Answers
Answer:
[tex]\large \boxed{\sf \ \ \ 2x-ln(1-x) \ \ \ }[/tex]
Step-by-step explanation:
Hello,
for any real x different from 1
[tex]\dfrac{3-2x}{1-x}=\dfrac{2-2x+1}{1-x}\\\\=\dfrac{2(1-x)+1}{1-x}\\\\=2\dfrac{1-x}{1-x}+\dfrac{1}{1-x}\\\\=2+\dfrac{1}{1-x}[/tex]
if f(x)=2x
f'(x)=2
if g(x)=-ln(1-x)
[tex]g'(x)=\dfrac{-1*-1}{1-x}=\dfrac{1}{1-x}[/tex]
So antiderivative of
[tex]\dfrac{3-2x}{1-x}=2+\dfrac{1}{1-x}[/tex]
Is
2x-ln(1-x)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Related Questions
There were 3 bands that
performed at the talent show.
What percent of the 16 group acts
were band performances?
Answers
Answer:
18.75%
Step-by-step explanation:
(round answer if needed)
Answer: 18.75%
Step-by-step explanation:
divide 100 by 16
100/16=6.25
6.25x3=18.75
Function f is given by the table of values shown.
x|0|1|2|3
f(x)|7|0|-5|-8
If function fis reflected across the x-axis to obtain function g, complete the table of values which represents function g.
Answers
Answer:
x | 0 | 1 | 2 | 3
f(x) | - 7 | 0 | 5 | 8
Step-by-step explanation:
When you reflect a point say across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). Therefore if the function f( x ) is reflected across the x - axis, it's new function would be y = - f( x ). This new function is function g, so you can also say y = - g( x ).
Given the following table ...
x | 0 | 1 | 2 | 3
f(x) | 7 | 0 | - 5 | - 8 ... we can keep the x - values constant, but take the opposite of each y - value, or " f( x ). " Doing so the new table should be the following -
x | 0 | 1 | 2 | 3
f(x) | - 7 | 0 | 5 | 8 ... note that 0 remains constant as you can't take it's opposite, it remains zero. Therefore, the function g is represented by the above table.
The values of g(x) are as follows:
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
As per the given data:
We are given a function f(x) and a table where the values of f(x) at different values of x is given.
The table for the values is as follows:
x | 0 | 1 | 2 | 3
f(x) | 7 | 0 |-5 | -8
We have to find the values for the function g(x) which is obtained when f(x) is reflected about the x-axis.
When any function is reflected about the x-axis, the values of the y-axis will have their signs changed, i.e. the y-axis values will become -ve if they are positive and +ve if they are -ve.
For g(x):
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
Hence, the values of g(x) are as follows:
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
To learn more about Function, click:
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Brad wants to open a new savings account. He finds one that returns 3% on his investment each year.
Question 1
Assign a variable to each of the following płeces of information:
• final balance
• initial investment
• return rate
use the variable to write a formula for the final balance after 2 years
Answers
Answer:
1.03x
Step-by-step explanation:
1 year b would be the inital investment added with interest
i believe this is the equation
b = x + r(x)= (1 + r)x
and since it says 3% each year we know its 0.03 (r)
and when you solve it out you get that answer
Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?
Answers
Answer:
600 blocks
Step-by-step explanation:
Well this question is asking us to find the volume of the rectangular prism.
Dimensions)
L: 12
W: 10
H:5
The formula for the volume of a rectangular prism is l*w*h or B*h.
So 12*10 = 120
120 * 5 = 600 blocks
Thus,
the fort contains 600 blocks.
Hope this helps :)
Answer:
[tex]\boxed{280\ blocks}[/tex]
Step-by-step explanation:
The blocks at the base are:
Length * Width = 10 * 12 = 120 blocks
On the 2nd Layer:
=> 9+11+9+11 = 40 blocks
There are 3 more layers as the 2nd layer:
So, the blocks of these 4 layers are => 4 * 40 = 160 blocks
Total Blocks = Base Blocks + Layer Blocks
=> 120 + 160
=> 280 blocks
If a store is selling packs of gum at 3 for $0.99, how much would 12 packs cost?
Answers
Answer:
$3.96.
Step-by-step explanation:
3 cost $0.99, so 12 packs would cost 12/3 = 4 times as much.
0.99 * 4 = 3.96.
12 packs would cost $3.96.
Hope this helps!
Hello! The answer will be below! :3
The answer to your question is 3.96.
Because we have to take the info that’s given like we first have to divide.
12 divided by 3 is 4
Now we multiply.
0.99 * 4 = 3.96
So the answer is 3.96
Hope this helps! :)
⭐️Have a wonderful day!⭐️
This is question 18 for the recent post please help!!
Answers
Answer: D) 6
Step-by-step explanation:
Because this triangle's legs are x and x*root(3), it is a 30-60-90 triangle. Thus, the hypotenuse equals 2x, or 6.
Hope it helps <3
Write an ordered pair for each point graphed below.
Answers
Answer:
[tex]\boxed{(-1,4)}[/tex]
Step-by-step explanation:
The point is located in Quadrant II of the graph, where x-values are negative and y-values are positive.
Each marking on the graph represents one unit of distance. The two axes meet at the origin, where the coordinate point is equal to [tex](0,0)[/tex].
So, you can count backwards once from the origin to get your x-value ⇒ [tex]-1[/tex] and count up upwards four times from [tex]x=-1[/tex] to get your y-value ⇒ [tex]4[/tex].
Finally, place these in a coordinate point [tex](x,y)[/tex] ⇒ [tex]\boxed{(-1,4)}[/tex].
Answer:
(-1, 4)
Step-by-step explanation:
The point lies on the line x = -1.
The point lies on the line y = 4.
Where both lines intersect, that is the coordinate.
(x, y)
(-1, 4)
30 points high school geometry question
Answers
Answer:
x = 5
Step-by-step explanation:
9/15 = 3/x
x = 5
X would equal 5
I did this test in high school. smh
How is everyone doing today? Here is a problem for the day! Problem - 10 + 8 x 119
Answers
Answer:
..
-10 + 8× 119
= -10 + 952
= 942. .....
Answer:
236 (i think)
Step-by-step explanation:
cuz 0-10= -10+8= -2 X 119=236 (sorry if you cant read this my keyboard sucks
Write an equation of the line that satisfies the given conditions. Give the equation (a) in slope-intercept form and (b) in standard form.
Through (-2,4): perpendicular to x=8
(a) The equation of the line in slope-intercept form is_____.
Answers
Answer:
y = 4
Step-by-step explanation:
The line x=8 is a vertical line. The perpendicular line will be horizontal, with a slope of 0. In order for it to go through the given point, the y-intercept must match the y-value of the point. The equation is ...
y = 0x +4 . . . . . slope-intercept form with slope explicitly shown as 0
This simplifies to ...
y = 4
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations? 3 x + 13 y = 14. 6 x + 11 y = negative 2. 4 x + 5 y = 12. 8 x + 3 y = negative 4. 5 x + 4 y = 12. 7 x + 8 y = 12. 10 x + 3 y = 8. 17 x + 6 y = 10.
Answers
Answer:choice one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I did the test
Plz help me 3(x + 1) = 5 + x
Answers
Answer:1
Step-by-step explanation:distribute 3 through the parentheses, move variable to the left hand side and change it’s sign, move constant to the right hand side and change its sign , collect like terms , subtract the numbers and then divide .
That will bring our equation to:
3x + 3 = 5 + x
Now we have to move around so the like terms are separated from each other
That will bring our equation to:
2x = 2
Now we can divide by 2 to get x alone
That will bring us to our answer:
x = 1
What is the volume of the following rectangular prism?
Answers
Answer:
Step-by-step explanation:
The Volume is given by the following equation: V= Base x Height
Therefore, [tex]V = 16\frac{1}{4} * \frac{1}{2} = \frac{65}{4} * \frac{1}{2} = \frac{65}{8} = 8\frac{1}{8}[/tex] units
Given: P∈ BC , Pabc = 45, Pabp = 30, Papc = 35. Find AP.
Answers
Answer:
10
Step-by-step explanation:
Pabp = AB +BP +AP
Papc = AP +PC +CA
So the sum of perimeters of the two smaller triangles is ...
Pabp +Papc = AB +BP +AP + AP +PC +CA
= (AB +BP +PC +CA) +2AP
= Pabc +2AP
Filling in numbers, we have ...
30 +35 = 45 +2AP
20 = 2AP . . . . subtract 45
10 = AP . . . . . . divide by 2
The length of AP is 10 units.
Please Help the question is below!!!
Answers
Answer:
A is right its acute angle
Step-by-step explanation:
because supplementary is 180
therefore A +B = 180
since we know A
B = 180- A
B = 73
which is an acute angle as its less than 90
pls mark me brainliest pls
Answer:
Step-by-step explanation:
(a) Acute
A=107 deg
B=?
given A+B=180
=> B=180-A
= 180-107
= 73
SO, B is an acute angle.
Which method correctly solves the equation using the multiplication property of equality and the reciprocal of One-third?
Answers
Answer: -third
Step-by-step explanation:
How many solution does this following equation have? -7x-10-15x=-22x+83 A. No solution B. Exact 1 solution C. Infinite solution
Answers
Answer:
A. No Solution
Step-by-step explanation:
To solve for x we would just simplify the equation so it is easier to work with. First we will combine the -7x and the -15x and when you combine then you will get -22x so the equation will look like this [tex]-22x-10=-22x+83[/tex] now we would add 22x to both sides and our equation will be [tex]-10=83[/tex] and that is not correct so the answer would be A. No solution
Answer:
A. No solution
Step-by-step explanation:
-7x - 10 - 15x = -22x + 83
-22x - 10 = -22x + 83
0 = 93
Zero doesn't equal to 93, so there are no solutions.
Which of the following is a valid reason why the quadrilateral shown below is
a parallelogram?
A. Both pairs of opposite sides are parallel.
B. The diagonals bisect each other.
C. The diagonals are congruent.
D. Both pairs of opposite sides are congruent.
Answers
A parallelogram is a quadrilateral with two pairs of parallel sides.
Option A is the correct answer.
What is a parallelogram?Parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
A parallelogram is a quadrilateral with two pairs of parallel sides.
So, option A is a valid reason for the given quadrilateral to be a parallelogram.
The other options do not necessarily hold true for all parallelograms. For example, the diagonals of a parallelogram bisect each other and are congruent, but not all quadrilaterals with bisecting diagonals are parallelograms.
Similarly, not all parallelograms have congruent diagonals or congruent opposite sides.
Thus,
A parallelogram is a quadrilateral with two pairs of parallel sides.
Learn more about parallelograms here:
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why is it important to break down the radical into its prime factor?
Answers
Answer:
The prime factors of a number are all the prime numbers that, when multiplied together, equal the original number. You can find the prime factorization of a number by using a factor tree and dividing the number into smaller parts.
Step-by-step explanation:
Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.
Use the polygon tool to graph the dilated figure.
Answers
Answer:
(2,4), (6,4), (2,-2), (6,-2)
Step-by-step explanation:
To dilate a figure multiply 2(x,y)
2(1,2) = (2,4)
2(3,2) = (6,4)
2(1,-1) = (2,-2)
2(3,-1) = (6,-2)
Hope this helps! Ξ
The ten's digit in a two-digit number is 1 greater than the one's digit. If we interchange the digits in the number, we obtain a new number that, when added to the original number, results in the sum 187. Find this number.
Answers
Answer:
98
Step-by-step explanation:
Let's say the tens place is x and the ones place is y.
The tens place is one more than the one's place:
x = y + 1
Reversing the digits, plus the original number, is 187:
(10x + y) + (10y + x) = 187
11x + 11y = 187
x + y = 17
Substituting:
y + 1 + y = 17
2y = 16
y = 8
x = 9
The number is 98.
Carla bought quail eggs for 10 cents each. She bought 42 eggs. How much did she pay for
the eggs?
Answers
Answer:
420 cents or $4.20
Step-by-step explanation:
if each egg is 10 cents then
U MULTIPLY 42*10=X
420=X
SO 420 CENTS OR 4.20$
HOPE I HELPED
CAN I GET BRAINLIEST PLS?
-ZYLYNN
Select the decimal that is greater than 1/3 and smaller than 1/2. A 0.299 B 0.300 c. 0.415 d 0.501
Answers
Answer:
C, 0.415
Step-by-step explanation:
Convert the fractions to decimals:
1/3 = 0.3333333...
1/2 = 0.5
So the decimal must be greater than 0.3333333... and smaller than 0.5,
from the options,
only 0.415 matches with the requirements.
Answer:
c.415
Step-by-step explanation:
1/3 = 0.333333...
1=2 = 0.5
Therefore the "c option - 0.415" as it is greater than 1/3 and lesser than 1/2
Hope ths helps....
Pls mark my ans as brainliest :)
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I want to rank up....
Dat y pls mark my ans as brainliiest :)
Which expression can you simplify by combining like terms?
CLEAR CHECK
12b2+4ab−3ba−6
17a2−6b2a+4ba−9
5b2−5a2+8a−b
14a2+6ab−3b−3a
Answers
A. Plot the data for the functions f(x) and g(x) on a grid (SHOWN ABOVE)
B. Identify each function as a linear, quadratic, or exponential, and uses complete sentences to explain your choices.
C. Describe what happens to the function values in each function as x increases from left to right.
D. At what value(a) of x are the function values equal? If you cannot give exact values for x, give estimates.
Answers
Micah is handing out miniature chocolate bars and butterscotch hard candies for Halloween. He wants tohave a total of 7 pounds of candy, but he doesn't want to spend more than $11.00 total on the candy. If miniature chocolate bars costs $1.80 per pound, and butterscotch hard candies costs $1.00 per pound, how many pounds of each type of candy should he buy?
Answers
Answer:
5 pounds of miniature chocolate and 2 butterscotch hard candies
Step-by-step explanation:
5 x $1.80 =$9 for 5 pounds of candy
2 x $1.00 =$2 for 2 pounds of candy
2 + 5 =7 pounds
7 pounds of candy using $11.00
Liam is making chocolate chip cookies. The recipe calls for 1 cup of sugar for every 3 cups of flour. Liam only has 2 cups of flour.
How much sugar should Liam use?
Explain why your answer is correct.
Answers
Answer:
2/3 cups of sugar
Step-by-step explanation:
Answer:
2/3 cups of sugar
Step-by-step explanation:
If 3 cups of flour: 1 cup of sugar
2 cups of flour: x cup of sugar
Cross multiply
3x = 2 × 1
3 3
x = 2/3
My answer is correct because every 3 cups of flour is a full cup (1) but because he has 2 cups of flour, the cup of sugar is going to be less than 1 because 3 cups of flour is bigger than 2 cups of flour.
Find the median of the data in the dot plot below.
Answers
Explanation: the easiest way to find the medium is by one by one crossing out both sides till you get to the last standing middle number. Which in this case is 5
HOPE THIS HELPED
Pls help xDDDDD thx!
Answers
Answer:
-25
Step-by-step explanation:
Tell me if you need an explanation :)
Help me ASAP for this question the picture are the answers
If triangle BAT is similar to triangle ROD (ABAT AROD), which of the following statements is incorrect?
Answers
Answer:
I'm pretty sure it's the last one that is incorrect
Step-by-step explanation:
Answer:
The first one - “line segment TA is congruent to line segment DO” is incorrect
Step-by-step explanation:
Since the triangles are similar, the angle measurements would be the same (congruent), but the line segments are are only similar, not congruent, as they have different lengths. So the first statement is incorrect.