Write the equation for a line in slope intercept form that is parallel to the line 2x + 3y = 6 and passes through the point (0, 4).
Answers
Answer:
Let us find the slope of the line : x+ 4y = 6
we can write it as 4y = -x +6
y = -(1/4) x + ( 6/4)
slope of the line y= mx + b is m
so here slope = m = -1/4
because we have to find a paraller line so the slope for required line would be same : -1/4
equation of the line having slope m and passing through x1 y1 is :
Y= m( X-x1) + y1
let's plug m= -1/4 x1= -8 and y1 = 5
Y= (-1/4) ( X- -8) + 5
Y= ( -1/4) ( x+8) + 5
Y= (-1/4)( X ) + (-1/4)( 8) + 5
Y= (-1/4) x + 3
Let us now work on second part :
given line is : 2x- 3y = 12
let's write it -3y = -2x +12
y= (-2/-3) x + ( 12/ -3)
Y= ( 2/3) x - 4
slope of this line is 2/3
the required line is perpendicular to it
so the slope of required line = negative resiprocal of this slope =
(-1/ slope of this line ) = -1/( 2/3) = -3/2
Equation of line with slope m= -3/2 and passing through x1= 2 and y1 = 6 is :
Y= m( X-x1) + y1
Y= ( -3/2) ( X- 2) + 6
Y= (-3/2) X - 2(-3/2) + 6
Y= ( -3/2 ) X + 9
Answer : for part 1 : Y= ( 2/3) x - 4
Answer for part 2 : Y= ( -3/2 ) X + 9
Step-by-step explanation:
Related Questions
The cost before tax for an order of CDs from Music & More store was $214.60. If the store ordered 20 equally priced CDs, and the total shipping and handling fee was $15.00, what was the cost of one CD?
Answers
Answer:
14.31
just divide $214.60 and 15.00.
Step-by-step explanation:
hector received three a's and one b in his college courses. what is his grade point average?assume each course is three credits. a
Answers
The grade point average received by hector is 3.75.
What is GPA?Your grade point average (GPA) is calculated by dividing the total number of credits you have earned in high school by the sum of all of your course grades. The majority of colleges and secondary schools use a 4.0 scale to report grades. A perfect score, or an A, is a 4.0.
The unit value for each course in which a student obtains one of the grades mentioned above is multiplied by the grade point total for that grade to determine the GPA. Then, divide the sum of these products by the sum of the units. The cumulative GPA is calculated by dividing the total grade points by the total number of units.
3 a and one is B received by Hector.
The A = 4.0, B = 3.0, C = 2.0, D = 1.0 is given by college
We have GPA= A+A+A+B/4
GPA=4+4+4+3/4
GPA= 15/4
GPA=3.75
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Complete question
Hector Ramirez received three A's and one B in his college courses. What is his grade point average? Assume each course is three credits. A = 4.0, B = 3.0, C = 2.0, D = 1.0
Type the correct answer in the box.
Answers
Step-by-step explanation:
4 triangles bh/2=area
2 x 2/2 = 2
2 x 4triangles = 8 units
two rectangles bh=area
2 x 6 = 12
12 x 2rectangles = 24 units
last rectangle is bh
6 x 8 = 48 untis
24+48+8=80 units
What is the yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons if this bond is currently trading for a price of $884?
5.02%
6.23%
6.82%
12.46%
G
5.20%
Answers
The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct
Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.
The formula for calculating YTM is as follows:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
Where:
C = Interest payment
F = Face value
P = Market price
n = Number of coupon payments
Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.
First, let's calculate the semi-annual coupon payment:
Semi-annual coupon rate = 5.2% / 2 = 2.6%
Face value = $1000
Market price = $884
Number of years remaining until maturity = 10 years
Number of semi-annual coupon payments = 2 x 10 = 20
Semi-annual coupon payment = Semi-annual coupon rate x Face value
Semi-annual coupon payment = 2.6% x $1000 = $26
Now, we can calculate the yield to maturity using the formula:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100
YTM = 6.23%
Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.
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Frank runs each lap in 4 minutes. He will run at most 24 minutes today. What are the possible numbers of laps he will run today?
Answers
Answer:
At most he can run 6 laps
Step-by-step explanation:
24/4=6
Answer:
6 laps
Step-by-step explanation:
24 / 4 = 6 laps
Write the perfect root less than and the perfect root greater than the root given. What is the value of the perfect roots?
