Consider the points R and S in the figure. How many different lines pass through
both R and S? Explain.
Answers
Answer:
Here we have two points R and S.
How many lines pass through both R and S?
Well, we can have only one line that passes through both R and S.
Because we are working with lines, we can only see a plane X-Y here.
Then the points R and S can be written as:
R = (x1, y1) and S = (x2, y2)
Now, a line or a linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Now, let's suppose that we have two different lines that pass through points R and S.
From above, both lines must have the same slope, because they pass through the same points.
y1 = a*x + b
y2 = a*x + c
So the only thing that our lines can have different is the y-intercept, but the y-intercept acts as a vertical shift.
This means, if we have different values in the y-intercept, we will have two parallel lines.
And two parallel lines can never pass through the same points, which means that we can not have different values for the y-intercept.
Then the two lines must be identical.
Then there is only one line that passes through points S and R at the same time,
Related Questions
What is the equation of the linear function represented by the table?
(–5 ,14), (–2, 11) (1, 8) (4, 5)
1 . y = negative x + 9
2. y = negative x + 13
3. y = x + 13
4. y = x + 9
Answers
Answer:
1. y= -x+9
Step-by-step explanation:
plug the coordinates inside each of the equation
14 = -(-5)+9 --> 14 = 14
11 = -(-2)+9 --> 11=11
8 = -(1)+9 --> 8=8
5 = -(4)+9 --> 5=5
Answer:
Answer:
1. y= -x+9
Step-by-step explanation:
plug the coordinates inside each of the equation
14 = -(-5)+9 --> 14 = 14
11 = -(-2)+9 --> 11=11
8 = -(1)+9 --> 8=8
5 = -(4)+9 --> 5=5
Step-by-step explanation:
If x/5+6 =-14, then x=
Answers
Answer:
(5+6)14 = x
11×14 = x
154 =x
Answer:
x = -100
Step-by-step explanation:
x/5+6 =-14
Subtract 6 from each side
x/5+6 -6 = -14-6
x/5 = -20
Multiply each side by 5
x/5*5 = -20*5
x = -100
Under what circumstances can a very small treatment effect be statistically significant? Explain your response.
a) if the sample size big and the sample variance is small
b) if the sample size and the sample variance are both big
c) if the sample size is small and the sample variance is big
d) if the sample size and the sample variance are both small
Answers
Answer:
The correct answer is:
if the sample size big and the sample variance is small (a)
Step-by-step explanation:
The sample size of a study is the group of subjects that are selected from the general population and is considered an accurate representation of the population. With a large sample size, the likelihood of type I and type II errors occurring reduces. Increasing sample size allows the researcher to increase the significance level of the finding because it increases accuracy in coverage of the universal set, hence the effect accurately mirrors what goes on in the whole group. However, smaller sample size, on the other hand, does not accurately mirror the whole larger group.
The sample variance is the difference between the observed value and the true(actual). It is a measure of deviation or variability between the results and the true value. A smaller variance means increase closeness to the true value hence increase in accuracy and statistical significance.
Therefore, when the treatment effect is small but the sample size is large and variance is small, then the result is statistically significant.
If LN=3+8x, find LN
L•——–8•——M——6x-1——–•N
Answers
Answer:
Value of LN = 19 units
Step-by-step explanation:
Given:
LN = 3 + 8x
Find:
Value of LN
Computation:
We know that LM + MN = LN
So,
8 + 6x - 1 = LN
So,
3 + 8x = 8 + 6x - 1
3 + 8x = 7 + 6x
8x - 6x = 7 - 3
2x = 4
x = 2
So,
LN = 3 + 8x
LN = 3 + 8(2)
LN = 3 + 16
LN = 19
Value of LN = 19 units
A company sells x units of an item each day at the rate of Rs. 50. The cost of manufacturing each unit of an item is Rs. 36.50 and the dristributor demands a charge of Rs. 3.50 per unit. If the daily overhead charge is Rs. 2600, find the profit function. Also find the profit if 360 units of an item are produced and sold daily?
