The equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1) is y - 1 = 3/2(x+3)
What is point slope form?One of the most popular ways to represent a linear equation is in point-slope form, which has the following structure:
y - y1 = m(x - x1) (x - x1),
where (x1, y1) is a point on the line, m is the slope, and x and y are variables that denote further points along the line. When one point on the line and the slope are known, the point-slope form can be employed. Given that at least one point and the slope of the line are known, it is helpful for locating further points on a line.
According to the given values;
Equation of a line in point-slope form
The equation of a line in point-slope form is expressed as:
y-y0 = m(x-x0)
where:
m is the slope
(x0,y0) is the point on the line
The slope of the given line is as shown:
Slope = 2-(-4)/2-(-2)
Slope = 2+4/2+2
Slope = 6/4 = 3/2
Substitute the slope and the point
y - 1 = 3/2(x-(-3))
y - 1 = 3/2(x+3)
Hence the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1) is y - 1 = 3/2(x+3)
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Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 45 inches. Is the result close to the actual weight of "333" pounds? Use a significance level of 0.05.
The regression equation is y = 11.9799 + (-246.4420)x.
The chest size (x) is the independent variable.
Now,
X Y XY X² Y²
47 282 13254 2209 79542
61 495 30195 3721 245025
51 371 18921 2601 137641
47 349 16403 2209 121801
54 421 22734 2916 177241
56 389 21784 3136 151321
Table for the sum,
n 6
sum(XY) 123291.00
sum(X) 316.00
sum(Y) 2307.00
sum(X²) 16792
sum(Y²) 912553
Numerator 10734
Denominator 11711.10
r 0.9166
r² 0.8401
Xbar(mean) 52.6667
Ybar(mean) 384.5
b 11.9799
a -246.4420
Now,
b = [ ∑XY - (∑X)(∑Y) ] / [ n∑ X² - ( ∑X )² ]
Therefore,
b = 11.9799
a = [ ∑Y - b ∑x ] / n
a = - 246.4420
So, the regression equation is:
y = 11.9799 + (-246.4420)x
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A company that replicates DVDs spends $1500 per day in building overhead
plus $0.80 per DVD in supplies and labor. If the DVDs sell for $1.59 per disk, how
many DVDs must the company sell each day before it makes a profit?
The company must sell 1899 DVDs each day to make a profit.
An owner's income from a successful manufacturing process producing goods for the market is referred to as a profit (business).
The owner's primary interest in the process of creating income through market production is represented by profit, which is an indicator for profitability. Different profit metrics are frequently used.Income generation and distribution must always be in balance in order for income to be produced in the market. Throughout the assessment period, the earned money is consistently dispersed as economic value to the production's stakeholders. The portion of the income formation that remains for the owner to keep after the income distribution process is known as the profit.The cost for supplies is $0.80 per DVD.
Let the company manufactured and sold x DVD s.
Now , total cost for x DVDs = 0.80 x + 1500
Total sell price for x DVDs = 1.59x
Profit = Sell price - cost price
Profit = 1.59x - 0.80x - 1500
profit = 0.79 x - 1500
Now the profit is made. Therefore profit>0
∴ 0.79 x - 1500 > 0
or , x > 1500 ÷ 0.79
or, x > 1898.734
Hence the company need to sell 1899 DVDs to make a profit.
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who travels the fastest explain why If two people answer and I see who is correct I will mark them brainlest
Answer: The jellyfish is faster
5,6 and 10 have a common multiple of 30 so make the denominator 30.
JF ->3/5=18/30
1/6=5/30
WR->5/6=25/30
3/10=9/30
9h-> 25 miles
1h->2.8 miles
5h->18 miles
1h->3.6 miles
The product of the ages of Sally
and Joey now is 175 more than
the product of their ages 5 years
prior. If Sally is 20 years older
than Joey, what are their current
ages?
The product of the ages of
Current age of Sally is 25
Current age of Joey is 5
Let age of Sally 5 years prior be x
age of Joey 5 years prior be y
Now the age of Sally is x+5
Now the age of Joey is y+5
product of the ages of Sally and Joey now is 175 more than the product of their ages 5 years prior.
(x+5)(y+5)=175+xy
x y + 5x +5y +25 = 175 + x y
5x+5y = 175-25 = 150
x+ y = 30 .. .. ..1
Sally is 20 years older than Joey
x=20+y
Substitute x=20+y in .. . 1
20+y + y = 30
2y=10
y=5
x=20+y=20+5=25
Current age of Sally is 25
Current age of Joey is 5
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A rolld of wool insulation is 114cm wide and 5.2m long. one roll costs £19.65. estimate the cost of the wool insulation required for a loft floor that is 4.5m by 10m
The cost of the wool insulation required for the loft floor is £149.16498
How to estimate the cost of the wool insulation required for the loft floor?The given parameters are
Roll of wool = 114 cm by 5.2 m
One roll = £19.65 per roll
The area of one roll is calculated as
Area = Length * Width
So, we have
Area = 114 cm x 5.2 m
Convert cm to m
Area = 1.14 m x 5.2 m
Evaluate the product
Area = 5.928 m^2
The cost of the required area of loft floor is
Total cost = Unit cost/Area of 1 roll x Area of floor
This gives
Total cost = £19.65/5.928 * 4.5 * 10
Evaluate the product
Total cost = £149.16498
Hence, the cost of the wool insulation required for the loft floor is £149.16498
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5. Consider the statement “There are no simple solutions to life’s problems”. Write an informal negation for the statement, and then write the statement formally using quantifiers and variables.
The informal negation for the statement is that there are simple solutions to life’s problems.
∀ x ∈ X, x is not a solution to life's problems.
How to illustrate the information?A statement is any sentence that can be determined as true or false. A statement can be written as P(x) or Q(x) .
A negation to a statement is the opposite to that statement.
The negation of “There are no simple solutions to life’s problems” is “There are simple solutions to life’s problems.”
To write the statement formally using quantifiers.
1. For all, denotes as ∀
2. There exists, denoted as ∃
Let us define a domain and a Set. A Set is simply a collection of objects.
Let X be the set of all simple solutions to all problems.
∀ x ∈ X, x is not a solution to life's problems.
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what affect does a outlier have on a mean
Answer: An outlier can affect the mean by being unusually small or unusually large
Step-by-step explanation: Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.
(a) Determine the net change between the given values of the variable
(b) Determine the average rate of change between the given values of the variable
Part (a)
[tex]f(3)=5-3(3)^2=-22 \\ \\ f(3+h)=5-3(3+h)^2 \\ \\ =5-3(h^2 +6h+9) \\ \\ =5-3h^2 -18h-27 \\ \\ =-3h^2-18h-22 \\ \\ f(3+h)-f(3)=(-3h^2-18h-22)-(-22)=\boxed{3h^2 +18h}[/tex]
Part (b)
[tex]\frac{f(3+h)-f(3)}{(3+h)-3} \\ \\ =\frac{-3h^2-18h}{h} \\ \\ =\boxed{-3h-18}[/tex]
6 in. 5 in. 4 in. 1 in. 2 in. 3 in. 5 in. 4 in. what is the volume
Answer:
Step-by-step explanation:
Do 6 +5=11+4=15+1+2+18+3=21+5=26+4=30 theres ur answer:D
I<3hotmkms
I didn’t know what to put so heres the thing
Answer:
2b) x < - 3
2e) x < 3 or x < -3
Step-by-step explanation:
Format for quadratic equations (the only difference in quadratic equations is that the equal sign is replaced with any of the inequality symbols (< , > , ≥ , and ≤)
ax² + bx + c = 0
- To factor quadratic inequalities (we're using 2b) as a demonstration)
1) Find two numbers that make the product equal to a×c (1×9) which is 9 and the sum that equals to b which is 6. Those two numbers in this case is positive 3 and positive 3
2) Spilt the middle term with those two numbers which are positive 3 and positive 3 so the inequality x² + 6x + 9 is going to become x² + 3x + 3x + 9
3) Take the common terms and simplify the common terms in this case the common terms are x and + 3 so it can be factored as (x + 3) and (x + 3)
To find each x make each term greater than 0 so it would be x + 3 < 0 and x + 3 < 0
4) Solve for x (it is the same way to solve x in inequalities as it were for equations which is doing inverse operations to order to islolate x) It would be x + 3 - 3 < 0 - 3 which is x < - 3
2e)
1) You essentially do the same steps for solving this question too but a shortcut way of doing factoring is to do the perfect square method which is to look a c which is 9 and if its a perfect squares you can factor it as (x+3) and (x-3) since not only is the 9 negative both of these terms when added cancel out each other.
