Name the slop and one point that is on the line represented by the equation: y + 3 = -1/2(x +7)
Answers
Answer:
The slope is -1/2 and a point on the line is ( -7,-3)
Step-by-step explanation:
y + 3 = -1/2(x +7)
This is in point slope form
y - y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y - -3 = -1/2(x - -7)
The slope is -1/2 and a point on the line is ( -7,-3)
Related Questions
Suppose you have some money to investfor simplicity, $1and you are planning to put a fraction w into a stock market mutual fund and the rest, , into a bond mutual fund. Suppose that $1 invested in a stock fund yields after 1 year and that $1 invested in a bond fund yields , suppose that is random with mean 0.07(%) and standard deviation , and suppose that is random with mean (%) and standard deviation . The correlation between and is . If you place a fraction w of your money in the stock fund and the rest, , in the bond fund, then the return on your investment is .
Answers
Answer and Step-by-step explanation:
Solution:
Given:
Mean = 0.08
Standard deviation = 0.07
W = 0.75
The return on investment is:
R = W * RS + (1 – W)*RB
Compute the mean and standard deviation:
Mean:
E(R) = E[ W X RS + (1 – W) X RB]
The mean of R is given:
µ = W * RS + (1 – W)*RB
= 0.75 X 0.08 + (1 – 0.75) 0.05
= 0.06 + 0.0125
= 0.0725
Variance:
Var (R) = var [ w x RS + (1 – W)RB]
Var (R) = W 2 Var (RS )+ (1 –W)2 Var (RB) + 2w (1-w)cov(RS , RB)
The standard deviation of R is given by:
∂2 = W2 X (0.07)2 + (1 – W) 2 X( 0.04)2 + 2 W (1 – W) X [0.07 X 0.04 X 0.25]
Where [0.07 X 0.04 X 0.25] is correlation between RS and RB.
A club has 30 members is formed from 12 democrats and 18 republicans. How many different committees consisting of 8 democrats
and 8 republicans are possible to be formed?
Answers
Given:
Total number of members = 30
Number of democrats = 12
Number of republicans = 18
To find:
Number of different committees consisting of 8 democrats and 8 republicans are possible to be formed.
Solution:
Total number of ways to selecting 8 democrats from 12 democrats is
[tex]^{12}C_8=\dfrac{12!}{8!(12-8)!}[/tex]
[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9\times 8!}{8!4!}[/tex]
[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9}{4\times 3\times 2\times 1}[/tex]
[tex]^{12}C_8=495[/tex]
Total number of ways to selecting 8 republicans from 18 republicans is
[tex]^{18}C_8=\dfrac{18!}{8!(18-8)!}[/tex]
[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11\times 10!}{8!10!}[/tex]
[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11}{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}[/tex]
[tex]^{18}C_8=43758[/tex]
Now, number of different committees consisting of 8 democrats and 8 republicans are possible to be formed is
[tex]^{12}C_8\times ^{18}C_8=495\times 43758[/tex]
[tex]^{12}C_8\times ^{18}C_8=21660210[/tex]
Therefore, the total possible ways are 21660210.
3. Use the equation y = 3.2x + 5
to complete in the table.
Type the answers in the boxes below.
1
2
4
3. Is y proportional to x and y?
Select the correct choice from the drop down.
Explain why or why not.
Type your response in the space below.
Answers
Answer/Step-by-step explanation:
Plug in the value of x in each row into the equation, y = 3.2x + 5, to find their corresponding y values respectively.
When x = 1:
y = 3.2(1) + 5
y = 3.2 + 5
y = 8.2
When x = 2:
y = 3.2(2) + 5
y = 6.4 + 5
y = 11.4
When x = 4:
y = 3.2(4) + 5
y = 12.8 + 5
y = 17.5
You have the following table:
x | y
1 | 8.2
2 | 11.4
4 | 17.5
To find out if y is proportional to x, find the ratio of y to x of each pair in the table.
x | y | ratio of y to x (y/x)
1 | 8.2 | 8.2/1 = 8.2
2 | 11.4 | 11.4/2 = 5.7
4 | 17.5 | 17.5/4 = 4.375
As you can see, here is no equal ratio. Each pair has a different ratio. Therefore, the a proportional relationship does not exist between x and y.
Write down the gradient of the line y =-4r+7.
Answers
x
+
y
=
7
or
y
=
−
4
x
+
7
Comparing withe general equation of a straight line
y
=
m
x
+
c
we get slope
m
=
−
4
.
