Graph a line that contains the point (-2,7) and has a slope of 4.
-7 -6 -5 -4 -3 -2
7
4
32
එය ප
Y
-3+
-4+
-5
-6
-7
K
1 2
3
4
5
6
7
>x
Answers
Answer:
(-3,3) and (-4,-1)
Step-by-step explanation:
The equation of the line would be y=4x+15. So if you clicked points (-3,3) and (-4,-1) then you would produce the correct line.
Hope this helped! :)
I plotted coordinate points at (-2,7) and created additional points using a slope of 4.
Remember that slope is y/x so it is 4/1 slope.
From (-2,7) go up +4 right +1 to (-1, 11), then again go up +4 right over +1 to (0, 15).
Now we have slope = 4 and y intercept = 15
y = 4x + 15 is your equation of the line
Related Questions
yu want to determine the percentage of fortune 500 ceos who think indiana university (iu) deserves its current business week rating. you mail a questionnaire to all 500 ceos and 160 respond. exactly half of the respondents believe iu does deserve its ranking. calculate a 95% confidence interval for the fraction of fortune 500 ceos who believe iu deserves its ranking. round your answers to three decimal places, if necessary.
Answers
A 95% confidence interval for the fraction of fortune 500 ceos who believe Indiana university(IU) deserves its ranking is ( 0.279, 0.361)
According to the question,
Total number of sample taken for questionnaire = 500
Number of people responded = 160
Sample Proportion : p = 160/500
=> p = 0.32
Proportion of people who has not responded : q = 1 - p
=> q = 0.68
We have to create a 95% confidence interval for the fraction of fortune 500 ceos who believe Indiana university(IU) deserves its ranking.
Formula of C.I = p ± z√pq/n
Where p and q is sample proportion , z is value of CI at given α level of significance and n is sample size
C.I at 95% = 0.32 ± 1.96√0.32×0.68/500
=> 0.32 ± 1.96 √0.0004352
=> 0.32 ± 1.96 × 0.0208
=> 0.32 ± 0.0408
C.I = ( 0.32 - 0.0408, 0.32 + 0.0408)
=> C.I = ( 0.279, 0.361)
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Cuál es la diferencia entre la ley de senos y la ley de cósenos
Answers
The law of sines uses only two sides and the angles that are opposite them, while the law of cosines uses all three sides and only one of the sides opposite an angle
What are the laws about?An angle's cosine and sine are equal to each other, with the sine of an angle equal to the cosine of its complementary angle.
The law of cosines uses all three sides and only one of the sides that are opposite an angle, whereas the law of sines only uses two sides and the angles that are opposite them. The sine ratio is used by the law of sines, and the cosine ratio is used by the law of cosines.
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Complete question
What is the difference between the law of sines and the law of cosines
) the probability that a certain make of car will need repairs in the first six months is 31%. a dealer sells four such cars. what is the probability that all four of them will require repairs in the first six months?
Answers
Probability of requiring repair by the four cars in the first six months is equal to 0.009235.
As given in the question,
Probability of having repair requirement in the first six months = 31%
Success rate 'p' = 31%
= 0.31
1 - p = 1 - 0.31
= 0.69
Total number of cars 'n' = 4
Number of cars need to repair 'x' = 4
Probability for all the four cars require repairment in the first six months
= ⁿCₓ pˣ ( 1 - p)ⁿ⁻ˣ
= ⁴C₄ ( 0.31)⁴ ( 0.69)⁴⁻⁴
=( 4!/ (4-4)!4!) × ( 0.31)⁴ × 1
= ( 0.31)⁴
= 0.009235
Therefore, the probability of all the four cars require repairing in the first six months is equal to 0.009235.
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simply the expression
Answers
Answer:21x-4
Step-by-step explanation:
5x*5x=25x
-9+5=-4
-2x*-2x=-4x
-4x+25x= 21x
21x=-4x
have a nice day <3
If a fair coin is tossed 4 times, what is the probability, to the nearest thousandth, of getting exactly 4 heads?
