Answers
Answer:
(a) 3 - 2x - 2x² (b) -21
Step-by-step explanation:
given, y +2x² = 3 -2x
make y the subject:
y = 3 - 2x - 2x²
if y = f(x)
then
f(x) = 3 - 2x - 2x²
(b) to find f(3) we need to replace x with 3:
3 - 2(3) - 2*(3)²
-21
Related Questions
A dance team is made up of 9 girls and 3 boys. Two of the girls and 1 of the boys are also on the debate team. What percent of the dance team is also on the debate team? Enter your answer in the box.
Answers
Answer:
25%
Step-by-step explanation:
9+3=12 dance people total
divide 3 by 12 to determine debate members over dance members
=.25 or 25%
Write each rational numbers as a decimal rounded to 4 decimal places.
43/10 = and 4 15/18 =
Answers
Answer:
Step-by-step explanation:
3
Which graph represents 12 = 3x + 4y line a, line b, line c
Answers
Answer:
green line or "b"
Step-by-step explanation:
we can set this up into the slope intercept form
y=mx+b
where m is the slope and b is y intercept
12=3x+4y
-3x -3x
-3x+12=4y
/4. /4. /4
-3/4x+3=y
we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"
hopes this helps please mark rainliest
d) Suppose you begin making a monthly payment of $75.00. Fill in the table.
Month Current balance
1
2
3
4
5
6
7
8
9
10
11
12
WYPIE
$2750.00
Interest
$45.38
Payment
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
Amount applied to principal
$29.62
Answers
Answer:
Step-by-step explanation:
Answer:
For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.
For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.
Point of view:
Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!
:)
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Content attribution
Question
A designer has a palette of 14 colors to create a flag. The flag must have 4 vertical stripes. Each stripe must be a different
color: How many possible flags can be created?
Provide your answer below:
Answers
Answer: 24,024
Step-by-step explanation
\(\frac{14!}{10!}\)
=14*13*12*11*10 /10
=14*13*12*11
=24,024 possible flags that can be created
The following units of an item were available for sale during the year:Beginning inventory 21 units at $42Sale14 units at $65First purchase18 units at $44Sale6 units at $66Second purchase 24 units at $47Sale21 units at $67The firm uses the perpetual inventory system, and there are 22 units of the item on hand atthe end of the year.a. What is the total cost of the ending inventory according to FIFO?b. What is the total cost of the ending inventory according to LIFO?
Answers
As we are only interested in the cost, we will ignore the sale price, only purchase prices.
The movements are:
1) We have an initial inventory of 21 units at $42 each.
2) Sale of 14 units, so the inventory is reduced by 14 units.
3) Purchase of 18 units at $44, so the inventory is increased by 18 units.
4) Sale of 6 units, so the inventory is reduced by 6 units.
5) Purchase of 24 units at $47.
6) Sale of 21 units.
The ending inventory after this movements is 22 units.
We can calculate the cost in a FIFO system by substracting the sold units from the group that was first purchased.
In this case, we can calculate the cost as:
1) We have 21 units at $42.
2) The first sale is of 14 units, so they have a cost of 14 units of $42 each. The stock is now: 21-14 = 7 units at $42.
3) We increase the inventory by 18 units at $44, so the stock is now: 7 units at $42 and 18 untis at $44.
4) The sale of 6 units can still be satisfied with the original inventory of 7 units at $42, so the cost is 6 units at $42 each. Now the stock is: 1 unit at $42 and 18 units at $44.
5) Purchase of 24 units at $47. So the stock is now: 1 unit at $42, 18 units at $44 and 24 units at $47.
6) Sale of 21 units. We then will take the cost of 1 unit at $42 (the last from the original inventory), 18 units at $44 and the remaining 2 units at $47.
We now can add all the cost of each unit sold as:
\(\begin{gathered} C=14\cdot42+6\cdot42+(1\cdot42+18\cdot44+2\cdot47) \\ C=588+252+(42+792+94) \\ C=1768 \end{gathered}\)The total cost according to FIFO is $1768.
Now, if we use LIFO (last in, first out) we will take the inventory from the last purchase first.
1) We have 21 units at $42.
2) The first sale is of 14 units, so they have a cost of 14 units of $42 each. The stock is now: 21-14 = 7 units at $42.
3) We increase the inventory by 18 units at $44, so the stock is now: 7 units at $42 and 18 untis at $44.
4) The sale of 6 units will be substracted from the inventory purchased at $44, so we will have a cost of 6 units at $44. The stock will now be: 7 units at $42 and 12 units at $44.
5) Purchase of 24 units at $47. So the stock is now: 7 units at $42, 12 units at $44 and 24 units at $47.
