Which graph is the solution for the following linear inequality system?y<8 y >/3
Answers
The shaded region is between the two horizontal lines, but does not include the lines themselves. Here's a graph of the solution:
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8__|_________________
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| |
3__|_________________|
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|_________________
<--- --->
x-axis
What is inequality?An inequality is a mathematical statement that compares two values, expressing that one value is greater than, less than, or equal to the other. Inequalities use inequality symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to) to indicate the relationship between the two values. Inequalities are commonly used in algebra and are used to describe ranges of values that satisfy a given condition or set of conditions.
Here,
The solution for the given linear inequality system includes all the points that satisfy the two inequalities y < 8 and y > 3. To graph the solution, we need to shade the region that satisfies both inequalities.
The inequality y < 8 represents all the points below the horizontal line passing through y = 8, but not including the line itself.
The inequality y > 3 represents all the points above the horizontal line passing through y = 3, but not including the line itself.
Therefore, the solution for the given system is the shaded region between the two horizontal lines, excluding the lines themselves.
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Related Questions
helpppppppppp meeeeeeeeeee 50points
Answers
Answer:
1) 48
2)44
Step-by-step explanation:
Answer: 48 44 Are The Correct Answers
Step-by-step explanation:Hope This Helps
Consider the two triangles. Triangles A B C and H G I are shown. Angles A C B and H I G are right angles. The length of side A C is 15 and the length of side C B is 20. The length of side H I is 12 and the length of I G is 9. To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that...
AngleC congruent AngleC
AngleC congruent AngleG
AC/GI = HI/BC
AC/GI = BC/HI
Answers
To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that AC/GI = BC/HI.
Similarity theorem of triangleFigures are known to be similar if the ratio of their similar sides is equal or their angles are equal.
From the given diagram, triangle ABC will be congruent to GHI if the ratio below is true.
AC/BC = GI/HI
This can also be written as AC/GI = BC/HI. Hence to prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that AC/GI = BC/HI.
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the same type of machines are used in two factories, a and b. with statistical data on 1000 machines operated in factory a, the reliability of the machine is estimated to be 0.99. statistics from factory b show that 5 machines failed out of 600 machines operated in factory b. based on the statistics from both factories, what is the reliability of the machine?
Answers
The reliability of the machine can be estimated to be 0.9833, calculated as (1000 - 1) / 1000 + (600 - 5) / 600. we can take the average of the two reliability estimates, giving us a reliability of 0.9833.
The reliability of a machine can be estimated by taking the ratio of machines that did not fail to the total number of machines operated in a given period. In this case, the reliability of the machine from Factory A can be estimated to be 0.99 (1000 - 1 / 1000). The reliability of the machine from Factory B can be estimated to be 0.9833 (600 - 5 / 600). To estimate the reliability of the machine based on both factories, we can take the average of the two reliability estimates, giving us a reliability of 0.9833.
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On the second journey Ikbal drives at an average speed of 64km/h.
work out
(i) the distance he travels in 90minutes,
in km
Answers
Answer:
96Km
Step-by-step explanation:
l wrote 90/60 because the speed is given in hours.
so I had to deal with hours only not hours and minutes.
that's why I wrote 90/60 .
you can also choose to divide.
I mean to change the minutes to hours so that the formula can work.
good day.
How many solutions does the following equation have?[6x + 12]= -18. 1) No solution 2) One solution 3) Two solutions 4) Infinitely many solutions
Answers
hello
to find the number of solution, we need to solve for x
\(\begin{gathered} 6x+12=-18 \\ 6x=-18-12 \\ 6x=-30 \\ \text{divide both sides by 6} \\ \frac{6x}{6}=-\frac{30}{6} \\ x=-5 \end{gathered}\)the equation has only one solution
Simplify.
4x^3 - 12x^2
__________
4x^2 + 7x - 2
__________
2x^2 - 6x
__________
5x^2 + 11x + 2
Answers:
A. 2x(5x-1)
_____
4x-1
B. 2x(5x+1)
_____
4x-1
C. x(5x+1)
_____
4x-1
D. x(5x+1)
_____
2(4x-1)
Answers
Answer: 7 .
Step-by-step explanation:
The middle term is, +7x its coefficient is 7 . Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is
if the points on a scatter diagram seem to be best described by a curving line, which one of the regression assumptions might be violated? multiple choice question. the homoscedasticity assumption. the normality assumption. the stochastic x assumption. the linearity assumption.
Answers
The linearity assumption might be violated if the points on a scatter diagram seem to be best described by a curving line. The linearity assumption states that the relationship between the dependent variable and the independent variable is linear, meaning that as the independent variable increases or decreases, the dependent variable changes proportionally.