Putting x=0 in the equation we get
y
=
7
. So y-intercept is
y
=
7
graph{4x+y=7 [-20, 20, -10, 10]} [Ans]
At 7:00 one Summer morning Harry and Hermione hopped into their speedy more motorboat and left Hogwarts dock. They arrived at Dumbledore Wharf 35 minutes later. During the busy summer months a car ferry departs from Dumbledore wharf every five minutes. Tourists crowd onto the ferry for the 55 minute ride to Hogswarts dock. If Harry and Hermione followed the route that the car ferries take, how many car ferries did they see on their trip?
Answers
9514 1404 393
Answer:
19
Step-by-step explanation:
If we assume that the car ferries start at or before 6:05, and each 5 minutes thereafter, and if we count the ferries at the dock on either end, the total number seen is the number of ferries encountered in ...
55 +35 = 90 . . . minutes
That is, it is the number already in transit when they leave, plus the number that start while they are traveling.
That's 90/5 +1* = 19 ferries.
_____
The attached diagram can give an idea. Each up-sloping line represents a ferry in-transit. The left side is Dumbledore Wharf; the right side is Hogwarts dock. Each horizontal unit represents the distance traveled by a ferry in 5 minutes. Each vertical unit represents a 5-minute interval.
The down-sloping line represents the motorboat travel. The dots at either end of the latter line represent car ferries that are at the dock, just arriving or just-departing. Altogether, there are 17 places where the lines cross, in addition to the boats at the docks.
__
* the +1 is because the number of points defining intervals is 1 more than the number of intervals.
Helpppppp!!! PLEASE
:((
Answers
Answer:
Using the vertical line test, the functions are b, c, d, and f
Step-by-step explanation:
a and e both fail the vertical line test, therefore, it's not a functions.
you just purchased new tennis shoes for basketball for $99 the cost for washing will be $2.00. you will wear them 110 times between basketball practice and games. what is the cost per wearing?
Answers
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
12. It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480
Answers
Answer:
25p+45 < 480
Step-by-step explanation:
Please help! Thank you
Answers
Answer:
-294
Step-by-step explanation:
what is 50 divided by 6. explain
Answers
Answer:
8.333333333 repeating
Step-by-step explanation:
do the equation for 50/6 and you will get 8.3333 repeating
The quotient is 50 ÷ 6 = 8 1/3, which represents 50 divided by 6 equals 8 remainders 3 or written as a mixed number, 8 1/3.
To calculate 50 divided by 6, we perform a division operation to determine how many times 6 can be evenly divided into 50.
When dividing, we start with the largest possible quotient, which is 8 in this case (as 8 * 6 = 48).
We subtract 48 from 50, resulting in a remainder of 2. Since the remainder is not zero, we need to continue the division.
Now, we bring down the next digit, which is 0, making the dividend 20. We divide 20 by 6, which gives us a quotient of 3 with no remainder.
Therefore, 50 divided by 6 equals 8 remainders 3, or written as a mixed number, 8 1/3.
The quotient represents the number of times 6 can be evenly divided into 50, and the remainder represents the amount left over.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ6
4 Rosie has 150 caramel
apples to sell. Each caramel apple is covered with one topping.
of the caramel apples are covered with peanuts.
are covered with chocolate chips.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
F
50
G 80
H 70
J 30
7.3B
Answers
Answer:
I'd say 50
Step-by-step explanation:
I just divided 150 by 3 since I only saw 3 toppings.
PLEASE HELP ME ON ALL ASAP!!!! I WILL GIVE BRAINLIEST!!!
Answers
Answer:0=16 1=23 2=30 3=37 4=44
Step-by-step explanation:
The points on a scatterplot increase rapidly. You run a linear regression on
the data. The residual plot shows a pattern, and is low.
Which of these methods would likely result in a better model of the data?
A. Run a quadratic regression on the data and then linearize the data.
B. Linearize the data by taking the log of the response variable, and
then run a linear regression.
C. Linearize the data by taking the logs of both variables, and then
run a linear regression.
D. Linearize the data by taking the log of the response variable, and
then run an exponential regression.
Answers
Answer:
B
Step-by-step explanation:
The method that would most likely result in a better model of the data is to :
Linearize the data by taking the log of the response variable, and then run a linear regression.
A linear regression can be expressed as
[tex]log(y) = \beta _{0} + \beta _{1} x[/tex]
The linear regression is applied to improve the model fitting and also helping to linearize the responses which causes an increase in the R-squared value.
Answer:
B
Step-by-step explanation:
Who makes it, has no need of it.
Who buys it, has no use for it.
Who uses it can neither see nor feel it.
What is it?
Answers
It's a coffin because the person who makes it is alive so they don't need to use it, the person who buys it is also alive and buying it for someone else.
The person who is using it has passed away so they can't see or feel anything.