6) Sale of 21 units. We then will take the cost from the units in the last purchase: 21 units at $47.
Now we can calculate the total cost as:
\(\begin{gathered} C=14\cdot42+6\cdot44+21\cdot47 \\ C=588+264+987 \\ C=1839 \end{gathered}\)The total cost according to LIFO is $1839.
Answer:
a) The total cost according to FIFO is $1768.
b) The total cost according to LIFO is $1839.
You buy a watch that is $60. There is a 6% sales tax and a 15% discount. How much is the watch now?
Answers
Answer:
$54.06
Step-by-step explanation:
$60x0.85=51
51x1.06=$54.06
The following selected information was extracted from the records of B Solomon.
1. B Solomon, the owner of Solomon Traders, bought a new Machine for R250 000 on 1 July 2013.
2. On 1 October 2014, he purchased a second Machine for R350 000 cash.
3. On 30 June 2015, the Machine bought during 2013 was sold for R120 000 cash.
4. It is the business’ policy to depreciate Machines at 20% per annum on cost.
REQUIRED:
Prepare the following ledger accounts reflecting all applicable entries, in the books of Solomon Traders, properly balanced/closed off, for the years ended 31 March 2016:
1.1. Accumulated depreciation.
1.2. A Machines realisation.
NB: Show all calculations as marks will be awarded for calculations.
Answers
1.1. Accumulated depreciation:
The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.
1.2. Machine realization:
The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.
1.1. Accumulated Depreciation:
To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.
Machine bought on 1 July 2013:
Cost: R250,000
Depreciation rate: 20% per annum on cost
Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000
Accumulated depreciation for the machine bought on 1 July 2013:
As of 31 March 2014: R50,000
As of 31 March 2015: R100,000
As of 31 March 2016: R150,000
1.2. Machine Realisation:
To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.
Machine's original cost: R250,000
Accumulated depreciation as of 30 June 2015: R100,000
Net book value as of 30 June 2015:
R250,000 - R100,000 = R150,000.
On 30 June 2015, the machine was sold for R120,000.
Realisation amount: R120,000
To record the sale:
Debit Cash: R120,000
Debit Accumulated Depreciation: R100,000
Credit Machine: R250,000
Credit Machine Realisation: R120,000
Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).
These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.
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Help me at least for the first and third question pls thales exercise.
Answers
Answer:
Step-by-step explanation:
Its B my freind
3X is less than or equal to -5/4
Answers
Answer: x is less than or equal to -5/12
Step-by-step explanation:
it is -5/12 because to isolate x you need to divide both sides by 3
Before 1918, approximately 55% of the wolves in a region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 65% of wolves in the region are male, and 35% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.)(a) Before 1918, in a random sample of 9 wolves spotted in the region, what is the probability that 6 or more were male? What is the probability that 6 or more were female? What is the probability that fewer than 3 were female?(b) For the period from 1918 to the present, in a random sample of 9 wolves spotted in the region, what is the probability that6 or more were male? What is the probability that 6 or more were female? What is the probability that fewer than 3 were female?
Answers
Answer:
Are you being timed??
Step-by-step explanation:
9x-(3x-3)=21
Solve the equation. Select the correct choice below and if necessary, fill in the answer box to complete your choice. The solution set is (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) The solution is all real numbers. The solution is the empty set.
Answers
Help if you have any idea what the answers are
Answers
The firm maximizes its profit where MR equals MC and here at quantity 9, MR equals MC.
How to solveA. 9 unit.
The firm maximizes its profit where MR equals MC and here at quantity 9, MR equals MC.
B. 7.25
In perfect competition, the price is equal to MR. Because firms are price takers. So the price will be 30.
Profit per unit =Price - ATC
=30-22.75
=7.25
C. 65.25
Profit =(Price - ATC) *quantity
=(30-22.75)*9
=65.25
A market having perfect competition involves buyers and sellers exerting no significant impact on product pricing. Such markets are composed of numerous parties possessing alike items, with easy ingress and egress from the same domain.
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A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
20.4 days
22.5 days
25.6 days
30.1 days
Answers
Let's assume that B can do the job alone in x days.
Then, according to the question, A can do the same job alone in (1/3)x days.
Also, we know that A takes 60 days less than B to finish the job, so:
(1/3)x = x - 60
Solving for x, we get:
x = 90
Therefore, B can do the job alone in 90 days and A can do the same job alone in (1/3) * 90 = 30 days.
To find out how long they take to finish the job together, we use the formula:
(AB)/ (A+B)
where AB is the product of their individual times and A+B is their combined time.
Plugging in the values, we get:
(30 * 90)/(30+90) = 22.5
Therefore, working together, they can finish the job in 22.5 days.
