The solution of the linear inequation -8 - 4x > 1 is x < [tex]-\frac{9}{4}[/tex]
-10 satisfies the given linear inequation
Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by >, <, ≥, ≤
A one degree inequation is known as linear inequation.
The given linear inequation is
-8 - 4x > 1
Now,
-8 - 4x > 1
-4x > 1 + 8
-4x > 9
x < [tex]-\frac{9}{4}[/tex]
-10 satisfies the given linear inequation
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9. There were 15 questions on the last quiz in
Mrs. Lorenzo's class. A student answered
13 questions correctly. Write the ratio of
correct answers to total questions as a
decimal. (Lesson 1)
Answer:
13:15
1:1.5
0.5:0.575;is the ratio of
correct answers to total questions as a
decimal.
On a coordinate plane, a parabola with a dashed boundary line opens down. It goes through (negative 8, 0), has a vertex at (negative 6, 2), and goes through (negative 4, 0). Which inequality in standard form represents the shaded region? y less-than negative x squared minus 12 x minus 32 y less-than negative one-half x squared minus 6 x minus 16 y less-than negative one-half x squared + 6 x minus 16 y less-than negative x squared + 12 x minus 32.
The inequality y < -1/2x² - 6x - 16 corresponds to the right representation.
Along with passing through (-8, 0), (-6, 2), and (-4, 0), it also has a vertex there.
We need to find its equation.
We must take into account the provided details on the parabola's properties and its points in order to choose the proper inequality to symbolize the shaded area of the parabola.
The vertex of the parabola is at (-6, 2), and it opens downward. This indicates that the equation for the parabola is of the type y = a(x - h)² + k, where (h, k) denotes the vertex.
In this case, h = -6 and k = 2.
Plugging in the values of the vertex into the equation, we have:
y = a(x - (-6))² + 2
y = a(x + 6)² + 2
Now we can use one of the points that the parabola passes through to solve for the value of 'a'.
The point (-8, 0) lies on the parabola. Substituting these values into the equation:
0 = a(-8 + 6)² + 2
0 = a(-2)² + 2
0 = 4a + 2
4a = -2
a = -1/2
Substituting the value of 'a' into the equation:
y = (-1/2)(x + 6)² + 2
Expanding and rearranging the equation:
y = (-1/2)(x² + 12x + 36) + 2
y = (-1/2)x² - 6x - 18 + 2
y = (-1/2)x² - 6x - 16
Therefore, the correct inequality that represents the shaded region is:
y < -1/2x² - 6x - 16
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This shows a graph.
Where is the function increasing?
The function increases when x > 0
The function increases when x > 1
The function increases when x > 2
The function increases when x > -3
The function of the graph increases at x > 2
What is inequality?inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
The graph starts from point (-3, 1) and remained at 1 while x changed from -3 to 2. above point 2 which is x > 2 y is seen to first change to 2 when x got to 3.
So the function increases when x > 2.
In conclusion the function increases when x > 2
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Suppose the odds of rain today are 5:9
What would be the probability that it will rain today?
The probability is the odds thus the probability it will rain today will be 5/9.
What is probability?Probability is also known as chance because, if you flip a coin, the chance that it will strike on its head or tail is just a chance that either a head will make an appearance or not.
As per the given,
The odds of rain today are 5:9
Odds will be the equivalent of probability because probabilities is the same as chances.
The probability will be 5/9 or 5:9.
Hence "Since probability implies odds, so possible that it will rain tonight is 5/9.".
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pls help I don't want to fail
Answer:
y = 3x
Step-by-step explanation:
With each x value on the table, the y value is multiplied by 3
Answer:
y=3x
Step-by-step explanation:
Each y value is equal to the corresponding x value times three.
Jerry makes souvenirs to sell in his shop. For one batch of souvenirs, he spends 200 dollars for materials and hopes to make 1,000 dollars in profit. He writes the equation pn−200 = 1,000 to represent the price, p, in dollars, for each souvenir and the number of souvenirs, n, that he needs to sell to make 1,000 dollars in profit. He knows that he can make at most 400 souvenirs from the materials.