2)To find x make everything < 0 so it would be x + 3 < 0 and x - 3 < 0
3) Solve for x it would be x + 3 - 3 < 0 - 3 and x - 3 + 3 < 0 + 3 . The roots are x < - 3 or x < 3
I hope this helps :)
Determine ratio of A to B. Round as indicated.
A = 18 and B = 3 (Do not round.)
Select one:
a. 1|2
b. 6
с. 1/6
d. 2
Crystal has 25 lollipops. Angie has 12 more lollipops than Crystal.
How many lollipops do the girls have all together?
Answer:
Both the girls have 62 lollipops
Step-by-step explanation:
25+25=50
50+12=62
Answer:
62 lollipops
Step-by-step explanation:
If Angie has 12 more lollipops than Crystal...
25 + 12 = 37 lollipops
Angie has 37 lollipops and Crystal has 25 lollipops. In total, that is...
37 + 25 = 62 lollipops
Find the value of the power.
89⁰
Answer: 1
Step-by-step explanation:
Anything to the power of zero is one
Answer:
0.999847695
Step-by-step explanation:
1 for short ig :^
A country with a population of 2.1 million experiences 4310 fatalities as a result of a virus. What is the fatality rate per 100,000?
The fatality rate per 100,000 is 205.23.
In mathematics, a rate of something is simply the ratio between two related quantities which are expressed different units. While expressing the units of any rate, the word "per" is used to distinguish the units of the two measurements used to calculate the rate.
Here, we are given that a country has a population of 2.1 million.
2.1 million can be written as- 2,100,000
The number of fatalities experienced by the country = 4,310
This means that there where 4,310 fatalities per 2.1 million of the population.
The number of fatalities per 100,000 will be given as-
4,310/ 2,100,000 × 100,000
expanding it further we get-
4,310/ 21
= 205.23
Thus, the fatality rate per 100,000 is 205.23.
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What is the equation of the linear function in slope-intercept form described by this table?
f(x)= _____x + __________
The equation of line in slope intercept form described from given table will be equal to y = -2x + 1
What is the slope intercept form of a line ?
The equation of a line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.
From the given figure we can find out that the points are (x1.y1) = (-2 , 5) and (x2 , y2) = ( -1 , 3).
The equation of line in slope intercept form
y = mx + c
Where m is the slope, and c is the y-intercept.
We have points (-2, 5) and (-1,3). Thus , the slope (m) will be :
m = ( [tex]y_{2} - y_{1}[/tex] ) /( [tex]x_{2} - x_{1}[/tex] )
m = ( 3 - 5 ) / ( -1 + 2)
m = -2
Using this value to find out the equation of line we get :
y = -2x + c
Point (-2,5) means that when x = -2 then y = 5 , and we use this data to find value of c , which is the y- intercept ;
5 = -2 × -2 + c
c = 5 - 4
c = 1
So , in slope intercept form the equation of line will be ;
y = -2x + 1
Therefore , the equation of line in slope intercept form will be y = -2x + 1.
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in the following figure what is the value of y in terms of x?
a. x + 80
b. 80 - x
c. x + 100
d. x - 100
f. 100 - x
A cargo truck is traveling 70 miles per hour and plans to travel 840 miles, plus or minus 105 miles, depending on fuel levels. Fnd the minimum and maximum number of hours the truck will travel at that speed.
The minimum is 10.5 hours and the maximum is not 12.2 hours.
The minimum and a maximum number of hours the truck will travel at that speed are 10.5 and 13.5 hours respectively.
What is velocity?Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.
Average velocity = total distance / total time taken
Units of velocity are given by ⇒ meter/second
Speed of truck = 70 miles/hour
Maximum distance = 840 + 105 = 945 miles.
Minimum distance = 840 - 105 = 735 miles.