Answers
From the given picture, we can note that
\(3=\sqrt[]{9}<\sqrt[]{12}<\sqrt[]{25}=5\)Similarly,
\(10=\sqrt[]{100}<\sqrt[]{193}<\sqrt[]{144}=12\)In the same way, we have
\(7=\sqrt[]{49}<\sqrt[]{50}<\sqrt[]{121}=11\)and finally,
\(9=\sqrt[]{81}<\sqrt[]{93}<\sqrt[]{100}=10\)Someone who wants to go camping in the spring starts to pack his backpack and this camper must pack three items: food, first-aid kits, and clothes. The backpack has a capacity of 9 ft 3. Each unit of food takes 2ft 3 . A first-aid kit occupies 1ft 3 , and each piece of cloth takes about 3ftt 3 . The hiker assigns the benefit of the items as 7, 5 , and 6 to food, first aid, and clothes, respectively, which means that foods are the most valuable of the three items. From experience, the hiker must take at least one unit of each item. How many of each item should the camper take?
Answers
The camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing within the given constraints.
To determine the optimal number of each item the camper should take, we need to maximize the total benefit while considering the capacity constraint of the backpack.
Let's assume the camper takes x units of food, y first-aid kits, and z pieces of clothing.
The backpack has a capacity of 9 ft^3, and each unit of food takes up 2 ft^3. Therefore, the constraint for food is 2x ≤ 9, which simplifies to x ≤ 4.5. Since x must be a whole number and the camper needs at least one unit of food, the camper can take a maximum of 3 units of food.
Similarly, for first-aid kits, since each kit occupies 1 ft^3 and the camper must take at least one, the constraint is y ≥ 1.
For clothing, each piece takes 3 ft^3, and the constraint is z ≤ (9 - 2x - y)/3.
Now, we need to maximize the total benefit. The benefit of food is assigned as 7, first aid as 5, and clothing as 6. The objective function is 7x + 5y + 6z.
Considering all the constraints, the possible combinations are:
- (x, y, z) = (3, 1, 0) with a total benefit of 7(3) + 5(1) + 6(0) = 26.
- (x, y, z) = (3, 1, 1) with a total benefit of 7(3) + 5(1) + 6(1) = 32.
- (x, y, z) = (4, 1, 0) with a total benefit of 7(4) + 5(1) + 6(0) = 39.
- (x, y, z) = (4, 1, 1) with a total benefit of 7(4) + 5(1) + 6(1) = 45.
Among these combinations, the highest total benefit is achieved when the camper takes 3 units of food, 1 first-aid kit, and 1 piece of clothing.
Therefore, the camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing to maximize the total benefit within the given constraints.
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2 apples cost 2 dabloons.
How much does 1 apple cost
Answers
A recipe for 1 batch of cookies calls for 1 cups of flour. How many cups of flour are needed
for 3 batches?
4 cups
3 cups
6 cups
4 cups
Dans
Answers
Answer:
3 Cups of flour
Step-by-step explanation:
1 batch of cookies = 1 cup of flour
2 batch of cookies = 2 cups of flour
3 batch of cookies = 3 cup of flour
I hope i helped you :)
What is the exponential regression equation to best fit the data where the y values were rounded to the nearest integer.
A. Y=2. 17(2. 96)x
B. Y=2. 1(2. 05)x
C. Y=2(2. 95)x
D. Y=3(1. 05)x
Answers
Answer:
A
Step-by-step explanation:
Bulldogs PitBulls Dogs the answer is A
Find the sum of
-3/7 and its opposite
Answers
I am between 8 o clock in the morning and 3:00 in the afternoon .My number of minutes is odd i am more than half an hour away from the next o clock i am closer to 5pm than to 5am what time am i ?
Answers
Answer:
1:00 PM
Step-by-step explanation:
According to the conditions given in the question, i confirm that the time time asked here is 1:00 PM.
at 1:00 PM, its 5 minutes (odd), clearly, more than half an hour away from the next o clock. It is closer to 5 PM than 5 AM.
In the diagram shown at the right, ABCD is a parallelogram and BF = 16. Find the area of ABCD. Explain your reasoning. (Hint: Draw auxiliary lines through point A and through point D that are parallel to EH.)
Answers
The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.
We know,
A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.
we have,
∠DEC ≅ ∠BFC Reason = All Right Angles with Equal dimensions are congruent.
∠C ≅ ∠C Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.
Δ DEC ≅ Δ BFC Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.
≅ Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.
ABCD is a Rhombus Reason = Its sides are all congruent.
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complete question:
Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus
1 + 2 x 3-4x 5 + 6 - 7 + 8 x 9 + 10=
Sorry I am really bad at vodkas and stuff please help!