To make 1,000 dollars in profit, he needs to sell each souvenir with a price of $3.
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
pn−200 = 1,000
Substitute n =400
400p - 200= 1000
400p = 1000 + 200 = 1200
p= 1200/400 = 3
=> To make 1,000 dollars in profit, he needs to sell each souvenir with a price of $3.
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HELP ME HELP ME!!!! WHAT IS 1+1
You have a surfboard at the store you work at that has a price tag of $800.
You were told that it will cost $745 when it goes on sale this Friday.
You are asked to make a poster describing the sale. They want the poster to say
Surfboards
____% off
Today only!
Calculator the % of sale.
Answer:
Hope this is helpful
Step-by-step explanation:
50% off Today Only!
Find the unit vector (in component form)
12) a = (12, -35)
Unit vector in the direction of a
anna lisa bought two dozen apples for $\$$15.60. at that same rate, how much would three dozen of these apples cost?
Three dozen of these apples cost if Annalisa bought is equivalent to $23.40.
Given that:
Annalisa bought two dozen apples for $15.60.
Therefore, the value of one dozen apples will be calculated by dividing both values by 2.
i.e. We can say that,
Annalisa bought one dozen apples for $15.60/2 = $7.80.
So, we have to find out the value of three dozen of these apples.
Hence, we multiply both the 3 to get the cost of three dozen of apples.
Multiplying we get,
Annalisa if bought three dozen apple costs = $7.80 x 3 = $23.40.
We also know that, one dozen = 12 apples
So, three dozen = 36 apples
Therefore, we can say the cost of one apple = 23.40/36 = $0.65
Hence, it costs $23.40 for three dozen apples to Annalisa.
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The ratio of Pablo's age to Richard's age is 6: 7. The ratio of Pablo's age to Tristan's age is
5: 4. Find the ratio of Pablo's age to Richard's age to Tristan's age.
Answer:
The ratio of Pablo's age to Richard's age to Tristan's age is 6:7:4.
Step-by-step explanation:
The ratio of Pablo's age to Richard's age is 6: 7 and the ratio of Pablo's age to Tristan's age is 5: 4. To find the ratio of Pablo's age to Richard's age to Tristan's age, we can first find the ratio of Richard's age to Tristan's age by multiplying the ratios of Pablo's age to Richard's age and Pablo's age to Tristan's age. The product of these ratios is 6/7 * 5/4 = 30/28. Since the ratio of Pablo's age to Richard's age is 6:7, we can add this ratio to the ratio of Richard's age to Tristan's age to find the ratio of Pablo's age to Richard's age to Tristan's age. Thus, the ratio of Pablo's age to Richard's age to Tristan's age is 6:7:4.
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the bone density test scores that can be used as cutoff values separating the lowest 3% and highest 3%, indicating levels that are too low or too high, respectively.
The bone density scores are -1.88, 1.88
What is Standard Normal Deviation ?A normally distributed deviation is a standard normal deviate. A standard normal random variable is a realization of a random variable with an expected value of 0 and a variance of 1.
The z score for the lowest 3%(0.03) calculated from the standard normal table = -1.88
X1 = 0+1× (-1.88 ) = -1.88
Similarly, The z score for the highest 3%(0.03) calculated from the standard normal table = +1.88
X2 = 0+1× (1.88 ) = +1.88
So
The bone density scores are -1.88, 1.88
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What is the LCD of
17x/(x+1)(x+1) and x² /x² -1
Answer:
To find the least common denominator (LCD) of two fractions, we need to find the least common multiple of the denominators of the fractions. The first fraction is 17x / (x + 1)(x + 1), and the second fraction is x² / x² - 1. The denominators of these fractions are (x + 1)(x + 1) and x² - 1, respectively.
To find the least common multiple of (x + 1)(x + 1) and x² - 1, we need to first factor each denominator. The denominator (x + 1)(x + 1) can be factored as (x + 1)², and the denominator x² - 1 can be factored as (x + 1)(x - 1). The least common multiple of these two denominators is (x + 1)², which is the LCD of the two fractions. Therefore, the LCD of 17x / (x + 1)(x + 1) and x² / x² - 1 is (x + 1)².
