y>4x-3
What are three solutions for the inequality?
*Remember solutions are found in the shaded area or on a solid line (points on a dashed line are not a solution).
Answers
The three points which correctly represents a solution to the given inequality are;
1. (1, 2)2. (1, 3)3. (1, 4)What are three points which correctly represents a solution to the given inequality?It follows from the task content that the points which are solutions to the given inequality bare to be determined.
Since the given inequality as in the task content is; y > 4 x - 3.
By evaluating the inequality at one x-value of x = 1.
We have ;
y > 4 ( 1 ) - 3
y > 4 - 3
y > 1.
Therefore, the possible values of y which are greater than 1 are; 2, 3, and 4.
On this note, it is correct to conclude that the points which are solutions to the given inequality are; ( 1, 2 ), ( 1, 3 ) and ( 1, 4 ).
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Related Questions
Calculate how far each of the following travels. A helicopter flies at a speed of 72miles per hour for 10 minutes
Answers
Answer:
12 miles
Step-by-step explanation:
72 x [tex]\frac{10}{60}[/tex] = 12
In the diagram, A and B are points
on the circle AC and BC are
tangents to the circle and meet
at C. Work out the angle ACB.
Answers
The angle ACB would be 80 degrees.
What is tangent to a circle?
The tangent always makes a single-point contact with the circle. It never intersects the circle twice. Tangents from an external point to a circle have the same length.
In the given figure,
angle AOB = 40.
So angle OBA = 40.
Then the angle AOB = 180 - 40 -40
AOB = 100.
By the theorem of circles,
AOB + ACB = 180
100 + ACB = 180
ACB = 80.
Hence, the angle ACB would be 80 degrees.
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which equation has roots of 3+i and 3-i
is x^2-6x+10=0
but can you show me the work
Answers
The quadratic equation with the roots 3+i and 3-i is:
x^2 - 6x + 10 = 0
How to find the equation with the given roots?We know that a quadratic equation with the roots a and b is written as:
(x - a)*(x - b) = 0
Here the roots are 3 + i, and 3 - i.
Replacing that we get:
(x - 3 - i)*(x - 3 + i) = 0
Expanding the product on the left we get:
x^2 + x*(-3) + x*i + (-3)*x + (-3)*(-3) + (-3)*i + (-i)*x + (-i)*(-3) - i^2 = 0
Remember that i^2 = -1, then:
x^2 -3x + x*i - 3x + 9 - 3i - x*i + 3i + 1 =0
x^2 - 6x + 10 = 0
That is the equation for the given roots.
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What i the value of x in the equation 0. 2(x 1) 0. 5x = –0. 3(x – 4)?
Negative even-halve
–1
1
Seven-halve
Answers
The value of x for the given equation is 1.
What is solving an equation?
A General Rule for Equation Solving
Remove parentheses from each side of the equation and combine similar phrases to make it simpler.
To separate the variable term on one side of the equation, use addition or subtraction.
To find the variable, use division or multiplication.
Consider the given expression
0.2(x + 1) + 0.5x = -0.3(x - 4)
Simplifying,
0.2x + 0.2 + 0.5x = -0.3x + 1.2
0.7x + 0.2 = -0.3x + 1.2
Add 0.3x on both sides,
0.7x + 0.2 + 0.3x = -0.3x + 1.2 + 0.3x
x + 0.2 = 1.2
Subtract 0.2 from both sides,
x + 0.2 - 0.2 = 1.2 - 0.2
x = 1
Hence, the value of x for the given expression is, 1.
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I am thinking of a number. When I divide my number by $7$ and subtract $\dfrac{3}{5},$ I get back my original number. What is my number?
Answers
add 10 to both sides
x/3 = 32
multiply 3 on both sides
x = 96
A study conducted by Norman Hollenberg, professor of medicine at Brigham and Women’s Hospital and Harvard Medical School, involved 27 healthy people aged 18 to 72. Each subject consumed a cocoa beverage containing 900 milligrams of flavonols (a class of flavonoids) daily for five days. Using a finger cuff, blood flow was measured on the first and fifth days of the study. After five days, researchers measured what they called "significant improvement" in blood flow and the function of the cells that line the blood vessels.³³ What flaw in the design of this experiment makes it impossible to say whether the cocoa really caused the improved blood flow? Explain.
Answers
There was no control group for comparison answers.
There was no control group to compare the results to change in blood flow could have been caused by something else .
