Which ordered pair is in the solution set of the system of inequalities shown in the graph?
Answers
ordered pair is in the solution set of the system of inequalities shown in the graph will be (1, 5)
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
Set of such values is called solution set to the considered equation or inequality.
The shaded portion will be consider as the dashed line joining points
The portion affected by the two shadings would be the portion common to the right of the dashed line joining points
The ordered pair is in the solution set of the system of inequalities shown in the graph will be (1, 5)
Hence, ordered pair is in the solution set of the system of inequalities shown in the graph will be (1, 5)
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Related Questions
What is the y-intercept of the line of best fit?
What is the slope of the line of best fit for this scatter plot?
What is the equation of the line of best fit?
Answers
The y-intercept of the line of best fit is the point at which the line crosses the y-axis.
What is the equation of the line of best fit?The y-intercept of the line of best fit is the point where the line intersects the y-axis.It is calculated by finding the value of y when x is equal to 0.The slope of the line of best fit is the rate of change between two points on a line.It is calculated by finding the difference between two points on the line and dividing it by the difference between their corresponding x-values.The equation of the line of best fit is typically expressed as y = mx + b, where m is the slope and b is the y-intercept.The y-intercept of the line of best fit is -0.45.
The slope of the line of best fit is 0.81.
The equation of the line of best fit is y = 0.81x - 0.45.
It is the value of y when x is equal to zero. In this scatter plot, the y-intercept is 4.56.The slope of the line of best fit is the rate at which the line increases or decreases. It is the amount that y changes for every unit change in x. In this scatter plot, the slope of the line is 0.45.The equation of the line of best fit is a linear equation that describes the relationship between the two variables. In this scatter plot, the equation of the line of best fit is y = 0.45x + 4.56. This means that for every unit increase in x, y increases by 0.45, and the line starts at 4.56 when x equals zero.To learn more about The line of best fit for this scatter plot refer to:
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Liv earns $9.50 for every two bracelets she sells. The equation y = 4.75x can be used to represent this situation. What is the constant of proportionality? What does the constant of proportionality represent in the context of the problem??
Answers
The constant of proportionality is 4.75 and it is the amount earned from each bracelet
What is the constant of proportionality?From the question, we have the following parameters that can be used in our computation:
y = 4.75x
A linear equation represented as y = mx has its constant to be m
This means that the constant of the equation is 4,75
The constant of proportionality represent the amount earned from each bracelet in the context of the problem
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The constant of proportionality is 4.75 and it represents the amount of money, in dollars, that Liv earns for every bracelet she sells. .
What is the Constant of Proportionality?The constant of proportionality is represented by a symbol, such as k, and can be used to write an equation for a proportional relationship, such as y = kx, where y and x are the two variables and k is the constant of proportionality.
Therefore, the constant of proportionality in the equation y = 4.75x is 4.75. It represents the amount of money, in dollars, that Liv earns for every bracelet she sells.
In other words, it is the ratio of the amount of money earned to the number of bracelets sold.
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Suppose the line contains the points (4,0) and (0,-2). If x = 3, find y.
Answers
The line which contains the points (4,0) and (0,-2), value of y when x =3 is, -1/2
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The two point form of a straight line is y-y₁ = y₂-y₁/x₂-x₁(x-x₁).
Given that,
The points, (4,0) and (0,-2)
Equation of line for given two points,
y-y₁ = y₂-y₁/x₂-x₁(x-x₁)
y-0 = -2 - 0/0-4(x-4)
y = 1/2(x - 4)
2y = x - 4
when x = 3,
y = 1/2(3 - 4)
y = - 1/2
Hence, the value of y is -1/2
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to take students through a series
of questions pertaining to the genetics of sickle cell disease and its relationship to malaria resistance. We divided the
questions into sections: "Mendelian Genetics and Probability," "Pedigrees," and "Chi-Square Statistics." Within each
section, the questions sequentially move from a basic level to a more advanced level in order to develop the skills of the
students. True Or False
Answers
True.
Dividing the questions into sections, such as "Mendelian Genetics and Probability," "Pedigrees," and "Chi-Square Statistics," and progressing from basic to more advanced questions can help students develop their understanding of the genetics of sickle cell disease and its relationship to malaria resistance by building on their prior knowledge and gradually increasing the difficulty of the material.
