What is the slope-intercept form of this equation?
3x + 9y = 18
A. y = -1/3x + 6
B. y = -1/3x + 2
C. y = 1/3x + 6
D. y = 2/3x + 2
The correct answer is B. y = -1/3x + 2
Sorry if I am wrong, but I believe that this is the correct answer.
Examine the function for relative extrema and saddle points. (if an answer does not exist, enter dne.) h(x, y) = x2 − 9xy − y2
All of the following have the same unit price except _____.
2 for $5.08
5 for $12.70
1/2 for $1.27 2
2 1/2 for $6.25
Answer:
2 1/2 for $6.25
Step-by-step explanation:
Hello
the unit price is the price that you pay for a unit of product, you must find each unit price and compare
the unit price is given by
[tex]Unit\ price = \frac{amount\ paid}{number\ of\ products} \\[/tex]
Step 1
find each unit price
1).2 for $5.08
[tex]Unit\ price = \frac{amount paid}{number of products} \\Unit\ price = \frac{ 5.08}{2}\\\\Unit\ price =2.54[/tex]
unit price =2.54 $
2).5 for $12.70
[tex]Unit\ price = \frac{amount paid}{number of products} \\Unit\ price = \frac{ 12.7}{5}\\\\Unit\ price =2.54[/tex]
unit price =2.54 $
3) 1/2 for $1.27 2
[tex]Unit\ price = \frac{amount paid}{number of products} \\Unit\ price = \frac{ 1.27}{0.5}\\\\Unit\ price =2.54[/tex]
unit price =2.54 $
4) 2 1/2 for $6.25
[tex]Unit\ price = \frac{amount paid}{number of products} \\Unit\ price = \frac{ 6.25}{2.5}\\\\Unit\ price =2.5[/tex]
unit price =2.5 $
Step 2
define
Now, we can define that the unit price of 2 1/2 for $6.25 is different to the others.
2.5 ≠ 2.54
Have a great day
If you fly from Los Angeles California to Miami Florida. the plane travels a distance of 3772 km in the air. the flight takes 6 hours and 15 minutes. what is the playing the average speed?
ABC is reflected across x = 1 and y = -3. What are the coordinates of the reflection image of B after both reflections?
A. (-7, -1)
B. (-7, 1)
C. (7, 1)
D. (7, -1)
Answer:
The correct option is C
Step-by-step explanation:
From the given figure it is noticed that the coordinates of point B are (-5,-7).
If a figure is reflected across x = 1, then
[tex](x,y)\rightarrow (1-(x-1),y)[/tex]
[tex](x,y)\rightarrow (2-x,y)[/tex]
So the coordinates of B after reflection across x = 1 are
[tex](-5,-7)\rightarrow (2-(-5),-7)[/tex]
[tex](-5,-7)\rightarrow (7,-7)[/tex]
If a figure is reflected across y = -3, then
[tex](x,y)\rightarrow (x,-3-(y+3))[/tex]
[tex](x,y)\rightarrow (x,-6-y)[/tex]
So the coordinates of B after reflection across x = 1 followed by reflection across y= -3 are
[tex](7,-7)\rightarrow (7,-6-(-7))[/tex]
[tex](7,-7)\rightarrow (7,1)[/tex]
Therefore the coordinates of the reflection image of B after both reflectionsthe are (7,1) and option C is correct.
this is my home work of 8th ducking grade butch so see if you could answer it
What numbers multiply to -30 and add to -3
change the mixed number to percentage
7 7/8
Which equation represents a line with a slope of zero?
find the sale price of the item.round to two decimal places if necessary.
Original price $89.00
Markdown:33%
The sale price is $___
The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?
Answer:
y = 1/3x - 2
Step-by-step explanation:
Pin Numbers A student loan administrator distributes pin numbers to its debtors. Each pin consists of two letters followed by three numbers. (Assume repetition is allowed, and order is important.) (a) How many different pin numbers are there? (b) What is the probability a pin number selected at random ends in 000? (c) What is the probability a pin number selected at random begins with AA?