What is meant by blood flow ?The movement of blood through the vessels from arteries to capillaries and then into veins is referred to as blood flow.
There are two blood circulatory systems in the human body, which are linked: The systemic circulation transports blood to organs, tissues, and cells, supplying them with oxygen and other vital substances. The pulmonary circulation is where fresh oxygen enters the bloodstream.
As the heart beats, blood is pumped through a network of blood vessels known as the circulatory system. The vessels are flexible tubes that transport blood to all parts of the body.
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Solve the equation and verify the solution using substitution.
-5(2r-0.3)+0.5(4r+3)=-64
Answers
(-5x2r)-(0.3x-5)+(0.5x4r)+(3x0.5)=-64
-10r-(-1.5)+2r+1.5=-64
-10r+1.5+2r+1.5=-64
-10r+2r+1.5+1.5=-64
-8r+3=-64
-8r+3-3=-64-3
-8r=-64
r=8.375
Hope this helps
(2x² + 3x − 9)
Factor
Answers
Write an equation of the line that passes through (18, 2) and is parallel to the line 3y−x=−12.
Answers
Answer: No solution
Step-by-step explanation:
3y - x = (3 * 2 - 18) = 6 - 18 = -12
3y - x = -12
x - 3y = 12
since parallel lines, by definition, have NO point of intersection, there is no solution.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
3
6
5
The expression above can also be written in the form
a
b
c
.
For this expression, a = , b = , and c = .
Answers
From knowledge of numerals the answer to the given Question is: a = 3 b = 6 c = 5
What are Numerals?
Numerals are symbols or numerals used to represent numbers. They are used in math and other fields to represent quantities and measurements. Numerals can be written in different forms, such as Arabic numerals (1, 2, 3, etc.) or Roman numerals (I, II, III, etc.). Numerals are also used to label items, such as dates (e.g. May 4th, 2020), addresses (e.g. 1234 Main Street), and telephone numbers (e.g. 555-123-4567). Numerals are an important part of our everyday lives, used to count, measure, and express amounts.
Numerals are just a combination of digits that we know
for example if 0,1,2,3,4,5,6.....9
are the fundamental digits then numbers from these like
12,34,668,389,23,39 etc are called numerals
We can also conclude that all numbers have originated from numerals itself and numerals are basic unit of formation of numbers
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2 and 2/3 simplified
Answers
[tex]\stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}}[/tex]
A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point.
Answers
The area of the triangle as the function of x is [tex]x^2[/tex] / 2x - 4 and the domain of the function is x∈(2, ∞)
The point on the line = (2, 1)
The give three points are (0, y), (2, 1) and (x, 0)
The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line
Consider the point (0, y) and (2, 1)
Slope = (1-y) / (2-0)
= (1-y) /2
Consider the point (2, 1) and (x, 0)
Slope = (0-1) / (x-2)
= -1/x-2
Both slopes are equal
(1-y) /2 = -1/x-2
(1-y) = -2 / (x-2)
y = 1 + (2/(x-2))
y = x / (x-2)
The area of the triangle = (1/2)bh
Where b is the base
h is the height
The area of the triangle = (1/2) × x × (x / (x-2))
= [tex]x^2[/tex] / 2x - 4
The domain is x∈(2, ∞)
Hence, the area of the triangle is [tex]x^2[/tex] / 2x - 4 and the domain of the function is x∈(2, ∞)
The complete question is
A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (2,1). Write the area of the triangle as a function of x, and determine the domain of the function.
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Tom and rosie are designing a game. In each turn, a player rolls five 666-sided dice and adds the numbers showing on each face to determine how many points they get that turn. For example, the lowest number of points in a given turn is 1+1+1+1+1=51+1+1+1+1=51, plus, 1, plus, 1, plus, 1, plus, 1, equals, 5 points, and the highest is 6+6+6+6+6=306+6+6+6+6=306, plus, 6, plus, 6, plus, 6, plus, 6, equals, 30 points.
Answers
Rosie's statement about expecting a total of about 175 points over 100 turns is accurate.
Based on the expected value, Rosie's statement is correct.
The expected value, denoted as E(X), represents the average or mean value of a random variable, in this case, the sum of points in a given turn when rolling the five dice.
Tom's statement, "A player will most likely get 17.5 points in any given roll," is not accurate. The expected value of 17.5 points does not necessarily mean that a player is most likely to get exactly 17.5 points in any single roll. Instead, it indicates that over many rolls, the average value of points earned in a turn is 17.5 points.
On the other hand, Rosie's statement, "Over 100 turns, we can expect a total of about 175 points," is correct. Since the expected value is 17.5 points per turn, over 100 turns, we can expect the total sum of points to be approximately 100 turns × 17.5 points/turn = 1750 points.
In summary, the expected value of 17.5 points represents the average outcome over multiple rolls, and based on this value, Rosie's statement about expecting a total of about 175 points over 100 turns is accurate.
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The complete question:
Tom and Rosie are designing a game. In each turn, a player rolls five 6-sided dice and adds the numbers showing on each face to determine how many points they get that turn. For example, the lowest number of points in a given turn is 1+1+1+1+1=5 points, and the highest is 6+6+6+6+6=30 points.
They let X represent the sum in a given turn, and they find the expected value of X is E(X) = 17.5 points.
Tom says, "A player will most likely get 17.5 points in any given roll."
Rosie says, "Over 100 turns, we can expect a total of about 175 points."
Whose statement is correct based on the expected value?
solve the following system of equations. if there is no solution, write dne in each coordinate of the ordered triplet. if there are an infinite number of solution, write each coordinate in terms of z . z. x 7
Answers
DNE in each coordinate of the ordered triplet are y is -7 , DNE ,y is-2.
Whais the explanation?1.) 2+3 = y + 12
Make y the formula's subject after adding the LHS.
5 = y + 12
Y = 5 - 12
Y = - 7
The answer to the equation is -7
2.) 2 + 13 = 1 +8
The equation cannot have a solution since there is no unknown variable and the sum of the numbers on the left hand side (LHS) does not equal the sum of the numbers on the right hand side (RHS).
3.) y - 7 = 2 - 11
RHS is added, and y is become the formula's subject.
Y - 7 = -9
Y = -9 + 7
Y = -2
The equation's answer is -2.
The complete question is:Solve the following system of equations. If there is no solution, write DNE in each coordinate of theordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.2+3 = y + 12
2 + 13 = 1 +8
y - 7 = 2 - 11
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Fill in the blank with an appropriate word, phrase, or symbol(s). Measures of dispersion are used to indicate the spread or _ of the data.
Answers
Measures of dispersion are used to indicate the spread or variability of the data.
What is measure of dispersion?Measures of dispersion are crucial for representing the spread of the data, or its fluctuation around a central value, whereas measures of central tendency are used to assess a dataset's "normal" values.
The four main measure of dispersion include
Range Standard deviationInterquartile rangeVarianceThe range in statistics refers to the distribution of data between the lowest and greatest value in the distribution. It is a widely used indicator of variation.
The standard deviation deals with how much the data is away from the mean
The variance is standard deviation squared
These measures the spread, variability or distribution of data
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simetrico de [tex]\frac{8}{4}[/tex]
Answers
The symmetric fraction to 8/4 is given as follows:
1/2.
How to obtain the symmetric fraction?A fraction is a numerical representation of the division of the two terms, symbolized x and y, as follows:
Fraction = x/y.
The technical terms of x and y are given as follows:
The top term x of the fraction is the numerator of the fraction.The bottom term x of the fraction is the denominator of the fraction.The symmetric fraction is obtained exchanging the numerator and the denominator, hence it is of:
Symmetric fraction = y/x.
The fraction in this problem is given by:
8/4.
Hence the symmetric fraction is of:
4/8 = 1/2.
(as both 4 and 8 are divisible by 4).
TranslationThe problem asks for the symmetric fraction to 8/4.
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A partial payment is made on the date indicated. Use the United States rule to determine the balance due on the note at the date of maturity. (The Effective Date is the date the note was written.) Assume the year is not a leap year.Principal Rate Effective Date Partial Payment Maturity Date Amount Date $2000 4% April 1 $1000 May 1 June 1 The balance due on the note at the date of maturity is $nothing.(Round to the nearest cent as needed.)
Answers
The balance due on the note at the date of maturity is $1010.13.
What is meant by partial payment?The offering of a payment by cheque for less than the whole amount sought by the creditor is known as partial payment. It is standard practice to grant debt forgiveness in exchange for the tender of a "payment-in-full" check.
Given permission to apply the US rule
In the United States, a year is deemed to have 360 days for the purposes of calculating interest.
Given that the principal is $ 2000,
Interest rate = 4% = 0.04
The effective date is April 1.
The whole amount is $1,000.
May 1 = partial payment
Duration = 30 days (May 1 - April 1)
Therefore, interest = PTR = 2000 * 0.04 * 30/360 = $6.67
So value = $ 2000 + $6.67 = $6.67
Partial payment received = $1,000
As a result, value = $ 1006.67 = $2006.67 - $ 1000
Time T= 31
Interest = PTR * 31/360 * 0.04 = 3.46
So the total value is $1006.67 + $3.47 = $1010.13.
The note's outstanding balance at maturity is $1010.13.
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determine the zeros of f(x)=28x^2−7
Answers
The zeroes of the function f(x) = 28x² - 7 will be 1/2 and negative 1/2.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The function is given below.
f(x) = 28x² - 7
For the zeroes of the function, put f(x) = 0, then we have
f(x) = 0
28x² - 7 = 0
x² = 1/4
x = ± 1/2
The zeroes of the function f(x) = 28x² - 7 will be 1/2 and negative 1/2.
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!!50 Points!! Pls help ASAP!!!
Simplify
[tex](3\sqrt{-5} + 2)(4\sqrt{-12} - 1)[/tex]
Answers
The simplification of the expression (3√-5 + 2)(4√-5 -1) gives 5√-5 - 62
How to simplify numbers and expressions?Simplification is a way of determining an answer for a complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus, etc.
Given: the expression (3√-5 + 2)(4√-5 -1)
(3√-5 + 2)(4√-5 -1)
Clear the parenthesis:
(3√-5 + 2)(4√-5 -1) = 3√-5(4√-5) + 3√-5 (-1) + 2(4√-5) + 2(-1)
= -60 - 3√-5 + 8√-5 -2
= 5√-5 - 62
Therefore, the expression (3√-5 + 2)(4√-5 -1) simplifies to 5√-5 - 62
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The sum of three numbers is 23.
Three times the smallest is 4 less than the largest, while the sum of the largest
and smallest is 16. Use a linear system in three variables to find the three numbers.
The three numbers are __ , __
and __
Answers
Answer:
The three numbers are 3, 7 and 13
Step-by-step explanation:
Considering the 3 numbers: x, y and z
x + z = 16
z=16-x
3x=z-4
3x=16-x-4
4x=12
x=3
3+z=16
z=16-3
z=13
3+13+y=23
y=23-13-3
y=7
Hope this helps :)
Drew's grandmother is 72 years old. Drew's mother is y years younger than Drew's grandmother, and she is 45 years old. Write an equation using subtraction that represents this situation.
Answers
explanation: If drews mother is 45 and his grandmother is 72 and you want to know how many years apart they are you would subtract 45 from 72. Y represents the amount of years apart they are aka your answer. if you write out the whole equation its y= 72-45 or 72-45=y
TRUE OR FALSEfor 95% of the samples from the population, the confidence interval we compute will contain the true mean.
Answers
The statement if true, for 95% of the samples from the population, the confidence interval we compute will contain the true mean.
In the given question we have to check whether the given statement is TRUE or FALSE.
The given statement is:
For 95% of the samples from the population, the confidence interval we compute will contain the true mean.
Because the underlying approach succeeds on 95% of random samples, we have a 95% confidence that this confidence interval contains the population mean.
Approximately 95% of the estimated intervals will contain the actual value of the population mean if samples are taken frequently and 95% confidence intervals are generated.
So the given statement is true.
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Calculate the average rate of change from x = −2 to x = 1 of the function below. f(x) = x2 + 5x − 12 First, find the change in y by evaluating the function at −2 and 1:
Answers
The average rate of change over the interval x = -2 and x = 1 is 4
How to determine the average rate of changeThe equation is given as
f(x) = x² + 5x - 12
The interval is given as:
x = -2 to x = 1
Start by calculating the functions f(-2) and f(1)
So, we have
f(-2) = (-2)² + 5(-2) - 12 = -18
f(1) = (1)² + 5(1) - 12 = -6
So, the average rate over these intervals is calculated as:
Average rate = [f(1) - f(-2)]/[1 - -2]
This gives
Average rate = [-6 - -18]/[1 - -2]
Evaluate
Average rate = 4
Hence, the average rate of change is 4
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how does weather existe? I need help
Answers
Answer: How Weather Exists
Step-by-step explanation:
~I think you mean, how weather exists.
You see, "Weather" exists because of the atmosphere. Evidently, weather is the movement of the atmospheric gases around the planet that creates weather. Places like the Moon or Mercury do not have weather - only temperature changes.
~Hope this helped :)
5. If g = -2 and h = -3 find the value of
a) 7g - 2h
b) 3gh - 4h
c) 2g²-4h²
Answers
Answer: a
Step-by-step explanation:
In a multiple regression problem involving two independent variables, if b1 is computed to be +2.0, it means thatthe estimated mean of Y increases by 2 units for each increase of 1 unit of X1, without regard to X2.the estimated mean of Y increases by 2 units for each increase of 1 unit of X1, holding X2 constantthe estimated mean of Y is 2 when X1 equals zero.the relationship between X1 and Y is significant.
Answers
The solution is y will increase by 2 units with every unit increase in x1
What do you mean by multiple regression?A single dependent variable and several independent variables can be analyzed using the statistical technique known as multiple regression. In order to predict the value of the single dependent value, multiple regression analysis uses independent variables whose values are known.
What is the difference between multiple and single regression?X and Y variables are the sole ones in simple linear regression. Two or more x variables and one y variable make up multiple linear regression. For instance, basic linear regression is used when we forecast rent using only square footage.
In the above question:-
Interpretation of b1=2
it means that y will increase every 2 units for every unit increase in x1
holding x2 constant.
Hence option B is the correct answer.
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PLEASE HELP ASAP!!
Geometry Help!!
Answers
5) <OSL
Vertical pair angles are equal angles formed by intersecting lines
6) <MSN (or <LOS)
Supplementary angles are angles that add up to 180 degrees
why are t statistics more variable than z-scores?
Answers
T statistics are more unpredictable than z scores since they employ sample variance rather than population variance.
Explain the term t statistics?The t-value, also known as the t-score, is a ratio of the variance present within the sample sets to the difference between their respective means. The discrepancy between the means of the two tested samples serves as the numerator value.When data sets have a normal distribution however the population variance is unknown, the t test is typically performed. If you flip a coin 1,000 times, for instance, you can discover that the outcome is distributed normally over all trials.The correlation between both the response as well as the predictor factors can be found using the t-test statistic.In linear regression, the null hypothesis that slope or coefficient is equal to 0 will be tested using a one-sample t-test.Thus, because the t statistic employs the sample variance rather than the population variance, it is more volatile than z scores.
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Suppose X and Y are independent random variables such that X has uniform (0,1) distribution and Y has exponential distribution with mean 1. Calculate: (a) E[X +Y (b) EXY] (c) EI(X -Y) (d) Elx2e2y
Answers
If x and y are independent variables such that x has uniform distribution (0,1) and y has exponential distribution means 1 then e (X+Y) is 3/2, E(XY) is 1/2, E (x-y)2 is 4/3 and E x2 e24 is -1/3
[tex]2^{2}[/tex][tex]e^{ty}[/tex]x ≈ u (0,1) > Independent
y ≈ exp (1) > Independent
E (x) = 0+1/2 = 1/2
v (x) = [tex][1- 0 ] ^{2}[/tex] / 12 = 1/12
E [tex]x^{2}[/tex] = v (x) + [tex][ E x]^{2}[/tex]
= 1/12 + 1/4 = 1+3/12 = 4/12 = 1/3
E (y) = 1 v(y)=1 E [tex]y^{2}[/tex]= 1+1= 2
E[tex]e^{ty}[/tex] = [tex]\int\limits^_0[/tex][tex]e^{ty}[/tex][tex]e^{-y} dy[/tex]
E[tex]e^{ty}[/tex] = [tex]\int\limits^_0[/tex][tex]e^{-y} (1-t)[/tex] dy
a : E (x+y) = E (x) + E(y)
E (x+y) = 1/2+1 = 3/2
b: E (xy) = E (x) E(y) = 1/2 x 1 = 1/2
c: E [tex][x-y]^2[/tex] = E ([tex]x^{2}[/tex]-2xy+ [tex]y^{2}[/tex]
= E [tex]x^{2}[/tex] - 2 Exy + E [tex]y^{2}[/tex]
= 1/3 - 2 x 1/2 + 2
= 1/3 + 1 = 4/3
d. E [tex]x^{2}[/tex] [tex]e^{24}[/tex]
E ([tex]x^{2}[/tex] ) E [tex]e^{24}[/tex] = 1/3 x -1 = - 1/3
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Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 2p − 8 < 5p + 4 true.
S:{−2, −3}
S:{−3, −4}
S:{−4, −5}
S:{−2, −5}
Answers
Answer:
[tex]S=\{-2,-3\}[/tex]
Step-by-step explanation:
Required integers are: -2 and -3
