The function which describes this situation is,
\(\begin{gathered} f(x)=5+1(x) \\ =5+x \end{gathered}\)Thus, option (d) is correct.
ab-c/d has a value of 24. write the values if :-
1- a, b, c, d are all positive.
2- a, b, c, d are all negative.
3- a, b, c, d are mixed of negative and positive.
WRITE ANSWERS FOR 1, 2 AND 3
The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24
Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.
Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9
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What are the coordinates of the point where the x-axis and the y-axis intersect on a coordinate plane?
Answer:
They're called the x-intercept, which is where the line crosses the x-axis, and the y-intercept, which is where the line crosses the y-axis. When finding the x-axis the y coordinate needs to be 0, and when finding the y-intercept, the z coordinate must be o.
Step-by-step explanation:
HW HELP ASAP GRAPHS PLZ
Answer:
Step-by-step explanation:
Slope intercept form of a line is
y=mx+b, where m=slope and b=y intercept
m=(y2-y1)/(x2-x1) I chose points (0,3) and (4,4) from graph so
m=(4-3)/(4-0)=1/4 so now the line is
y=x/4+b, using point (4,4) we can solve for b
4=4/4+b
4=1+b
b=3 so the line is
y=x/4+3 or more neatly
y=(x+12)/4
(50 Points!) Choose ALL answers that describe the polygon.
A. Parallelogram
B. Quadrilateral
C. Rectangle
D. Rhombus
E. Square
F. Trapezoid
The required shapes that describe the polygon;
Parallelogram, Quadrilateral, Rectangle, Rhombus.
What is polygon?A polygon with four sides and four angles is called a quadrilateral. When two pairs of parallel sides are equal in length, it is a parallelogram. If all four sides are equal in length, it is a rhombus. If all four angles are equal and equal to 90 degrees, it is a rectangle. If both conditions of equal sides and equal angles are met, it is a square. A trapezoid is a quadrilateral with exactly one pair of parallel sides.
According ot question:In this case,
IJ || KL and JK || LI,
so it is a parallelogram.
Additionally,
since ZI≈ ZK and ZJ≈ ZL,
it can be concluded that the opposite sides are equal in length, making it either a rectangle or a rhombus.
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What is 3.045 as a mixed fraction
Answer:
609 /200
Step-by-step explanation:
Answer:
3 45/100
Step-by-step explanation:
ILL GIVE BRAINLIEST
Which of the following is NOT necessarily a true statement? a.x < 20
b. x<17
C. x2 + y2 = 400
D. m_ABC > mZBAC
9514 1404 393
Answer:
B. x < 17
Step-by-step explanation:
x is a leg of right triangle ADC, so must have a length less than the hypotenuse. (x < 20)
x is a leg of triangle ABC, so must have a length between 20-17 = 3 and 20+17=37. The first restriction limits x to ...
3 < x < 20 . . . . . allows x ≥ 17
The Pythagorean theorem applied to the right triangle requires ...
x^2 +y^2 = 400
Angle ABC is opposite side AC, which has length 20. Angle BAC is opposite side BC, which has length 17. The longer length of AC means that angle B will always be greater than angle A in triangle ABC.
__
The only condition that is not necessarily true is ...
x < 17
it takes an ant farm 2 days to consume 1/2 of an apple. At that rate, in how many days will the ant farm consume 2 apples?
12 days will takes the ant farm to consume 2 apples.
Given that
Number of days takes an ant farm to consume 1/2 of an apple = 2
To find number of days will the ant farm consume 2 apples is
Let us consider
Number of days taken an ant farm to consume 1 apple
= 2 * 2 = 4
Hence number of days will the ant farm will take to consume 2 apples
= 2 * 6 = 12
Hence the answer is 12 days will takes the ant farm to consume 2 apples.
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The equation 4(x − 2)=100 is a true equation for a particular value of x. Explain why 2(x − 2)=50 is also true for the same value of x.
Please type the answer not a link
Answer:
See below.
Step-by-step explanation:
4(x − 2)=100
Divide both sides by 2.
4/2 (x - 2) = 100/2
2(x - 2) = 50
Since the equation 2(x - 2) = 50 is obtained by dividing the both sides of the first equation by 2, and that is a legal operation because of the division property of equality, then the second equation is equivalent to the first equation and has the same solution.
Mr. Wilson has 30 students in his class. This is 12 more
students than Mr. Star has
How many students does Mr Star have
O A. ++30= 12
x=42 students
O B. **12=30
x= 72 students
O C. X+12=30
x=42 students
O D. x+12=30
x=18 students
Answer:
students of mr.wilson :30
students of Mr.star : 12 less than Mr.wilson
then, 30-12=18
Need help asap) Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn. ( Questions) A: Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the axis to represent the number of drinks. B: Explain your graph. ( Need Help and Will Mark Brainliest).