Step-by-step explanation:
You plan to put anti-theft devices on each garment in your store. You have 575 garments and it takes an employee 30 seconds to tag a garment. How many hours will it take 3 employees to tag all garments?.
The number of hours it will take 3 employees to tag all garments is 1.60 hour
How to determine the number of hours it will take 3 employees to tag all garments?.From the question, we have the following parameters that can be used in our computation:
Number of garments = 575
Time taken by an employee on a garment = 30 seconds
This means that the variation is an inverse variation
If the time taken by an employee on a garment is 30 seconds
Then the time taken by 3 employees on a garment is
Time taken = 30 seconds/3
Evaluate
Time taken = 10 seconds
For 575 garments, we have
Time taken = 10 seconds * 575
Evaluate
Time taken = 5750 seconds
Express in hours
Time taken = 1.60 hour
Hence, the time taken is 1.60 hour
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What shape is the cross section of a triangular pyramid sliced by a plane that is perpendicular to its base?
A triangle shape is formed by the cross-section of a triangular pyramid sliced by a plane that is perpendicular to its base
A triangular pyramid is a geometric solid having a triangle for a base and three triangles with the same vertex on each side. That is, the triangular pyramid is made up of four triangles. Pyramids made of triangles might be straight or inclined. It resembles a pyramid with four triangular faces that meet at one vertex and a triangular base.
Let's first draw the triangular pyramid. Now, mark the base. Then, denote the plane passing perpendicular to the base. From the diagram we can tell, the plane cuts this pyramid to form a triangle cross-section.
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What is 2/3 of a figure?
Multiply your number by 2/3. If you have a whole number, divide it by a denominator of 1 to get a fraction.
Calculate numerator times numerator, then denominator times denominator when multiplying fractions. For instance, multiply 2/3 x 18/1 to get 36/3 in order to discover two thirds of 18.
Divide the resulting fraction by the common denominator to reduce it as necessary. For instance, 36 and 3 both have 3 as their common denominator. You get a fraction of 12/1 when you divide 36 and 3 by 3, which is equal to 12. Therefore, 12 is equal to 2/3 of 18.
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Write 14/5 as a mixed number
Answer:
2 4/5
Step-by-step explanation:
14 = 10 + 4
10/5 = 2
4/5
Find a low-rank approximation Compute the optimal rank-2 approximation of the symmetric matrix 3.75 -1.25 0.25 -1.75 -1.25 3.75 -1.75 0.25 A= given that the columns of 0.25 -1.75 3.75 -1.25 -1.75 0.25 -1.25 3.75 of A are eigenvectors A2 = Save & Grade 10 attempts left Save only Additional attempts available with new variants
Previous question
Answer: 53.213
Step-by-step explanation:
Freshman and sophomores were surveyed during lunch about their favorite professional football team.
A bar graph with the first bar labeled Jaguars, divided into freshmen from 0 to 40 percent and sophomores from 40 to 100 percent. The second bar is labeled Dolphins, with freshman from 0 to 45 percent and sophomores from 45 to 100 percent, and the third bar is labeled Buccaneers, with freshmen from 0 to 45 percent and sophomores from 45 to 100 percent.
If 140 students selected Jaguars, how many of those students are freshman?
56 students
63 students
77 students
84 students
With the use of proportions, it was discovered that (D) 96 of the 160 students who chose the Jaguars as their favorite team were sophomores.
What are proportions?A percentage is a component of the total amount, and the three-step rule is used to relate the measurements.
This makes it possible to construct direct or inverse proportional relationships between variables to find the necessary measures in the issue.
When determining if two ratios or fractions are equivalent, the proportion formula is utilized.
By dividing the supplied values, we may determine the missing value.
So, we know that 160 students chose the Jaguars as their favorite team for this issue.