Answers
Answer:
Y(x) = 10x - 2600
Profit= RS. 1000
Step-by-step explanation:
Amount sold per item=RS. 50.
Cost of manufacturing= RS. 36.5
Distributor charges= Rs 3.5
Daily over head charge= RS.2600
Profit function Y (x)
Y (x) =x(50) -36.5(x) -3.5(x)-2600
Y(x) = (50-36.5-3.5)x-2600
Y(x) = 10x - 2600
If x= 360
Profit Y = 10(360) - 2600
Profit Y = 3600-2600
Profit = 1000
Profit= RS. 1000
-5(7+2y)+15(x+2y); x=7 and y=-7
Answers
Answer: -5(7+2(-7))+15((7)+2(-7)) = -70
im not sure
Translate (in terms of x) then solve the algebraic equation. When the sum of a number and 2 is subtracted from 13 the result is 8
Answers
subtract 13 from both sides
-(x+2) = -5
divide by -1 to get rid of negative
(x+2) = 5
subtract 2 from both sides
x=3
What is the best estimate for 1/5x24.5?
Answers
Answer:
5.
Step-by-step explanation:
24.5 is close to 25 and 25 * 1/5 = 5.
The data show the list and selling prices for several expensive homes. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted selling price of a home having a list price of $ million. Use a significance level of 0.05.
Answers
Answer:
The best predicted selling price of a home having a list price of $22 million is $20.52 million.
Step-by-step explanation:
The missing data is:
List price (x) (millions of $)
(1) 1.6 (2) 4.2 (3) 2.1 (4) 1.6 (5) 2.3 (6) 4
Selling price (y) (millions of $)
(1) 2 (2) 4.6 (3) 1.8 (4) 1.9 (5) 2.4 (6) 3.6
Use Excel to perform the regression analysis.
The significance level is, α = 0.05.
The regression output is attached below.
The regression equation is:
[tex]\hat y=0.28+0.92x[/tex]
The value of t-statistic is:
t = 0.676.
The p-value is:
p-value = 0.536
Compute the predicted selling price of a home having a list price of $22 million as follows:
[tex]\hat y=0.28+0.92x[/tex]
[tex]=0.28+0.92\times 22\\\\=0.28+20.24\\\\=20.52\ \text{million}[/tex]
Thus, the best predicted selling price of a home having a list price of $22 million is $20.52 million.
Below are some data examining whether reading the textbook for this course is related to class enjoyment.
Time Reading Textbook 1 2 3 4 5 6 1 2 3 5
Class Enjoyment 20 24 35 46 67 80 12 34 34 78
Note: Text Reading Time: 1 = does not read – 6 = only book I have ever read. Class Enjoyment: 1-100 scale.
Calculate the slope
a) 14.50
b) 13.36
c) 19.00
d) 12.43
Answers
Answer:
13.36
Step-by-step explanation:
I will first create a table
X. Y. XY. X²
1. 20. 20. 1
2. 24. 48. 4
3. 35. 105. 9
4. 46. 184. 16
5. 67. 335. 25
6. 80. 480. 36
1. 12. 12. 1
2. 34. 68. 4
3. 34. 102. 9
5. 78. 430. 25
ΣX = 32
ΣY = 430
ΣXY = 1744
ΣX² = 130
n = 10
The formula for regression line is given as :
Y = a + bX
a = intercept
b = slope
The question requires us to find b which is the slope.
b = nΣXY-ΣXΣY/nΣX²-(ΣX)²
= 10x1744-32x430/10x130-(32)²
= 17440-13760/1300-1024
= 3680/276
= 13.36
b = 13.36
Write each statement as a decimal to two decimal places.
$6.00 to 95 cents =
3 hours to 35 minutes =
42 inches to 2 feet =
(Hint: there are 12 inches in 1 foot.)
Answers
Answer:
Step-by-step explanation:
To convert the statement to decimals, we need to use the following conversion rate.