Now,
Time = distance / velocity
Minimum time = minimum distance / velocity
So,
Minimum time = 735 / 70 = 10.5 hour.
Maximum time = maximum distance / velocity.
Maximum time = 945 / 70 = 13.5 hour.
Hence "The minimum and a maximum number of hours the truck will travel at that speed are 10.5 and 13.5 hours respectively".
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Need help with this question. Dropped a picture down below.
The statements that complete the figure parameters are
CEH and HEB are complementary angles and CEH = 70 degreesAEH and HEB are supplementary angles and AEH = 160 degreesHow to complete the sentences?The given parameters are:
Angle HEB = 20 degrees
From the figure, we can see that
Line CE is perpendicular to line AB
This means that
HEB + CEH = 90 degrees ---- complementary angles
HEB + AEH = 180 degrees ---- supplementary angles
So, we have
20 + CEH = 90 degrees
20 + AEH = 180 degrees
Evaluate
CEH = 70 degrees
AEH = 160 degrees
Hence, the complete statements are
CEH and HEB are complementary angles and CEH = 70 degrees
AEH and HEB are supplementary angles and AEH = 160 degrees
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6x = 468/19 Please help! Show all work please!
Answer:
[tex] \sf \: x= \frac{78}{19} (Decimal: 4.105263)[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
6x=468/19
Step 1: Divide both sides by 6.
6x/6=468/19/6
x=78/19 (Decimal: 4.105263)
Cadence baked 45 cupcakes on Tuesday. This was 3 more than twice the number of cupcakes she baked on Monday. How many cupcakes did Cadence bake on Monday?
Please give an explanation/step-by-step process on how to solve this. Do not just answer and take points or you will get reported.
Thank you :)
Alyssa works as a sales representative in an electronics store. She earns a fixed daily wage plus a commission on the sales she makes. The table shows her earnings based on the amount of sales she makes in a day.
Total Sales ($) Daily Earnings ($)
0 80
200 110
500 155
800 200
1,200 260
The equation that gives Alyssa's daily earnings based on her total sales is .
When this data is plotted on a graph with a line connecting all the points, the y-intercept of the line represents and the slope of the equation represents .
In this scenario, the y-intercept is .
The slope of the line relating Alyssa's sales to earnings is given by 0.15,the equation that gives Alyssa's daily earnings based on her total sales is y = 0.15x +80,the y-intercept of the line represents the part of Alyssa's earnings that doesn't depend on sales. It is Alyssa's fixed daily wage and the y-intercept is 80.
What is slope intercept form of line?The slope intercept form of a line is y=mx+c, where m is the slope of line.
a) The slope of the line relating Alyssa's sales to earnings is given by
slope = (change in earnings)/(change in sales)
Using the first two table entries, the slope is calculated as
slope = (110 -80)/(200 -10) = 30/200 = 0.15
The first entry in the table shows the y-intercept, the value of earnings (80) for zero sales. The slope-intercept form of the equation for a line is
y = slope*x + y-intercept
To answer the first question, we put the slope and intercept values in the appropriate spots in the equation.
The equation that gives Alyssa's daily earnings based on her total sales is y = 0.15x +80
b) The y-intercept of the line represents the part of Alyssa's earnings that doesn't depend on sales. It is Alyssa's fixed daily wage.
c) The slope of the equation represents Alyssa's commission rate.
d) The y-intercept is 80.
Therefore The slope of the line relating Alyssa's sales to earnings is given by 0.15,the equation that gives Alyssa's daily earnings based on her total sales is y = 0.15x +80,the y-intercept of the line represents the part of Alyssa's earnings that doesn't depend on sales. It is Alyssa's fixed daily wage and the y-intercept is 80.
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Customer in Event 4 returned $4,200 worth of goods that had a cost of $2,150 .
The discussion is shown below:
What is data?In computing, data is information that has been translated into a form that is efficient for movement or processing.
According to the data
Transaction Cost
Event 1 NA
Event 2 Product
Event 3 Product
Event 4 Product
Event 5 Period
Event 6 Product
Event 7 NA
Event 8 NA
Event 9 Period
Event 10 Period
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The question you have uploaded is incomplete.