Answer:
\(the \: porpcon \: intercept, \: p = (0, \: 5) \\ the \: drink \: intercept, \: p = (2.5, \: 0)\)
Step-by-step explanation:
\(let \: the \: price \: of \: each \: popcorn \: be : p \\ let \: the \: price \: of \: each \:drink \: be : d \\ \\ p = 5 \\ d = \frac{5}{2} = 2.5 \\ \\ explanation : \\ the \:p - intercept \: is \: the \: point \: were \: the \: line \: crosses \: the \: p - axis. \\ the \:d - intercept \: is \: the \: point \: were \: the \: line \: crosses \: the \: d - axis. \\ \\ \\ i \: believe \: with \: these \: information \:you \: can \: plot \: clear \: graph \: \)
The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10? A graph entitle House Sales shows Number of Days on the x-axis, from 0 to 12, and Number of Houses Sold on the y-axis, from 0 to 12. A line connects 5 points. The points are (0, 0), (2, 8), (6, 6), (10, 2), (12, 4). Negative four-thirds Negative three-fourths 6 8
Answer:
-3/4
Step-by-step explanation:
Answer:
-3/4 on EDG 2020
Step-by-step explanation:
Got it Right :)
josh sells 5 cycles in 2 days. after 20 days, how many cycles should be sold?
Answer:
50 cycles
Step-by-step explanation:
To find this out, we need to know how many cycles he sells a day. So as given he sells 5 cycles in 2 days, so what is half of five? While 2.5 cycles wouldn't make sense, lets use the variable to see what our answer would be approximately.
2.5 cycles x 20 days = 50 cycles.
So, in 20 days Josh would sell 50 cycles.
Answer:
50 cycles will be sold in 20 days
Step-by-step explanation:
2 days⇒5 cycles
1 day⇒5 divided by 2 days
20 days⇒5 cycles multiplied by 20 days divided by 2 days then the final answer is 50 cycles.
Ronnie buys 2 pairs of shoes for $50. Write an equation relating the total cost y to the number of pairs of shies x
The equation z = 30x represents a(n) _____ variation.
a. direct
b. joint
c. inverse
d. combined
The equation z = 30x represents a direct variation the two variables, z and x, are directly proportional to each other. a.
Direct variation can be defined as a relationship between two variables where their values increase or decrease at the same rate.
In the case of the given equation, as x increases, z also increases proportionally.
Similarly, if x decreases, z will also decrease proportionally.
Direct variation can be represented as y = kx, where y and x are the variables, and k is the constant of variation.
In the given equation, we can see that z is the dependent variable, and x is the independent variable.
We can rewrite the equation as z = kx, where k = 30.
To understand how direct variation works, let's consider an example. Suppose we have an equation y = 5x, where y represents the cost of buying x apples at $5 per apple.
Here, the cost of buying apples is directly proportional to the number of apples purchased.
For instance, if we buy 10 apples, the total cost will be 10 × $5 = $50.
Similarly, if we buy 20 apples, the total cost will be 20 × $5 = $100.
Thus, we can see that the cost increases as the number of apples purchased increases, and vice versa.
The given equation z = 30x represents a direct variation is a type of relationship between two variables where their values increase or decrease proportionally.
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Need help fast! Please help! Thank you.
Answer:
b
Step-by-step explanation:
A garden table and a bench cost 670 combined. The garden table costs 80 less than the bench. What is the cost of the bench?
The bench costs $375, and the garden table costs $295. Together, they amount to $670, with the table being $80 cheaper than the bench.
Let the cost of the bench be x. Then the cost of the garden table is x-80. The sum of the costs of both items is $670. So we have the equation: x + (x-80) = $670.
Simplifying this, we get 2x - 80 = $670 + 80 2x = $750 x = $375. So the cost of the bench is $375. The garden table costs $375 - $80 = $295. A garden table and a bench cost $670 combined.
The garden table costs $80 less than the bench. To find the cost of the bench, we can use algebraic equations. Let the cost of the bench be x. Then, the cost of the garden table is x - 80.
The sum of both costs is $670. Using this information, we can form an equation: x + (x - 80) = $670. Simplifying, we get 2x - 80 = $670 + 80. Solving for x, we get x = $375.
Therefore, the cost of the bench is $375, and the cost of the garden table is $295.
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A train leaves the station every 12 minutes, a train leave the station every 18 minutes, at 8am a bus and a train leave the station at the same time, when is the next time the bus and train will leave at the same time
Answer: 8:36AM
Step-by-step explanation:
12 18
24 36
36
LCM or least common denominator to solve
Answer:
8 : 36 am
Step-by-step explanation:
we are trying to find:
train : 12
bus : 18
(the next time that 12 and 18 will both evenly go into a number/start at the same time will be the "lowest common multiple")
the lowest common multiple can actually be found fairly easily.
most people assume that finding the LCM (lowest common multiple) is a matter of guesswork - it's not
We can find the LCM by multiplying the absolute values of two numbers, and dividing by their GCD (greatest common divisor- the largest number that both can be evenly divided by).