Answers
Answer: The probability of getting exactly 4 heads in 4 tosses of a fair coin is 0.0625, or 6.25%.
Step-by-step explanation:
We can use the formula for combinations, which is:
n! / (r! * (n - r)!)
In this case, n is the total number of tosses (4) and r is the number of successes we want to count (4 heads). Plugging these values into the formula, we get:
4! / (4! * (4 - 4)!) = 4! / (4! * 0!) = 4! / (4! * 1) = 1 / 1 = 1
The probability of getting exactly 4 heads in 4 tosses of a fair coin is therefore 1, or 100%. However, this is assuming that the coin is not fair and always lands on heads. If the coin is fair, the probability of getting 4 heads in 4 tosses is actually much lower.
To find the probability of getting 4 heads in 4 tosses of a fair coin, we need to use the formula for binomial probability, which is:
(n! / (r! * (n - r)!) * p^r * (1 - p)^(n - r)
In this case, p is the probability of getting a head in a single toss of the coin (0.5), r is the number of successes we want to count (4 heads), and n is the total number of tosses (4). Plugging these values into the formula, we get:
(4! / (4! * (4 - 4)!) * 0.5^4 * (1 - 0.5)^(4 - 4) = 1 * 0.5^4 * (1 - 0.5)^0 = 0.5^4 * 1 = 0.0625
Thus, the probability of getting exactly 4 heads in 4 tosses of a fair coin is 0.0625, or 6.25%, to the nearest thousandth.
What is transpose of matrix
Answers
Step-by-step explanation:
it is the process of changing rows to columb
Given the equation 18 equals y over -5, solve for y. NEED ANSWER ASAPPP!!
90
−90
23
−13
Answers
Answer: -90
Step-by-step explanation: To solve this equation for y, we need to isolate the variable y on one side of the equation. To do this, we can multiply both sides of the equation by -5 to get rid of the fraction on the right side:
18 = y / -5
18 * -5 = y / -5 * -5
-90 = y
Therefore, the value of y that satisfies the equation is -90.
A student claims that the graph shows the player earned more points from Level 2 to Level 3 than from Level 4 to Level 5. Is the student correct?
O No, the player earned 67 points from Level 2 to Level 3 and 69 points from Level 4 to Level 5
O No, the player earned 42 points from Level 2 to Level 3 and 44 points from Level 4 to Level 5.
O Yes, the player earned 67 points from Level 2 to Level 3 and 69 points from Level 4 to Level 5.
OYes, the player earned 42 points from Level 2 to Level 3 and 44 points from Level 4 to Level 5.
Answers
PLEASE HELP
A moth crawled 2 meters down a wall, 3 meters along the same wall, and 4 meters along an adjoining wall. Given that the walls join at a 90° angle, which most accurately expresses the distance in meters the moth will travel when flying in a straight line back to its original position?
Answers
The length of the diagonal path that leads to the original position of the moth that travels 2 meters down and, 3 meters along a wall, then 4 meters along a perpendicular wall, representing the dimensions of a rectangular prism is √(29) meters
What is the diagonal of a rectangular prism?The diagonal of a rectangular prism is a segment that stretches from one corner of the prism to the opposite corner of the prism, passing through the center of the prism.
The distance down the wall the moth crawled = 2 meters
The distance along the same wall the moth crawled = 3 meters
The distance the moth crawled along the adjoining wall = 4 meters
Angle at which the walls join = 90°
The distance distance traveled by the moth when flying in a straight line back to its original position is a diagonal of a rectangular prism of height, h = 2 meters, width, w = 3 meters, and length, l = 4 meters
The length of the diagonal of a rectangle that has height, h, width, w, and length, l, is found using the following formula;
d = √(h² + w² + l²)
The length of the diagonal along which the moth flies is therefore;
d = √(2² + 3² + 4²) = √(29)
The distance in meters the moth will travel when flying back to its initial position is √(29) metersLearn more about the diagonal of a rectangular prism here:
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Select the graph that represents the solution of the compound inequality –6 ≤ 4x + 6 < 14. A number line from negative 5 to 5 in increments of 1. A point is at 0 and a bold line is drawn to the right stopping at the open circle at 2. A number line from negative 5 to 5 in increments of 1. A point is at negative 5 and a bold line is drawn to the right stopping at the open circle at 3. A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 5. A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 2.
