Apply Gauss-Jordan elimination to determine the solution set of the given system. (Let a represent an arbitrary number. If the system is inconsistent, enter INCONSISTENT.) = 2x + x2 + x3 + 3x4 = 18 -3x, - xy + 2x3 + 2x4 = 7 8x, + 2x2 + x3 + x4 = 0 4x1 + x2 + 4x3 + 8x4 = -1 (x, xn, xz, x)
Answers
The solution to the system of equations is (x, y, z, w) = (5/4, -83/4, 65/4, 37/10). The given system of equations is inconsistent, meaning there is no solution set that satisfies all the equations simultaneously.
To apply Gauss-Jordan elimination, let's represent the system of equations in augmented matrix form:
```
[ 2 1 1 3 | 18 ]
[ -3 -y 2 2 | 7 ]
[ 8 2 1 1 | 0 ]
[ 4 1 4 8 | -1 ]
```
We'll perform row operations to transform the augmented matrix into row-echelon form.
1. R2 = R2 + (3/2)R1
2. R3 = R3 - 4R1
3. R4 = R4 - 2R1
The updated matrix is:
```
[ 2 1 1 3 | 18 ]
[ 0 -y 5/2 13/2 | 37/2 ]
[ 0 2 -3 -5 | -72 ]
[ 0 -1 0 -2 | -37 ]
```
Next, we'll continue with the row operations to achieve reduced row-echelon form.
4. R2 = (-1/y)R2
5. R3 = R3 + 2R2
6. R4 = R4 - R2
The updated matrix is:
```
[ 2 1 1 3 | 18 ]
[ 0 1 -5/2 -13/2 | -37/2 ]
[ 0 0 -4 -31 | -113 ]
[ 0 0 5/2 11/2 | 37/2 ]
```
Continuing with the row operations:
7. R3 = (-1/4)R3
8. R4 = (2/5)R4
The updated matrix becomes:
```
[ 2 1 1 3 | 18 ]
[ 0 1 -5/2 -13/2 | -37/2 ]
[ 0 0 1 31 | 113/4 ]
[ 0 0 1/2 11/5 | 37/5 ]
```
Further row operations:
9. R3 = R3 + (5/2)R4
The updated matrix is:
```
[ 2 1 1 3 | 18 ]
[ 0 1 -5/2 -13/2 | -37/2 ]
[ 0 0 1 31 | 113/4 ]
[ 0 0 0 6 | 37/10 ]
```
To obtain the reduced row-echelon form, we perform the following operation:
10. R4 = (1/6)R4
The final matrix is:
```
[ 2 1 1 3 | 18 ]
[ 0 1 -5/2 -13/2 | -37/2 ]
[ 0 0 1 31 | 113/4
]
[ 0 0 0 1/6 | 37/60 ]
```
Now, we can rewrite the system of equations in terms of the reduced row-echelon form:
2x + y + z + 3w = 18
y - (5/2)z - (13/2)w = -37/2
z + 31w = 113/4
(1/6)w = 37/60
From the last equation, we can determine that w = 37/10.
Substituting this value back into the third equation, we find z = (113/4) - 31(37/10) = 65/4.
Substituting the values of z and w into the second equation, we get y - (5/2)(65/4) - (13/2)(37/10) = -37/2.
Simplifying, we find y = -83/4.
Finally, substituting the values of y, z, and w into the first equation, we have 2x + (-83/4) + (65/4) + 3(37/10) = 18.
Simplifying, we obtain 2x = 5/2, which implies x = 5/4.
Therefore, the solution to the system of equations is (x, y, z, w) = (5/4, -83/4, 65/4, 37/10).
However, please note that the system is inconsistent because the equations cannot be simultaneously satisfied.
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Related Questions
Suppose line segment XY has one endpoint at X(0,0). If (3,4) is the midpoint of XY, what are the coordinates of point Y?
Answers
Midpoint (3,4)
Y (6,8)
What is the domain and range written in inequalities?
I believe the domain is all real numbers but I need the range.
Answers
Answer:
Range => y ≤ -2
Domain => All real numbers
Step-by-step explanation:
As it extends horizontally either way, domain can be any possible value.
Whereas it only extends from -2 towards the bottom, therefore the range will be less than or equal to -2.
Please just pleaseeeee help....I’m desperate....
