Answer:
0.13
0.24
Step-by-step explanation:
please mark as brainlist
Answer:
0.13
0.24
Step-by-step explanation:
Determine the inverse of the function f(x) = 3(x - 4)^2 + 5.
f(x) as given has no inverse. We see that, for instance, f(1) = f(7) = 32; that is, two different values of x give the same value of f(x), so f is not one-to-one.
We can however restrict the domain over which f is defined to extract an invertible function. One such choice would be to restrict to the interval x ≥ 4, which I'll demonstrate below.
Recall the definition of function inverse:
f(f^(-1)(x)) = x
Then for this function, we have
3 (f^(-1)(x) - 4)² + 5 = x
3 (f^(-1)(x) - 4)² = x - 5
(f^(-1)(x) - 4)² = (x - 5)/3
√((f^(-1)(x) - 4)²)= √((x - 5)/3)
For all x, √(x²) = |x|. Then √((f^(-1)(x) - 4)²) = |f^(-1)(x) - 4|, but by restricting x ≥ 4, or x - 4 ≥ 0, we have the condition that f^(-1)(x) - 4 ≥ 0, and so by definition (of the absolute value function) the absolute value reduces to the positive case. In short, we end up with
f^(-1)(x) - 4 = √((x - 5)/3)
and hence the inverse
f^(-1)(x) = √((x - 5)/3) + 4
need help, im confused
Answer:
Part A: correct
Part B: $20
Step-by-step explanation:
Part B:The amount Vanessa pays for her printer and 2 cartridges is ...
$90 +2(25) = $140
The amount Tia pays for her printer and 2 cartridges (c=2) is ...
t = 80 +20(2) = 120 . . . . dollars
Then the difference in the amounts they pay is ...
$140 -120 = $20
Hi, someone else asked this question and I know that the answer is 6, but don’t know why. Could someone explain this for me, please? If you can make me understand I’ll give you brainliest…
Answer:
6
Step-by-step explanation:
I'm not exactly sure, but since 6 is the only number missing from this pattern, wouldn't it make sense for the answer to be 6?
What is the equation of the line??
Answers:
m = -2/3
b = 1
equation: y = (-2/3)x + 1
This is the same as writing [tex]y = -\frac{2}{3}x+1[/tex]
===========================================================
Explanation:
There are a few approaches, but I like to start at the y intercept whenever it is an integer. The y intercept is where the diagonal line crosses the vertical y axis. In this case, that location is (0,1) telling us that b = 1 is the y intercept.
From that starting anchor point, we need to find a way to get to another point on this line. There are a few ways to do this, but we can move down 2 and to the right 3 units to go from (0,1) to (3,-1). This "down 2 right 3" motion directly leads to the slope of rise/run = -2/3
---------------
Alternatively, you can start at something like (-3,3) and move down 4 and move right 6 to arrive at (3,-1). Note how rise/run = -4/6 = -2/3. No matter where you start, moving along this line will involve a "down 2 right 3" movement pattern. Be sure to reduce any fractions as much as possible.
Yet another alternative is to apply the slope formula using any two points on the line. Preferably they have integer coordinates.
----------------
However you determine the slope, it's m = -2/3 after fully reducing. It along with b = 1 is plugged into y = mx+b to get y = (-2/3)x+1 as the equation of this line. It's in slope intercept form.
There are about 3 × 1020 gallons of salt water on the earth, while there are about 6 × 1018 gallons of fresh water. About how many times the amount of fresh water is the amount of salt water? 200 times the amount 500 times the amount 2 times the amount 50 times the amount
Answer C
Step-by-step explanation:
Xavier is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. Let C represent the total cost of using a computer for t minutes at the internet cafe. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.
C = ???
The slope of the function is ? which represents:
A: The total charge of using a computer
B: The number of minutes the computer was used
C: The additional charge per minute
D: The initial charge to use a computer
Answer:
C = 1/5t +6
slope: 1/5, (C) The additional charge per minute
Step-by-step explanation:
Before we can write the function, we need to know the slope of the line. Marked points are separated by 5 units horizontally (run=5) and 1 unit vertically (rise=1). The slope is ...
m = rise/run = 1/5
The initial charge is the C-intercept: 6. The function can be written in slope-intercept form as ...
C = 1/5t +6
__
As we saw above, the slope of the function is 1/5, which represents ...
the additional charge per minute
To prove that ΔDEF ≅ ΔDGF by SSS, what additional information is needed?