Since $1 = 100cents
Writing $6.00 to 95 cents as a decimal, we need to writw both units in the same units.
$6.00 to 95 cents = 600cents to 95 cents
= 600cents:95cents
= 600cents/95cents
= 6.32 (to 2dp)
For 3 hours to 35 minutes
SI=ince 1 hour = 60minutes
3 hours to 35 minutes = (3*60)minutes to 35 minutes
= 180minutes : 35 minutes
= 180minutes/35 minutes
= 5.14 (to 2dp)
For 42 inches to 2 feet
Given 12inches = 1 foot
42 inches to 2 feet = 42inches to (2*12)inches
= 42inches to (24)inches
= 42inches : 24 inches
= 42inches/24 inches
= 1.75 (to 2dp)
Plewse help me idk how to do it (20 points)!!
Answers
The explicit formula for a straight line is written as y = Mx + b, where m is the slope and b is the y intercept.
The y intercept is the y value of where the line crosses the x axis. On the above picture the line crosses the x axis at -2, so the y intercept is -2
Use 2 points in the line for the slope:
Slope = change in y over the change in x:
(0,-2) (6,0)
Slope = (0- -2) / (6-0) = 2/6 = 1/3
Answer: y = 1/3x-2
Imagine you have five nieces and nephews and their ages are 4, 10, 8, 9, and 15. The average age of your nieces and nephews is _______, while their median age is
Answers
What is the best estimate of the number corresponding to A?
A
1
2
3
4
0 2.6
0 2.4
0 2.2
2.3
Answers
Answer:
2.6
Step-by-step explanation:
Let us assume that the unit of measurement is centimetre (cm)
To obtain the value of A, do the following:
From the diagram above, we can say that the scale is 5 cm to 1 unit since there are 5 lines before a number.
Next, we shall determine the value of 1 cm.
5 cm = 1 unit
Therefore,
1 cm = 1/5 = 0.2 unit
This means that 1 small line is equivalent to 0.2 unit.
Now we shall determine A as follow:
A is exactly 3 lines (3 cm) after number 2.
1 cm = 0.2 unit
3 cm = 3 x 0.2 = 0.6 unit
Now, add 0.6 to 2 to obtain the value of A.
A = 2 + 0.6
A = 2.6
Therefore, A correspond to 2.6
Think of a problem dealing with two possibly related variables (Y and X) that you may be interested in. Share your problem and discuss why a regression analysis could be appropriate for this problem. Specifically, what statistical questions are you asking? Why would you want to predict the value of Y? What if you wanted to predict a value of Y that’s beyond the highest value of X (for example if X is time and you want to forecast Y in the future)?
Answers
Answer:
Explained below.
Step-by-step explanation:
Consider the variables height and weight.
It is usually seen that taller people are heavier than shorter people.
So a regression analysis can be used to specify this belief.
The statistical questions that are being asked here are:
What the independent and dependent variables?Are there any other factor influencing the dependent variable other than the independent variable?The variable Y is considered as the dependent variable and the variable Y is considered as the independent variable. And the main purpose of the regression analysis is to predict the value of Y when the value of X is given.
The linear regression model can be used to predict the past and future value of the dependent variables provided that the independent variables for those times are provided.
Determine the total annual FICA tax for an annual salary of $38,480 A $294.37 B $717.96 C $2,385.76 D $2,943.72
Answers
Answer:
D
Step-by-step explanation:
The total annual FICA tax for an annual salary of $38,480 is D $2,943.72.
FICA tax comprise of Social security tax + Medicare tax
Where:
Social security tax=6.2%Medicare tax=1.45%FICA tax =7.65%Hence:
FICA tax=($38,480×6.2%)+($38,480×1.45%)
FICA tax=$2,385.76+$557.96
FICA tax= $2,943.72
Inconclusion the total annual FICA tax for an annual salary of $38,480 is D $2,943.72.
Learn more about FICA tax here:https://brainly.com/question/1154643
V2y + 3 = 11
3. What is the value of y in this equation?
O A. y = 32
OB. y = 64
O C. y = 14
OD. y = 16
Answers
Answer:
v2y +3=11
V2y=11- 3
V2y=8
2y=8²
2y=64
y=64÷2
y=32 Answer
Estimate the value of each each expression to the nearest integer
Answers
Answer:
Step-by-step explanation:
14. 2
15. 3
16. -5
17. -11
Which of the following sets are equal to {x | x < 9 and x >2}
Question 2 options:
{3, 4, 5, 6, 7, 8}
{2, 3, 4, 5, 6, 7, 8, 9}
{8, 7, 6, 5, 3}
{ }
{2, 3, 4, 5, 6, 7}
Answers
Answer:
{3, 4, 5, 6, 7, 8} and {8, 7, 6, 5, 3}
Step-by-step explanation:
The sets {3, 4, 5, 6, 7, 8} and {3, 4, 5, 6, 7, 8} will be constraint through {x | x < 9 and x >2} so option (A) and (C) will be correct.
What is an set?A set is a combination of specific quantities in which the meaning of each variable must be the same.
For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.
Another example could be a set of the whole number like that.
Given the constraint
{x | x < 9 and x >2}
It means x should be greater than 2 and less than 9
So all possible values are
3,4,5,6,7,8
Now set associated with these number is {3, 4, 5, 6, 7, 8} and {8, 7, 6, 5, 3}.
Hence "The sets {3, 4, 5, 6, 7, 8} and {3, 4, 5, 6, 7, 8} will be constraint through {x | x < 9 and x >2}".
To learn more about the sets,
https://brainly.com/question/8053622
#SPJ2
mg+rg=2H, solve for g
Answers
Answer:
[tex]g=\frac{2\,H}{m+r}[/tex]
Step-by-step explanation:
Starting with :
m g + r g = 2 H
extract "g" as a common factor on the left of the equal sign:
g (m + r) = 2 H
Now, in order to solve for "g" , divide both sides of the equal sign by the binomial (m + r):
g = (2 H )/(m + r)
[tex]g=\frac{2\,H}{m+r}[/tex]
Peter mixes 4 1/3 cups of orange juice, 2 1/3 cups of ginger ale, and 6 1/2 cups of strawberry lemonade to make some punch. What is
the total number of cups of punch that Peter makes?
Answers
Answer:
13 1/6 cups.
Step-by-step explanation:
4 1/3 + 2 1/3 + 6 1/2
= 4 + 2 + 6 + 1/3 + 1/3 + 1/2
= 12 + 2/6 + 2/6 + 3/6
= 12 + 7/6
= 12 + 1 1/6
= 13 1/6.
Answer:
13 1/6
Step-by-step explanation:
The net of a square pyramid is shown
below. What is the surface area of the
pyramid?
A 100 cm2
B 136 cm2
C 172 cm2
D 192 cm2
Answers
Answer:
Option (D)
Step-by-step explanation:
Surface area of a square pyramid is determined from the formula,
Surface area = Area of the square base + 4(Area of one lateral triangular side)
Area of the base = (Side)²
= 8²
= 64 cm²
Area of one lateral triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(8)(8)[/tex]
= 32 cm²
Therefore, surface area of the square pyramid = 64 + 4(32)
= 64 + 128
= 192 cm²
Therefore, Option (D) will be the correct option.
If a and b are two digits, then the following fraction
(ab0+ab0ab)÷(ab) -1 is equal to.
A.21 B. 1010
C. 110
D. 111
E. 1110
Answers
Answer:
B. 1010
Step-by-step explanation:
Simplify:
(ab0+ab0ab) ÷ (ab) - 1Note that:
ab = 10a +bab0 = 10* (10a + b) = 10abab0ab = 1000ab + ab = 1001 abTherefore:
(ab0+ab0ab) ÷ (ab) - 1 =(10ab + 1001ab) ÷ (ab) - 1 =(1011ab) ÷ (ab) - 1 = 1011 - 1= 1010Correct choice is B.1010
Write the answer in standard form: (−5x^4 + 6x^3 − 43) + (6x^5 − x^2 + 12x + 12) Please Show work
Answers
Answer:
The answer in standard form to the given expression is 6x⁵ - 5x⁴ + 6x³ - x² + 12x - 31
Step-by-step explanation:
(-5x⁴ + 6x³ - 43) + (6x⁵ - x² + 12x + 12)
Combine like terms. When the problem says to put the equation in standard form, it means that the terms will go in order from greatest to least exponential number.
6x⁵ - 5x⁴ + 6x³ - x² + 12x - 31
1.008÷0.8
show work
Answers
Answer:
1.26
Step-by-step explanation:
1.008 divided by o.8 =1.26
Answer:
1.26, Dude get a calculator
Step-by-step explanation:
0 1. 2 6 0
8 1 0. 0 8 0
− 0 Listen. Its hard to do long division ona computer.
1 0
− 8
2 0
− 1 6
4 8
− 4 8
0 0
− 0
0
Paulina’s father pays her $20 per month for doing chores. In April, she makes a deal with him. Rather than paying her $20, he can pay her 1¢ on the first day of the month, 2¢ on the second, 4¢ on the third, and continue each day by doubling the amount he paid on the previous day. Use the properties of exponents to write expressions for the first 5 days of the month. The, explain if Paulina will make more or less than $20 per month using this pattern.
Answers
Answer:
Step-by-step explanation:
This is a geometric sequence with first element 1 and common ratio 2:
a(n) = 1*2^(n - 1)
Thus, a(1) = 1
a(2) = 2^(2 - 1) = 2
a(3) = 2^(3 - 1) = 4
a(4) = 2 ^( 4 - 1) = 2^ 3 = 8
a(5) = 2^(5 -1) = 2^ 4 = 16
One month is approximately 30 days. Therefore,
a(30) = 2^ (30 - 1) = 2^29 = 536870912
Using this pattern, Paulina will "make" $536870.12 vs $20 via Paulina's father's plan.
Number #7 please I need help on it
Answers
Explanation:
She is paid 7$ for each of the first 7 demo
And she is paid 11$ for each demo over the 7 demo
But she did 12 demo, which mean the first 7 demo she got paid 7$ each and for the last 5 demo she got paid 11$ for each demo.
(7 • 7) + (11 • 5)
= 49 + 55
= 104$
Solve the following proportion for x.
X/11 = 7/17
Round your answer to the nearest tenth.
X = ??
Answers
Answer:
77/17 = 4.52941Nearest tenth = 4.5Step-by-step explanation:
[tex]\frac{x}{11}=\frac{7}{17}\\\\\mathrm{Multiply\:both\:sides\:by\:}11\\\\\frac{11x}{11}=\frac{7\cdot \:11}{17}\\\\\mathrm{Simplify\:}\frac{11x}{11}:\quad x\\\\\mathrm{Simplify\:}\frac{7\cdot \:11}{17}:\quad \frac{77}{17}\\\\x=\frac{77}{17}[/tex]
4.
Oscar Hammerstein's Island, an amusement park, plans a TV ad campaign. It will
run 30-second ads for the next 20 days on a daytime show. Hammerstein's will
also run 30-second ads for the next 5 days during a prime-time show. A 30-second
daytime ad costs $6,200, a 30-second prime-time ad costs $165,000. What is the
total ad campaign cost?
Answers
Answer:
Hey there!
30-second ads for 20 days on a day time show.
6200(20)=124000
30-second ads for 5 days on a prime time show.
165000(5)=825000
124000+825000=949000 dollars.
Let me know if this helps :)
(7-10x)/5 simplify express on integers and fractions
Answers
Answer:
-2x + 7/5
Step-by-step explanation:
(7-10x)/5
= [tex]\frac{-10x}{5}[/tex] + [tex]\frac{7}{5}[/tex]
= -2x + 7/5