Answer:
Part A: First you distribute the 6(2x-11) and simplify. Then, you get the variables on the same side by subtracting 3x. Next, you do inverse operations by adding 51 to both sides and dividing 9 from both sides
Part B: x=7
Step-by-step explanation:
First thing you should do is distribute out the 6(2x-11) to get 12x-66+15=3x+12. then you simplify to get 12x-51=3x+12. Next you need to get both variable on the same side so just to keep positive number to make it easier you will subtract 3x from both sides to get 9x-51=12. now it is simple algebra where you add 51 to both sides of the equation to get 9x=63. Finally, you divide both sides by 9 to get x=7
What is the value of this expression -3/4+(1/10 divided by 2/5)?
Step-by-step explanation:
1/10÷2/5=0.25
-3/4=-0.75
-0.75+0.25=-1
Which of the following is a solution of y - x < -3?
(6, 2)
(2, 6)
(2, -1)
Answer:
2,-1
Step-by-step explanation:
Rewrite the equation y=|x+3|-1 as two linear functions f and g with restricted domains
You can write it as:
f(x) = - x - 4
{x | x ≤ -3, x ∈ R}
f(x) = x + 2
{x | x ≥ -3, x ∈ R}
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.
if f(x)=2x^2-5 and g(x)=5x+7 g(x)=
Answer in the picture.
A function assigns the values. The value of f(g(x)) is 50x² + 140x + 93.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the value of f(x)=2x²-5 and g(x)=5x+7, therefore, the value of f(g(x)) can be written as,
f(g(x)) = 2(5x+7)²-5
f(g(x)) = 2(25x²+49+70x)-5
f(g(x)) = 50x² + 98 + 140x - 5
f(g(x)) = 50x² + 140x + 93
Hence, the value of f(g(x)) is 50x² + 140x + 93.
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Find the surface area S of the following cylinder. Enter the exact answer using π
let's notice that that cylinder has a height of 16 whilst a radius of 8, thus
[tex]\textit{surface area of a cylinder}\\ SA = 2\pi r(h+r)\qquad \begin{cases} h= \stackrel{height}{16}\\ r = \stackrel{radius}{8} \end{cases}\implies SA = 2\pi (8)(16+8) \\\\\\ SA = 16\pi (24)\implies \boxed{SA = 384\pi }[/tex]
A sweater normally costs
$50 dollars. If someone
purchases it for $30, what
percent of the total cost
was taken off of the regular
price?
Answer:
I think 40%
Step-by-step explanation:
Answer:
I think 20%. If we subtract we will get that was taken
Hello help help please help help
Answer:
[tex]8x + 6 > 38 \\ 8x > 38 - 6 \\ 8x > 32 \\ x > \frac{32}{8} \\ \color{yellow} \boxed{x > 4}[/tex]
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:
i have a question here.
Answer:
3 ways
Step-by-step explanation:
n = 3; r = 2
[tex]nC_{r}=\dfrac{n!}{r!(n-r)!}\\\\3C_{2}=\dfrac{3!}{2!1!}=\dfrac{3*2*1}{2*1}=3[/tex]
Ill give brainliest
find the coefficient of x² of (2-2x+x²)⁵
Answer:
400.
Step-by-step explanation:
(2-2x+x²)⁵
= x^10 - 10 x^9 + 50 x^8 - 160 x^7 + 360 x^6 - 592 x^5 + 720 x^4 - 640 x^3 + 400 x^2 - 160 x + 32
20 points again please help
Answer:
60°
G
mweheheh I just think
How many times larger is
9 x 104 than 4.5 x 102 ?
Answer:
477
Step-by-step explanation:
9*104=936
4.5*102=459
936-459=477
5x+3x=16
find X
Thanks
Answer:
5 + 3 = 1 6
8 = 1 6
8 = 1 6
8 /8 = 1 6 /8
= 2
Solve the inequality 2x+3 < 7
Answer:
x < 2
Step-by-step explanation:
2x + 3 < 7
2x < 4
x < 2
Answer:
x<2
Step-by-step explanation:
2x<7−3
2x<4
x<4/2
x<2
answer quick for brainiest
Answer:
a=120, b=75, c=60, d=105
To make fuel for the main engines of a space shuttle, 102,619.377 kilograms of liquid hydrogen and 616,496.4409 kilograms of liquid oxygen are mixed together in the external tank. How much fuel is
stored in the external tank?
There are kilograms of fuel stored in the external tank.
Answer:
There are 719,115.8179 KG of fuel stored in the external tank
Step-by-step explanation:
102619.377 + 616496.4409 = 719,115.8179
Simply (x-4) (x^2 + 3x - 1)
Answer:
The answer is x³ - x² - 13x + 4.
Step-by-step explanation:
I have this was helpful <3
Answer:
[tex]x^3-x^2-13x+4[/tex]
Step-by-step explanation:
Distribute
[tex](x-4)(x^2+3x-1)[/tex]
[tex]x(x^2+3x-1)-4(x^2+3x-1)[/tex]
Distribute
[tex]x(x^2+3x-1)-4(x^2+3x-1)[/tex]
[tex]x^3+3x^2-x-4(x^2+3x-1)[/tex]
Distribute
[tex]x^3+3x^2-x-4(x^2+3x-1)[/tex]
[tex]x^3+3x^2-x-4x^2-12x+4[/tex]
Combine like term
[tex]x^3+3x^2-x-4^2-12x+4[/tex]
[tex]x^3-1x^2-x-12x+4[/tex]
Combine like term
[tex]x^3-x^2-x-12x+4[/tex]
[tex]x^3-x^2-13x+4[/tex]
Solution
[tex]x^3-x^2-13x+4[/tex]
Write the ratio in simplest form. 10 seconds to 5 min
Answer:
10:5
Step-by-step explanation:
The simplest form of the ratio 10 seconds to 5 min will be;
⇒ 1 : 30
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio is,
⇒ 10 seconds to 5 minutes.
Now,
Since, The ratio of two numbers has always same units.
So, We change 5 minutes into seconds as;
Since, 1 minutes = 60 seconds
Hence, 5 minutes = 5 x 60 seconds
= 300 seconds
Thus, The ratio becomes,
⇒ 10 seconds to 300 seconds
⇒ 10 : 300
⇒ 10 / 300
⇒ 1 / 30
⇒ 1 : 30
Thus, The simplest form of the ratio 10 seconds to 5 min will be;
⇒ 1 : 30
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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.
What is the answer for 14.05 x 7
Answer:
98.35
there that is the answer
A garden has width √6 and length 3√6. What is the perimeter of the garden in simplest radical form?
Answer:
[tex]8\sqrt{6}[/tex] units
Step-by-step explanation:
Assuming the garden is in a rectangular shape:
The perimeter of a shape is the sum of all the sides, so in the case of a rectangle, this is
P=l+l+w+w=2(l)+2(w)=2(l+w)
where l is the length and w is the width. Here, you are given the length and width, so plug them in.
[tex]P=2(l+w)=2(3\sqrt{6}+\sqrt{6})=2(4\sqrt{6})=8\sqrt{6}[/tex]
Your answer is [tex]8\sqrt{6}[/tex] units.
I hope this was helpful!
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
If an item that originally cost $20 is increased to $27, what is the percentage of increase in the item?
Answer:
135%
Step-by-step explanation:
Answer:
35% increase
Step-by-step explanation:
27-20=7
7/20=0.35
3044 in a base 5 to a base 10
If the circumference is 24π what is the diameter?
ඞ copy and paste this if u want it <3
Answer:
144pi
Step-by-step explanation:
i looked it up..
Answer:
12π
Step-by-step explanation:ඞ copy and paste this if u want it <3
Write 0.00000711 in scientific notation.
Answer:
7.11 x 10^-6
Step-by-step explanation:
The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. It is 23 of what the temperature was at 1 p.m.
What was the temperature at 10 a.m. of the substance?
Enter your answer as a decimal in the box.
Please answer completely
Answer:
58.95
Step-by-step explanation:
I took the quiz using K-12, and this is what I got!
Sorry If I am late to answer!
solve the following quadratic equation by factorisation method 3 x square - 2 root 6 × + 2 =0
Please help quick will give brainly points
Answer: They are not inverse.
Step-by-step explanation:
