create a set of coordinates to model a relation that is linear function.
A set of coordinates to model a linear relation is (0,0), (1,1), (2,2), (3,3), and (4,4).
What is a linear relation?A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).
The points on a line always form a linear relation.
Therefore, consider the line y = x.
The set of coordinates on y = x is as follows:
(0,0), (1,1), (2,2), (3,3), (4,4)... and so on.
Hence, a set of coordinates to model a linear relation is (0,0), (1,1), (2,2), (3,3), and (4,4).
Learn more about linear relations:
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If x = -3 and y = 4x - 1, then y equals what number
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{y = 4x - 1}[/tex]
[tex]\large\text{If x= -3, then substitute it into the given equation}[/tex]
[tex]\large\textsf{y = 4(-3) - 1}[/tex]
[tex]\large\textsf{4(-3) = \boxed{\bf -12}}[/tex]
[tex]\large\textsf{y = -12 - 1}[/tex]
[tex]\large\textsf{-12 - 1 = y}[/tex]
[tex]\large\textsf{-12 - 1 = \boxed{\bf -13}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf y = -13}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex] \quad \quad \quad \quad\tt{y = 4x - 1}[/tex]
[tex] \quad \quad \quad \quad\tt{y = 4( - 3) - 1}[/tex]
[tex] \quad \quad \quad \quad\tt{y = (- 12)- 1}[/tex]
[tex] \quad \quad \quad \quad\tt{y = - 13}[/tex]
Hence, The value of y is:[tex] \quad \quad \quad \quad \boxed{\tt \color{green}{y = - 13}}[/tex]
______
#LetsStudy
The volume of a particular die is 6000 mm. Use the fact that 10 mm equals 1 cm to convert this
volume to cm.
Answer:
600 cm³
Step-by-step explanation:
6000 mm/10 mm = 600 cm
PLEASE HELP I WILL GIVE BRAINLIEST TO THE FIRST PERSON THAT ANSWER PLEASE
Answer:
[tex]a) x = k \times \frac{1}{y^2} \ , \ where \ k \ is \ a \ constant\\\\b) x = 3, \ when\ y\ =\ 10\\\\c) y = 10, \ when \ x = 3[/tex]
Step-by-step explanation:
a)
[tex]x \ \alpha \ \frac{1}{y^2}\\\\x = k \times \frac{1}{y^2}\\\\[/tex] [tex][ \ where \ k \ is \ a \ constant \ ][/tex]
Find k.
Given x = 12, y = 5,
[tex]12 = k \times \frac{1}{5^2}\\\\k = 12 \times 25 = 300[/tex]
b)
Find x.
Given y = 10
We have k = 300
[tex]x = k \times \frac{1}{y^2}\\x = 300 \times \frac{1}{10^2} \\\\x= \frac{300}{100} = 3[/tex]
c)
Find y
Given x = 3
We have k = 300
[tex]x = k \times \frac{1}{y^2}\\\\3 = 300 \times \frac{1}{y^2}\\\\\frac{1}{y^2} = \frac{3}{300}\\\\\frac{1}{y^2} = \frac{1}{100}\\\\y^2 = 100\\\\y = \sqrt{100} = 10[/tex]
Keiko brought $51.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/6 as much as the sketchbook, and the sketchbook cost 3/4 the cost of the paint set. Keiko had $3.00 left over after buying these items.
What was the cost of each item?
Step-by-step explanation:
[(1/6 × 3/4) + (3/4) + 1] n = 51.75 -3
(⅛ + ¾ +1)n = 48.75
15/8 n = 48.75
1.875 n = 48.75
n = 48.75/1.875
n = 26
so, the cost of :
the brush = ⅛×26 = $ 3.25
the sketchbook = ¾×26 = $ 19.5
the pain set = $ 26
Which linear function represents the line given by the point-slope equation y - 8 = % (x - 4)?
?? Pls help :0
Answer:
option 2
Step-by-step explanation:
[tex]y - 8 = \frac{1}{2} (x - 4)\\\\y = \frac{1}{2}x - 2 + 8\\\\y = \frac{1}{2}x + 6\\\[/tex]
Kenny recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-x-4 = 0 and calculate its properties
hope this helps!
PLZ HELP ASAP !!!!!!
Answer:
c there you go hi your welcome
Write three solutions for the inequality 13 - 8X < -11
Answer:
x > 3
-x < -3
3 < x
-3 > -x
Step-by-step explanation:
-8x < -24
x > 3
-x<-3
if 4 labourers can finish a job in 6days how long would it take 3men to do the job
Answer:
yes do have in an any job that occurred the an evrey one to know you.
Answer:
8 days
Step-by-step explanation:
no of men no of days
4 6
3 let be x
there is indirect variation
4/3=6/x
since it is in indirect variation do the reciprocal of any one fraction among these two fractions
4/3=x/6
do cross multiplicatin
3*x=6*4
x=24/3
x=8
therefore it take 8 days to complete the same work by 3 men.