12 and 18 share a GCD of 6.
So, we multiply 12 × 18 = 216
and divide by 6 216 / 6 = 36
The next time that the bus and train leave the station at the same time will be in 36 minutes--which will be 8 : 36 am.
BD is the perpendicular bisector of AC , bc =8 and ad =5 find the perimeter of abc
Jeans are normally $60. They are currently priced 20% off. What would be the final price of the jeans?
Answer:
The final price of the jeans would be $48.
Solve for x leave your answer in simplest radical form
Answer:
X=11 trust me on my mom
please i will mark you brill help me
Answer:
2n + 20
Step-by-step explanation:
Use f(x) = 4x – 2 and g(x) = 5 – x^2 to evaluate the expression.(a)(f o g)(-2)(b)(g o f)(-2)
Given the functions:
\(\begin{gathered} f(x)=4x-2 \\ g(x)=5-x^2 \end{gathered}\)We will find (f o g)(-2)
So, first, we will find the function (f o g)(x) as follows:
\(\begin{gathered} \mleft(f\circ g\mright)(x)=f\lbrack g(x)\rbrack=4(5-x^2)-2 \\ (f\circ g)(x)=20-4x^2-2 \\ (f\circ g)(x)=18-4x^2 \end{gathered}\)Now, substitute with x = -2
so,
\((f\circ g)(-2)=18-4\cdot(-2)^2=18-4\cdot4=18-16=2\)so, the answer to the part (a) (f o g)(-2) = 2
b) (g o f)(-2)
We will find (g o f)(x) as follows:
\((g\circ f)(x)=g\lbrack f(x)\rbrack=5-(4x-2)^2\)Substitute with x = -2
So,
\(\begin{gathered} (g\circ f)(-2)=5-(4\cdot-2-2)^2 \\ =5-(-8-2)^2 \\ =5-(-10)^2 \\ =5-100 \\ =-95 \end{gathered}\)So, the answer to the part (b): (g o f)(-2) = -95
rosa is driving from los Angeles's to san Francisco because of some heavy traffic ah ef cover a distance of 5 miles in 30 min.How miles does it take rosa travel in 48 min
According to the given data we have the following:
rosa cover a distance of 5 miles in 30 min
miles does it take rosa travel in 48 min?
In order to calculate the amount of miles does it take rosa travel in 48 min we would first calculate the rate per minutes of miles as follows:
If rosa cover a distance of 5 miles in 30 min, hence 5/30=0.166666667 is the rate per minutes of miles.
Therefore, the amount of miles does it take rosa travel in 48 min=48*0.166666667
amount of miles does it take rosa travel in 48 min=8 miles
It take to travel to rosa 8 miles in 48 seconds
Assumptions: Tax depreciation is straight-line over three years. Pre-tax salvage value is 25 in Year 3 and 50 if the asset is scrapped in Year 2. Tax on salvage value is 40% of the difference between salvage value and book value of the investment. The cost of capital is 20%.
Based on the given assumptions and calculations, the net present value (NPV) of the investment in the new piece of equipment is -$27,045.76, indicating that the investment is not favorable.
To calculate the after-tax cash flows for each year and evaluate the investment decision, let's use the following information:
Assumptions:
Tax depreciation is straight-line over five years.
Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4.
Tax on salvage value is 30% of the difference between salvage value and book value of the investment.
The cost of capital is 12%.
Given:
Initial investment cost = $50,000
Useful life of the equipment = 5 years
To calculate the depreciation expense each year, we divide the initial investment by the useful life:
Depreciation expense per year = Initial investment / Useful life
Depreciation expense per year = $50,000 / 5 = $10,000
Now, let's calculate the book value at the end of each year:
Year 1:
Book value = Initial investment - Depreciation expense per year
Book value \(= $50,000 - $10,000 = $40,000\)
Year 2:
Book value = Initial investment - (2 \(\times\) Depreciation expense per year)
Book value \(= $50,000 - (2 \times$10,000) = $30,000\)
Year 3:
Book value = Initial investment - (3 \(\times\) Depreciation expense per year)
Book value = $50,000 - (3 \(\times\) $10,000) = $20,000
Year 4:
Book value = Initial investment - (4 \(\times\) Depreciation expense per year)
Book value \(= $50,000 - (4 \times $10,000) = $10,000\)
Year 5:
Book value = Initial investment - (5 \(\times\) Depreciation expense per year)
Book value \(= $50,000 - (5 \times $10,000) = $0\)
Based on the assumptions, the salvage value is $10,000 in Year 5.
If the asset is scrapped in Year 4, the salvage value is $15,000.