Answers
The graph that represents the solution to the compound inequality –6 ≤ 4x + 6 < 14 is given as follows:
A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 2.
How to solve the inequality?The inequality for this problem is defined as follows:
–6 ≤ 4x + 6 < 14.
This means that two conditions have to be satisfied.
The first condition is given as follows:
–6 ≤ 4x + 6
That is:
4x + 6 ≥ -6
4x ≥ -12
x ≥ -3.
The second condition is given as follows:
4x + 6 < 14
4x < 8
x < 2.
The intersection of these two conditions is composed by the values between -3 and 2, with a closed interval at -3 and an open interval at 2.
This means that the last option is the correct option.
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Rewrite:4/6 : 1/3
as a unit rate.
Answers
Answer:
I think it's 2:1
Step-by-step explanation:
if I'm wrong in sorry
Answer:
Step-by-step explanation:To rewrite 4/6 : 1/3 as a unit rate, we need to first find a common denominator for the fractions. The least common multiple of 6 and 3 is 6, so we can use this as the common denominator.
We can then rewrite the fractions as follows:
4/6 : 1/3 = (4/6) * (3/3) : (1/3) * (2/2)
Simplifying, we get:
2/3 : 2/3
This is a unit rate, with a value of 2/3.
a mistake was made in the steps shown to simplify the expression. which step includes the mistake?
Answers
The step in which there is a problem is the operation in step 4. option C
Where is the mistake?In this question, we are expected to solve the problem in a number of steps. We know that in mathematics, the solution to a given problem can only be worked out through a number of steps that can help us to be able to know what the correct solution of the problem ought to be.
In this case we have a simplification problem. It should be know that the acronym of BODMAS has to be called to mind here and that is;
BracketOfDivisionMultiplicationAdditionSubtractionMathematical operations would have to be carried out in this order else there would be a mistake in it. We can see that the addition in step 4 before division did not follow the principle of BODMAS thus that step is wrong.
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a frequent cause of measurement error in polls is due to a. the increased use of cell phones. b. push polling. c. poorly worded questions. d. too large sample sizes.
Answers
Polling mistakes are frequently caused by poorly written questions. People frequently misunderstand questions that are worded strangely and react to the question inaccurately, which leads to an error in the polling data. Due to misinterpretation, people frequently react differently than they would typically say , then option c is correct.
Limited respondent selections, a lack of knowledge, difficulty assessing intensity, and lack of interest in political matters are just a few of the factors that might make a poll unreliable.
Survey mistake, fewer respondent alternatives, a lack of knowledge, problems assessing intensity, and a lack of interest in political matters are some potential polling weaknesses.
The drawback of polling is that if there are too many devices to check, it may take longer to service an I/O device than it does to poll all of the devices.
Instrumental, environmental, procedural, and human errors are frequent causes. Depending on how they affect the outcomes, each of these errors can either be random or systematic.
Therefore,
Polling mistakes are frequently caused by poorly written questions. People frequently misunderstand questions that are worded strangely and react to the question inaccurately, which leads to an error in the polling data. Due to misinterpretation, people frequently react differently than they would typically say , then option c is correct.
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The bears in Alaska are limited to a certain area to live due to the resources available for
food and shelter. After years, the number of bears living in the area is modeled by the function below. Using the function, find the number of bears after 17 years.
Answers
The number of bears living in the area after 17 years is; 22555
How to solve exponential functions?We are given the function;
f(t) = 103/(1 + 26e^(-0.31t))
Where f(t) is a function that models the number of bears living in the area after t period of years.
Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;
f(17) = 103/(1 + 26e^(-0.31*17))
f(17) = 103/0.00456653759
f(17) ≈ 22555 bears
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If x< 0 and y > 0, where is the point (x,y) located ???
Answers
The points (x, y) lie in the 2nd quadrant when x<0 and y>0.