Answer: Option B - 22.5 days
There is a box of 45 markers. Of the markers, 20 are black and the rest are red. What fraction of the
total marbles is red? Write your answer in simplest form.
Answers
Answer:
5/9 of the marbles are red
Step-by-step explanation:
Of the 45 marbles, 20 are black, and the other 25 are red. So 25/45, or 5/9, of the marbles are red.
Need help with geometry
Answers
Answer: 45
Add x and 3x to get 4x. A line is equal to 180 degrees, so 180/4x which will get you 45.
The following table shows the amount of money his friend Carl earns for different numbers of hours worked. How much money does Carl earn per hour? Show your work. You will not receive full credit for a correct answer without showing any work.
Draw a line on the graph below to show Carl’s earnings over time in hours. The following things must be done: plot the points, draw the line, label each axis, title the graph.
Answers
The equation of the graph that represent Carl’s earnings over time in hours is given by: y = 15x
The equation of a straight line is given by;
y = mx + b;
where y, x are variables, m is the slope of the graph and b is the y intercept.
Given the points from the table, we can determine the equation of the line graph using any two points. Let y represent the money earned and x represent the time. Hence, using points (3, 45) and (10, 150):
\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-45=\frac{75-45}{5-2}(x-3)\\\\y-45=15(x-3)\\\\y = 15x\)
The graph was plotted using geogebra online graphing tool.
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if 50% is 30 what is 100%
Answers
Answer: its 60.......
Which of the equations below could be the equation of this parabola?
OA y--¹x²
OB. x--²
C. x-²
D. y - x²
10
(0,0)
Vertex
10
Answers
An equation that could be the equation of this parabola include the following: C. x = 1/12(y²).
How to determine the equation of a parabola?In Mathematics, the standard equation of the directrix lines for any parabola that opens to the right is represented by this mathematical expression:
x = a(y - k)² + h.
Where:
h and k represent the vertex.a represent the leading coefficient.By critically observing the graph which models the equation of this parabola, we can logically deduce that the vertex is at point (0, 0) and as such, we have the following:
h = 0
k = 0
a = positive.
x = a(y - k)² + h.
x = a(y - 0)² + 0.
x = ay²
Therefore, a possible equation is x = 1/12(y²).
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A shoe manufacturer claims that among the general adult population in the United States that the length of the left foot is longer than the length of the right foot. To compare the average length of the left foot with that of the right foot, we will take a random sample of adults and measure the length of the left foot and then the length of the right foot. Based on our sample, does the data indicate that the length of the left foot is greater than the length of the right foot? Is the hypothesis one-tailed or two-tailed?
Answers
We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.
How to test the data indicate that the length of the left foot is greater than the length of the right foot?A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.
This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.
A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).
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The product of two numbers is 30 if one of the numbers is six over 11 what is the other number
Answers
x=6/11
6/11y=30
Divide by 6/11 on both sides
y=55
whats the equation of a line that passes through point (-1,3) with slope of 1
Answers
The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.
Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:
y - 3 = 1(x - (-1))
Simplifying:
y - 3 = x + 1
Now, we can rewrite the equation in the standard form:
y = x + 4
Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
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Using a standard deck of cards, a gamer drew one card and recorded its value. They continued this for a total of 100 draws. The table shows the frequency of each card drawn.
Card A 2 3 4 5 6 7 8 9 10 JQK
Frequency 4 7 5 6 7 6 8 10 7 10 8 12 10
Based on the table, what is the experimental probability that the card selected was a K or 6?
Answers
The experimental probability that the card selected was a K or 6 is 17/100 or 0.17.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that it is certain. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In other words, it is the ratio of the number of desired outcomes to the total number of outcomes.
The frequency of card 6 is 7 and the frequency of card K is 12. However, the card K is also counted in the total count for JQK, so we need to subtract 2 from the frequency of K to get the actual count of K.
Actual count of K = 12 - 2 = 10
Total count of 6 and K = 7 + 10 = 17
The experimental probability of drawing a K or 6 is the frequency of drawing K or 6 divided by the total number of draws:
Experimental probability = (frequency of K or 6) / (total number of draws)
Experimental probability = 17 / 100
Therefore, the experimental probability that the card selected was a K or 6 is 17/100 or 0.17.
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What is the surface area of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
The radius is 10mm and the height is 5mm
Answers
Answer:
942 square millimeters.
Step-by-step explanation:
The formula for the surface area of a cylinder is:
S = 2πr^2 + 2πrh
where S is the surface area, r is the radius, and h is the height.
Substituting the given values, we get:
S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5
S = 628 + 314
S = 942
Therefore, the surface area of the cylinder is 942 square millimeters.