Identify the equation for the parabola with vertex (0, 0) and directrix x = 2.5.
Answer:
jk
Step-by-step explanation:
Calculate the rate of change for the following data
which sequence is a geometric progression
a 2 4 6 8
b 1 1 2 3
c1 2 4 8
d1 3 5 7
9514 1404 393
Answer:
c 1, 2, 4, 8
Step-by-step explanation:
It can work well to look at the first differences.
a: 4 -2 = 2; 6 -4 = 2 ⇒ differences are 2, 2, 2
b: differences are 0, 1, 1
c: differences are 1, 2, 4
d: differences are 2, 2, 2
__
Sequences 'a' and 'd' have common differences that are constant. These are arithmetic sequences. Sequence 'b' is of no named type.
Sequence 'c' has first differences that have a common ratio, the same as the sequence itself. This is an indication the sequence is geometric. The ratios of values are 2/1 = 2; 4/2 = 2; 8/4 = 2, so the terms have a common ratio.
Sequence c is a geometric progression.
HELPPP!!! PLEASEEEEEEE
Answer:
Step-by-step explanation:
37
Use two equations in two variables to solve the problem.
A merchant wants to mix peanuts and cashews, as shown in the illustration, to get 42 pounds of mixed nuts that will be sold at $6 per pound. How many pounds of each should the merchant use?
Answer:
Step-by-step explanation:
Which drink has more sugar per fluid ounce? 50 POINTS
2 times the sum of a number and 9 equals 4
Answer
Step-by-step explanation:
Define the word term
Answer:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.
hope this helps
have a good day :)
Step-by-step explanation:
Phineas puts $600 into a certificate of deposit that earns 3.09%. If the money is
compounded monthly, how much will it be worth in 4 years?
Answer:
$678.83
Step-by-step explanation:
Given :
Principal, P = $600
Rate = 3.09% = 0.0309
Period, t = 4 years
Compounding times per period, n = 12 (monthly)
The compound interest formula :
A = P(1 + r/n)^nt
A = 600(1 + 0.0309/12)^(12*4)
A = 600(1 + 0.002575)^48
A = 600(1.002575)^48
A = 600 * 1.1313834
A = 678.83004
Worth in 4 years = $678.83
Deborah finds that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 times, she calculated that she flipped "heads" 45 times. What is the percent difference in theoretical and experimental probability?
Answer:
I have the same doubt so pls answer
Step-by-step explanation:
When the mean value of the dependent variable is independent of variation in the independent variable, the slope of the regression line is:________
Answer:
zero
Step-by-step explanation:
The optimally fitted straight line via the locations and points on a graph is determined via linear regression. You may use regression equations to see if your data can indeed be fitted into a formula. If you want to create assumptions from your data, either future forecasts or indicators of previous behavior, using the Regression equation is highly beneficial.
The regression line is expressed as:
[tex]Y_i = a +bx_i[/tex]
where;
[tex]Y_i[/tex] = dependent variable
a = intercept
b = slope
[tex]x_i[/tex] = independent variable
So, when [tex]Y_i[/tex] is independent of the variation of [tex]x_i[/tex], it means that [tex]Y_i[/tex] does not linearly depend on [tex]x_i[/tex] . Thus, the slope of the regression will be zero.
In circle Q, the mLKM is 255º. Find the measurement of
Hope this help!!!
Have a nice day!!!
Use logarithmic differentiation to differentiate the question below
[tex]y = x \sqrt[3]{1 + {x}^{2} } [/tex]
Answer:
[tex] \orange{ \bold{\frac{dy}{dx} =\frac{ 5{x}^{2} + 3 }{3\sqrt[3]{(1 + {x}^{2})^{2} } }}}[/tex]
Step-by-step explanation:
[tex]y = x \sqrt[3]{1 + {x}^{2} } \\ assuming \: log \: both \: sides \\log y = log(x \sqrt[3]{1 + {x}^{2} } ) \\ \therefore log y = logx + log(\sqrt[3]{1 + {x}^{2} } ) \\ \therefore log y = logx + \frac{1}{3} log({1 + {x}^{2} } ) \\ differentiating \: both \: sides \: w.r.t.x \\ \frac{1}{y} \frac{dy}{dx} = \frac{1}{x} + \frac{1}{3} . \frac{1}{(1 + {x}^{2}) } (0 + 2x) \\ \frac{1}{y} \frac{dy}{dx} = \frac{1}{x} + \frac{2x}{3(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3(1 + {x}^{2}) + 2 {x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3 + 3{x}^{2} + 2 {x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3 + 5{x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{dy}{dx} =\frac{y(3 + 5{x}^{2} )}{3x(1 + {x}^{2}) } \\ \\ \frac{dy}{dx} =\frac{x \sqrt[3]{1 + {x}^{2} } (3 + 5{x}^{2} )}{3x(1 + {x}^{2}) }\\ \\ \frac{dy}{dx} =\frac{(3 + 5{x}^{2} )\sqrt[3]{1 + {x}^{2} } }{3(1 + {x}^{2}) }\\ \\ \purple{ \bold{\frac{dy}{dx} =\frac{ 5{x}^{2} + 3 }{3\sqrt[3]{(1 + {x}^{2})^{2} } }}}[/tex]
What is the result when the number 84 is decreased by 50%?