:( This is one morbid riddle.
goyeggoyeceo y sit stuu try steet8eitccetiectoce58
Step-by-step explanation:
yeti et87stps tu et8 e85et 8
u0r as8tcc85e7ce5ctce5e5c8cr6
I ts its 7w496 w4y rs9rr s77
The administration at a high school wants to conduct a survey of student opinion. Administrators want to begin with a simple random sample of 100 students. Which of the following survey methods will produce a simple random sample? (4 points)
A-Survey the first 100 students to arrive at school in the morning
B-Survey every 10th student entering the school gym until 100 students are surveyed
C-Use random numbers to choose 25 each of freshmen, sophomores, juniors, and seniors Number the gym seats. Use a table of random numbers to choose seats and interview the students until 100 have been interviewed.
D- Number the students on the school roster.
E-Use a table of random numbers to choose 100 students from this roster for the survey.
Answers
Answer:
C
Step-by-step explanation:
Each year will have 25 student
Write the product using exponents.
(-4).(-4).(-4).y.y
Answers
Answer:
(-4)^3 * y^2
Step-by-step explanation:
hope it helps.
Choose the best explanation that describes in words what the numerical value of the slope tells you.
a. Every increase in coral growth of one centimeter will result in an average of 5.25 fewer degrees Celsius of sea surface temperature per year.
b. Every increase in coral growth of one centimeter will result in an average of 5.25 more degrees Celsius of sea surface temperature per year.
c. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 more centimeters of coral growth per year.
d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.
Answers
Data for the question :
Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1
Growth 0.85 0.85 0.79 0.86 0.89 0.92
Answer:
d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.
Step-by-step explanation:
Given the data :
Surface Temperature (X) : 26.7 26.6 26.6 26.5 26.3 26.1
Growth (Y) : 0.85 0.85 0.79 0.86 0.89 0.92
Using a regression calculator, we can find the model equation and extract the slope :
The regression equation obtained is :
y=5.039-0.1578x
From y = mx + c
Where m = gradient or slope
c = intercept
x and y are predictor and predicted variables respectively.
Hence, the gradient or slope (m) of the model = - 0.157. We have a negative slope, hence, increase in x will result una decrease in y.
The slope thus means: for every 1 degree increase in sea surface temperature (x), there is an average decline of about 0.1578 cm in growth per year.
1119 divided by 4 and some random stuff cause it aint long enough
Answers
Answer:
29.25 if rounded up it equals 29.3
Step-by-step explanation:
Please Assist!
What is the answer to this question???
Answers
Answer:
[tex](3.5,0.5)[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your coordinates into the midpoint formula to find midpoint:
P(5, -3)
Q(2, 4)
[tex](\frac{5+2}{2},\frac{-3+4}{2} )[/tex]
[tex](\frac{7}{2},\frac{1}{2} )[/tex]
[tex](3.5,0.5)[/tex]
Ritika bought 5 meters of cloth from the market. She cut off 2 3/4 meters and gave it to Aditi. What length of cloth is left with her?
Answers
Answer:
I think its 3/2
hope it will help you
Tony bought a new pair of soccer cleats that was originally priced at $110.00 He received a 40% discount. What is the total sale price for the cleats
Answers
Answer:
$44
Step-by-step explanation:
So this original price is 110 dollars, with a 40% discount.
1) You want to change 40% to a decimal to be able to multiply. this is 40/100=0.4
2) With that in mind you can then do 110x0.4=44
That means the new discounted price is $44.
Jasmin's dog weighs 64 pounds . Her vet told her that a healthy weight for her dog would be less than or equal to 49 pounds . Jasmin's dog can lose an average of 4 pounds every week . Write the solution to an inequality that describes all possible number of weeks for which her dog can be at a healthy weight .
Answers
Answer:
9 > 10
Step-by-step explanation:
90 = 9
100 = 10
answer = 9.10
Darin needs to know the price per pound of clementines. What needs to change in the table so that the data on clementines is in units of pounds and cost?
Answers
Answer:
the table gives the cost for the number of three pounds bag of clemintines we need to change the number of bags to pounds to get the data or clemintines in units of pounds and cost.
Answer:
The table gives the cost for the number of three-pound bags of clementines. We need to change the number of bags to pounds to get the data for the clementines in units of pounds and cost.
Step-by-step explanation:
THIS IS THE SAMPLE ANSWERSuppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,100, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let
x4 = the number of 4-cylinder connecting rods produced next week
x6 = the number of 6-cylinder connecting rods produced next week
s4 = 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise
s6 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise
Required:
Using the decision variables x4 and s4, write a constraint that sets next week.