To calculate the tax on salvage value, we need to find the difference between the salvage value and the book value and then multiply it by the tax rate:
Tax on salvage value = Tax rate \(\times\) (Salvage value - Book value)
For Year 5:
Tax on salvage value\(= 0.30 \times ($10,000 - $0) = $3,000\)
For Year 4 (if scrapped):
Tax on salvage value\(= 0.30 \times ($15,000 - $10,000) = $1,500\)
Now, let's calculate the after-tax cash flows for each year:
Year 1:
After-tax cash flow = Depreciation expense per year - Tax on salvage value
After-tax cash flow = $10,000 - $0 = $10,000
Year 2:
After-tax cash flow = Salvage value - Tax on salvage value
After-tax cash flow = $0 - $0 = $0
Year 3:
After-tax cash flow = Salvage value - Tax on salvage value
After-tax cash flow = $0 - $0 = $0
Year 4 (if scrapped):
After-tax cash flow = Salvage value - Tax on salvage value
After-tax cash flow = $15,000 - $1,500 = $13,500
Year 5:
After-tax cash flow = Salvage value - Tax on salvage value
After-tax cash flow = $10,000 - $3,000 = $7,000
Now, let's calculate the net present value (NPV) using the cost of capital of 12%.
We will discount each year's after-tax cash flow to its present value using the formula:
\(PV = CF / (1 + r)^t\)
Where:
PV = Present value
CF = Cash flow
r = Discount rate (cost of capital)
t = Time period (year)
NPV = PV Year 1 + PV Year 2 + PV Year 3 + PV Year 4 + PV Year 5 - Initial investment
Let's calculate the NPV:
PV Year 1 \(= $10,000 / (1 + 0.12)^1 = $8,928.57\)
PV Year 2 \(= $0 / (1 + 0.12)^2 = $0\)
PV Year 3 \(= $0 / (1 + 0.12)^3 = $0\)
PV Year 4 \(= $13,500 / (1 + 0.12)^4 = $9,551.28\)
PV Year 5 \(= $7,000 / (1 + 0.12)^5 = $4,474.39\)
NPV = $8,928.57 + $0 + $0 + $9,551.28 + $4,474.39 - $50,000
NPV = $22,954.24 - $50,000
NPV = -$27,045.76
The NPV is negative, which means that based on the given assumptions and cost of capital, the investment in the new piece of equipment would result in a net loss.
Therefore, the investment may not be favorable.
Please note that the calculations above are based on the given assumptions, and additional factors or considerations specific to the business should also be taken into account when making investment decisions.
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The complete question may be like :
Assumptions: Tax depreciation is straight-line over five years. Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4. Tax on salvage value is 30% of the difference between salvage value and book value of the investment. The cost of capital is 12%.
You are evaluating an investment in a new piece of equipment for your business. The initial investment cost is $50,000. The equipment is expected to have a useful life of five years.
Using the given assumptions, calculate the after-tax cash flows for each year and evaluate the investment decision by calculating the net present value (NPV) using the cost of capital of 12%.
Find the slope of the line graphed below.
The slope of the given = \(\frac{-1}{2}\)
What is the slope of a line?Determine the coordinates of two points along the line that you choose. Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates,
The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.
In the graph below ; the two points are A( -2 , 4) and B(2 , 2)
The slope thus is \(\frac{y_{2}- y_{1} }{x_{2}-x_{1} }\)
m = \(\frac{2- 4}{2 - (-2)}\)
m = \(\frac{-2}{4}\)
m = \(\frac{-1}{2}\)
Thus the slope of the given graph is \(\frac{-1}{2}\)
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Question 3
Write a rational number in fraction form that is equivalent to -1.5.
I U
А
- IX
EX X
TT TA
12pt
Para
Answer:
idkskskdididjeneje
Step-by-step explanation:
sisiisiekekekeke
Answer:
I dont know
Step-by-step explanation:
Interent
PLEASE TAKE A PIC OF YOU WORK ON A PECIE OF PAPER WITH THE AWNSER ON IT!!!! Hey! I need help with this! I’m bad at math and have a 55% in it rn it would mean a lot if you could take this seriously. Only 5 questions.
Answer:
Step-by-step explanation:
Hey if you give me your email i ca email you the aswer it wot let me link a photo lol
Use the Distributive Property to solve this problem: 2 × (15 + 9)
Answer:
248
Step-by-step explanation:
2×(15+9)=
2 × 124=
248
Answer:
15+9=24×2=48
Step-by-step explanation:
15+9=24×2=48
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT PLEASE EXPLAIN WHY YOU ARE CORRECT
HELPPPPPPP PLEASEEEEEEEEEEE
Answer:
y=-1
Step-by-step explanation:
it is a straight line graph with no gradient therefore no X value. It crosses the y axis at -1