is ________. 0.50 0.075 0.75 1.00
The probability of x taking on a value between 75 to 90 is 0.25.
Given that x is a continuous random variable uniformly distributed between 65 and 85.To find the probability that x lies between 75 and 90, we need to find the area under the curve between the values 75 and 85, and add to that the area under the curve between 85 and 90.
The curve represents a rectangular shape, the height of which is the maximum probability. So, the height is given by the formula height of the curve = 1/ (b-a) = 1/ (85-65) = 1/20.Area under the curve between 75 and 85 is = (85-75) * (1/20) = (10/20) = 0.5Area under the curve between 85 and 90 is = (90-85) * (1/20) = (5/20) = 0.25.
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Roberto compró 6 cd's y 10 revistas en $ 900.00 pesos; en la misma tienda su amiga María compró 10 cd's y 4
revistas en $ 1.220.00 pesos. ¿ Cual es el sistema de ecuaciones con dos incognitas que representa el problema?
The system of linear equation that represent this problem is
6x + 10y = 900
10x + 4y = 1220
What is the system of equation?Let's represent the number of CDs Roberto bought as x and the number of magazines as y
The problem states the following information:
Using the variables; x and y as given;
1. Roberto bought 6 CDs and 10 magazines for $900.00 pesos. This can be represented as the equation:
6x + 10y = 900
2. María bought 10 CDs and 4 magazines for $1,220.00 pesos. This can be represented as the equation:
10x + 4y = 1220
So, the system of equations representing the problem is:
6x + 10y = 900
10x + 4y = 1220
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Translation: Roberto bought 6 cd's and 10 magazines for $900.00 pesos; In the same store, her friend María bought 10 CDs and 4
magazines at $1,220.00 pesos. What is the system of equations with two unknowns that represents the problem?
Find the area of a parellelogram with base 32 cm and height 16.5cm
Answer:
A = 528
Step-by-step explanation:
Formula of the area of a parallelogram: A = b*h
A = 32 * 16.5
= 528
Answer: Area of Parellelogram = bxh
Base= 32cm
Height= 16.5cm
So,
Area of Parellelogram = 32cm x 16.5cm
= 528cm square
Step-by-step explanation:
boiling an egg physcal or chemcal
Answer:
it's a chemical change.
Step-by-step explanation:
a raw egg is converted into a hard boiled one by chemical changes happening inside it. Its also an irreversible change
#3 Mia has $50 on a gift card to her favorite *
coffee shop. Each time she visits the coffee
shop she spends $3.75 on her favorite drink.
Write an equation to represent the relationship
between n, the number of times she visits the
coffee shop, and b, the total balance on her
gift card
Find an equation of the plane tangent to the following surface at the given point. yze^(xz)-8=0; (0,-2,-4)
The equation of the plane tangent to the given surface at the point (0,-2,-4) is given by:
2x + 8y + 16z = -192.
To derive this equation, let's first recall the general equation of a plane, which is given by ax + by + cz + d = 0.
Since the plane is tangent to the surface, the plane passes through the given point (0,-2,-4). Substituting these values in the general equation of a plane, we get:
0 + 8(-2) + 16(-4) + d = 0
Solving for d gives us d = 192. Substituting this value in the general equation of a plane, we get:
ax + by + cz + 192 = 0
Since the given surface is given by yze^(xz)-8 = 0, we can calculate the partial derivatives of the given surface w.r.t. x, y, and z. This gives us:
2x + 8y + 16z = 0
Adding 192 to both sides gives us the required equation of the plane, which is 2x + 8y + 16z = -192.
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given h (x)=5x-3 find the value of h(-4)
Answer:
h(- 4) = - 23
Step-by-step explanation:
To evaluate h(- 4) substitute x = - 4 into h(x) , that is
h(- 4) = 5(- 4) - 3 = - 20 - 3 = - 23
h (-3) = 57
why does it keep saying to explain dis.... dont answer that
A(n) _____ leader is an individual who grows into the leadership role, often out of necessity.
a. appointed
b. autocratic
c. democratic
d. emergent
e. laissez-faire
The correct answer is d. emergent.
An emergent leader is an individual who grows into the leadership role naturally, often due to circumstances or necessity. They are not appointed or assigned to the position of leadership but rather emerge from the group or organization based on their skills, qualities, or actions.
Emergent leaders may possess certain qualities or demonstrate their competence and ability to guide and influence others. They gain recognition and respect from their peers, leading to their emergence as leaders within the group or organization.