I am lost please help thank you all
Answers
Answer:
Step-by-step explanation:
At least 9 means more than 9 and includes 9
x ≥ 9 and [9, +∞)
At most 9 means numbers less than 9
x≤9 and (-∞, 9]
more than 9 means bigger than 9 but not including 9
x > 9 and (9, +∞)
fewer than 9 means less than 9 but not including 9
x<9 and (-∞, 9)
strictly between 7 and 9 means between 7 and 9 but not including
7<x<9 and (7,9) (This is the only one I'm unsure of. Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)
between 7 and 7 inclusive. means it's just =7 There's no boundaries
x=7
no more than 7 means less than 7 and includes 7
x ≤ 7 and (-∞, 7]
Send help please help :D
Answers
Answer:
A) Slope =
\(m = \frac{1}{4} x\)
explanation:
Take 2 random points off the line, I used (4,1) & (8,2)
The formula to find the slope when given 2 points is
\(m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} \)
so in this case x1 & y1 are assigned to (4,1)
4 = x11 = y1and x2 & y2 are assigned to (8,2)
8 = x22 = y2so substitute the numbers into the formula and solve !
\( m= \frac{y2 - y1}{x2 - x1} = \frac{2 - 1}{8 - 4} = \frac{1}{4} \)
this will result in the answer I got above!!
B) yes it does show a constant rate of change cause it's increasing in 1/4x intervals
C) just because you move the placement of a line on the graph doesn't mean it's going to effect the slope as long as the numbers on the axis don't change!!
To investigate whether standing up while studying affects performance in an algebra class, a teacher assigns half of the 30 students in his class to stand up while studying and assigns the other half to not stand up while studying. To determine who receives which treatment, the teacher identifies the two students who did best on the last exam and randomly assigns one to stand and one not to stand. The teacher does the same for the next two highest-scoring students and continues in this manner until each student is assigned a treatment. Which of the following best describes this plan?
Answers
A teacher randomly assigns half of 30 students to stand while studying and half to not stand. The students are assigned based on their previous exam performance.
The teacher is conducting a randomized controlled experiment to investigate the effect of standing up while studying on performance in an algebra class. The class has 30 students and they are divided into two groups, one group standing while studying and the other group not standing. The assignment of the treatments is done by randomly selecting the highest-scoring students from the last exam and alternating between standing and not standing. This plan is an example of a simple random assignment, which helps to ensure that both groups are similar in terms of their abilities and reduces the possibility of confounding variables affecting the results.
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Simplify the expression:
1x+10y=4+3
Answers
Answer:
Simplify the expression:
1x+10y=4+3
Step-by-step explanation:
1 : x+10y=4+3
x+10y=4+3
x+10y=7
x+10y-10y=7-10y
x=7-10y
hope it helps
Answer:
x=7-10y
Step-by-step explanation:
Add the numbers with no variables:
4+3=7
1 and x are the same so the 1 cancels out u get x and since your solving for x you would put x=:
Since you got rid of the would you have to swap the equations around:
x=7-10y
Given that a+b = 10 and a square - b square = 40 find the value of a-b
Answers
Answer:
the value of a - b is 4.
Step-by-step explanation:
We have been given the following two equations:
a + b = 10 ------------(1)
a² - b² = 40 -------(2)
We can factor the left-hand side of equation (2) using the difference of squares identity:
(a + b)(a - b) = 40
Substituting equation (1) into this equation, we get:
10(a - b) = 40
Dividing both sides by 10, we get:
a - b = 4
Therefore, the value of a - b is 4.
Step-by-step explanation:
if I understand this correctly :
a + b = 10
a² - b² = 40
(a² - b²) = (a + b)(a - b) = 40
10(a - b) = 40
(a - b) = 4
Which transformations could be performed to show that
AABC is similar to AA"B"C"?
10
8
B
4
VX
2
A
-10 -3 -6 -4 -21 14
B"
4
8 10
X
O a reflection over the x-axis, then a dilation by a scale
factor of 3
O a reflection over the x-axis, then a dilation by a scale
factor of
O a 180° rotation about the origin, then a dilation by a
scale factor of 3
O a 180° rotation about the origin, then a dilation by a
scale factor of
6
8
-10
Save and Exit
Next
Submit
Mark this and return
Answers
Triangle ABC was rotated 180° about the origin, then a by a scale factor of 1/3 was done to form triangle A'B'C'.
What is mean by Transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Given that;
Triangle ABC is similar to A"B"C".
Now, If a point A(x, y) is rotated clockwise by 180 degrees, the new point is at A'(y, -x)
Hence, Triangle ABC was rotated 180° about the origin, then a by a scale factor of 1/3 was done to form triangle A'B'C'.
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