Sickle Cell Disease GeneticsBreaking down the questions into different sections and organizing them in a way that starts with basic concepts and gradually becomes more challenging is an effective teaching method. This allows students to build on their existing knowledge and gradually gain a deeper understanding of the topic at hand, in this case, the genetics of sickle cell disease and its relationship to malaria resistance.
This approach can help students to better absorb and retain the information, making it easier for them to apply their knowledge to new and more complex problems.
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graph the equation x+2y=4
Answers
The graph of the equation x + 2 y = 4 has been obtained.
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
To graph an equation, we first need to calculate some points satisfying the equation.
We are given the equation: x + 2 y = 4
First we will find some points:
x 0 4 2
y 2 0 1
Now, we will plot these points on the graph as shown in the image.
Therefore, the graph of the equation x + 2 y = 4 has been obtained.
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The square root of 28 is
Answers
Answer:
The answer is 5.29 or the longer answer is 5.29150262
6x + y = -39
3× + 2y = -15
Answers
Answer: The solution to the system of equations is x = 7 and y = -2.
Step-by-step explanation:
The system of equations can be solved using substitution method.
First, solve one of the equations for one of the variables. For example, from the first equation, we can solve for x:
x = (-39 - y)/6
Substitute this value of x into the second equation:
3((-39 - y)/6) + 2y = -15
Solve the resulting equation for y:
-13 - y/2 + 2y = -15
y = -2
Substitute this value of y back into the equation we used to solve for x:
x = (-39 - (-2))/6
x = 7
The solution to the system of equations is x = 7 and y = -2.
find a formula for a function that has vertical asymptotes x = 5 and x = 8 and horizontal asymptote y = 5.
Answers
The formula for a function that has vertical asymptotes is x=5 and x=8 and horizontal asymptote y=5 is f(x)=(5x²)/(x²-13x+40)
In order to find a function that fits the criteria given, you need to know how to find the asymptotes in the first place.
Vertical Asymptotes: we set the denominator equal to 0 and solve for x
Horizontal Asymptotes: we compare the degree of the numerator and denominator; if the degrees are equal, the HA equals the ratio of the leading coefficients, which is the case for this question
For the vertical asymptotes, if x = 8 and x = 5, then we can write the factors as (x - 8) and (x - 5).
For the horizontal asymptotes, if y = 5, the degree of the numerator and denominator are equal so the ratio of the leading coefficients must be 5/1.
f(x) = (5x²) / [(x-8)(x-5)] which can be rewritten as f(x) = (5x²) / (x2-13x+40)
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Find the Range of the function:
F(x) = 3x + 7 for the domain {-1, 0, 1, 2}
Answers
Answer:
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain:(−∞,∞),{x|x∈R}Range: (−∞,∞),{y|y∈R}
Step-by-step explanation:
Skylar’s Bed and Breakfast has $126,500 in total assets, depreciation of 3,500, and interest of $1,850. The total asset turnover rate is 1. 2. Earnings before interest and taxes are equal to 24 percent of sales. What is the cash coverage ratio?
Answers
The cash coverage ratio of Skylar's Bed and Breakfast is 18.63
The cash coverage ratio is a measure of a company's ability to meet its short-term financial obligations. It is calculated as the ratio of earnings before interest and taxes (EBIT) to interest expense.
To calculate the cash coverage ratio, we need to first calculate EBIT. Since we know that EBIT is equal to 24 percent of sales and the total asset turnover rate is 1.02, we can use that information to calculate sales:
Total assets = 126,500
Depreciation = 3,500
Interest = 1,850
Total assets + depreciation + interest = 126,500 + 3,500 + 1,850 = 132,850
Sales = Total assets / Total asset turnover rate = 126,500 / 1.02 = 124,019.608
EBIT = 24 percent of sales = 24/100 * 124,019.608 = 29,764.7059
Now we can calculate the cash coverage ratio:
Cash coverage ratio = EBIT / Interest = 29,764.7059 / 1,850 = 16.08
So the cash coverage ratio is 16.14, which means that the company's EBIT is 16.14 times greater than its interest expenses, indicating a strong ability to meet its short-term financial obligations.
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What is the value of the logarithm log 750?
Answers
The value of the given logarithm log(750) = 2.875.
A logarithm is the power to which a number must be raised in order to get some other number.
A logarithm is defined as the power to which a number must be raised to get some other values. It is the most convenient way to express large numbers. A logarithm has various important properties that prove multiplication and division of logarithms can also be written in the form of logarithm of addition and subtraction.The common logarithm is also called the base 10 logarithms. It is represented as log10 or simply log
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there are 16 secret agents who each know a different piece of secret information. they can telephone each other and exchange all the information they know. after the telephone call, they both know everything that either of them knew before the call. what is the minimum number of telephone calls required so that all of them know everything?