Answer:
42
Step-by-step explanation:
Answer:
42
84 ×50%by100 =42. 84-42= 42. hope helpful answerA recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters were randomly selected from the population of all eligible voters. What is the probability that fewer than 11 of them will vote
Answer:
0.0479 = 4.79% probability that fewer than 11 of them will vote
Step-by-step explanation:
For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
70% of all eligible voters will vote in the next presidential election.
This means that [tex]p = 0.7[/tex]
20 eligible voters were randomly selected from the population of all eligible voters.
This means that [tex]n = 20[/tex]
What is the probability that fewer than 11 of them will vote?
This is:
[tex]P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308[/tex]
[tex]P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120[/tex]
[tex]P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039[/tex]
[tex]P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010[/tex]
[tex]P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002[/tex]
[tex]P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0[/tex]
The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then
[tex]P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479[/tex]
0.0479 = 4.79% probability that fewer than 11 of them will vote
5338 wins in 34 years
Answer:
is that a question?????????????
I can't find the surface area lol
n=3.14
Answer:
216 square feet
Step-by-step explanation:
The formula for the surface area of a rectangular prism is:
2 (lw + hl + hw)
w= width
h= height
l= length
Use the formula with the given dimensions:
2 (6 • 2 + 12 • 6 + 12 • 2)
= 2 (12 + 72 + 24)
= 2 (108)
= 216
Surface area is measured in square feet
(feet in this case)
Hope this helps
When 390 junior college students were surveyed,115 said that they have previously owned a motorcycle. Find a point estimate for p, the population proportion of students who have previously owned a motorcycle.
a. 0.705
b. 0.228
c. 0.295
d. 0.418
Answer:
0.2948 ≅ 0.295
Step-by-step explanation:
According to the Question,
Given, 390 junior college students were surveyed,115 said that they have previously owned a motorcycle .So, the population proportion of students who have previously owned a motorcycle is 115/390 ⇔ 0.2948 ≅ 0.295
The following measurements were recorded for the drying time, in hours, of a certain brand of latex paint: 3.4 2.5 4.8 2.9 3.6 2.8 3.3 5.6 3.7 2.8 4.4 4.0 5.2 3.0 4.8 Assuming that the measurements represent a random sample from a normal population, find a 95% prediction interval for the drying time for the next trial of the paint.
Answer:
A 95% prediction interval for the drying time for the next trial of the paint is between 3.25 and 4.33 hours.
Step-by-step explanation:
First we have to find the sample mean and the sample standard deviation.
We have 15 measurements. Using a calculator, the mean is [tex]\overline{x} = 3.79[/tex] and the standard deviation is of [tex]s = 0.97[/tex].
Now, we have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.1448
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.1448\frac{0.97}{\sqrt{15}} = 0.54[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 3.79 - 0.54 = 3.25 hours
The upper end of the interval is the sample mean added to M. So it is 3.79 + 0.54 = 4.33 hours
A 95% prediction interval for the drying time for the next trial of the paint is between 3.25 and 4.33 hours.
Write a linear equation in standard form for the line that goes through (2, -3)
and (4, -2).
A. X + 2y = -4
B. y - 3 = {(x - 2
C. x - 2y = 8
D. X+ 4y = 12
9514 1404 393
Answer:
C. x -2y = 8
Step-by-step explanation:
One way you can do this is to use the form ...
(Δy)(x -x1) -(Δx)(y -y1) = 0
where Δx = x2 -x1 = 4 -2 = 2, and Δy = y2 -y1 = -2 -(-3) = 1
This gives ...
(x -2) -2(y -(-3)) = 0 . . . above form with numbers filled in
x -2y -8 = 0 . . . . . . . general form
x -2y = 8 . . . . . . . . . standard form
_____
Additional comment
You can use any of several other strategies, including finding the slope and y-intercept, then rearranging the equation.
Another strategy that works is to try the answer choices. You might notice that the first given point works in the first equation, so it may make sense to try the second given point in each equation.
The above version of the equation of a line is a variation on one that says the slope of a line is the same everywhere:
[tex]\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}\ \Rightarrow\ (y_2-y_1)(x-x_1)=(x_2-x_1)(y-y_1)\\\\(y_2-y_1)(x-x_1)-(x_2-x_1)(y-y_1)=0[/tex]
How many 6 oz servings are in a 1.125-quart pitcher of lemonade? There are servings. Enter an integer or decimal number[more..] Question Help: Message instructor Calculator
Answer:
6
Step-by-step explanation:
1 qt = 4 cups
1 cup = 8 fl oz
1.125 qt * (4 cups)/(1 qt) * (8 fl oz)/(1 cup) = 36 fl oz
(36 fl oz)/(6 fl oz) = 6
Answer: 6 servings
