Answers
[tex]f(x)=\frac{1}{9}x-2\\ take:\\x=f(x)^{-1}\\\\f(x)=X\\\\X=\frac{1}{9}f(x)^{-1}-2\\\\(X+2)9 =f(x)^{-1} \\\\f(x)^{-1}=9X+18\\[/tex]
Answer:
22
Step-by-step explanation:
ftrrrrgd fff fftttr fddd
Related Questions
How many cups of chocolate would Linda need for 2 cups of cream
Answers
How would you solve this problem??
Answers
Answer:
x = 14000
Step-by-step explanation:
Function representing the cost to the company,
C(x) = -27x² + 51000x + 20433
Function defining the revenue generated,
R(x) = -36x²+ 303000x
Since, Profit to the company = Revenue - Cost
= R(x) - C(x)
P(x) = -36x² + 303000x - (-27x² + 51000x + 20433)
= -36x² + 27x² + 303000x - 51000x - 20433
P(x) = -9x² + 252000x - 20433
To maximize the profit,
P'(x) = -18x + 252000 [Derivative of the function P(x)]
P'(x) = 0
-18x + 252000 = 0
18x = 252000
x = 14000
Therefore, for the maximum profit company has to produce and sell 14000 phones.
chung minh phan so sau toi gian : 21n+4/14n+3
Answers
Step-by-step explanation:
Cog, KY tj, kyzkysiyso6doydi6wkyx co70 kysu5, 5i
1. Identify the following numbers as rational or irrational.
a. -15.4
b. 27/5
c. 0.99999....
d. V
Answers
b. 27/5 is a rational number.
c. 0.99999… is an irrational number.
d. √7 is an irrational number.
Please help!!
The slope of a line that passes through the points (-6, w) and (-10, 4) ls 1/8. What is the
value of w?
Answers
Answer:
[tex]\displaystyle w=\frac{9}{2}=4.5[/tex]
Step-by-step explanation:
We can use slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So:
[tex]\displaystyle m=\frac{4-w}{-10-(-6)}=\frac{4-w}{-10+6}=\frac{4-w}{-4}[/tex]
We are given that this equals 1/8. Therefore:
[tex]\displaystyle \frac{4-w}{-4}=\frac{1}{8}[/tex]
Solve for w. Cross-multiply:
[tex]-4(1)=8(4-w)[/tex]
Distribute:
[tex]-4=32-8w[/tex]
Isolate:
[tex]-8w=-36[/tex]
So:
[tex]\displaystyle w=\frac{-36}{-8}=\frac{9}{2}=4.5[/tex]
complete each division sentence using the models provided
Answers
Answer:
honestly for division of fractions the only sentence you need to know is...
"mine is not to question why, but to invert and multiply"...
fractional division can be done with "an inverse multiplication:
5/6 ÷ 1/6 can be changed to 5/6 * 6/1 = 30/6 = 5
3/5 ÷1/10 can be changed to 3/5 * 10/1 = 30/5 = 6
Step-by-step explanation:
The sides of a triangle are 4, 7, and 10. The triangle is dilated by a scale factor of 3 to create a
new triangle. Find the perimeter of the new triangle.
A
21 units
B
63 units
30 units
D
25 units
Answers
Answer:
B 63 units
Step-by-step explanation:
Dilatation is an increase of shape , a larger imagine , the dilatation is 3 so times each side by three and add them all up
how do you find the area of a rectangle
Answers
Answer:
You multiply length by width.
Step-by-step explanation:
To find the area of a rectangle you multiply length and width together.
For example if a rectangle has length 2 and width 3 the area of the rectangle would be 6, since 2 * 3 is 6.
Answer:area =length x width
Step-by-step explanation:
-BRAINLIEST IF ANSWERED RIGHT-
Given the equation
5+x−12=x−7:
Part A. Solve the equation
5+x−12=x−7. In your final answer, be sure to state the solution and include all of your work.
Part B. Use the values
x=−4,0,5 to verify your solution to the equation
5+x−12=x−7.
In your final answer, include all of your calculations.
Answers
Answer:
Part A:
[tex]x\in \mathbb{R}[/tex] ([tex]x[/tex] is equal to all real numbers)
Part B:
[tex]5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark[/tex]
Step-by-step explanation:
Part A:
Given [tex]5+x-12=x-7[/tex], combine like terms:
[tex]x-7=x-7[/tex]
Add 7 to both sides:
[tex]x=x[/tex]
Since this is merely a true statement for all real numbers (reflexive property), this equation is true for any real value of [tex]x[/tex].
Therefore,
[tex]x\in \mathbb{R}[/tex] ([tex]x[/tex] is equal to all real numbers).
Part B:
Using arbitrary values [tex]x=-4, x=0, x=5[/tex] as requested in part B, verify:
[tex]5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark[/tex]
Find the value of x.
42°
(5x + 2)
Answers
Answer:
x=8
Step-by-step explanation:
assuming this is what you mean:
(5x+2)=42
try to
isolate the variable by subtracting 2 from both sides
5x=40
continue to isolate the variable
divide by 5 on both sides
5x/5=40/5
x=8
Line A (y=4x+2) is transformed into Line B (y=x+5). Which best describes the new slope and y-intercept?
Answers
Answer:
The new slope is 1 and the line is shifted flatter.
Step-by-step explanation:
Line A slope is 4.
Line B slope is 1.
The y-intercept rose up 3
As far as slope, it became flatter because the line only rises 1 'square' for every 1 'square' it travels to the right. It was rising 4 'squares' for every 1 to the right.
For EASY BRAINLIEST!!!
Answer 6. 7. 8. 9. !!
Please help I’m going to fail!
Answers
Answer:
Step-by-step explanation: 6 29 7 42
6) a number x increased by -18
x + (-18)
or x - 18
7) x subtracted from its reciprocal
1/x - x
8) two numbers have the sum of 11, one number is q find the other
x + q = 11
x + q - q = 11 - q q - q = 0
x + 0 = 11 - q
x = 11 - q
9) six is added to 4 times a number equals 42, find the number
( I don't know the six steps discussed in class. This is how I would do it)
6 + 4x = 42
6 - 6 + 4x = 42 - 6 isolate the variable, - 6 from both sides
0 + 4x = 36 6 - 6 = 0, 43 - 6 = 36, solve for x
4x/4 = 36/4 divide both sides by 4
1x = 36 /4 4/4 = 1
x = 9
Find the equation of the line that passes through (–3, 2) and the intersection of the lines x–2y=0 and 3x+y+5=0.
I need the intersection point of the lines and the equation of the line.
Answers
Answer:
[tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0
Step-by-step explanation:
the intersection of x-2y=0 and 3x+y+5 is ([tex]\frac{-10}{7}[/tex];[tex]\frac{-5}{7}[/tex])
=> the line : [tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0
Answer:
[tex]Point \ of \ intersection = (\frac{-10}{7} , \frac{-5}{7})\\\\Equation \ of \ line : y = -\frac{19}{11}x - \frac{35}{11}[/tex]
Step-by-step explanation:
Find intersection of the given lines :
x - 2y = 0 => x = 2y ----------- ( 1 )
3x + y = - 5 -------------------- ( 2 )
Substitute ( 1 ) in ( 2 ) :
3x + y = - 5
3 ( 2y ) + y = - 5
6y + y = - 5
7y = - 5
[tex]y = -\frac{5}{7}[/tex]
Substitute y in ( 1 ) :
x = 2y
[tex]x = 2 \times \frac{-5}{7} = - \frac{10}{7}[/tex]
[tex]Therefore , \ point \ of \ intersection\ is ( -\frac{10}{7}, -\frac{5}{7} )[/tex]
To find the equation of the line passing through ( - 3, 2) and point of intersection :
Standard equation of a line : y = mx + b , where m is the slope, b is the y intercept.
So step 1 : Find slope , m:
[tex]slope, m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] [tex][ \ where \ (x_1, y_ 1 ) = ( -3, 2 ) \ and \ (x_2, y_ 2 ) = ( \frac{-10}{7} , \frac{-5}{7}) \ ][/tex]
[tex]= \frac{\frac{-5}{7}-(2)}{\frac{-10}{7} - (-3)}\\\\= \frac{-5- 14}{-10 + 21}\\\\=\frac{-19}{11}\\\\=-\frac{19}{11}[/tex]
Step 2 : Equation of the line :
[tex](y - y _1) = m (x - x_1)\\[/tex]
[tex](y - 2 ) = -\frac{19}{11}(x -( -3))\\\\(y - 2 ) = -\frac{19}{11} (x+ 3)\\\\y = -\frac{19}{11} (x+ 3) + 2\\\\ y = -\frac{19}{11}x +(-\frac{19}{11} \times 3) + 2\\\\y= - \frac{19}[11}x +(\frac{-57}{11} + 2)\\\\y= - \frac{19}{11}x +(\frac{-57+ 22}{11})\\\\y= - \frac{19}{11}x +(\frac{-35}{11})\\\\[/tex]
Which of the following best describes the term postulate?
A. A statement that is not officially defined but that is understood to be common sense
B. A precise statement of the qualities of an idea, object, or process
C. A logical arrangement of deductions that leads to the conclusion that a statement is always true
D. A statement that is assumed to be true without proof
Answers
Answer:
D. A statement that is assumed to be true without proof
Step-by-step explanation:
How to do long division
Answers
Answer:
if you wanna do long division you have to simply just follow a procedure that is nice and easy so long division method is mainly need to find the square of a number with out using the prime factorization method the procedure is consisting of these of two steps
Obtain the number whose square root is to be computedplace bars every pair of digits starting with the unit digits .Also place a bar on one digit if any not forming a on the extreme left. each pair and the remaining one digit (if any) on the extreme left is called a period think of the largest number whose square is less than or equal to the first period . if this number as the divisor and the quotient put the question above the period and write the product of divisor and question just below the first period.subtract the product of divisor and quotient from the first period and bring down the next point to the right of the remainder this becomes the next dividend.double the question as it appears and enter It to the blank on the right for the next digits, as the next possible divisor.think of a digit to fill the blank in step 6 in such a way that the product of new divisor and its digit is equal to or just less than the new dividend obtained in the step 5 .subtract the product of the digits chosen in steps 7 and the new division from the dividend obtained in step 5 and bring down the next period to the right of the remainder of this becomes new dividend .repeat the steps 5 6 and 7 till all the periods have been taken up .obtain the quotient as a square root of the given number .Hope it helps
How much would $600 be worth after 10 years, if it were invested at 4% interest compounded continuously? (Use the formula below and round your answer to the nearest cent.) A(t) = P▪︎e^rt
Answers
Answer:
600[tex]e^{10*.04}[/tex]
$895.09
Step-by-step explanation:
Name the marked angle in 2 different ways.
Answers
Answer:
∠XWV ∠UWV
Hope this helps! :)
Calculate the bank charges if a client wants to send a cash amount of R450 to a friend at an ATM without using a card
Answers
Answer:
R6.775
Step-by-step explanation:
Given that :
The transaction fee charged is calculated using the relation :
Transaction fee = R2.50 + 0.95%(amount deposited)
If amount to deposit is R450 ; the bank charge will be:
R2.50 + 0.95%(Amount deposited)
R2.50 + 0.0095(450)
R2.50 + R4.275
R(2.50 + 4.275)
R6.775
These trapezoids are similar. Which of the following is the correct similarity statement?
Answers
Which is greater, 2 miles or 1,000 yards? How much greater? Explain. Of 2 miles and 1,000 yards, _____ is greater. Since 2 miles is the same as _____ yards, _____ is __ yards greater than _____ .
Answers
Answer:
yards
Step-by-step explanation:
Answer:
Which is greater, 2 miles
1 mile = 1760 yards
2 miles = 2 * 1760
2 miles = 3,520 yards
How much greater?
3,520 - 1000 = 2520 yards
A rectangular cube of volume 8000cm3 has
length= 4x
width = 2x
Height= 1x
Find it's length, width and height.
Answers
Answer:
volumn= l*b*h
4x*2x*1x= 8000 cm3
8x= 8000 cm3
x= 1000cm3
length = 4000
breadth= 2000
height = 1000
A helicopter is 665 feet above the ground. A girl is looking up at the helicopter to form a line. Her line of sight is 5 feet off the ground. The distance between the girl and the helicopter is 280 feet.
Answers
Answer:
67
Step-by-step explanation:
we are given adjacent and opposite sides. thus tan^-1 would be used to determine the angle
opposite side = 665 - 5 = 660
adjacent side = 280
tan = opposite / adjacent
[tex]tan^{-1}[/tex] (660/280) = 67
Answer:
67
Step-by-step explanation:
I took it on EDG
Someone found 100! And added up all its digits. Then, this person added up the digits of this sum. The process was continued until the sum was a one-digit number. What was that number?
Answers
Determine the equation of the line perpendicular to y = 1/5x – 7 and passes through the point (-3,6).
Answers
Answer:
y = -5x - 9
Step-by-step explanation:
y = -5x + b
6 = -5(-3) + b
6 = 15 + b
b = -9
Confused on how to solve this problem, please help and offer a step by step explanation
Answers
Answer:
7x+5=180
7x=175
x=25
Hope This Helps!!!
A radius of a circle is 8 centimeters long.
One centimeter is about 0.4 inches. About
how long is the radius of the circle in
inches?
Answers
Answer:
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Step-by-step explanation:
\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}
Answers
Answer:
[tex]= \frac{2x-3\sqrt{x} }{x-1}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}[/tex]
Expand
[tex]\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}\\= \frac{x+2\sqrt{x}+1+(x-2\sqrt{x} +1) }{x-1}- \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1}{x-1} - \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1-(3\sqrt{x} +1)}{x-1}\\= \frac{2x-3\sqrt{x} +1-1}{x-1}\\= \frac{2x-3\sqrt{x} }{x-1}[/tex]
This gives the simplified form
In parallelogram RSTU if RT=36 find RV.
Answers
Answer:
rv = 18
Step-by-step explanation:
if rt is 36, rv is half of that so you take 36 and divide by 2 and get 18,
have a great day!!
Answer:
18
Step-by-step explanation:
Because i have parallegram RSTU
=> RT = 2*RV = 2*VT
SU = 2* SV = 2*VU
The focus is the point inside a _____________ that helps determine the shape of the curve.
1.vertix
2.parabola
3.directrix
4.quadratic
Answers
I answered it recently
The focus is the point inside a parabola that helps determine the shape of the curve.
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x - h)² + k
We have,
A parabola is a type of curve that is formed when a plane intersects a cone at an angle that is parallel to one of the cone's sides.
One of the key defining features of a parabola is that all points on the curve are equidistant from a fixed point, known as the focus, and a fixed line, known as the directrix.
The focus is located inside the parabola, and its distance from the directrix is equal to the distance from any point on the parabola to the directrix.
This property allows us to use the focus and directrix to determine the shape and location of the parabola.
Thus,
The focus is the point inside a parabola that helps determine the shape of the curve.
Learn more about parabola here:
https://brainly.com/question/21685473
#SPJ2
b) Show that the points (1,1), (-1,-1) and ( -root3, root 3 ) are the vertices of an equilateral triangle.
Answers
Given:
The vertices of a triangle are [tex](1,1),(-1,-1),(-\sqrt{3},\sqrt{3})[/tex].
To prove:
The given vertices are the vertices of an equilateral triangle.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let the vertices of the triangle are [tex]A(1,1),B(-1,-1),C(-\sqrt{3},\sqrt{3})[/tex]. Then, by using the distance formula, we get
[tex]AB=\sqrt{(-1-1)^2+(-1-1)^2}[/tex]
[tex]AB=\sqrt{(-2)^2+(-2)^2}[/tex]
[tex]AB=\sqrt{4+4}[/tex]
[tex]AB=\sqrt{8}[/tex]
Similarly,
[tex]BC=\sqrt{(-\sqrt{3}-(-1))^2+(\sqrt{3}-(-1))^2}[/tex]
[tex]BC=\sqrt{(1-\sqrt{3})^2+(1+\sqrt{3})^2}[/tex]
[tex]BC=\sqrt{(1)^2+(\sqrt{3})^2-2\sqrt{3}+(1)^2+(\sqrt{3})^2+2\sqrt{3}}[/tex]
[tex]BC=\sqrt{1+3+1+3}[/tex]
[tex]BC=\sqrt{8}[/tex]
And,
[tex]CA=\sqrt{(1-(-\sqrt{3}))^2+(1-\sqrt{3})^2}[/tex]
[tex]CA=\sqrt{(1+\sqrt{3}))^2+(1-\sqrt{3})^2}[/tex]
[tex]CA=\sqrt{(1)^2+(\sqrt{3})^2+2\sqrt{3}+(1)^2+(\sqrt{3})^2-2\sqrt{3}}[/tex]
[tex]CA=\sqrt{1+3+1+3}[/tex]
[tex]CA=\sqrt{8}[/tex]
Clearly, [tex]AB=BC=CA[/tex].
Since all sides of the given triangle are equal, therefore the given vertices are the vertices of an equilateral triangle.
Hence proved.