Answers
The minimum number of telephone calls needed so that all of secret agents know everything is 28.
The number of secret agents = 16 (i.s even)
So
The minimum number of calls required can be determined by( 2N - 4)
n represents the number of agents
Now find the number of minimum calls:
The minimum number of calls = ( 2(16) - 4 )
The minimum number of calls = ( 28 )
So in a situation where there are 16 secret operatives, each of whom is aware of a different piece of secret data. They can call each other and exchange all of the information they have. They both know everything they need to be known before the phone call; the minimum number of telephone calls needed is 28.
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Find the integer a such that
a) a ≡ 43 (mod 23) and −22 ≤ a ≤ 0.
b) a ≡ 17 (mod 29) and −14 ≤ a ≤ 14.
c) a ≡ −11 (mod 21) and 90 ≤ a ≤ 110
Answers
a) To find the integer a such that a ≡ 43 (mod 23) and −22 ≤ a ≤ 0, we can use the following steps:
Start with the given congruence: a ≡ 43 (mod 23)Add or subtract multiples of 23 to an until the value of a is between -22 and 0.The smallest such value of a that satisfies the given congruence and the inequality is a = 20b) To find the integer a such that a ≡ 17 (mod 29) and −14 ≤ a ≤ 14, we can use the following steps:
Start with the given congruence: a ≡ 17 (mod 29)Add or subtract multiples of 29 to an until the value of a is between -14 and 14.The smallest such value of a that satisfies the given congruence and the inequality is a = -12c) To find the integer a such that a ≡ −11 (mod 21) and 90 ≤ a ≤ 110, we can use the following steps:
Start with the given congruence: a ≡ −11 (mod 21)Add or subtract multiples of 21 to an until the value of a is between 90 and 110.The smallest such value of a that satisfies the given congruence and the inequality is a = 101It is important to notice that a,b, and c are unique solutions, which means there isn't another solution that satisfies the condition.
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Refer to diagram shown
Answers
The measure of <HMG is 40 degree.
What is Angle Sum Property?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
Given:
In triangle HJL
HJ = HL (given)
let <HJL = <HLJ= 75 (Angles opposite to equal side also equal)
Using Angle Sum property in HKL
75 + 90 + <KHL = 180
<KHL = 180 - 165
<KHL = 15
Now, in Triangle HKM
<KHM = 35 + 15 = 50
So, Using Angle Sum property
50 + 90 + <HMK = 180
<HMK = 180- 140
<HMK = 40
Hence, the measure of <HMG = 40 degree.
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Please write word answer that I can use
Answers
Based on properties of quadrilaterals we can say Shawndra is correct.
How to determine who is correct using the properties of quadrilaterals?
A rectangle is a type of quadrilateral that has four right angles (90 degrees) and opposite sides that are equal in length. A square is a special type of rectangle, which is a rectangle with four congruent sides.
A trapezoid is a quadrilateral with one pair of parallel sides. A rectangle cannot be a trapezoid because a trapezoid does not have to have opposite sides that are congruent.
A square is a rectangle, but all rectangles are not squares. A square is a special type of rectangle, which is a rectangle with four congruent sides.
In summary, it is not possible to draw a trapezoid that is a rectangle, but it is possible to draw a square that is a rectangle. Thus, Shawndra is correct.
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Is 2 an algebraic expression?
Answers
No, 2 is a number, not an algebraic expression.
Thus, No, 2 is a number, not an algebraic expression. An algebraic expression is a combination of numbers, variables, and mathematical operations (such as +, -, x, /) that can be evaluated to a single numerical value. Examples of algebraic expressions include 2x + 3 and 4y - 7.
Algebraic expressions can also contain exponents and roots, and can be combined using arithmetic operations. Algebraic expressions are used in many mathematical and scientific fields, and are fundamental to understanding advanced mathematical concepts such as algebra, calculus and more.
Therefore, No, 2 is a number, not an algebraic expression.
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A line segment whose endpoint are on the circle is called a __________ of a circle .
Answers
Answer: i thin k its called a CHORD
Step-by-step explanation:
a number 1-72 is chosen at random find each probability
P(odd or at most 16)
Answers
Probability to find a number odd or at most 16,
P(odd or at most 16) = 7/18
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Given sample
Number 1 - 72
There are 36 odd numbers in between 1 to 72
Probability to find odd numbers P(odd) = 36/72 = 1/2
There are 16 numbers at most 16
Probability to find at most 16 P(at most 16)= 16/72 = 2/9
P(odd or at most 16) = P(odd) + P(at most 16) - P(odd and at most 16)
= 1/2 + 2/9 - (1/2 × 2/9)
= 1/2 + 2/9 - 2/18
= (9 + 4 - 2)/18
= 7/18
Hence, 7/18 is probability to find a number odd or at most 16.
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Please select the best answer from the choices provided.Simplify 2(csc^2theta - cot^2 theta) a. sin theta b. cos theta c. 2d. 1
Answers
Answer:
c
Step-by-step explanation:
using the identity
• 1 + cot²x = csc²x
given
2(csc²Θ - cot²Θ )
= 2(1 + cot²Θ - cot²Θ)
= 2(1)
= 2
How do you find the distance between two points in Class 9?
Answers
We can use the distance formula d=((x2 - x1)² + (y2 - y1)²) to find the distance between the two points.
What is the distance?The total movement of an object, independent of direction, is its distance.
The amount of space that an object has traveled, regardless of where it started or ended, is referred to as distance.
We can determine an object's actual size by learning how far it is from us.
The area that an object occupies in the sky can be measured.
The distance to an object is then necessary to calculate its real size.
A thing appears smaller the farther it is away.
The length of the line segment bridging two points on a planar is known as the distance between both points.
d=((x2 - x1)² + (y2 - y1)²) is a popular method for determining the distance between two points.
Therefore, we can use the distance formula d=((x2 - x1)² + (y2 - y1)²) to find the distance between the two points.
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how to add fractions with different denominators and numerators?
Answers
Find the Lowest Common Multiple (LCM) between the denominators as the first step. Step 2: Multiply each fraction's numerator and denominator by a certain amount to give them the LCM as their new denominator. Step 3: Change the denominator but add or subtract the numerators.
Fractions with Differing Numerators: Adding and Subtracting Fractions:
GET A COMMON DENOMINATOR AS THE FIRST STEP.Add or remove the numerators in step two.If necessary, simplify the outcome. Due to the fact that both the numerator and denominator may be divided by three, the expression 1/37 can be simplified. Fraction Addition with Different NumeratorsVerify the fractions' denominators.By determining the LCM of the denominators and rationalising them, make the denominators of the fractions the same.Keeping the denominator the same, add the fractional numerators.To obtain the final sum, simplify the fraction.Learn more about fractions Visit: brainly.com/question/78672
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John a salesperson and Peter a supermarket employee compare their earnings for a particular week. John and a basic salary of 1340 per week and a commission of 10% on all sales over 40,000 shillings his sales for that week were 49,800 shillings. Peter worked 43 hours at a basic rate of 48 shillings per hour. On Friday and Saturday, he worked for two extra hours both days. The overtime rate on Friday is one and half time
and on Saturday it is double time of normal rate .
a)calculate how much each and and get their difference.
Answers
Using mathematical operations, John earned 2320 shillings in a week, Peter earned 2400 shillings in a week. Peter earned 80 shillings more than John.
An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. Scalars in MATALB can be multiplied, divided, added to, subtracted from, multiplied by, and have exponents applied to them. These operators can be used to arrange calculations involving vectors and matrices in a straightforward manner.
As per question,
John earns,
1340 per week and 10% on sales over 40,000 shillings
⇒ 1340 + (49800 - 40000) × 0.10
⇒ 2320 shillings
John earned 2320 shillings in a week
Peter earns,
43 hours at a basic rate of 48 shillings per hour
On Friday and Saturday, he worked over - time for 2 hours,
pay for Friday = 72 shillings,
pay for Saturday = 96 shillings
⇒ 43 × 48 + 72 × 2 + 96 × 2
⇒ 2400 shillings
Peter earned 2400 shillings in a week
Difference = 2400 shillings - 2320 shillings = 80
As we can observe that Peter earned 80 shillings more than John.
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there are 30 students in a class 1-10 of the students say red is their favorite color How many students like red
Answers
Answer: 3
Step-by-step explanation: if there are 30 students and 1 out of 10 like red then it’s 3 because there are 3 groups of ten in 30 so 3 out of 3 will like red
Answer:
3
Step-by-step explanation:
let x = # of students who like red
x/30 = 1/10 cross multiply to solve for x
10x = 30
x = 30/10 = 3
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
5 /4 -17 -15
20 15
4 3 0
□ A. (4x²-17x-15) ! (n-k)! (x+5) = (4x+3)
B. (x+5) is a factor of 4x²-17x-15.
C. (4x²-17x-15) n(n-k)! (x-5) = (4x+3)
D. (x-5) is a factor of 4x² - 17x-15.
E. The number 5 is a root of F(x) = 4x² - 17x-15.
F. The number -5 is a root of F(x) = 4x² - 17x-15.
Answers
The correct statements about the synthetic division are C, D, F.
What is synthetic division ?Synthetic division can be defined as a simplified way of dividing a polynomial with another polynomial equation of degree 1 and is generally used to find the zeroes of polynomials.
How to illustrate the information?
It should be noted that 4x² - 17x - 15 will be:
= 4x² - 20x - 3x - 15
= (x - 5)(4x + 3)
The roots of the polynomial will be:
= f(x) = 0
(x - 5) = 0
x = 5
4x + 3 = 0
x = -3/4
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how do i solve 2(-3x+4)=5x+2?
Answers
2(-3x+4)=5x+2
1. distribute..
2*-3x=-6x
2*4=8
-6x+8=5x+2
2. subtract from both sides...
8-8=0
8-2=-6
-6x=5x-8
5x-5x=0
3. simplify...
-6x-5x-6x-5x-6x-5x=-11x
4. divide from both sides...
-11x=-6
-11x-11=0
-6/-11...
5. your result/answer
x=6/11
I hope this helps you!!
Answer:
1.8
Hope this is helpful!!!!!!!!!
8+2x3-6 divided by 2
Answers
Answer:
4
Step-by-step explanation:
Skarleth is considering whether to apply for a credit card or debit card at her bank. The credit card will charge 3% interest if she does not pay her balance in full each month. If she spends $2,000 this month and doesn’t pay it back, how much will she owe in interest?
Answers
If she spends $2,000 this month and doesn’t pay it back. Then the amount of interest that she owes will be $60.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The credit card will charge 3% interest if she does not pay her balance in full each month. If she spends $2,000 this month and doesn’t pay it back. Then the amount of money that she owes will be given as,
⇒ 3% of $2,000
⇒ 0.03 x $2,000
⇒ $60
The amount of interest that she owes will be $60.
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How to do factored form in math?
Answers
The term factored form is an algebraic expression with the product of its factors
Here we need to define the factored form in math.
The factored form in math is known as the process of expressing a given number or algebraic expression as the product of its factors is called factoring.
The following three ways are used to convert any quadratic expression into factored form, that is
1) Finding GCD
2) Use identify that is a² - b²
3) Using the identity (x + a) (x + b).
Basically the factored form of a quadratic equations are very helpful in finding its roots or solutions.
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Help will be greatly appreciated!
The manager of fast food restaurant collected data to study the relationship between the number of employees working registers and the amount of time customers waited in line to order. He made a scatter plot of the data and credited a trend line with the equation y= -70x+300, where y is the total amount of time waited in seconds and x is the number of employees working registers.
1. Did the scatter plot of data positive, negative, or no association? Explain your reasoning.
2. Maria went to the restaurant and waited 90 seconds to place her order. Use the trend line equation to predict how many employees were working.
3. Kiara went to the restaurant and waited 3.5 minutes. Use the trend line to predict how many employees are working.
4. Ashton walked into the restaurant and 4 employees are working registers. Use the trend line equation to predict how long he will wait to place his order.
Answers
The scatter plot of the data is negative association.
What is Scatterplots?Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.
1. Given the relationship between the number of employees working registers and the amount of time customers waited in line to order as,
y = -70x + 300
When x = 0, y = 300
When x = 1, y = 230
When x = 2, y = 160
.........................
So the value of y is decreasing as the value of x increases.
This is a negative association.
2. y = 90 seconds
-70x + 300 = 90
-70x = -210
x = 3
3. y = 3.5 minutes = 210 seconds
-70x + 300 = 210
-70x = -90
x = 9/7 = 1.3
There may be two employees working.
4. x = 4
y = (-70 × 4) + 300
= 20
Hence the given scatterplot is a negative association and the value of x and y can be calculated using the trend line equation.
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Classify the angle pair. Select all choices that apply.
Answers
1) Complementary
2) Supplementary
3) Adjacent
4) Linear Pair
5) Vertical