Answers
Answer:
68
Step-by-step explanation:
Answer:
ok this question contains many operations we have addition sign subtraction sign and multiplication sign so in this case we use bodmas and in the bodmas we see multiplication coming fast so the first two letters that have the multiplication sign between them should be multiplied so in this case put a bracket between those two numbers so that you have it like this oneplus (2 x 3)-(4*5) + 6 - 7 plus (8 * 9 )+ 10 so we multiply the numbers in the brackets so that our equation comes to 1 + 6 - 20 + 6 - 7 + 72 + 10 then we rearrange so that you have 1 + 6 plus 6 + 72 + 10 - 20 - 7 1 + 6 + 6 + 72 + 10 is 95 - 20 -7 and your final answer is 68
3) let’s say katie’s bike cost $100. a) if timothy’s bike is 20% the cost of katie’s, what does his bike cost?
Answers
a) Timothy's bike costs $20.It's important to note that the given percentage value represents a proportion or fraction of the original cost, allowing us to calculate the specific cost
To find the cost of Timothy's bike, we need to calculate 20% of Katie's bike cost.
20% of $100 can be calculated by multiplying $100 by 0.20:
20% * $100 = $20.
Therefore, Timothy's bike costs $20.
To calculate 20% of $100, we multiply $100 by the decimal equivalent of 20%, which is 0.20:
20% * $100 = 0.20 * $100 = $20.
In this scenario, Timothy's bike is priced at 20% of Katie's bike cost. This means that Timothy's bike is relatively less expensive compared to Katie's bike. It's important to note that the given percentage value represents a proportion or fraction of the original cost, allowing us to calculate the specific cost of Timothy's bike based on the given percentage relationship.
Based on the given information, Timothy's bike costs $20, which is 20% of Katie's bike cost.
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Solve -2(2x + 5) - 3 = -3(x - 1)
Answers
Answer:
x = -16
Step-by-step explanation:
Answer: X = -16
Step-by-step explanation:
1. -2(2x + 5) - 3 = -3(x - 1)
2. -4x-10-3=-3x+3
3. -13=x+3
4. x=-16
check: -2(-16*2+5)-3=-3(-16-1)
51=51
7 th grade ixl helppppppppppp
Answers
Answer:
Question 1= EFC and GFH
Question 2=60
I'm not sure but I think its right!
Pls let me know
Also pls mark me brailiest
What is 2p²+6p-72 factored?
Answers
Answer:
(x+12)(x-6)
Step-by-step explanation:
when factoring an equation like this you want to find two numbers that multiply to make the third digit, and add to make the middle one.
12-6=6
12x-6=-72
A number line going from negative 10 to positive 10. Use the number line to help you answer the question. Which statements are true? Check all that apply. –4 < –8 |–4| < |–8| |–5| > 1 –5 > |1| |–2| = |2|
Answers
Answer:
2. |-4| < |-8|
3. |-5| > 1
5. |-2| = |2|
Answer:
2,3,5 are correct
Step-by-step explanation:
i took the test
Last night, Julie’s pet hamster Zoe kept Julie awake for at least an hour running on her exercise wheel and scratching at the corner of her cage. Zoe ran on the wheel at least twice as long as she scratched at the quarters of her cage, and she spent more than 1/4 hour rubbing on her wheel.
Which System of inequalities represents the time Zoe kept Julie awake last night if X is the number of hours that she spent running on her wheel and y is the number of hours spent scratching at her cage?
Answers
Answer:
\(x+y\geq 1\)
\(x\geq 2y\)
\(x\geq \frac{1}{4}\)
Step-by-step explanation:
In order to solve this problem, we just need to translate mathematically what the problem is talking about. First, we know that:
x=# of hours she spent running on her wheel.
y = # of hourse she spent scratching at her cage.
So, let's split the problem into little chunks of information that will be easier to translate. This is split it into sentences.
So first:
Julie's pet hamster Zoe kept Julie awake for at least an hour running on her exercise wheel and scratching at the corner of her cage. This means that the least amount of time Julie was awake as an hour in total, so this can be written as an inequality like this:
time spent running + time spent scratching is less than or equal to 1 hour
\(x+y\geq 1\)
next,
Zoe ran on the wheel at least twice as long as she scratched at the quarters of her cage.
This is:
\(x\geq 2y\)
and finally, she spent more than 1/4 of an hour running on her wheel.
\(x\geq \frac{1}{4}\)
so the system of inequalities is the following:
\(x+y\geq 1\)
\(x\geq 2y\)
\(x\geq \frac{1}{4}\)
A time-series study of the demand for higher education, using tuition charges as a price variable, yields the following result: (dq/dp) x (p/q) = -0.4
where p is tuition and q is the quantity of higher education. Which of the following is suggested by the result?