1. ∠DEF ≅ ∠DGF
2. ∠DFE ≅ ∠DFG
3. DE ≅ DG
4. DG ≅ GF
The additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG
Recall:
If two triangles have three pairs of congruent sides, the two triangles can be proven to be congruent triangles based on the SSS Congruence Theorem.In the figure given, ΔDEF and ΔDGF is shown to have the following two pairs of congruent sides:
EF ≅ GF
DF ≅ DF (both triangles share a common side)
We need an additional information that shows that the third sides of both triangles (DE and DG) are congruent to each other.
Therefore, the additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG
Learn more about SSS Congruence Theorem on:
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Answer:
C. DE ≅ DG
Step-by-step explanation:
Have a good day!
From the window of an airplane, you can see a farmhouse directly below. If the plane is traveling at an altitude of 9 kilometers, how far from the farmhouse will the airplane be after it has traveled 12 kilometers at the same altitude?
Answer:
Step-by-step explanation:
In the image below.
I hope I've helped you.
Use elimination to solve.
3y-6x=7
-4y-3x=9
Answer:
x = -5/3, y = -1 or [tex](-\frac{5}{3}, -1)[/tex]
Step-by-step explanation:
Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.
Equation 1: 3y - 6x = 7
Equation 2: -4y - 3x = 9
Step 1: Multiply Equation 2 by -2:
(-2)(-4y - 3x) = 9 (-2)
8y + 6x = -18
Step 2: Add "8y + 6x = -18" to Equation 1:8y + 6x = -18
+ 3y - 6x = 7
11y = -11
Step 3: Divide both sides by 11 to solve for y:[tex]\frac{11y}{11} = \frac{-11}{11}[/tex]
y = -1
Step 4: Substitute y = -1 into Equation 2 to solve for x:-4(-1) - 3x = 9
4 - 3x = 9
Step 5: Subtract 4 from both sides:4 - 4 - 3x = 9 - 4
- 3x = 5
Step 6: Divide both sides by -3 to solve for x:[tex]\frac{-3x}{-3} = \frac{5}{-3}[/tex]
[tex]x = - \frac{5}{3}[/tex]
Verify whether the values for x and y are correct by substituting their values into both equations:
x = -5/3, y = -1
Equation 1: 3y - 6x = 7
[tex]3(-1) - 6(-\frac{5}{3}) = 7[/tex]
-3 + 10 = 7
7 = 7 (True statement).
Equation 2: -4y - 3x = 9
-4(-1) - 3 (-5/3) = 9
[tex]-4(-1) - 3(-\frac{5}{3}) = 9[/tex]
4 + 5 = 9
9 = 9 (True statement).
Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.
Find the perimeter of the rectangle
= 2(2 + 3) units
= 2 × 5 units
= 10 units.
Answer:The perimeter of the rectangle is 10 units.
Hope it helps.
Do comment if you have any query.
1)cot a/2 -tan a/2 = 2 cot a
2) cot b/2 + tan b/2= 2 cosec b
prove
Which inequality is true when the value of d is 14?
−d−9>−1.5
−d−9<1.5
−d−9>1.5
d−9<−1.5
Answer:
-d - 9 < 1.5
Step-by-step explanation:
In this problem, my reasoning is shown below for each individual inequality. We can test each one to see if it is true or not.
[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?\\[/tex]
-23 is not greater than 1.5, so it can't be the first one. Let's try the next one.
[tex]-(14)-9<1.5?\\-14-9<1.5?\\-23<1.5?[/tex]
Yes! -23 is smaller than 1.5. So we can say that the second option is correct. But just for good measure, we can try the other two.
[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?[/tex]
Nope! -23 is not greater than 1.5. Let's try the last one.
[tex]14-9<-1.5?\\5<-1.5?[/tex]
And again... nope. 5 is not smaller than -1.5. So our reigning option is -d - 9 < 1.5. Hopefully this was helpful! If you have any more questions, let me know.
−d−9<1.5 inequality is true when the value of d is 14.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
We have to check the inequality which is true for d when it is 14.
−d−9>−1.5
-14-9>-1.5
-23>-1.5
The first option is false.
−d−9<1.5
-23<-1.5
So the inequality −d−9<1.5 is true for d=14.
−d−9>1.5
-23>1.5
The inequality is false.
d−9<−1.5
14-9<-1.5
5<-1.5
The inequality is false.
Hence, −d−9<1.5 inequality is true when the value of d is 14.
To learn more on Inequality click:
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Which of these angle pairs are congruent because they are corresponding
angles?
A. 2 and 4
B. 2 and 3
C. 2 and 5
D. 2 and 6
SUBMIT
Answer: it’s 2 and 6
Step-by-step explanation:
if a shirt is 50$ and is on sale for 20% off how much wil you pay with 6% sales tax
Answer:
42.4 is the correct answer to this question
3044 in a base 5 to a base 10
you found a recipe which calls for 1/2 pound of chicken per person, if 4 pounds of chicken costs $8, what is the cost per person for the recipe you are using?
9514 1404 393
Answer:
$1 per person
Step-by-step explanation:
The per-person cost (x) can be found from the proportion ...
x/(0.5 lb) = $8/(4 lb)
Multiplying by 0.5 gives ...
x = (0.5 lb) × ($8 /(4 lb)) = $1 . . . . . . units of lb cancel
The cost per person will be $1.
Jaxon's start-up business makes a profit of $500 during the first month. However, the company records a profit of -$50 per month for the next eight months and a profit of $175 for the final month. What is the total profit for the first ten months of Jaxon's business?
Answer: 275$
Step-by-step explanation:
500
-50 x 8 = -400
500 - (-400) = 100
100 + 175 = 275$
================================================================
Explanation:
The first month has a profit of +500 or simply 500.
The next 8 months have a profit of -50 per month, so we have -50*8 = -400 in profit here. A negative profit indicates debt. So far, the profit is 500 + (-400) = 500 - 400 = 100 dollars. This result is positive, so the company is in good shape so far.
It gets in better shape when adding on the final 175 profit from the tenth month. The final profit is 100+175 = 275 dollars
Sum of the Angles of a Triangle
If the three angles of a triangle
are equal, what is the
measurement of each angle?
B
C
[?] degrees
9514 1404 393
Answer:
60°
Step-by-step explanation:
If the measure of the angle is represented by A, then the sum of the three angles in the triangle is ...
A +A +A = 180°
3A = 180° . . . . . . . simplify
A = 180°/3 = 60° . . . . . divide by the coefficient of A
The three angles in an equi-angular triangle are all 60°.
__
Additional comment
If the angles are equal, so are the opposite sides. The three sides in an equi-angular triangle are also equal. Generally, such a triangle is called an equilateral triangle. It is useful to remember the angles in an equilateral triangle are all 60°.
One interesting consequence of this is that the smallest angle in any triangle can never be larger than 60°.
Show how you derived your pro forma income statement calculations and final pro forma cash flow analysis. Thus, all of your calculations should cascade to eventually solving for a final solution, which is your net present value (NPV) and Internal Rate of Return (IRR) results. Once you have the pro forma model created, please briefly describe your results and how various changes in unit volume, price, and costs can change your valuation results. This analysis includes the 20% increase and decrease in sales volumes.
Barton PC is a small-cap computer company located in Wilson NC. The company operations officer, Nancy Simpson, is also part owner in the company. Nancy started the company in the mid-90’s as a producer of small laptop computers. Over the years, laptop computer usage has slowly declined as consumers have moved to more mobile-centric devices. To capture this growing trend, Barton PC created the Barton-1 smartphone. The phone comes in just one model and has generated excellent sales. As with all modern electronics however, technology changes rapidly and the company is concerned sales will fall as new and existing competitors enter the market.
To ensure continued robust sales, Barton PC has spent $750,000 to develop a new prototype smartphone with new and enhanced features. To more fully understand the expected sales of the phone, a marketing study for $200,000 was also conducted
Nancy estimates the new phone’s variable manufacturing cost will be $205 per unit. Fixed costs for the project are estimated to run $5.1 million per year. The estimated 5-year sales volumes for the new phone are as follows: 64,000, 106,000, 87,000, 78,000 and 54,000 per year. Based on market research, Nancy feels the phone can be sold for $485 per phone. However, Nancy also finds there will be considerable upstart costs to start production. New equipment will be purchased for $34.5 million and will be depreciated on a seven-year MACRS schedule. It is believed the market value of the equipment in 5 years will be fully depreciated.
Net working capital for the phone will be 20% of sales and will occur with timing of the cash flows each year. In this case there are no startup costs for networking capital. Changes in net working capital will thus start when sales occur in year 1. The company has a 35% corporate tax rate and a required return on capital of 12%.
To ensure the phone creates value for the company, Nancy has requested a valuation analysis for the project. Specifically, she would like to see the net present value (NPV) and internal rate of return (IRR) for the phone over the 5-year expected sales. She would also like to see how these metrics change with various unit sales scenarios or 20% less and 20% more in unit volume sales.