Given that 100 - 40 = 60% of the students in the bar graph were sophomores, the number of sophomores who support the Jaguars is as follows:
96 students are 0.6 times 160.
Therefore, with the use of proportions, it was discovered that (D) 96 of the 160 students who chose the Jaguars as their favorite team was sophomores.
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Complete question:
Freshmen and sophomores were surveyed during lunch about their favorite professional football team.
A bar graph with the first bar labeled Jaguars, divided into freshmen from 0 to 40 percent and sophomores from 40 to 100 percent. The second bar is labeled Dolphins, with freshmen from 0 to 45 percent and sophomores from 45 to 100 percent, and the third bar is labeled Buccaneers, with freshmen from 0 to 45 percent and sophomores from 45 to 100 percent.
If 160 students selected Jaguars, how many of those students are sophomores?
a. 64 students
b. 72 students
c. 88 students
d. 96 students
if a giraffe has two eyes, a monkey has two eyes, and an elephant has two eyes, how many eyes do we have?
a sporting goods store manager was selling a kayak set for a certain price the manager offered markdowns 10 percent, and 30 percent marking the one-day sale price as 328 find the original selling of the kayak
Using percentages, we know that $515.87 approx is the purchase price at the start.
What is the percentage?In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100.
Although "pct," "pct," and occasionally "pc" are also employed as acronyms, the percent symbol "%" has been most usually used to denote it.
A% is a number that has neither dimensions nor a specified unit of measurement.
For example, if you properly completed 75 out of 100 questions on a test, you would have received a 75% grade (75/100).
So, in mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Let x represent the initial asking price ( in dollars ),
After 10% is deducted, 10% of x less the new selling price, or x - 0.1x, equals 0.9x.
Having reduced the price by 30%,
The final selling price equals 90% less than 90%.
= 0.9x - 0.3 × 0.9x
= 0.9x - 0.27x
= 0.63x
The answer to the query is:
0.63x = 325
x = 325/0.63
x = 515.87
Therefore, using percentages, we know that $515.87 approx is the purchase price at the start.
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Correct question:
A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns shown, making the one-day sale price of the ski set $325. Find the original selling price of the ski set. It was marked down 10% and 30%
five machines produce five plates in five hours. how much time do three machines need for three plates?
To make three plates by three machines it will take 05 minutes.
The Production Possibility Frontier (PPF) is a curve on a graph that represents the possible amount that can be produced by two products if they rely on the same finite resource for manufacturing. PPF is also known as the production possibility curve.
Given:
05 machines make 05 plates in 05 hours.
rate of 3 machines is 1 plate per minute,
1 machine makes 5 Plate in = 5 × 5 = 25 minutes.
1 machine makes makes 1 plate in = 25 ÷ 5 = 5 minutes
So, 1 machine can make 03 plates in = 5 × 3 = 15
Thus, 03 machines can make 03 plates in = 15 ÷ 3
= 5 minutes.
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PLEASE HELP WITH MY MATH HOMEWORK
ill give brainliest
Answer:
The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.
Step-by-step explanation:
To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:
s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)
= (96 +/- sqrt(9216 + 4352)) / -32
= (96 +/- sqrt(13,568)) / -32
Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:
s = (96 + sqrt(13,568)) / -32
= (96 + 120) / -32
= 0.5625 seconds
Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.
To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.
consider the angle the bottom of the ladder makes with the ground. how fast is the angle changing (in radians) when the ladder is 5.4 feet away from the house?
The angle is changing 0.05136 radians when the ladder is 5.4 feet away from the house.
What is an angle?
An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.
Here, we have
The angle the bottom of the ladder makes with the ground.
d∅/dt = d∅/dx × dx/dt.....(1)
bur, x = 24cos∅
dx/d∅ = -24sin∅
d∅/dx = 1/(-24sin∅)
Now, equation (1) becomes,
d∅/dt = 1/(-24sin∅)× dx/dt
If the ladder is 5.4 feet away from the house then,
sin∅ = √24² - 5.4²/24
d∅/dt = -1/√24² - 5.4² ×0.12
d∅/dt = 0.05136 radian
Hence, the angle is changing 0.05136 radians, when the ladder is 5.4 feet away from the house.