If the points on a scatter diagram form a curving line, it suggests that the relationship between the variables is not linear and the linearity assumption is violated. This could be due to a non-linear relationship between the variables or the presence of outliers. In order to accurately model the relationship between the variables, a non-linear regression model may need to be used. The other assumptions, including homoscedasticity (equal variance of errors), normality (normal distribution of errors), and stochastic x (random and independent values of the independent variable) may or may not be violated depending on the specific data and model used.
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Find the value of x.
Answers
Answer:
x = 5
Step-by-step explanation:
26x + 10x = 180°
36x = 180
x = 180/36
x = 5
Rectangle P is a scale drawing of rectangle F using a scale factor of 150%. The area of rectangle F is 32 square units. What is the area of rectangle P?
Limit you answer to digits only
Answers
Answer:
128 square units
Step-by-step explanation:
At first I thought it would be as simple as 150% of 32 = 48.
Then I thought about increasing the sides of the rectangle 150% and that would make it 4 times larger.
Simplify by opening the parentheses: (2a−b)+(m−1)
Answers
Answer:
2a -b+m-1
Step-by-step explanation:
(2a−b)+(m−1)
Remove the parentheses
2a -b+m-1
There are no like terms to combine
2a -b+m-1
A 2-pack of ice cream bars costs $0.74. What is the unit price?
Answers
The unit price of the ice cream would be = $0.37
How to calculate the unit price of the ice cream bars?To calculate the unit price of the ice cream, the following steps needs to be taken as follows:
The price of two packs of ice cream = $0.74
Therefore the price of one ice cream which is a unit = 0.74/2 = 0.37.
Therefore the price of one unit of the ice cream = $0.37
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Legendre polynomials are defined recursively as L(0, x) = 1, L(1, x) = x, and for n > 1 : L(n, x) = ((2n − 1)L(n − 1, x) − (n − 1)L(n − 2, x))/n. Use memoization to define a recursive function L which takes on input an int n and a double x. L(n, x) returns a double, the value of the n-th Legendre polynomial at x
Answers
Memoization is a technique used in programming to store the results of expensive function calls and return the cached result when the same inputs occur again. This approach can significantly improve the performance of recursive functions, such as the Legendre polynomials.
To define a recursive function L using memoization, we can create a dictionary or map that stores the previously calculated values of L(n, x). We can then check if the requested value of L(n, x) is already in the dictionary and return it if it is. If not, we can calculate the value using the recursive definition and store it in the dictionary for future use.
Here is an implementation of the memoized L function in Python:
```
memo = {}
def L(n, x):
if n == 0:
return 1
elif n == 1:
return x
elif (n, x) in memo:
return memo[(n, x)]
else:
result = ((2*n - 1)*L(n-1, x) - (n - 1)*L(n-2, x))/n
memo[(n, x)] = result
return result
```
In this implementation, we first check if n is 0 or 1 and return the appropriate base case values. If the requested value is already in the memoization cache, we return it directly. Otherwise, we calculate the value recursively using the provided formula and store it in the cache before returning it.
Using memoization, we can avoid recalculating the same values of L(n, x) multiple times and greatly speed up our computation.
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Select the figure that can be formed by a slice through the sphere
Answers
Answer:
circle
Step-by-step explanation:
13 (3) = ???
Please help ant get the answer for nothing...
Answers
Answer:
39
Step-by-step explanation:
13 x 3?
Consider this function:
f(x) = (16x^3 + 27) (2x^2 + 13x + 15)
Select ALL statements that are true about this function.
a) 16x^3 + 27 is irreducible over the integers
b) 2x^3 + 13x + 15 is irreducible over the integers
c) 4x + 3 is a factor
d) x + 5 is a factor
Answers
Answer:
this is why im failing math
Step-by-step explanation:
yes
Let A, B, C be three sets such that A U B = C & A ∩ B = φ then how do you prove that A = C – B?
Answers
When A U B = C & A ∩ B = φ, then A = C - B. The solution has been obtained by using properties of sets.
What is a set?
In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Curly brackets are typically used to represent sets.
We know that
A - B = (A ∪ B) - B
On substituting A U B = C in this, we get
A - B = C - B ...(1)
Similarly,
A - B = A - (A ∩ B)
On substituting A ∩ B = φ in this, we get
A - B = A ...(2)
From (1) and (2), we get
A = C - B
Hence, when A U B = C & A ∩ B = φ, then A = C - B.
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can someone help me with this final please
Answers
Answer:
Option 1.) y = 125°
Step-by-step explanation:
We know that sum of exterior angles of any polygon is 360°. Therefore we can say;
70° + 60° + 65° + 40° + y° = 360°
235° + y° = 360°
y = 360 - 235
y = 125°
Therefore the measure of ∠y = 125°
Hope this helps!
You are working with the following selection of a spreadsheet: a b 1 customer address 2 sally stewart 9912 school st. North wales, pa 19454 3 lorenzo price 8621 glendale dr. Burlington, ma 01803 4 stella moss 372 w. Addison street brandon, fl 33510 5 paul casey 9069 e. Brickyard road chattanooga, tn 37421 in order to extract the five-digit postal code from brandon, fl, what is the correct function?
Answers
The correct function that gives the right syntax for the given data analysis is; =RIGHT(B3,5)
How to Interpret Data Cleaning Analysis?Data cleaning is defined as the process of fixing or removing data that are incorrect, incorrectly formatted, duplicate, corrupted, or even incomplete data that exists within a dataset.
Now, when we combine multiple data sources, what it means is that there could be many opportunities for the data to be duplicated or mislabeled.
Now, from the question, we can see the given data of the spreadsheet with customer names and address and as such, we can easily say that the correct syntax is =RIGHT(B3,5). This is because the RIGHT Function usually returns a set number of characters from the right side of a text string.
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The record high temperature at the South Pole is 10°F. The record low temperature at the South Pole is
–
117°F.
How many degrees warmer is the record high temperature than the record low temperature?
Answers
Answer:
127 degrees f
Step-by-step explanation:
-117 + ? = 10
1000^8=10x
What does x equal?
Answers
Answer:
x=100000000000000000000000
Step-by-step explanation:
Divide 144g in the ratio 7: 11
Answers
Answer:
88:56 = 11:7
Step-by-step explanation:
Step One
Add the two ratios together 11 + 7 = 18
Now set up a ratio to solve for 11 parts out of 18
11:18 = x:144 Proportion
11 / 18 = x / 144 Equation: Cross mulitiply
11*144 = 18x Combine the left side
1584 = 18x Divide by 18
1584 / 18 = x
88 = x
That is the larger amount (11 is larger than 7)
Find the smaller amount
144 - 88 = 56
The two amounts are in the ratio of 11:7
88:56 = 11:7
I hopes this helps a little bit
Answer:
56g and 88g
Step-by-step explanation:
7x+11x=144
18x=144
x=144/18
x=8
7x=7*8=56g
11x=11*8=88g
if cov(z,x) ≠ 0, then z and x are correlated. a. true b. false
Answers
True. If the covariance between two variables (z and x in this case) is not equal to zero, then it indicates that there is some degree of linear relationship or association between the two variables. Therefore, they are said to be correlated.
A measure of the link between two random variables and how much they fluctuate together is called covariance. Alternately, we may say that it establishes the relationship between the two variables' changes, i.e., that a change in one variable is equivalent to a change in the other. A function has the ability to preserve its shape even after a linear transformation of the input variables. The units of covariance are determined by multiplying the units of the two variables.
True. If the covariance between two variables (z and x in this case) is not equal to zero, then it indicates that there is some degree of linear relationship or association between the two variables. Therefore, they are said to be correlated.
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If cov(z, x) ≠ 0, then z and x are correlated. therefore, the given statement is true. Your answer is: a. True
Covariance (cov) is a measure of how two variables change together.
If the covariance is not equal to 0, it means that there is some correlation between the two variables, z and x.
The correlation can be either positive or negative depending on the direction of the relationship between z and x.
If the covariance between two variables, z and x, is not equal to zero, then it means that there is a linear relationship
between the two variables.
In other words, when one variable increases or decreases, the other variable tends to increase or decrease as well, indicating a correlation between them.
Therefore, if the covariance between z and x is not zero, it implies that z and x are correlated.
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Use square roots to solve the following quadratic equation.
Write your answers from least to greatest with a comma and
space separating each answer. For example: 4,9
m2 - 4 = 77
Answers
M^2=81
Square root of M= square root of 81
M=+ or - 9
M=-9,9
help pretty please and thank you
Answers
9514 1404 393
Answer:
0.404 . . . cm/daythe average growth per day in cmStep-by-step explanation:
The slope is the x-coefficient in the equation, 0.404.
The slope is the rate of change of the dependent variable (height) with respect to the independent variable (number of days). In this case, it is the average increase in the plant's height each day, in cm.
"For the primal problem given below, write the Dual equivalence. C₁T X₁ + C₂T X₂ → min A₁X₁ > b₁
A₂ X₂ = b₂ X ₂ > 0
"
Answers
The equality constraint A₂X₂ = b₂ becomes the second constraint in the dual problem, and X₂ > 0 corresponds to λ₂ ≥ 0 in the dual problem.