What are quadrants?Two-dimensional Cartesian axes separate the plane into four infinite regions known as quadrants, each of which is bordered by two half-axes.
The coordinate system's two axes, the x-axis, and the y-axis constitute a region called a quadrant.
The quadrants are generated when the two axes, the x-axis, and the y-axis, cross at a 90-degree angle.
These areas include coordinates or positive and negative values of the x- and y-axes.
So, refer to the graph attached below.
Now, we know that:
Quadrant 1: x>0, y>0
Quadrant 2: x<0, y>0
Quadrant 3 x<0, y<0
Quadrant 4: x>0, y<0
We are given: x<0 and y>0
We can say that when x<0 and y>0 the point (x, y) lies on the 2nd quadrant.
Therefore, the points (x, y) lie in the 2nd quadrant when x<0 and y>0.
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Factor each completely.
5) 250a³ +54
Answers
The required factorized form of the given expression is 2(125a³ + 27).
What is the greatest common factor?The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.
Here,
In the given expression,
Taking 2 common,
= 250a³ + 54
= 2(125a³ + 27)
Thus, the required factorized form of the given expression is 2(125a³ + 27).
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On average, Shandra drinks \frac{3}{5} 5 3 of a 10-ounce glass of water in 1\tfrac{2}{5}1 5 2 hours. How many glasses of water does she drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Answers
In one hour Shandra can drink [tex]4\frac{2}{7}[/tex] ounces of water.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, On average, Shandra drinks [tex]\frac{3}{5}[/tex] of a 10-ounce glass of water
which is = (3/5)×10 ounces = 6 ounces in [tex]1\frac{2}{5}[/tex] an hour.
[tex]1\frac{2}{5}[/tex] hours is equal to 7/5 hours.
So, 6 ounces of water in 7/5 hours.
Therefore, In one hour Shandra can drink {6/(7/5)} = 6×(5/7) = 30/7 ounces.
= [tex]4\frac{2}{7}[/tex] ounces of water.
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write a system of three linear equations with three variables each that has the unique solution . write your equations in standard form. use the variables , , and with non-zero coefficients.
Answers
the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.
2x + 3y + 4z = 30
3x + 4y + 5z = 45
5x + 6y + 7z = 75
The first equation is 2x + 3y + 4z = 30. The coefficients for the variables are 2, 3 and 4 which are all non-zero, meaning that this equation has a unique solution.
The second equation is 3x + 4y + 5z = 45. The coefficients for the variables are 3, 4 and 5 which are all non-zero, meaning that this equation also has a unique solution.
The third equation is 5x + 6y + 7z = 75. The coefficients for the variables are 5, 6 and 7 which are all non-zero, meaning that this equation also has a unique solution.
Therefore, the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.
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A high school teacher earns an average bi-weekly net pay of $1,541.65. Which compound inequality correctly shows the amount of money, m, the teacher can spend if the monthly budget for transportation is between 15% and 20%?
$501.04 ≤ m ≤ $668.05
$462.50 ≤ m ≤ $616.66
$334.02 ≤ m ≤ $501.04
$231.25 ≤ m ≤ $308.33
Answers
The compound inequality correctly shows the amount of money, m, the teacher can spend if the monthly budget for transportation is between 15% and 20% is $462.50 ≤ m ≤ $616.66
How to determine which compound inequality correctly shows the amount of money the teacher can spend?
Given:
The average bi-weekly net pay of the high school teacher is $1,541.65.
To find the monthly budget for transportation, we need to multiply this amount by 2 to get the monthly net pay and then multiply the result by the percentage of the budget for transportation, which is between 15% and 20%.
The compound inequality that correctly shows the amount of money, m, the teacher can spend on transportation is:
$1,541.65 × 2 × 0.15 ≤ m ≤ $1,541.65 × 2 × 0.20
This simplifies to:
$462.495 ≤ m ≤ $616.66
$462.50 ≤ m ≤ $616.66
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Marta walked at 2.9 miles per hour for 0.52 hours. How far did she walk?