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The organizers of a school playestimate that half the students who attend will bring an adult guest. If s represents the number of students expected to attend the play, which expression represents the total expected attendance
Answer: 1/2s + s = total expected attendance.
Step-by-step explanation: If s is the number of expected students and half of them are estimated to bring a guest than you would find half of s and add it to s to get the total expected attendance.
suppose 30% of all households in a certain town own 3 or more vehicles. what is the probability that a random sample of 60 households will have exactly 20 households with 3 or more vehicles?
X ~ Bin ( n , p)
The probability that a random sample of 60 households will have exactly 20 households with 3 or more vehicles is 0.90931
What is mean and standard deviation?
Continuous data, not categorical data, are summarised using the standard deviation in conjunction with the mean. Additionally, the standard deviation, like the mean, is typically only acceptable when the continuous data does not have outliers or is not highly skewed.A common way to assess variability in statistics is the standard deviation (SD). It displays the degree of variance from the average (mean). When the SD is low, the data tend to be close to the mean, while when it is high, the data are dispersed over a wide range of values.Using Normal Approximation to Binomial
Mean = n * P = ( 60 * 0.3 ) = 18
Variance = n * P * Q = ( 60 * 0.3 * 0.7 ) = 12.6
Standard deviation = √(variance) = √(12.6) = 3.5496
P ( X = 20 )
Using continuity correction
P( n - 0.5 < X < n + 0.5 )
= P ( 20 - 0.5 < X < 20 + 0.5 )
= P ( 19.5 < X < 20.5 )
Using EXCEL,
P ( 19.5 < X < 20.5 )
= P(X < 20.5) - P(X < 19.5)
= BINOM.DIST ( 20.5 , 60 , 0.30, TRUE) - BINOM.DIST ( 19.5 , 60 , 0.30, TRUE)
= 0.7622 - 0.66916
= 0.0931
Hence, the probability that a random sample of 60 households will have exactly 20 households with 3 or more vehicles is 0.90931
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the task of framing a building has been estimated to take an average of 25 days with a standard deviation of 4 days. what duration should be used if there is to be a 90% confidence that the duration will not be exceeded? what is the probability that the duration will actually exceed 23 days?
The required probability that the duration will actually exceed 23 days is 22.66%.
What is Probability distribution?A probability distribution is a factual capability that depicts every one of the potential qualities and probabilities for an irregular variable inside a given reach.
According to question:We have,
μ = 25, σ = 4,
For 90% confidence interval, Z = 1.645
Then,
Z =( x -μ )/σ =(x - 25)/4
1.645 = (x - 25)/4x
x = 4(1.645) + 25 = 31.58 days
when duration increase by 3 days
So, Z = 3/4 = 0.75
Probability = 22.66%
Thus, required probability is 22.66%.
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Spiral Review
Find the slope of the line that passes through the points. Need a review? Go back to lesson 3.2 or use the formula below.
If necessary, leave your answer as a fraction, not a mixed number.
a. (-1, 7) and (5, 7)
b. (1, 2) and (5, 0)
NEED HELP NOW!!
Answer: b
Step-by-step explanation:
becuase of the fromula
The value of square root x to the 2nd power is a real and irrational number when x is equal to
Explain how you got you answer
Answer:
x
Step-by-step explanation:
square root x to the 2nd power is x
square root and 2nd power eliminate each other so it leaves you with x
hopes this helps
Compare the square root of 30 and fifty ninths using >, <, or =.
fifty ninths is less than the square root of 30
the square root of 30 is less than fifty ninths
fifty ninths is equal to the square root of 30
the square root of 30 is greater than fifty ninths
The square root of 30 is less than fifty-ninths mathematically it can be written as √30<√59. The correct option is B.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the numbers are the square root of 30 and the square root of 59. The values will be compared below,
√30 = 4.8
√59 = 7.68
The inequality will be written as,
√30<√59
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