To write the dual problem equivalent to the given primal problem, we can follow these steps:
1. Define the variables:
Let λ₁ and λ₂ be the dual variables corresponding to the constraints A₁X₁ > b₁ and A₂X₂ = b₂, respectively.
2. Define the objective function:
The objective function of the primal problem, C₁T X₁ + C₂T X₂, will become the constraints of the dual problem with the coefficients as the variables.
3. Write the dual problem:
Maximize Z = b₁λ₁ + b₂λ₂ subject to:
- A₁T λ₁ + A₂T λ₂ ≤ C₁
- λ₂ ≥ 0
The dual problem is written in its standard form, where Z represents the dual objective function to be maximized. The constraints of the primal problem become the objective function of the dual problem, and the coefficients of the primal variables become the constraints in the dual problem.
Note that the signs of the inequalities may change depending on the original problem's constraints (≤ or ≥). In this case, the original problem had A₁X₁ > b₁, so the corresponding constraint in the dual problem is A₁T λ₁ + A₂T λ₂ ≤ C₁.
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Ming walks down a street. The house numbers on one side of the street are all multiples of 2. The house numbers on the other side of the street are all multiples of 6. Are all the house numbers even
Answers
Answer:
yes
Step-by-step explanation:
Because 2 and 6 are even numbers, all their multiples are even numbers
Suppose you go from the earth to a planet where the acceleration of gravity is 2.5 m/s?. On the new planet; your weight will be times its value on earth b. b) Va times its value on Earth the same its value on Earth d can"t tell Clear my choice
Answers
On the new planet, your mass will be the same. Therefore, the correct option is A.
The mass of an object is a fundamental property that remains constant regardless of the location or environment. Therefore, if you were to travel from Earth to a planet with an acceleration of gravity of 2.5 m/s², your mass would remain the same. Therefore, the correct answer is A: the same.
It is important to note that although the mass remains constant, the weight of the object may vary based on the strength of gravity. Weight is the measure of the force of gravity on an object, and it is directly proportional to the acceleration of gravity. As the acceleration of gravity increases, the weight of an object also increases.
Note: The question is incomplete. The complete question probably is: Suppose you go from the earth to a planet where the acceleration of gravity is 2.5 m/s. On the new planet, your mass will be about a. a) the same b. b) 7 times its value on Earth c. c) 2 times its value on Earth d. d) 4 times its value on Earth.
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There is $100 on a gift card. $45 was spent on a pair of shoes. The rest will be spent on $5 cups of coffee. What is the maximum number of cups of coffee that can be bought?
Let c Represent:
Inequality:
Solution:
Answers
Answer: A solution to an equation is a number that can be plugged in for the variable to make a true number statement. Example 1: Substituting 2 for x in.
Step-by-step explanation:
,11
Step-by-step explanation:
let's face it.
100-45=55. 55/5=11
therefore,The maxium number is 11
what is the answer to this question im having trouble 3 x 2 - x?
Answers
Answer and Step-by-step explanation:
3 x 2 - x = ? Well, if you simplify it's just 5x. But, if you are trying to solve this then you have to know what x is or what your answer is. But, if you're trying to solve 3 x 2 = x then x would equal 6. Of course, if you know the answer or what x equals then plug it in as such, let's say x = 2 then you would plug 2 in for x and solve, 3 x 2 = 6 - 2 = 4. But, if you are trying to solve for x then look at the answer, let's say it is 24 so, 3 x 2 - x = 24, x would equal -18.
Hope this helped you out! Have a wonderful day!
**Note, I didn't understand what you were asking, that's why I went into so much detail to help you out. Please, be clearer with your questions. Make sure you got all the whole question in there! Thank you!**
Find a vector parallel to the line of intersection of the planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7
Answers
The vector <-32, 44, 22> is parallel to the line of intersection of the two planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7.
To find a vector parallel to the line of intersection of the planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7, we first need to find the direction vector of the line of intersection.
We can find the direction vector by taking the cross product of the normal vectors of the two planes. The normal vector of the plane 2x - 3y + 5z = 2 is <2, -3, 5>, and the normal vector of the plane 4x + y - 3z = 7 is <4, 1, -3>. Taking the cross product of these two vectors, we get:
<2, -3, 5> × <4, 1, -3> = <-16, 22, 11>
This vector <-16, 22, 11> is the direction vector of the line of intersection of the two planes.
To find a vector parallel to this line, we can simply multiply the direction vector by a scalar. For example, we can choose a scalar of 2 to get:
2<-16, 22, 11> = <-32, 44, 22>
Therefore, the vector <-32, 44, 22> is parallel to the line of intersection of the two planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7.
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