Answers
What is the axis of symmetry? What are the coordinates of the vertex?
y=-x² +8x+12
Answers
Answer:
axis of symmetry : x = 4
coordinates of the vertex : (4, 28)
Step-by-step explanation:
Before we start solving, let's define what the coefficients of this quadratic equation is.
[tex]y = ax^2 + bx + c[/tex]
[tex]y = -x^2 + 8x + 12[/tex]
a = -1
b = 8
c = 12
⭐What is the axis of symmetry?
the vertical line that cuts through the vertex and makes the parabola into 2 symmetrical halvesequation: x=To find the axis of symmetry, we need to find the x-coordinate of the vertex.
Equation for the x-coordinate of the vertex:
[tex]x = \frac{-b}{2a}[/tex]
Substitute the values of a, b, and c into this equation and compute.
[tex]x = \frac{-(8)}{2(-1)}[/tex]
[tex]x = \frac{-8}{-2}[/tex]
[tex]x = 4[/tex]
∴ The axis of symmetry is x = 4
⭐What is the vertex of a parabola?
the absolute highest or lowest point of the parabolaTo find the x-coordinate of the vertex, you can use the formula: [tex]x = \frac{-b}{2a}[/tex].
To find the y-coordinate of the vertex, substitute the x-coordinate of the vertex and compute.
x-coordinate: 4
y-coordinate:
[tex]y = -x^2 + 8x + 12[/tex]
[tex]y = -(4)^2 + 8(4) + 12[/tex]
[tex]y = -(16) + 32 + 12[/tex]
[tex]y = -16 + 44[/tex]
[tex]y = 28[/tex]
y-coordinate: 28
∴ The coordinates of the vertex is (4,28)
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Graph the equation. y=-x^2-6x-3
Answers
Answer:
Step-by-step explanation:
It is easier to graph using a free online graphing utility, such as DESMOS. See the attached graph. If the goal is to make a graph with pencil and graph paper, then select a few values of x and put them into the equation to find y.
A talble of a few random values is attached.
The graph includes both the generated DEMOS line (a downwards parabola) and the calculated points from the attached table. Add the points to a blank graph and draw a line as best you can that connects all the points. It is clear that a few more points with negative values of x would help with the line drawing.
For one photography session, Dexter earns no less than $50, but no more than $100. Which inequality can be used to represent his earnings, e? e ≥ 50 or e ≤ 100 e > 50 or e < 100 50 < e < 100 50 ≤ e ≤ 100
Answers
Answer:[tex]50 \leq e \leq 100[/tex]
Step-by-step explanation:
'No less' corresponds to [tex]\leq[/tex].
'No more' corresponds to [tex]\geq[/tex].
Putting this together, we get [tex]50 \leq e \leq 100[/tex].
Answer:
The Answer is D:50 ≤ e ≤ 100
Step-by-step explanation:) hope this helps:)!.
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The college graduate is hired at a law firm with a $10,000 signing bonus, that will be deposited into the savings account. The firm also agrees to immediately pay off
$25,000 in student loan debt. What is the college graduate's new net worth?
O$16,081
O $21,167
O$13,833
O $33,097
Answers
The college graduate's new net worth is given as follows:
$13,833.
How to calculate the net worth?The net worth of a company or of a person is given by the sum of the values of all assets of the person subtracted by the sum of the values of all debts of the person.
The assets if the student are given as follows:
Signing bonus: $10,000.Furniture: $14,278.Savings Account Balance: $4,337.Car Value: $14,950.Computer and Software: $11,774.The liabilities of the student are given as follows:
Car Loan: $3,250.Credit Card Balances: $5,129.Student Loans: $58,097 - $25,000 = $33,097.Thus the student's net worth is calculated as follows:
(10000 + 14278 + 4337 + 14950 + 11774) - (3250 + 5129 + 33097) = $13,863.
Which is closest to the third option among those given.
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Answer:
the correct answer is 12057
Step-by-step explanation:
in order to calculate net worth, add up the assets, and then subtract the debt. be sure to pay attention to details
heres an UNRELATED TO THE QUESTION example:
i have...