The complete question is:
5.Award: 1.00 point Problems? Adjust credit for all students. The Pet Store experienced the following events for the Year 1 accounting period:
1. Acquired $60,000 cash from the issue of common stock.
2. Purchased $65,000 of inventory on account.
3. Received goods purchased in Event 2 FOB shipping point; freight cost of $900 paid in cash.
4. Sold inventory on account that cost $38,000 for $71,000.
5. Freight cost on the goods sold in Event 4 was $620. The goods were shipped FOB destination. Cash was paid for the freight cost.
6. Customer in Event 4 returned $4,200 worth of goods that had a cost of $2,150.
7. Collected $58,300 cash from accounts receivable.
8. Paid $59,200 cash on accounts payable.
9. Paid $2,600 for advertising expense.
10. Paid $3,100 cash for insurance expense.
Requireda. Which of these events affect period (selling and administrative) costs? Which result in product costs? If neither, label the transaction NA.
John and Sam have a lawn mowing service. At one home, John can mow the lawn by himself in 2 hours, but it takes Sam 2.5 hours. How many hours twill it take them to mow the same lawn
together? Give the answer correct to one decimal place.
Answer:
3/5 hours or 36 minutes
Step-by-step explanation:
John could mow three of these lawns in three hours (3/1 = three), while Sam could only mow two in three hours (3/1.5 = two). Therefore, the two of them could cut 5 lawns in 3 hours (3+2). Together, they can cut the same lawn in three and a half hours, or 36 minutes.
guys what is 100+5617538...
Answer:
5617638
Step-by-step explanation:
You can use a calculator or just change the second 5 in the number to 6 because we are adding 100.
Answer: 5617638
Step-by-step explanation:
100+5617538=
5617538+100=
5617000+538+100=
5617000+638=5617638
can someone please tell me the answers of these
Answer:
8. 47°F
9. -20°C
10. 29,513ft
Step-by-step explanation:
8.
92°F - 45°F = 47°F
The Equator is 47°F warmer than the South Pole.
9.
-4°C × 5 = -20°C
The coldest day on record in Felix's town is -20°C
10.
29,028 - (-485)
29,028 + 485 = 29,513 feet.
The difference between Mt. Everest and the Dead Sea is 29,513 feet.
I hope this helps!
Please answer correctly, my grade depends on it also i'd help if you asnwer my other questions but only if you want to.
The domain are the independent variables for which an expression or equation exists. The domain of the graph in interval notation will be [-9,7]
Domain of a graph.The domain are the independent variables for which an expression or equation exists.
The given graph is described as a piecewise function since there are several lines that make up the graph.
The domain of the function are the value that lies along the x-axis of the line graph while the range are values of the function along the y-axis of the line graph.
The domain of the graph in interval notation will be [-9,7]. Note that both brackets are closed since the circles are shaded.
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The price of an item has been reduced by $2.89.the new sale price is $80.05. What was the original price
Answer: 82.94
Step-by-step explanation:
Math
Under his cell phone plan, Mason pays a flat cost of $51.50 per month and $4 per gigabyte, or part of a gigabyte. (For example, if he used 2.3 gigabytes, he would have to pay for 3 whole gigabytes.) He wants to keep his bill under $65 per month. What is the maximum whole number of gigabytes of data he can use while staying within his budget?
The maximum whole number of gigabytes of data he can use while staying within his budget is 3 gigabytes
What is straight-line equation?
The straight-line equation which comprises of the fixed charge that Mason would have to pay for data usage every month and the variable charge which is based on the number of gigabytes used is as shown below:
y=a+bx
y=total cos65
a=fixed charge=51.50
b=cost per gigabyte=4
x=number of gigabytes he has to use to stay within his budget=unknown
65=51.50+4x
65-51.50=4x
13.5=4x
x=13.5/4
x=3.38( 3 gigabytes so as not to pay for 4 gigabytes)
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solve the quadratic equation 3×2-16+5=0
Answer:
3×2-16+5=0
-5=0
Step-by-step explanation:
Step-by-step explanation:
(3)(2)−16+5=0
−5=0
The sum of 3 times a number and -8 added to 7 times the number
Answer:
(3x+-8) + 7x
Pls mark brainliest