This type of leadership often occurs in situations where formal leadership structures may be absent or ineffective, and individuals step up to take charge based on their capabilities and the needs of the group.
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Complete the table.
Distance Height
(ft)
(ft)
0
a
th
b
NT
с
d
2л
e
Answer:
Assuming its "Modeling a Water Wheel" from EDGE its
Distance: a= 1/2 b=1 c=3/2
Heights: d=1 e=0 f=-1
Step-by-step explanation:
The solution is, a = 6, b = 7, c = 8, d = 7 and e = 6.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
Let's remember that the complete revolution of the wheel is 360 degrees, and the distance traveled by a complete revolution is the length of the circumference: 2*pi*radius.
The inicial height of the point is 6 ft, and the radius of the wheel is 1 ft.
When the distance traveled is 0, the wheel turned 0 degrees, and the point will be in its inicial position (the lower position of the wheel), which is 6 feet high.
So the height will be a = 6 + 0 = 6 ft
When the distance traveled is pi/2, the wheel turned 90 degrees, and the point will be half the complete height of the wheel, which is 2 feet.
So the height will be b = 6 + 1 = 7 ft
When the distance traveled is pi, the wheel turned 180 degrees, and the point will be at the top of the wheel, which is 2 feet higher than the lower point of the wheel.
So the height will be c = 6 + 2= 8 ft
When the distance traveled is 3pi/2, the wheel turned 270 degrees, and the point will be half the complete height of the wheel, which is 2 feet.
So the height will be d = 6 + 1 = 7 ft
When the distance traveled is 2pi, the wheel turned 360 degrees, and the point will be in its inicial position (the lower position of the wheel), which is 6 feet high.
So the height will be e = 6 + 0 = 6 ft
So the answers are:
a = 6, b = 7, c = 8, d = 7 and e = 6
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a) What is the standard deviation of the data set you labeled as having the least random error?
( b) What is the standard deviation of the data set you labeled as having the MOST random error? ( c) What does the standard deviation tell you about these two data sets? Does that agree with your labels for " least and " most random error? ( d) Does the standard deviation tell you anything about a potential systematic error in the density data? Briefly explain.
The standard deviation of the data set labeled as having the least random error is X.
What is the standard deviation of the data set labeled as having the least random error?The standard deviation of the data set labeled as having the most random error is Y.
The standard deviation provides a measure of the variability or dispersion of the data points.
For the data set labeled as having the most random error, the larger standard deviation (Y) suggests that the data points are more spread out and have greater variability compared to the other data set.
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Four students were asked to write an expression that has terms that have a greatest common factor of ab. The expressions provided by the students are shown below.
Michelle
16 a + 3 b
Naomi
18 a b c minus 13 a b c
Olivia
20 a b minus 14 a b c
Peyton
15 a b c + 14 a b
Which student wrote the correct expression?
Michelle
Naomi
Olivia
Peyton
Answer:
Peyton in the correct option
Step-by-step explanation:
The correct expression is given by Peyton.
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Consider if m is any integer, then
gcd (a + m⋅ b, b) = gcd (a, b).
If m is a positive divisor, then
gcd (a/m, b/m) = gcd (a, b)/m.
So, if x and y are prime, then
gcd(x*y, b) = gcd(x, b) * gcd(y, b).
First, find the greatest common factor of the given terms.
The greatest common factor or GCF is the largest factor that all terms have in common.
Then, Factor out the greatest common factor from each term.
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the letters in the word bubble are arranged in a row. how many unique arrangements are there of the letters?
In a case whereby letters in the word bubble are arranged in a row the number of unique arrangements that are there in the letters is 120.
How can the letter be arranged?
From the question we were given the word, bubble which can be recognized as 6! arrangements however we know that the 3 B’s are interchangeable, from the word which is to be arranged, and we can see that there are 6 letters all together in the word and can be arranged as;
6!/3!
= 720/6
= 120
Hence, we can conclude the arangement here is 120 unique wayas.
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Polly made a pinata for her sister's birthday party and wants to fill it with candy. If
the pinata is shaped like a sphere and has a diameter of 14 inches, how many cubic
inches of candy does Polly need? Round your answer to the nearest tenth.
Polly needs
cubic inches of candy does polly need?
Answer:
The volume of candy that is needed by Polly is 1,437.3 cubic inches
Step-by-step explanation:
What we have to do here is to find the volume of the sphere with a diameter of 14 inches
If the diameter is 14 inches, then the radius is 14/2 = 7 inches
This is because the radius is half the measure of the diameter
To find the volume of the sphere, we use the formula below;
Volume of sphere
= 4/3 * pi * r^3
pi = 22/7
r = 7 inches
Volume is;
4/3 * 22/7 * 7^3
= 4/3 * 22 * 7^2 = 1437.3 cubic inches
At a local fair, Molly sells bracelets. It costs her
$10 per bracelet for supplies and the local marke
charges her a one-time booth fee of $60. She
charges $20 for each bracelet.
a) Write a system of equations to represent this
situation (one equation for expenses and one
equation for income):
Answer:
10x + 60 ; 20x
Step-by-step explanation:
Given that:
Purchase price per bracelet = $10
Cost of booth = $60
Selling price per bracelet = $20
Hence,
Let number of bracelets = x
Expense equation :
(Price per bracelet * number of bracelet) + booth fee
(10 * x) + 60
10x + 60
Income equation :
Selling price * number of bracelets
20x
in the country of united states of heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.3 inches, and standard deviation of 4.3 inches. what is the probability that the height of a randomly chosen child is between 44.75 and 58.35 inches? do not round until you get your your final answer, and then round to 3 decimal places.
The probability that the height of a randomly chosen child is between 44.75 and 58.35 inches is approximately 0.8830.
To solve this problem, we need to find the area under the normal curve between the two given heights.
We can use the standard normal distribution by converting the given values into z-scores. The formula for calculating a z-score is
z = (x - μ) / σ
where x is the value we want to convert, μ is the mean of the distribution, and σ is the standard deviation of the distribution.
For the lower bound of 44.75 inches
z1 = (44.75 - 53.3) / 4.3 = -1.98
For the upper bound of 58.35 inches
z2 = (58.35 - 53.3) / 4.3 = 1.17
Now, we need to find the area under the normal curve between these two z-scores. We can use a standard normal table or a calculator to find this probability.
Using a standard normal table, the probability of z being between -1.98 and 1.17 is approximately 0.8830.
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Please help me with this math problem
a) The experimental probability of both choosing a ball that is odd and drawing a car that is either a K or J is given as follows: 29/60.
b) The theoretical probability of both choosing a ball that is odd and drawing a car that is either a K or J is given as follows: 4/9.
c) With a small number of trials, it is not surprising when the experimental probability is much greater than the theoretical probability.
How to calculate a probability?A probability is calculated via the division of the number of desired outcomes by the number of total outcomes.
An experimental probability, as the name says, is calculated considering previous experiments.
Out of 60 outcomes, the desired outcomes and their absolute frequencies are given as follows:
1K -> odd and K -> 8.3K -> odd and K -> 4.1J -> odd and J -> 10.3J -> odd and J -> 7.Hence the experimental probability is obtained as follows:
(8 + 4 + 10 + 7)/60 = 29/60.
For the theoretical probability, we have that:
2 out of 3 letter are K and J.2 out of 3 numbers are odd.Hence it is given as follows:
p = 2/3 x 2/3
p = 4/9.
For a small number of trials, there usually are differences between the experimental and the theoretical probabilities, but these probabilities get closer as the number of trials increase.
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Select the reason that best supports statement 3 in the given proof.
Statement Reason
m∠A ÷ 5 = m∠B 1. Given
m∠B = 20 2. Given
m∠A ÷ 5 = 20 3. Substitution
m∠A = 100 4. Multiplication property of equality
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
m∠A ÷ 5 = m∠B ____(1)
m∠B = 20 _____(2)
Substitute (2) in (1)
m∠A ÷ 5 = 20
m∠A / 5 = 20
Multiply 5 on both sides.
m∠A = 5 X 20
m∠A = 100
Thus,
Statement Reason
m∠A ÷ 5 = m∠B 1. Given
m∠B = 20 2. Given
m∠A ÷ 5 = 20 3. Substitution
m∠A = 100 4. Multiplication property of equality
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1. Consider the following set -0000) (a) [2 marks] Is the set S an orthogonal basis for R¹? (b) [4 marks] Convert the set S into an orthonormal basis for R4. Leave your answers in surds if necessary.
The set S = {(-1, 0, 1, 0), (0, -1, 0, 1)} is an orthogonal basis for R¹. The orthonormal basis for R⁴ using the set S is {(-1/√2, 0, 1/√2, 0), (0, -1/√2, 0, 1/√2)}.
To determine if the set S is an orthogonal basis for R¹, we need to check if the vectors in S are orthogonal to each other.
(a) Set S = {(-1, 0, 1, 0), (0, -1, 0, 1)}
To check orthogonality, we need to calculate the dot product of the vectors.
The dot product of (-1, 0, 1, 0) and (0, -1, 0, 1):
(-1)(0) + (0)(-1) + (1)(0) + (0)(1) = 0
The dot product is zero, indicating that the two vectors are orthogonal.
Hence, the set S is an orthogonal basis for R¹.
(b) To convert the set S into an orthonormal basis for R⁴, we need to normalize the vectors in S.
Let's normalize each vector in S:
Vector v₁ = (-1, 0, 1, 0)
||v₁|| = √((-1)² + 0² + 1² + 0²) = √2
Normalized vector v₁: (-1/√2, 0, 1/√2, 0)
Vector v₂ = (0, -1, 0, 1)
||v₂|| = √(0² + (-1)² + 0² + 1²) = √2
Normalized vector v₂: (0, -1/√2, 0, 1/√2)
Therefore, the orthonormal basis for R⁴ using the set S is:
{(-1/√2, 0, 1/√2, 0), (0, -1/√2, 0, 1/√2)}
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A hashing algorithm is a routine that converts a primary key value into a relative record number. T/F
True. A hashing algorithm is a mathematical routine used to generate a hash value from a primary key value.
A relative record number that may be used to retrieve the required record in a data structure is created using this hash value.
In order to facilitate quick access to the data, the hashing algorithm makes sure that the same hash value is generated for every primary key. How quickly the requested record can be found depends on how effective the hashing method is.
Also, it must be safe enough to prevent two main key values from producing the same hash value, as doing so might result in accessing the wrong records.
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b, d, and f are the midpoints of each side and g is the centroid. find the following lengths
please do not give an answer if you cannot help.
Answer:
see explanation
Step-by-step explanation:
AD , BE and CF are medians of the triangle.
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint.
(1)
given BG = 5
GE = 2 × BG = 2 × 5 = 10
BE = BG + GE = 5 + 10 = 15
(2)
given CG = 16
GF = \(\frac{1}{2}\) × CG = \(\frac{1}{2}\) × 16 = 8
CF = CG + GF = 16 + 8 = 24
(3)
given AD = 30
AG = \(\frac{2}{3}\) × AD = \(\frac{2}{3}\) × 30 = 2 × 10 = 20
GD = \(\frac{1}{3}\) × AD = \(\frac{1}{3}\) × 30 = 10
(4)
given GF = x
GC = 2 × GF = 2 × x = 2x
CF = CG + GF = x + 2x = 3x
(5)
given AG = 9x , GD = 5x - 1
AG = 2 GD , that is
9x = 2(5x - 1)
9x = 10x - 2 ( subtract 9x from both sides )
0 = x - 2 ( add 2 to both sides )
2 = x
then
AD = AG + GD
= 9x + 5x - 1
= 14x - 1 ( substitute x = 2 )
= 14(2) - 1
= 28 - 1
= 27
which transformations map jkl and j'k'l
Answer:
Can you post a picture of the math question??
Determine whether b can be written as a linear combination of a1 and a2. In other words, determine whether weights x1a1 + x2a2 = b. Determine the weights x1 and x2 if possible. Let a1 = [2 6 -4], a2 = [-2 6 6], and b = [0 36 6]. a) x1 = 3, x2 = 4 b) x1 = 3, x2 = 3c) x1 = 4, x2 = 2 d) There is no solution.
b can be written as a linear combination of a1 and a2 with weights x1 = 3 and x2 = 3.
Thus, (b) x1 = 3, x2 = 3 is the right response.
To determine whether b can be written as a linear combination of a1 and a2, we need to find weights x1 and x2 such that x1a1 + x2a2 = b.
Here a1 = [2 6 -4], a2 = [-2 6 6], and b = [0 36 6], we have the following system of equations:
2x1 - 2x2 = 0
6x1 + 6x2 = 36
-4x1 + 6x2 = 6
Solving for x1 and x2, we have:
From the first equation, we can write x1 = x2.
Substituting x1 = x2 in the second equation, we get:
6x1 + 6x1 = 36
12x1 = 36
x1 = 3
Since x1 = x2, we have x2 = 3 as well.
Now, substituting the values of x1 and x2 in the third equation, we get:
-4(3) + 6(3) = 6
-12 + 18 = 6
6 = 6
Since the system is consistent, there is a solution. Therefore, b can be written as a linear combination of a1 and a2 with weights x1 = 3 and x2 = 3.
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Find an equation for the line that passes through the points (-1,-2) and(5,2) .
Required equation of the line which passes through the given points
(-1 ,-2) and (5,2) is equal to y = (2/3)x -(4/3).
As given in the question,
Given points of the line are :
( x₁ , y₁) = (-1 ,-2)
(x₂ , y₂) = (5,2)
Required equation of the line which passes through the given points
( x₁ , y₁) = (-1 ,-2) and (x₂ , y₂) = (5,2)
( y - y₁ ) / (x -x₁) = ( y₂ - y₁)/ (x₂ -x₁)
Substitute the points ( x₁ , y₁) = (-1 ,-2) and (x₂ , y₂) = (5,2) we get,
( y -(-2)) /(x -(-1)) = (2 -(-2))/ (5-(-1))
⇒(y+2)/ (x+1) = 4 / 6
⇒(y+2)/ (x+1) = 2/3
⇒ 3y +6 = 2x +2
⇒ 3y = 2x -4
⇒ y = (2/3)x -(4/3)
Therefore, Required equation of the line which passes through the given points (-1 ,-2) and (5,2) is equal to y = (2/3)x -(4/3).
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Car Payments
Your aunt bought a new car After three months of car payments she owed a total of
$22 275 to the bank for the car loan. After 12 months, she owed $18,900 to the bank
for the car loan What was her average payment rate on the principal of the car loan
during this time?
13. 22.2757
(12, 18,000)
24,000
20,000
Money Owed 16,000
(dollars)
12.000
8,000
4,000
2
12
4 6 8 10
Time months)
CHECK
per month
O
Type here to search
What was her average payment rate on the principal of the car loan during this time?
Answer:
$375
Step-by-step explanation:
Given the following :
Amount owed after three months of payment = $22,275
Amount owed after 12 months = $18,900
What was her average payment rate on the principal of the car loan during this time?
We can obtain the amount paid between the third month and the 12th months ;
(Amount owed after 12 months - amount owed after 3 months)
= ($22,275 - $18,900)
= $3,375
Number of months for which the payment above was made :
(12 - 3) = 9 months
Payment per month :
Amount paid / number of months
= 3375 / 9
=$375 per month
a
= 13 m,
b
= 9 m and
c
= 2 m for the triangle shown below.
Work out the value of
x
, giving your answer as an exact surd.
The diagram is not drawn accurately
Answer:
2√21
Step-by-step explanation:
let the sides of bigger triangle be a, b and d.
then,
a²= b² + d² [ by Pythagoras theorem]
13² = 9² + d²
d² = 13² - 9²
d²= 169 - 81
d² = 88
d = √88
Now, the sides of smaller triangle are c, x, and d
by Pythagoras theorem,
d² = c²+x²
(√88)² = 2² + x²
88 - 4 = x²
x² = 84
x = √84
x= 2x2x3x7
x = 2√21
Therefore, the value of x is 2√21
Hope it's helpful..
what is a gram yyyyyyyyyy
Answer:
The FitnessGram Pacer test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter Pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal *boop*.
Step-by-step explanation:
Answer:
The Grammy Award, or just Grammy, is an award presented by the Recording Academy to recognize achievements in the music industry. The trophy depicts a gilded gramophone. The annual presentation ceremony features performances by prominent artists, and the presentation of those awards that have a more popular interest.
It is known that 2x-3/x = x + 1 What is the value of x^2 -x + 3
The value of the equation x² - x + 3 is 37/9.
We have,
We can start by multiplying both sides of the equation by x:
2x - 3/x = x + 1
2x - 3 = x^2 + x
Rearranging and simplifying, we get:
x^2 - x + 3 = (2x - 3) + x^2
x^2 - x + 3 = x^2 + 2x - 3
-x + 3 = 2x - 3
5 = 3x
x = 5/3
Now we can substitute x into the equation x^2 - x + 3:
x^2 - x + 3 = (5/3)^2 - 5/3 + 3
x^2 - x + 3 = 25/9 - 15/9 + 27/9
x^2 - x + 3 = 37/9
Therefore,
The value of x² - x + 3 is 37/9.
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