$500 in my savings
$20 in my wallet
but im $200 deep in credit card debt..
(add 500 + 20, then subtract 200)
net worth: 320
Select all the possible solutions of 20y < -5 + 18y.
A) y> -2.5
B)y> -
5
2
□C) y < - //
5/2
□E) y >
□F)y <-
-
☐D)-2.5> y
5
38
5
38
Answers
The possible solutions of the inequality expression given as 20y < -5 + 18y are (c) y < -5/2, y < -2.5 and (d) -2.5 > y
How to determine the possible solutions of the inequality?From the question, we have the following parameters that can be used in our computation:
20y < -5 + 18y.
To start with, we need to collect the like terms of both sides
Using the above as a guide, we have the following:
20y -18y < -5
Next, we need to evaluate the like terms of both sides
Using the above as a guide, we have the following:
2y < -5
Lastly, we divide both sides by 2
y < -5/2
Express as decimal
y < -2.5
Switch the positions
-2.5 > y
Hence, the solutions are y < -5/2, y < -2.5 and -2.5 > y
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(10) M is the midpoint of CF for the points C(3, 7)
and F(5, 5). Find MF.
F. 2
G. 2√2
H. √√√2
J. 4
Answers
The coordinate of M is .The length of the line segment MF is √2. Hence option H is the correct option.
What is the coordinates of a point?
An ordered pair of the form of a point's name is (x, y). The x-coordinate is represented by the first integer, and the y-coordinate by the second. You must place a dot at the coordinates of the ordered pair in order to graph a point. Always begin at the beginning when possible.
Given that the coordinates of Point C is (3,7).
The coordinates of Point F is (5,5).
The coordinates of the midpoint of the line segment A(x₁, y₁) and B(x₂, y₂) is
(x₁ + x₂/2, y₁ + y₂/2).
The x-coordinate of midpoint of line segment CF is (3 + 5)/2 = 4
The y-coordinate of midpoint of line segment CF is (7 + 5)/2 = 6
M is midpoint of CF.
Thus the coordinates of M is (4,6).
The formula of distance of two points (x₁, y₁) and (x₂, y₂) is √[(x₂ - x₁)² + (y₂ - y₁)²].
The length of line segment of MF is √[(5 - 4)² + (5 - 6)²] units
= √(1+1)
=√2 units
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PLEASE HELP ILL GIVE YOU FIVE STARS!!!!!!!!!!!!!!!!
Solve the inequality for x.
4 − 2x < 8
1. x > 2
2. x < 2
3. x > −2
4. x < −2
Answers
Answer:
umm it's 3
Step-by-step explanation:
In the diagram below, the point O is referred to as the _____.
Answers
Answer:
d. Orthocenter
Step-by-step explanation:
⭐What is an orthocenter?
the point of concurrency of the altitudes of a triangle⭐What is an altitude?
a perpendicular segment from the vertex to the opposite side of the vertexcreates a right angle (90°)We can see that point O is the point of concurrency of the altitudes of this given triangle because there are 90° formed by the perpendicular lines.
Thus, O is referred to as the orthocenter.
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i am a number that is between 25 and 55. i am a multiple of the number 4 and the number 6. one of my factors is 9. what number am i?
Answers
36\6=6
The answer is 36
the accuracy of a sample is a measure of how closely it reports the true values of the population it represents. true false
Answers
A sample's accuracy is determined by how well it captures the genuine characteristics of the population it represents true
Accuracy is a measure of how closely a sample reflects the true values of the population it is representing. A sample that is accurate is one that accurately reflects the characteristics of the population it is representing. For example, if a sample is taken from a population of 1000 people, the sample should represent the diversity of the population, such as age, gender, race, and other characteristics. If the sample accurately reflects these characteristics, then it can be said to be accurate. The accuracy of a sample can be determined by comparing it to the population it is representing, either through surveys, interviews, or other data collection methods. If the sample closely matches the true values of the population, then it can be said to be accurate. If there are discrepancies between the sample and the population, then the sample is not accurate.
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