Puppies of the Dow Refer to Problems 41 and 43. (a) If five stocks from the Dogs of the Dow list are randomly selected, what is the probability all five will be Puppies of the Dow? (b) If five stocks from the Dogs of the Dow list are randomly selected, what is the probability exactly three will be Puppies of the Dow? (c) If five stocks from the Dogs of the Dow list are randomly selected, what is the probability at least two will be Puppies of the Dow?
40. Hockey There are 15 teams in the Eastern Conference of the National Hockey League for the 2009–2010 season, divided
I will just answer the problem about Pin numbers because the other questions lack other given values.
a. How many different pin numbers are there?
There are 26 letters in total and 10 numbers in total (including zero), therefore the total number of different pin numbers are:
Total possible = 26 * 26 * 10 * 10 * 10
Total possible = 676,000 different pins
b. What is the probability a pin number selected at random ends in 000
The total possible numbers with ending of 0 0 0 is:
Possible numbers = 26 * 26 * 1 * 1 *1
Possible numbers = 676
Therefore the probability is:
Probability = 676 / 676,000
Probability = 0.001 = 0.10%
c. What is the probability a pin number selected at random begins with AA?
The total possible numbers starting with A A is:
Possible numbers = 1 * 1 * 10 * 10 * 10
Possible numbers = 1000
Therefore the probability is:
Probability = 1000 / 676,000
Probability = 1.48 x 10^-3 = 0.148%
A university would like to create a circular eating area with picnic tables. the eating area will have small plants that make a path to create individual sections that form sectors. the angle formed by the plants is 0=120 degrees, and the radius is r = 9m. find the area of each sector. a. 3(pi)m(squared) b. 6(pi)m(squared) c. 27(pi)m(squared) d. 54(pi)m(squared)
Which of the following describes the zeroes of the graph of f(x) = 3x6 + 30x5 + 75x4?
Answer:
–5 with multiplicity 2 and 0 with multiplicity 4
Step-by-step explanation:
I just got it wrong on edge 2020
If $2300 is spent on vacations or travel each year, estimate how much should be set aside each month for those expenses?
a.
Approximately $200 per month should be set aside for vacation or travel expenses.
b.
Approximately $2300 per month should be set aside for vacation or travel expenses.
c.
Approximately $1250 per month should be set aside for vacation or travel expenses.
d.
Approximately $230 per month should be set aside for vacation or travel expenses.
The estimate should be set Approximately $200 per month aside for vacation or travel expenses.
What is estimation?It is a rough calculation of the value, number, quantity, etc. It doesn't use real calculation but estimation by some method like prediction, using approximation etc.
Given that $2300 is spent on vacations or travel each year.
It is known that 12 months in a year
= 2300/12
we can round 2300 to 2400 because it is an estimatation value and divide by 12
= 2400/12
= 200
Thus, an approximation of $200 each month.
The estimate should be set Approximately $200 per month aside for vacation or travel expenses.
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Find all the real square roots of 0.0625.
-0.25 and 0.25
-0.025 and 0.025
0.25
-0.025
The real square roots of 0.0625 are -0.25 and 0.25, as both of these numbers squared equal 0.0625.
Explanation:The student has asked to find all the real square roots of 0.0625. The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, we're looking for a number which, when squared, equals 0.0625.
To find this, we can recognize that the square root of 0.0625 could be thought of in fraction form as the square root of 625/10000, which simplifies to the square root of 625 divided by the square root of 10000. This reduces to 25/100 because 625 is a perfect square (25 * 25) and 10000 is also a perfect square (100 * 100). Therefore, the principal square root of 0.0625 is 0.25.
However, since every positive number has two square roots, one positive and one negative, and because the square of both -0.25 and 0.25 gives 0.0625, we conclude that the real square roots of 0.0625 are -0.25 and 0.25.
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. if the fencing costs $16 per linear foot to install and the farmer is not willing to spend more than $8000, find the dimensions for the plot that would enclose the most area.
Jessie has a piece of wood that is 8 feet long. He needs to cut pieces that are 7/8 of a foot long. How many pieces will he be able to make?
Answer:
9 full pieces.