Answer:How is pro forma income statement calculated?
Image result for Show how you derived your pro forma income statement calculations and final pro forma cash flow analysis. This, all of your calculations should cascade to eventually solving for a final solution, which is your net present value (NPV) and Internal Rate of Return (IRR) results.
How to Create A Pro Forma Income Statement
Sales (or Revenue) - Cost of Goods Sold = Gross Income (or Gross Earnings)
Gross Income (or Gross Sales/Earnings) - Operating Expenses = Operating Income.
Operating Income - Depreciation = EBIT.
EBIT - Interest Expense = EBT.
EBT – Taxes = Net Income (Net Earnings, EAT, Profits)
Step-by-step explanation:
Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.
x + y = 7
x - y = 5
Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
A. The solution is x= 6 and y = 1. (Type integers or simplified fractions.)
** i know that x=6 and Y=1. I don’t know how to graph it. It gives me a hint that the lines need to be in slope intercept form but again, I dont know how to graph! **
So the easiest way would be to change them into slope intercept form
x + y = 7
y = - x + 7
x - y = 5
y = x - 5
The coefficient of x is the slope, since none of them have a coefficient, their slopes are 1. The first line has negative x which means the slope is negative one, which you can draw from top left to bottom right and a positive slope is drawn from top right to bottom left.
The number after x is the y-intercept which is where the line intercepts the y-axis.
To draw, put a dot on the y-intercept and with a slope of one, go up and right one, or the opposite which is go down one and left one and put another dot and draw a line between the two dots. With a slope of negative one, go up one and go left one, or the opposite which is go down one and right one and draw a line between the two dots.
The Shah family uses up 1/2-gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
1 Gallon per 6 days
Step-by-step explanation:
1/2 *2 = 1
3*2 =6
Answer:
1/6 Gallons of Milk per Day
Step-by-step explanation:
1/2 / 3 = 1/6
63% to fraction
[tex] \frac{63}{?100} [/tex]
Follow the steps mentioned below to write 0.63 as a fraction.
Step 1: Determine the number of digits after the decimal point in the decimal number. Here, there are 2 digits after the decimal point.
Step 2: Remove the decimal point and write the number by the power of 10 which is equal to the number of digits after the decimal point. So, here we will divide 63 by 102
Step 3: Express the fraction in simplified form.
So, 0.63 as a fraction is,
0.63 = 63/100
1 out of 5 apple were rotten . If 284 were edible, how many apples were harvested?
Answer:
200 apple yet to go byhfhhf
(9 + 31 + 5)[(7 x 5) x 4]
Answer:
The answer to your question is (7.5.4
A definition of a statistical question is given below.
Statistical question:
Any question whose answer could involve working with more than one data value.
In each situation below, determine whether the question is a statistical question.
Answer:
I dont know
Step-by-step explanation:
x + 3 ? 3 = x what factor do I use in between 3 and 3
Answer:
1 or 3
Step-by-step explanation:
factors of 3 r 1 and 3
that's why 3 is a prime number
What is the answer for 14.05 x 7
Answer:
98.35
there that is the answer
I can use structure to decide where to place the first digit in a quotient. A strongly agree B. agree C. disagree qD. strongly disagree
Answer: For this question, it's just like a self-survey. If you understand this concept strongly or not really, you go with that answer like strongly agree, agree, etc.
Which of the following is a solution of y - x < -3?
(6, 2)
(2, 6)
(2, -1)
Answer:
2,-1
Step-by-step explanation:
(3)a train travel 252 km in 42 hours. what amount of time will it take to complete a journey of 350km. (4) calculate the cost of 15 article at $1.95 each cost. (5) if 25 article cost 43.75 how much does each cost. (6) A car travel 240km on 20 liter of petrol. how many liters of petrol is needed to travel 600km
Answer:
(3)
Distance the train can travel=252km
Distance the train can travel in 1 hour=252÷42=6km
The time needed to cover 350km= 350÷6=58.4 hours.
(4)
The cost of 1 articles=$1.95
The cost of 15 articles= 15(1.95)=$29.25
(5)
Cost of 25 articles= 43.75
Cost of 1 article= 43.75/25=1.75
(6)
Liters of petrol needed when a car travels 240km=20litre
liters of petrol needed when a car travels 600km= 20/240 x600
20/24x60
20/4x10
5x10=50liter