Answers
Answer:
option B
-5/2
Step-by-step explanation:
______________________
If you have to divide by a variable, be sure to explain why it is not zero or why it cannot be zero
1. Let A(x,y,z) = 12 +3+ y2 - 2y MULTIPLIERS
(a) Find the global maximum and minimum of A(3,7.2) subject to the constraint ar* + y + z = 2
(b) Find the global maximum and minimum of Als, y.) on the closed bounded dornain ** + y + x2 <16.
Answers
(a) There is no extreme value of A subject to the given constraint,
(b) For x = 0, y + z² ≤ 16.
y is between -4 and 4. In this case, f(y,z) = y² and the maximum value is 16.
For x = ±y, z = 4 - y².
y is between -2 and 2. In this case, f(y,z) = 2y² - y⁴ and the maximum value is 2.
When dividing by a variable, one should always keep in mind that the variable cannot be equal to zero. In other words, if the value of the variable is zero, the function or expression will not be defined or will give an undefined result. The reason is that division by zero is not defined in the set of real numbers.
Therefore, one should exclude the value of zero from the domain of the function or expression.
In part (a) of the given question, we are asked to find the global maximum and minimum of A(x,y,z) = 12 + 3x + y² - 2y subject to the constraint x + y + z = 2.
Let's find the partial derivatives of A with respect to x, y, and z.
∂A/∂x = 3
∂A/∂y = 2y - 2 = 2(y - 1)
∂A/∂z = 0
Now, we have to solve the system of equations consisting of the partial derivatives and the constraint equation.
\(3 = \lambda_1 + \lambda_2,\\2y - 2 = \lambda_1 + \lambda_2,\\\lambda_1x + \lambda_2x = 0,\\\lambda_1y + \lambda_2y - 1 = 0,\\\lambda_1z + \lambda_2z = 1.\)
Substituting the values of the partial derivatives, we get:
\(\lambda_1 + \lambda_2 = 3,\\\lambda_1 + \lambda_2 = -2,\\\lambda_1(3) + \lambda_2(0) = 0,\\\lambda_1(y - 1) + \lambda_2(y - 1) = 0,\\\lambda_1(0) + \lambda_2(1) = 1.\)
The second and third equations are contradictory. So, under the given constraint, A has no extreme value.
In part (b), we are asked to find the global maximum and minimum of A(x,y,z) = x² + y² on the closed bounded domain x² + y + z² ≤ 16.
Let's use the method of Lagrange multipliers to solve the problem. We have to find the critical points of the function f(x,y,z) = x² + y² subject to the constraint x² + y + z² = 16.
We have to solve the system of equations consisting of the partial derivatives of f, the partial derivatives of the constraint function, and the equation of the constraint function.
2x = λ(2x),
2y = λ(1),
2z = λ(2z).
Substituting the value of λ from the second equation into the first equation, we get: x = 0 or x = ±y.
Substituting the values of x and λ from the first and second equations into the third equation, we get:
z = 4 - y² or z = 0.
Since the constraint is x² + y + z² ≤ 16, we have to consider the following cases:
Case 1: x = 0, y + z² ≤ 16.
So, y is between -4 and 4. The maximum value of f(y,z)=y² is 16 in this case.
Case 2: x = ±y, z = 4 - y².
So, y is between -2 and 2. The maximum value of f(y,z) = 2y² - y⁴ is 2 in this case.
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Part A
Which transformation maps A ABC onto A DEF?
10 J
A. a rotation about point B
B. a translation 5 units right and 1 unit up
C. a reflection across a horizontal line
D. a reflection across a vertical line
Part B
If ABC is reflected across the y-axis, what would be the coordinates of A'B'C'?
A’ ( ? , ? )
B’ ( ? , ? )
C’ ( ? , ? )
Answers
The transformation maps triangle ABC onto triangle DEF is
B. a translation 5 units right and 1 unit upIf ABC is reflected across the y-axis, the coordinates of A'B'C' will be
A' (4, 4)
B' (1, 1)
C' (4, 1)
What is reflection across y-axisReflection across the y-axis is a transformation that involves flipping an object or a point over the y-axis.
In this transformation, each point (x, y) in the original figure is mapped to a new point (-x, y) on the reflected figure.
in the preimage ABC has coordinates
A (-4, 4)
B (-1, 1)
C (-4, 1)
The new point (-x, y) will be
A' (4, 4)
B' (1, 1)
C' (4, 1)
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The area of (V is 624.36 square meters. The area of sector
SVT is 64.17 square meters. Find the indicated measure.
Answers
1. The radius of V is approximately 14.04 meters.2.The circumference of V is approximately 88.24 meters. 3.mST arc is 26.85 degrees. 4.the length of ST arc is approximately 6.61 meters. 5.34.69 meters. 6.88.24m.
Describe Sector?In geometry, a sector is a part of a circle enclosed by two radii and an arc. Essentially, a sector is a slice of a circle. The two radii that form the sector are equal in length and share a common endpoint, which is the center of the circle. The arc of the sector is a portion of the circumference of the circle and its length is proportional to the measure of the central angle that it subtends.
We can use the given information to solve for the following:
1. Radius of V:
The area of a circle is given by the formula A = πr². We are given the area of V as 624.36 square meters, so we can solve for the radius r as:
A = πr²
624.36 = πr²
r² = 624.36/π
r ≈ 14.04 meters
Therefore, the radius of V is approximately 14.04 meters.
2. Circumference of V:
The circumference of a circle is given by the formula C = 2πr. Using the radius we just found, we can solve for the circumference of V as:
C = 2πr
C = 2π(14.04)
C ≈ 88.24 meters
Therefore, the circumference of V is approximately 88.24 meters.
3. mST arc:
The area of the sector SVT is given as 64.17 square meters. The area of a sector is given by the formula A = (θ/360)πr², where θ is the central angle of the sector in degrees. We are not given the value of θ, but we can solve for it as:
A = (θ/360)πr²
64.17 = (θ/360)π(14.04)²
θ ≈ 26.85 degrees
Therefore, the central angle of the sector SVT is approximately 26.85 degrees, and mST arc is also 26.85 degrees.
4. Length of ST arc:
The length of an arc of a circle is given by the formula L = (θ/360)C, where θ is the central angle of the arc in degrees, and C is the circumference of the circle. We can use the values we have already calculated to solve for the length of ST arc as:
L = (θ/360)C
L = (26.85/360)(88.24)
L ≈ 6.61 meters
Therefore, the length of ST arc is approximately 6.61 meters.
5. Perimeter of shaded region (sector):
The perimeter of a sector is the sum of the length of the arc and the lengths of the two radii that form the sector. Using the values we have already calculated, we can solve for the perimeter of the shaded sector as:
Perimeter = L + 2r
Perimeter = 6.61 + 2(14.04)
Perimeter ≈ 34.69 meters
Therefore, the perimeter of the shaded region (sector) is approximately 34.69 meters.
6. Perimeter of unshaded region (remaining circle part):
The perimeter of a circle is given by the formula C = 2πr. Using the radius we previously calculated, we can solve for the perimeter of the unshaded region as:
Perimeter = 2πr
Perimeter = 2π(14.04)
Perimeter ≈ 88.24 meters
Therefore, the perimeter of the unshaded region (remaining circle part) is approximately 88.24 meters.
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Polygon JKLM is drawn with vertices J(−2, −5), K(−4, 0), L(−1, 2), M (0, −1). Determine the image coordinates of K′ if the preimage is translated 6 units up.
A. K′(−10, 0)
B. K′(−4, −6)
C. K′(−4, 6)
D. K′(2, 0)
Answers
The coordinates of the images after the translation are K' (-4, 6).
Finding the coordinates of the image of points K'To find the image coordinates of K', we need to translate the coordinates of K 6 units up.
This can be done by adding 6 to the y-coordinate of K.
So, the y-coordinate of K' will be:
y-coordinate of K' = y-coordinate of K + 6
= 0 + 6
= 6
To find the x-coordinate of K', we just need to keep the x-coordinate of K the same, since the translation is only in the vertical direction.
Therefore, the image coordinates of K' are (-4, 6).
So, the correct answer is C. K′(−4, 6).
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how to find sample size with margin of error on ti 84
Answers
The appropriate sample size formula on the TI-84 calculator, you can determine the sample size needed to achieve your desired margin of error for estimating population parameters.
To find the sample size with a desired margin of error on a TI-84 calculator, you can use the following steps:
1. Determine the desired margin of error: Decide on the maximum allowable difference between the sample estimate and the true population parameter. For example, if you want a margin of error of ±2%, your desired margin of error would be 0.02.
2. Determine the confidence level: Choose the desired level of confidence for your interval estimate. Common choices include 90%, 95%, or 99%.
Convert the confidence level to a corresponding z-score. For instance, a 95% confidence level corresponds to a z-score of approximately 1.96.
3. Calculate the estimated standard deviation: If you have an estimate of the population standard deviation, use that value. Otherwise, you can use a conservative estimate or a pilot study's standard deviation as a substitute.
4. Use the formula: The sample size formula for estimating a population mean is n = (z^2 * s^2) / E^2, where n represents the sample size, z is the z-score, s is the estimated standard deviation, and E is the desired margin of error.
5. Plug in the values: Input the values of the z-score, estimated standard deviation, and desired margin of error into the formula. Use parentheses and proper order of operations to ensure accurate calculations.
6. Calculate the sample size: Perform the calculations using the calculator, making sure to include the appropriate multiplication and division symbols. The result will be the recommended sample size to achieve the desired margin of error.
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In a sample of 300 skittles taken from this 54 oz bag, 72 of the skittles were observed to be purple. What is the value of p-hat (the sample proportion)?.
Answers
The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.
The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample
p-hat = number of purple skittles / total number of skittles in sample
In this case, we have
Number of purple skittles = 72
Total number of skittles in sample = 300
Therefore,
p-hat = 72/300 = 0.24
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whats the answer to 4/10+2/100?
Answers
Answer:
21/50
Step-by-step explanation:
Answer:
I think it is 1/125
Dana bought 1.8 ounces of flour and she used 0.81 ounces of it to make biscuits. How much is left?
Answers
Two sides of a triangle have lengths of 9
and 18. Which inequality represents the
possible length for the third side, x?
A. 9 < x < 18
B. 18 < X < 9
C. 9
D. 18 < X < 27
Answers
D) 18 < X < 27
Because the length of the third side has to lesser that the sum of the other two sides
Answer:
I think that a option is correct
"A.9 <x<18"
Step-by-step explanation:
HOPE IT HELPS YOU:)
ANSWER FAST Which statement about numbers is true? All whole numbers are rational numbers. All rational numbers are integers. All rational numbers are whole numbers. All integers are whole numbers
Answers
Answer:
The statement "(a) all whole numbers are rational numbers" is true.
Step-by-step explanation:
A rational number is the number which can be expressed in the from of \(\frac p q\), where p, q are integers and q\neq0.
(a.) As all the whole numbers (0,1,2,3...) can be expressed in the form of p/q having q=1.
Hence, the statement "(a) all whole numbers are rational numbers" is true.
(b). As the rational numbers can have the fractional value but any integers don't have fractional value, so all the rational numbers are not integers.
Hence, the statement "(b). All rational numbers are integers" is not true.
(c). As the rational numbers can have the fractional value but any whole numbers don't have fractional value, so all the rational numbers are not whole numbers.
Hence, the statement "(c). All rational numbers are whole numbers." is not true.
(d). Integers( ...,-2,-1,0,1,2,...) can be negative, but the whole numbers (0,1,2,...) can't be negative. So, all integers can't be whole numbers.
Hence, the statement "(d). All integers are whole numbers" is not true.
Answer:
A
Step-by-step explanation:
-10x+y=-22 -8x+y=-18 solve by elimination
Answers
Answer:
x=2, y= -2
Step-by-step explanation:
Answer:
-10x+y=-22---------equation 1
-8x+y=-18----------equation 2
subtract eqn 1 and 2
-10x+y=-22
-8x+y=-18
(+) (-) (+)
__________
-2x=-4
or, x=2
put the value of x in equation 1 we get
-10×2+y=-22
y=-22+20
or, y = -2
therefore x=2 and y=-2 ans.
Emma wants to buy a cookie for her friend. The radius of the cookie is 5 inches. What is the circumference of the cookie? Use 3.14 for
Answers
Answer:
Circumference of the cookie = 31.4 inches
Step-by-step explanation:
Given:
Radius of cookie = 5 inches
Find:
Circumference of the cookie
Computation:
Circumference of circle = 2πr
Circumference of the cookie = 2πr
Circumference of the cookie = 2(3.14)(5)
Circumference of the cookie = 31.4 inches
That means that DCO and CBO are isosceles triangles. the base angles of isosceles triangles are congruent. So DCO = x. CBO = 90˚ - 2x (the angle where the tangent and the radius of a circle meet is 90˚) CBO is an isosceles triangle (2 sides are radii) Therefore angle CBO = Angle OCB Angle OCB = 90˚ - 2x the sum of a triangle is 180˚ 180 - angle CBO - angle OCB = Angle COB so 180 - (90˚ - 2x)(90˚ - 2x) = 4x Angle COB = 4x DCO is an isosceles triangle therefore DCO = CBO = x the sum of angles in a triangle is 180˚ 180 - angle DCO - angle CDO = angle COD 180˚ - x - x = 180˚ - 2x Angle COD = 180 - 2x Angle BCD = Angle DCO + Angle OCB - x +90˚ - x Angle BCD = 90˚ - x There are 360˚ in a circle, therefore angle DOB - 360˚ - Angle COD - Angle COB = 360-(180˚-2x) - (4x) = 180-2x Angle DOB = 180˚-2x The shape DOBA is a quadrilateral. Angles in a quadrilateral add up to 360˚. Angle ODA and OBA are both 90˚ (But the angle where the tangent and radius of a circle meet is 90˚) Angle DOB = 180 - 2x therefore y = 360 - angle CDA - angle OBA - minus DOB y=360 - (90) - (90) -(180-2x) y=2x
Answers
Answer:
i know how to explain about by step by step i dont know
Step-by-step explanation:
Answer:
I verified all your reasons and the answer is perfectly correct, well done!
Although you provided the answer instead of question... it will help others to learn something
Richard’s checking account balance was $57.34 at the beginning of the week. During the week, he recorded the transactions below.
Finding the Account Balance
What was Richard’s account balance at the end of the week?
Answers
Answer:
US$ 132.45
Step-by-step explanation:
See attachment for the missing table.
Given:
Richard’s checking account balance at the beginning of the week = $57.34
Richard’s account balance at the end of the week from the given table:
Deposits of the week = US$ 163.75
Expenses of the week = Groceries + Credit card bill + Gas
Expenses of the week = 25.37 + 50 + 13.27
Expenses of the week = US$ 88.64
Richard’s account balance at the end of the week = Richard’s checking account balance at the beginning of the week + Deposits of the week - Expenses of the week
Replacing with the real values:
Richard’s account balance at the end of the week = 57.34 + 163.75 - 88.64
=US$ 132.4
nswer:132.45
Step-by-step explanation:
Simplify 2x^7 times x^-4
Answers
Answer:
The answer is B
2x to the power of 3
Step-by-step explanation:
2x to the power of 7 minus 4 equals
2x to the power of 3
Consider the equation Ax+By=−36. If the x-intercept is (−3,0) and the y-intercept is (0,9), what are the values of A and B?
Answers
Answer:
A= 12
B = -4
Step-by-step explanation:
( -3,0) & (0,9) should satisfy the equation Ax + By = -36
when ( -3,0)
-3A+ 0 = -36
A = 12
when (0,9)
0 + 9B = -36
B = -4
The value of A and B is 12 and -4.
Given that,
The equation is Ax + By = -36.And, the x-intercept is (-3,0) and the y-intercept is (0,9).Based on the above information, the calculation is as follows:
Ax + By = -36
When (-3,0)
So,
-3A+ 0 = -36
A = 12
Now
when (0,9)
So,
0 + 9B = -36
B = -4
Therefore we can conclude that the value of A and B is 12 and -4.
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an exponential equation whose solution is x=6
Answers
2²ˣ ⁻ ⁵ = 128
What is an exponential equation?
Any equation with a variable in the exponent position is clearly an exponential equation.
The given solution for an exponential equation is x = 6.
For making this in expression form we need to add some values to it
hence multiply by 2 on both sides
2x = 12
subtract by -5 on both sides
2x- 5 = 7
multiply with ln 2 on both sides
2x - 5 ln2 = 7 ln 2
after taking antilog
2²ˣ ⁻ ⁵ = 128
Therefore, 2²ˣ ⁻ ⁵ = 128 is an exponential equation whose solution is x= 6.
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Factor completely.
16 - 49x2
Answers
Answer:
(4+7x)(4-7x)
Step-by-step explanation:
Answer:
-82
Here you go :D
They then divided the proportionally based on the number of hours they worked. How much money did Shawn earn?
Answers
A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 2 had a mispriced item. If 1,500 people go to this store each day, how many people would you expect to have a mispriced item?
Answers
Answer:
12
Step-by-step explanation:
What is the solution of the equation, x–11=16?
x=
in this question you need to find what x is what ever x is, is the answer
Answers
Answer:
x=27
Step-by-step explanation:
x-11=16
add 11 to both sides
x=27
Find the value of y.
Answers
Answer:
13.5
Step-by-step explanation:
just subtract everything aan keep the 13/5 and use tat
Answer:
y = 11.2
Step-by-step explanation:
Given:
The Side-Splitter Theorem states that:
JKP is any triangle
KL is drawn parallel to MN, then JK/KM = JL/LN
JK/KM = JL/LN = KL/MN
9/13.5 = (37.5 - x)/x = 7.5/y
9/13.5 = 7.5/y
y = 11.249
9/13.5 = (37.5 - x)/x
x = 22.5
How do you show that f and G are inverses of each other?
Answers
First make the graph of the functions, then if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.
Symmetric
A figure or shape that can be divided into two equal parts by a line is called symmetric figures.
Inverse Functions
The inverse function of a function f is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by F^-1.
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only question 3 A and B please thank you
Answers
Answer:
smell my feet nnnnnnnnnsdsdsdnnnsdsdnigdsga
Step-by-step explanation:
2. Let f(x) be the function f(x) = 2x² + 5x – 12. The value of the positive zero isA. 1.5B. 2.4C. 3D. 4E. 12
Answers
1.5
Explanation:The given function is:
f(x) = 2x² + 5x – 12
To find the zeros, equate f(x) to zero.
f(x) = 0
2x² + 5x – 12 = 0
2x² - 3x + 8x - 12 = 0
x(2x - 3) + 4(2x - 3) = 0
(x + 4)(2x - 3) = 0
x + 4 = 0
x = -4
2x - 3 = 0
2x = 3
x = 3/2
x = 1.5
The zeros of the function f(x) = 2x² + 5x – 12 are -4 and 1.5
Since only x = 1.5 is positive, x = -4 is not positive, the value of the positive zero is 1.5
Match vocabulary word to its example.
Credit score
Creditworthiness
Credit report
Shows how well previous debt has
been managed.
Gives an approved line of credit with
a agreed upon interest rate.
Helps lenders and others predict how
likely you are to make your credit
payments on time.
Assessment of how likely a borrower
will default or not make payments on
his or her debt obligations
Credit card
Answers
Credit is an important part of modern financial systems, and it is used to make purchases, access loans, and invest in different projects. Creditworthiness is a key factor in determining whether an individual can obtain a loan or a credit card.
Matching Vocabularies with Examples:
1. Shows how well previous debt has been managed. - Credit report
2. Gives an approved line of credit with an agreed-upon interest rate. - Credit card
3. Helps lenders and others predict how likely you are to make your credit payments on time. - Credit score
4. Assessment of how likely a borrower will default or not make payments on his or her debt obligations. - Credit worthiness
Credit Report:
A credit report is a detailed record of an individual's credit history, including past loans, credit card balances, and payment history. It provides information on how well a person has managed their previous debt obligations and their current outstanding balances. It also shows whether the person has been involved in any legal proceedings related to their credit.
Credit Card:
A credit card is a financial product that allows an individual to borrow money up to a certain credit limit approved by the lender. It provides a convenient and quick method of making purchases, but it comes with interest charges and fees that must be repaid on time.
Credit Score:
A credit score is a numerical representation of a person's creditworthiness. It is calculated based on the individual's credit report, payment history, current debt, and other factors. A higher credit score indicates a lower risk of defaulting on a loan or credit card payment.
Creditworthiness:
Creditworthiness refers to a borrower's ability to repay their debts and their overall financial health. It is an assessment of how likely a borrower is to default on their debt obligations. Lenders use creditworthiness to determine whether to approve a loan or credit card application and at what interest rate.
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describe the graph of the solution
Answers
First, we want to note two things:
We have a solid circle at -10, so -10 IS part of the solution.We have shading to the right of -10, meaning we also need to include numbers to the right of -10, or numbers greater than -10.
We can describe this with an inequality: x ≥ -10
Be sure you use ≥ and not >, since -10 is included.
We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.
You can also use set-builder notation: { x | x ≥ -10 }