Step-by-step explanation:
In order to solve this we have to divide the total feets of wood that Jessie has, by the size of the pieces that Jessie needs:
[tex]\frac{8}{\frac{7}{8} }\\\frac{\frac{8}{1} }{\frac{7}{8} }\\\frac{8*8}{7*1}\\\frac{64}{7} =9.14[/tex]
Since Jessie will be able to cut 9.14 pieces of wood, he will have only 9 full pieces, so the total amount of pieces that he would be able to cut will be 9.
What is the gcf of a^2b^5 and a^2b^6
At time t = 0 a car moves into the passing lane to pass a slow-moving truck. The average velocity of the car from t =1tot =1+his
v = 3(h+1)2.5 +580h−3 ave 10h
Estimate the instantaneous velocity of the car at t = 1, where time is in seconds and distance is in feet.
The correct given equation is:
v = [3 (h + 1)^2.5 + 580 h – 3] / 10 h
So to solve for the instantaneous velocity at t = 1, we must set h = 0. However we cannot do that since h is in denominator and a number divided by a denominator is infinite. Therefore we must set h to something almost zero. In this case, h = 0.0000001, so that:
at t = 1
v = [3 (0.0000001 + 1)^2.5 + 580 (0.0000001) – 3] / 10 * 0.0000001
v = 58.75 ft/s
The question is asking for the instantaneous velocity of a car at t = 1 second, which would normally be found by differentiating the position function. However, due to potential typos in the provided equation, the instantaneous velocity cannot be calculated directly.
Explanation:The problem asks for the instantaneous velocity of the car at time t = 1 second. To find the instantaneous velocity, we would typically take the derivative of the position function with respect to time. However, the given equation v = 3(h+1)2.5 + 580h - 3 ave 10h appears to have some issues, possibly due to typos, and cannot be processed as is. In general, if the average velocity function over time h was given correctly, we would evaluate the derivative of that function at h = 0 to find the instantaneous velocity at t = 1 second.
A certain product has a unit price of 9.5 cents per ounce. The product sells in bottles of 14 ounces and is priced at $1.30.
As compared to the unit price, the $1.30 price of the 14-ounce bottle _____.
is too low
is too high
is correct
can't be determined
Answer: the answer is too low i really hope this hepls
Step-by-step explanation:
What is the average speed of an object that travels 50 miles in 2 hours?
WORTH 20 POINTS
Which functions are equivalent to f(x)= 4√162? Check all that apply
A)f(x)= 162 x/4
B)f(x)=(3 4√2)x
C)f(x)=9 4√2 x
D)f(x)=162 4/x
E)f(x)=[3 (2 1/4)]x
The options that are equivalent to the given function are;
Option A
Option B
Option E
The correct options are;
A) f(x) = [tex]162^{x/4}[/tex]
B) f(x) = (3∜2[tex])^{x}[/tex]
C) f(x) = [tex]9\sqrt[4]{2^{x} }[/tex]
D) f(x) = [tex]162^{4/x}[/tex]
E) f(x) = [tex](3(2^{1/4}))^{x}[/tex]
We are given the function; f(x) = [tex](\sqrt[4]{162})^{x}[/tex]
Now, when we have something like; [tex]\sqrt[b]{2}^{a}[/tex]
This expression can also be expressed as; [tex]2^{a/b}[/tex]
Therefore our function can also be expressed as; f(x) = [tex]162^{x/4}[/tex]
Option A; This is correct because it is equal to our function gotten
Option B; f(x) = (3∜2[tex])^{x}[/tex]
From earlier, we will have; (3 × [tex]2^{1/4}[/tex][tex])^{x}[/tex]
Now, 3 can also be expressed as [tex]81^{1/4}[/tex]
Thus, we now have;
([tex]81^{1/4}[/tex] × [tex]2^{1/4}[/tex][tex])^{x}[/tex]
Factorizing out the 1/4 exponent gives;
(81 × 2[tex])^{x/4}[/tex]
⇒ = [tex]162^{x/4}[/tex]
This is same with our function and it is correct
Option C; f(x) = (9∜2[tex])^{x}[/tex]
This is similar to our equation in option B which was correct but the difference here is 9 instead of 3 and clearly this option is not correct.