Answers
Answer:
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is
[tex]x_4 \le W_4 * s_4[/tex]
[tex]x_4 \le 5000 * s_4[/tex]
Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is
[tex]x_6 \le W_6 * s_6[/tex]
[tex]x_6 \le 8,000 * s_6[/tex]
Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is
[tex]x_4 \le W_4 * s_6[/tex]
=> [tex]x_4 \le 5000 * s_6[/tex]
[tex]x_4 \le W_6 * s_4[/tex]
=> [tex]x_4 \le 8000 * s_4[/tex]
[tex]s_4 + s_6 = 1[/tex]
The minimum cost of production for next week is
[tex]U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]
=> [tex]U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]
Step-by-step explanation:
The cost for the four cylinder production line is [tex]C_4 = \$2,100[/tex]
The cost for the six cylinder production line is [tex]C_6 = \$3,500[/tex]
The manufacturing cost for each four cylinder is [tex]M_4= \$13[/tex]
The manufacturing cost for each six cylinder is [tex]M_6= \$16[/tex]
The weekly production capacity for 4 cylinder connecting rod is [tex]W_4 = 5,000[/tex]
The weekly production capacity for 6 cylinder connecting rod is [tex]W_6 = 8,000[/tex]
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is
[tex]x_4 \le W_4 * s_4[/tex]
[tex]x_4 \le 5000 * s_4[/tex]
Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is
[tex]x_6 \le W_6 * s_6[/tex]
[tex]x_6 \le 8,000 * s_6[/tex]
Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is
[tex]x_4 \le W_4 * s_6[/tex]
=> [tex]x_4 \le 5000 * s_6[/tex]
[tex]x_4 \le W_6 * s_4[/tex]
=> [tex]x_4 \le 8000 * s_4[/tex]
[tex]s_4 + s_6 = 1[/tex]
The minimum cost of production for next week is
[tex]U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]
=> [tex]U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]
HELPPP ASAPPP
write an equation for each line
line L(the red line)___
line p(the blue line)___
line m(the black line)___
line n(the green line)___
Answers
Answer: Line L : Y=4
Line P : X=-4
Line M : Y= -2x+4
Line N : Y= 1x-1
Step-by-step explanation:
two angles are complementary.the measure of the larger angle is two times the measure of the smaller angle .What is the measure of each angle ?
Answers
We know that :
The sum of two angles that are complementary = 90°
Smaller angle = x
Larger angle = 2x
We can make the formula as
= 2x + x = 90°
= 3x = 90°
= x = 90 ÷ 3
= x = 30
The smaller angle = x = 30°
The larger angle = 2x = 30 × 2 = 60°
Therefore , the measure of each of the angles are 30° and 60° .
find an equation for the line that passes through the point (7,1) and is perpendicular to the line x-3y+25=0
Answers
Answer:
y + 3x = - 20
Step-by-step explanation:
x - 3y + 25 = 0
- 3y = - 25 - x
3y = 25 + x
y = ( 25 + x )/3
y = ( 1/3 )x + 25/3
Y= mX+ c
m= gradient= 1/3
The perpendicular gradient should be the negative reciprocal of the gradient we have now.
which is : -1÷(1/3) = -3
Now for the perpendicular line equation, we have:
y = 1
x= 7
m= -3
y - y1 = m ( x - x1 )
y - 1 = -3 ( x + 7 )
y-1 = -3x -21
y + 3x = -20
20x+x-2=4 rational equation
Answers
Answer:
x = 2/7
Step-by-step explanation:
Step 1: Write equation
20x + x - 2 = 4
Step 2: Solve for x
Combine like terms: 21x - 2 = 4Add 2 to both sides: 21x = 6Divide both sides by 21: x = 6/21Simplify: x = 2/7Step 3: Check
Plug in x to verify it's a solution.
20(2/7) + 2/7 - 2 = 4
40/7 + 2/7 - 2 = 4
42/7 - 2 = 4
6 - 2 = 4
4 = 4
Answer:
x = 2/7
Step-by-step explanation:
Collect like terms:
20x + x = 21x ----> 21x - 2= 4
Move the constant to the right hand side and change the sign of the constant:
21x = 4 + 2
Calculate:
21x = 4 + 2 ---> 21x = 6
Divide both sides by 21:
21/21 and 6/21 = 2/7
Solution:
x = 2/7 or x= 0.285714
A line passes through the point (-2, – 7) and has a slope of 5/2
Write an equation in slope-intercept form for this line.
Answers
Answer:
y= (5/2)x+2
Step-by-step explanation:
Convert 1,152 inches into yards using fractions
Answers
Answer:
8/9 yards
Step-by-step explanation: