Answer:
= -2/x^3
Step-by-step explanation:
Possible derivation:
d/dx(d/dx((x^2 + 2 x - 1)/x))
Distribute 1/x through x^2 + 2 x - 1:
= d/dx((d/dx(2 - 1/x + x)))
Differentiate the sum term by term and factor out constants:
= d/dx((d/dx(2) - d/dx(1/x) + d/dx(x)))
The derivative of 2 is zero:
= d/dx(0 - d/dx(1/x) + d/dx(x))
Use the power rule, d/dx(x^n) = n x^(n - 1), where n = -1.
d/dx(1/x) = d/dx(x^(-1)) = -x^(-2):
= d/dx(0 - -1/x^2 + d/dx(x))
The derivative of x is 1:
= d/dx(0 - -1/x^2 + 1)
Differentiate the sum term by term:
= d/dx(1) + d/dx(1/x^2)
The derivative of 1 is zero:
= d/dx(1/x^2) + 0
Simplify the expression:
= d/dx(1/x^2)
Use the power rule, d/dx(x^n) = n x^(n - 1), where n = -2.
d/dx(1/x^2) = d/dx(x^(-2)) = -2 x^(-3):
Answer: = -2/x^3
The measurement of one angle of a right triangle is 34°.
What is the measurement of the third angle?
Enter your answer in the box.
Answer:
56 is the answer. I am not sure
The two area rugs shown are similar. What is the length of the larger rug?
Answer:
57.6 ft squared
Step-by-step explanation:
diverse 9.6 and 8 to get the number you multiply 5 with. Then you get the side length of the other side. You then multiply both of those numbers together. Hope this helps!! Please mark me as brainliest :)
Answer:
Area of bigger rug = 57.6ft squared
Width of bigger rug = 6ft
Step-by-step explanation:
Because the rugs are similar, we can do 9.6/8 = 1.2
1.2 is our scale factor (the amount we need to times or divide by to find other missing widths or lengths)
To find the area of the rug, we want to do width x length, however the bigger rug doesn't have a width. So, we have to calculate the width.
The width of the smaller rug is 5ft, and we know our scale factor is 1.2, so 5*1.2=6
Therefore, the with of the larger rug is 6ft.
Area = 6*9.6=57.6ft squared
Hope this helps!
the function A(t)=728(1 + 0.04)t represents the amount of money in the account after t years. How much money did Adtia originally invest?
Answer:
$728.00
Step-by-step explanation:
$728.00 I’m assuming. Because the equation should be A(t)= P(1+i) ^t right? Telling us that P= principal, i= interest & t= time.
I’m assuming from MY financial mathematics class.
4(2x+2)=8(2-3x)
Give explanation please
Answer:
4(2x+2)=8(2-3x)
First I am going to distribute the 4 and the 8 on the sides of the equation.
This gets me to
8x + 8 = 16 - 24x
then subtract 8x on both sides to get
8 = 16 - 16x
then subtract 16 on both sides to isolate the -16x
-8 = -16x
then divide by -16 on both sides, to make the x variable positive and isolate the variable even more.
0.5 = x
Step-by-step explanation:
each step is highlighted in bold, and the equation after the step is shown below the bolded line.
How can I anwers this
3x+2y=11
y=x+3
solve using the system of equations using the method of substitution. show work
3+8=11
Step-by-step explanation:
3×1=3
y=(1)+3
y=4
3(1)+2(4)=11
so then 3+8=11
Answer:
x=1 and y=4
Step-by-step explanation:
3x+2y=11...........(1)
y=x+3................(2)
Substituting the value of y in equation (1).
3x+2(x+3)=11
3x+2x+6=11
5x=11-6
5x=5
x=5/5=1
x=1
Now, again
Substituting the value of x in equation 2.
y=1+3=4
y=4
Therefore, x=1 and y=4.
Sally invests £8000 in a savings account.
The account pays 2.8% compound interest per year
Work out the value of her investment after 4 years. Give your answer to the nearest penny. GUYS PLLS SAVE MEEE
The formula for this is:
Initial amount x multiplier^years
So that is £8000 x 1.028^4 = £8934.33938
That is £8934.34
Signs of all six trig functions (Lv1):
Answer:
4th quadrant
Step-by-step explanation:
Sec in Cartesian form is
[tex] \sec( \alpha ) = \frac{r}{x} [/tex]
In order for sec to be positive, we must have a positive x value so we must be in Quadrant 1 or quadrant 4.
cot is negative so that menas y must be negative so.
The quadrant that has a positive x value and negative y value is 4th quadrant.
2x+0.8/9=1.2
(solve for x)
.thank you!
Answer:
5/9
Step-by-step explanation:
2x+[tex]\frac{0.8}{9}[/tex]=1.2
2x=1.2-[tex]\frac{0.8}{9}[/tex]
x=[tex]\frac{1.2-\frac{0.8}{9} }{2}[/tex]
x=5/9
Which of the following transformations would make corresponding line
segments between a pre-image and image no parallel?
Reflecting over a line that is parallel to the line segment
Translating in a direction that is perpendicular to the line segment.
Rotating 180° about a point not colinear with the segment.
Rotating 90° around a point not on the line segment.
Answer:
D
Step-by-step explanation:
Consider the line y=x+1. Rotate this 90 degrees, and you get a line with a slope of -1, which obviously cannot be parallel.
x - 2y = 3
14x - 8y = 12
Answer:
x = 0, y = -3/2
Step-by-step explanation:
Solve the following system:
{-2 y + x = 3 | (equation 1)
{-8 y + 14 x = 12 | (equation 2)
Swap equation 1 with equation 2:
{14 x - 8 y = 12 | (equation 1)
{x - 2 y = 3 | (equation 2)
Subtract 1/14 × (equation 1) from equation 2:
{14 x - 8 y = 12 | (equation 1)
{0 x - (10 y)/7 = 15/7 | (equation 2)
Divide equation 1 by 2:
{7 x - 4 y = 6 | (equation 1)
{0 x - (10 y)/7 = 15/7 | (equation 2)
Multiply equation 2 by 7/5:
{7 x - 4 y = 6 | (equation 1)
{0 x - 2 y = 3 | (equation 2)
Divide equation 2 by -2:
{7 x - 4 y = 6 | (equation 1)
v0 x+y = -3/2 | (equation 2)
Add 4 × (equation 2) to equation 1:
{7 x+0 y = 0 | (equation 1)
{0 x+y = -3/2 | (equation 2)
Divide equation 1 by 7:
{x+0 y = 0 | (equation 1)
{0 x+y = -3/2 | (equation 2)
Collect results:
Answer: x = 0, y = -3/2
lacey deposited $30 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
Answer:
$9.93
Step-by-step explanation:
Lacey would earn $9.93 in interest
Please answer with steps
|3+5x|
----------- =4
9
Answer:
9 [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Subtract 3 from both sides.5x = 46Divide by 5 on both sides.This will get you 9 [tex]\frac{1}{5}[/tex]If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
My work was a bit shorter since I have answered several of your questions, and you should be able to try doing these types of problems on your own by now.
In what decade was hip-hop music developed?
A. 1960
B. 1970
C. 1980
D. 1990
Answer:
b 1970s
Step-by-step explanation:
M'(-5-4) is the image of M after a 90°
counterclockwise rotation about the origin.
What are the coordinates of M?
Step-by-step explanation:
Let coordinate of M(x, y)
we know,
image of M(x,y)-------M'(-y,x)
From question
(-y,x)= (-5,-4)
or, -y = -5 and x= -4
So, y=5 and x= -4
Therefore M(x,y)=M(-4,5)
1 Wilbur is thinking of a number. The sum of the
number and 30 is 255. Find Wilbur's number.
Known of information
the sum of the number and 30 is 255Set some variables:
unknown number --> XSet up equation based on known information:
X + 30 = 255
X = 225
Wilbur's number is 225.
Hope that helps!
A shoe store makes a profit of AED 60 per new pair of golf shoes and 50 per new pair of running sneakers. The demand for running sneakers is at least twice that of golf shoes. The store expects to order at most 75 new pairs of golf shoes and running sneakers. The store expects to sell at least 10 pairs of golf shoes and 20 pairs of running shoes. What combination of golf shoes and running shoes sold would lead to a maximum profit? Drag and drop your answers to correctly complete the sentence. The maximum profit is AED by selling pairs of golf shoes and pairs of running shoes.
Which statement is true?
A (64) ° <(6-?) (6)
A
<
® (64)> (6 %). (6)
B
6
Thug
(6") * = (6').(6)
Answer:
A
Step-by-step explanation:
on the left of the equation, (6^4)^-5 = 6^-20
the right side you add the exponents so it would be (-7-3) =-10
so it would be 6^-10, which is greater than 6^-20
Which statements are true about the polynomial 28vw 49v 35w? Check all that apply.
The correct statements about the polynomial are as follows;
There are no common variables among all three terms.
The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).
What are the polynomials?
A polynomial is comprised of variables, exponents, constants, and these can be added, subtracted, multiplied, or divided.
Given
The polynomial 28vw + 49v + 35w.
The polynomial can also be written as;
[tex]\rm 28vw + 49v + 35w\\\\7(4vw + 7v + 5w)[/tex]
The correct statements about the polynomial are as follows;
There are no common variables among all three terms.The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).To know more about polynomial click the link is given below.
https://brainly.com/question/3256580
Given: △ABC, m∠B=90° AB=12, BC=16, BK ⊥ AC . Find: AC and BK. Please explain how to find out BK
Answer:
Given: △ABC, m∠B=90° AB=12, BC=16, BK ⊥ AC . Find: AC and BK.
Given: △ABC, m∠B=90°
Find: AC and BK.
Short leg 90 degrees Long leg Hypotenuse
AB=12 90 BC=16 AC= ?
AK = ? 90 BK = ? AB=12
AC = SQRT (AB*AB + BC*BC) = 20 [right triangle; Pythagorean Theorem]
Similar triangles:[Note: In diagram, share two angles. Therefore share three angles]
BK / 16 = AB / AC
BK / 16 = 12 / 20
BK = (3/5)16
BK = 48/5
another answer let see this
AB^2+BC^2=AC^2
12^2+16^2=AC^2
144+256=AC^2
400=AC^2
20=AC
# be careful#
ΔABC and ΔBKC are similar triangles, the missing measures are:
AC = 20 unitsBK = 9.6 units.What are Similar Triangles?If two triangles are similar, their corresponding sides are proportional to each other.
When a segment of a right triangle intersects the hypotenuse, the triangles formed are similar to each other.
Thus, using Pythagorean Theorem:
AC = √(AB² + BC²)
Substitute
AC = √(12² + 16²)
AC = 20 units.
Find BK:
ΔABC ~ ΔBKC (similar right triangles)
Thus:
AB/BK = AC/BC
Substitute
12/Bk = 20/16
Cross multiply
BK = (16 × 12)/20
BK = 9.6
Therefore, ΔABC and ΔBKC are similar triangles, the missing measures are:
AC = 20 units
BK = 9.6 units.
Learn more about similar triangles on:
https://brainly.com/question/11899908
Nicole had 38 beads. She lost some of them. This can be modeled by the expression 38 - x what does x represent
Answer:
the number of beads she lost
Bella buys 4 packets of sandwiches at a bottle of water for £1.20 and 3 packets of crisps. Bella pays with a £20 note. She gets £5.75 change. Each packet of crisps has the same price. Work out the price of each packet of crisps.
For each bracelet Julie makes, SHES uses 5 green beads, 6 red beads, and 7 white beads, how many bracelets can she make?
Color of beads | number of beads
Green 1,012
Red. 998
White 1,057
A: 519 Bracelets
B: 202 bracelets
C: 166 Bracelets
D: 151 bracelets
Answer:
d; 151 bracelets
Step-by-step explanation:
to find this out we must divide each number of beads by their matching color amounts
1012 / 5 is 202.4 or 202
998 / 6 is 164.6... or 164
1057 / 7 is 151
151 is the least number out of all of these and in this case you can only make 151 bracelets or else you would run out of white
A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of xx.
Solution:
Note that:
x + 46 + (180 - 62) = 180Simplify the equation to find x.
x + 46 + (180 - 62) = 180=> x + 46 = 180 - (180 - 62)=> x + 46 = 180 - 180 + 62=> x + 46 = 62=> x = 16Sum of interiors=exterior
[tex]\\ \rm\bull\rightarrowtail x+46=62[/tex]
[tex]\\ \rm\bull\rightarrowtail x=62-46[/tex]
[tex]\\ \rm\bull\rightarrowtail x=16[/tex]
If z = 9x2 y2 and (x, y) changes from (1, 2) to (0. 95, 2. 1), compare the values of δz and dz. (round your answers to four decimal places. ).
One factor of the function f(x) = x3 − 6x2 + 11x − 6 is (x − 3)
Find the x-intercepts and the y-intercept of the graph of f(x) without using technology
real confused on this one! please help!!!
A rectangular polygon has a perimeter of 80 meters.The length of each side is 8 meters. What is the name of the polygon?
Answer:
72?
Step-by-step explanation:
irdk I'm srry if that's wrong
Please Help me !!!!!Toney tossed a coin off a 20-foot bridge. The path of the coin's height can be modeled by the equation
h(t)=−16t^2+40t+20
What is the initial velocity of the coin?
Question options:
20 feet per second
16 feet per second
32 feet per second
40 feet per second
Answer:
40 ft, max height
Step-by-step explanation:
Nick tossed a penny off a 20 foot bridge.
The path of the penny's height can be modeled by the equation h(t) = -16t^2 + 40t + 20.
Find the maximum height of the penny.
:
Find the axis of symmetry, x = -b/(2a); a=-16, b=40
Solve by substitution
0.3x + 0.4y = 0.8
0.7x - 0.8y = -6.8
Answer:
x = -2
y = 10
Step-by-step explanation:
(0.3 + 0.7) x + (0.4 - 0.8) y = 0.8 - 6.8
x - 0.4 y = -6 → x = 0.4 y - 6
0.3 ( 0.4 y - 6) + 0.4 y = 0.8 → 0.12y +0.4y - 1.8 = 0.8
→ 0.52 y = 2.6 → y = 2.6/0.52 = 10
x - 0.4(10) = -6 → x = -2
Step-by-step explanation:
0.3x + 0.4y = 0.8 /×2
0.7x - 0.8y = -6.8
1. 0.6x + 0.8y = 1.6
2. 0.7x - 0.8y = -6.8
1+2 : 1.3x + 0y = -5.2
1.3x = -5.2
x = -5.2÷1.3
x = -4
x -> 1 : 0.6 × -4 + 0.8y = 1.6
-2.4 + 0.8y = 1.6
0.8y = 4
y = 4÷0.8
y = 5
If the radius is 55 ft, Find the area of the circle to the nearest tenth. use 3.14
Answer:
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