Option D; f(x) = [tex]162^{4/x}[/tex]
This is not the same with our function and so it is wrong
Option E; f(x) = [tex](3(2^{1/4}))^{x}[/tex]
As seen in option B;
3 can also be expressed as [tex]81^{1/4}[/tex]
Thus, we now have;
;([tex]81^{1/4}[/tex] × [tex]2^{1/4}[/tex][tex])^{x}[/tex]
Factorizing out the 1/4 exponent gives;
(81 × 2[tex])^{x/4}[/tex]
⇒ = [tex]162^{x/4}[/tex]
This is same with our function and it is correct
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If sales tax is 5%, what is the sales tax on an item costing $65?
Inventory for a company is taken hourly from 10 to 4:00. At the start of the day, the warehouse had 65 boxes. Between 10 and 11, 7 boxes were shipped. From 11 to noon, 5 were sent, and another 9 between noon and 1 p.m.
Given the expression −10p2q + 7p3q − 5q, do the following as instructed below: A: Write the polynomial in descending order. B: Classify the polynomial by the number of terms. C: State the degree of the polynomial.
A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue)
a.9
b.4/3
c 1/4
d. 3/4
To find the probability of not drawing a blue marble from the bag, one must divide the number of non-blue marbles by the total number of marbles, resulting in a probability of 3/4
The question asks to find the probability of not drawing a blue marble from a bag that contains 8 red marbles, 3 blue marbles, and 1 green marble. The total number of marbles is 8 + 3 + 1 = 12. The probability of not drawing a blue marble (P(not blue)) is the number of marbles that are not blue divided by the total number of marbles. This is (8 red + 1 green) / 12 total marbles. Calculated, the probability is 9/12, which simplifies to 3/4
the graph of g(x) is the graph of f (x)=x+9 reflected across the y axis.
which equation describes the function g?
1. g(x)=x-9
2. g(x)=-x-9
3. g(x)=-9x+9
4. g(x)=-x+9
Answer:
4. g(x)=-x+9
Step-by-step explanation:
The correct answer is actually g(x)=-x+9. Just took the text. XD
Answer-
[tex]g(x)=-x+9[/tex]
Solution-
The given function is,
[tex]f(x)=x+9[/tex]
Given that g(x) is the reflection of f(x) over y-axis.
The reflection of the point (x, y) across the y-axis is the point (-x,y).
So, in case of reflection over y-axis the sign of only x-coordinate is changed and y-coordinate remains same.
So changing the sign of x in f(x) will yield its reflection over y-axis i.e g(x)
Therefore, g(x) is,
[tex]g(x)=-x+9[/tex]
if 8 pens and 7 pencils cost $3.37 while 5 pens and 11 pencils cost $3.10, how much does each pen and pencil cost?
Answer with Step-by-step explanation:
Let x be the cost of 1 pen and y be the cost of 1 pencil
8 pens and 7 pencils cost $3.37 while 5 pens and 11 pencils cost $3.10
8x+7y= 3.37 -----------------(1)
and 5x+11y= 3.10 -----------------(2)
equation (1)×5-equation(2)×8
5(8x+7y)-8(5x+11y)=3.37×5-3.10×8
40x+35y-40x-88y= -7.95
-53y = -7.95
y= 0.15
Putting y=0.15 in equation (1), we get
8x+7×0.15=3.37
8x+1.05=3.37
8x=2.32
x=0.29
Hence, Cost of 1 pen=$ 0.29
Cost of 1 pencil= $ 0.15
Jake is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $13 as service charges. Company B charges $28 per mattress and an additional $15 as service charges.
Part A: Write an equation to represent each company's total charges for cleaning a certain number of mattresses. For both equations (one for Company A and one for Company B), define the variable used. (4 points)
Part B: Which company would charge less for cleaning 4 mattresses? Justify your answer. (3 points)
Part C: How much money is saved by using the services of Company B instead of Company A to clean 7 mattresses? (3 points)