(A) As tuition rises, students want to buy a greater quantity of education. (B) As a determinant of the demand for higher education, income is more important than price.
(C) If colleges lowered tuition slightly, their total tuition receipts would increase.
(D) If colleges raised tuition slightly, their total tuition receipts would increase.
(E) Colleges cannot increase enrollments by offering larger scholarships.
Answers
the result is (D) If colleges raised tuition slightly, their total tuition receipts would increase.
The formula (dq/dp) x (p/q) = -0.4 is the elasticity of demand equation for higher education. It shows that the percentage change in quantity demanded (dq/q) due to a percentage change in tuition (dp/p) is negative and equal to -0.4. This means that as tuition increases, the quantity of higher education demanded decreases, but the extent of the decrease is relatively small.
Therefore, if colleges raised tuition slightly, the decrease in quantity demanded would be offset by the increase in tuition charged, leading to an increase in total tuition receipts. This is the suggested conclusion based on the given result.
Option (A) is incorrect because the negative sign in the elasticity equation implies that as tuition rises, the quantity demanded decreases, not increases. Option (B) is not relevant to the given result since the elasticity equation only considers the relationship between tuition and quantity demanded. Option (C) is not supported by the elasticity equation since it does not take into account the decrease in quantity demanded that would result from a decrease in tuition. Option (E) is not related to the given result either.
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This is midpoint please help.
Answers
Step-by-step explanation:
\(thank \: you\)
Answer:
(1, 13)
Step-by-step explanation:
it is above in the photo.
If x° and 50° form a linear pair, find xº
Answers
Answer: 130°
Step-by-step explanation:
Concept to know:
Linear pair: two angles that forms one line
One line: 180°
-------------------------------------------------------------
x+50=linear pair
x+50=180
x=130°
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Write a real-world problem that can be solved using the equation 9+4x=21−2x.
Answers
1. you have to subtract 9 from both sides. 21-9= 12
2. you have to add 2x to both sides. 4x+2x= 6x
3. 6x divided by both sides =
4.x=2
Solve the following expression when b = 12 10 + b/6 + b
Answers
Answer:
24
Step-by-step explanation:
Given that b = 12,
10 + 12/6 + 12
= 10 + 2 + 12
= 24
Answer:
24
Step-by-step explanation:
10+(12/6)+12 = 24 use brackets and divide first before adding
Match the pairs of equivalent expressions.Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If there are t tables, c chairs, and s stools, which expressions show the total number of furniture legs in aisle 2?
4t + 4c + 3s
4t + 4c + 4s
4(t + c) + 3s
4(t + c + s)
t + c + s
t + c + 3s
Answers
Expressions show the total number of furniture legs in aisle 2 is 4t + 4c +3s and 4(t + c) +3s .
Total number of legs chair in aisle 2 is = 4
Total number of legs table in aisle 2 is = 4
Total number of legs stool in aisle 2 is = 3
Table in aisle is defined as t
Chairs in aisle is defined as c
Stools in aisle is defined as s
Expression form will be = 4t + 4c + 3s
By taking 4 common
Expression can be written as = 4(t +c) + 3s .
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Suppose a curve is traced by the parametric equations x=2(sin(t)+cos(t)) y=25−8cos2(t)−16sin(t) as t runs from 0 to π. At what point (x,y) on this curve is the tangent line horizontal?
Answers
Answer:
completamente respuesta
Each of the 7 cats in a pet store was weighed. Here are their weights (inpounds):16, 11, 6, 9, 15, 13, 11Find the mean and median weights of these cats.If necessary, round your answers to the nearest tenth.
Answers
The mean weight of the cats is the sum of the weights divided by the number of cats:
\(\begin{gathered} \mu=\frac{16+11+6+9+15+13+11}{7} \\ =\frac{81}{7} \end{gathered}\)Use a calculator to get the mean rounded to the nearest tenth:
A marina charges $175 for materials and $15 per foot to paint the bottom of a boat. It cost $595 to paint a boat. What is the length of the boat?
Answers
Answer:
Y=35+15x
Step-by-step explanation:
i know this because since they didnt know how many hours she worked 15 would be the 15x. and 35 would just be the up front fee that had to be paid
An isoline that connects all points of highest mean temperature on a world map is called Group of answer choices the thermal equator. the temperature range line. the highest mean temperature isoline. an isobar.
Answers
An isoline that connects all points of highest mean temperature on a world map is called the highest mean temperature isoline.
An isoline is a line on a map that connects points of equal value for a particular variable. In this case, the isoline connects all points of the highest mean temperature, indicating regions with the highest average temperatures.
Therefore, it is referred to as the "highest mean temperature isoline." The other options mentioned are not specifically related to the concept described.
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