Answer:
[tex]\frac{f(x + \triangle x) - f(x)}{\triangle x} = 3x^2+ 3x \cdot \triangle x + (\triangle x)^2[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^3[/tex]
Required
Evaluate
[tex]\frac{f(x + \triangle x) - f(x)}{\triangle x}[/tex]
[tex]\frac{f(x + \triangle x) - f(x)}{\triangle x}[/tex] becomes
[tex]\frac{f(x + \triangle x) - f(x)}{\triangle x} = \frac{(x + \triangle x)^3 - x^3}{\triangle x}[/tex]
Expand
[tex]\frac{f(x + \triangle x) - f(x)}{\triangle x} = \frac{x^3 + 3x^2 \cdot \triangle x+ 3x \cdot (\triangle x)^2 + (\triangle x)^3 - x^3}{\triangle x}[/tex]
Collect like terms
[tex]\frac{f(x + \triangle x) - f(x)}{\triangle x} = \frac{x^3 - x^3+ 3x^2 \cdot \triangle x+ 3x \cdot (\triangle x)^2 + (\triangle x)^3 }{\triangle x}[/tex]
[tex]\frac{f(x + \triangle x) - f(x)}{\triangle x} = \frac{3x^2 \cdot \triangle x+ 3x \cdot (\triangle x)^2 + (\triangle x)^3 }{\triangle x}[/tex]
Factorize
[tex]\frac{f(x + \triangle x) - f(x)}{\triangle x} = \frac{\triangle x(3x^2+ 3x \cdot \triangle x + (\triangle x)^2) }{\triangle x}[/tex]
[tex]\frac{f(x + \triangle x) - f(x)}{\triangle x} = 3x^2+ 3x \cdot \triangle x + (\triangle x)^2[/tex]
Jessica is getting ready for college she needs to have an
overall grade of 85 in her Math class to qualify for the college that
she wished to attend. Her math grade is based solely on her
scores on 6 exams. On the first 5 exams her scores were 87, 81,
85, 90, 78. Write an inequality that represents her predicament.
What does score does she need to get on her last test to qualify?
Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem
Joley is opening her first checking account as a teenager. She doesn’t have a job, so most of the income will be presents from birthdays and holidays. Bank A has an $8 monthly charge. Bank B charges 1% of the balance. Which account balance below will result in bank A being a better financial choice?
$750
$850
$650
$550
I’d like to get this question right pls try ur best my grade needs to get better and it’s my only chance
Answer: $850.
Step-by-step explanation: just subtract by 8 every month for account A and take away 1% from account b every month.
Answer:
Okay so after a bit more tie thinking im pretty sure its 850
Step-by-step explanation:
PLEASE HELP!
Find the measure of the missing angle.
Answer:
45 degrees
Step-by-step explanation:
The area of a rectangle is 77ft, and the length of the rectangle is 3 more than twice the width. Find the dimensions of the rectangle.
Answer:
W = 11/2, L = 14 sq ft
Step-by-step explanation:
Area = 77ft
L = length, W = width
L = 3 + 2W
L * W = 77
Plug W in to find the L
HELP!! 10 MIN REMAINING.
How can scientists use a seismograph to determine the density and depth of earths layers.
Answer:
Scientists can tell by observing the seismic waves that are recorded all over the surface of the earth from distant earthquakes. The seismic waves are reflected (bounced off) layers of different density, and they are refracted (bent) when they enter layers of different density.
Answer:
here now you can give her brainliest
Step-by-step explanation:
Help plsssss:(
20.) Tameka made 20 bracelet to sell at
the craft show. She sold all 20
bracelets for $4 each. She paid
$6.99 for beads and clasps to make
the bracelets. She paid a $10 booth
fee to sell her bracelets at the craft
show. What was Tameka's profit?
F.
$40.99
G.
$80
H.
$70
J.
$63.01
Babuce this
quation
CUCO3 + HNo3Cu(NO3)2 + H2O
If a $100 per month annuity was offering an annual 4.8% interest compounded monthly, how much money would be in the account after two years? Round your answer to the nearest cent, and do not include a dollar sign in your answer.
Answer:
109.6
Step-by-step explanation:
100+100×(4.8%×2)=100+ 100×9.6%=100+9.6=109.6
Answer:
The money account after two years will be 110.054
Step-by-step explanation:
Compound interest formula[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A = final amount = required to know
P = initial principal balance = $100
r = interest rate = 4.8%=4.8/100 because compounded monthly
n = number of times interest applied per time period = 12
t = number of time periods elapsed = 2
[tex]A = P(1 + \frac{4.8}{1200})^{24}[/tex]
[tex]A= 100(1+0.004)^{24}[/tex]
A= [tex]110.054[/tex]
Thus, The money account after two years will be 110.054
click here to know more about Compound interest
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What two numbers have a sum of -9 and a product of 20 ?
Sara is shopping at staples and brought the following items.
6 folders for $0.25 each
2 boxes of pencils for $2.99 each
1 packof 3notebooks for $3.75
How much did Sara spend?
Answer:
18.73
Step-by-step explanation:
6 x 0.25 = $1.50
2.99 x 2 = $5.98
3.75 x 3 = $11.25
11.25+5.98+1.50 = 18.73
twice the amount of money you earned this summer minus three thousand
Money earned: $1,600
3x+4=2
Testing out the website thank you
Answer:
x=-6
Step-by-step explanation:
3x+4=2
3x=2-4
x=-2*6
x=-6
Answer:
3x+4=2
Sub 4
3x=-2
Divide 3
-2/3 or -0.67
please help 10 point reward
ANSWER: I can give you the steps to figure out this question.
1 if it is starting at the 6 on the y axis, then just do up 1 over 1 until you get to the 10
The answer to your question is..... 6y+1=4x+10
Write the word sentence as an equation.
A number w divided by 5 equals 6.
Answer:
[tex]\frac{w}{5}=6[/tex]
Step-by-step explanation:
The first part indicates division with the phrase, divided by.
A number w divided by 5 - [tex]\frac{w}{5}[/tex]
Equals '6' would indicate that the value of 'w' and '5' would be '6'.
Equals 6 - [tex]= 6[/tex]
Hope this helps.
Choose ALL the angles with a measure of 90°.
Answer:
Top Left, Top Right, Bottom Middle, Bottom Right
Step-by-step explanation:
The square in the joint of the angle indicates a right angle.
What is the surface area of the square pyramid?
Answer:
You find the area of all the faces of the square pyramid, then add them together to get the surface area.
Which equation can be used to find X, the length of the hypotenuse of the right triangle?
How do I complete this question on arc length?
Answer:
v ≈ 8.5 km/h
Step-by-step explanation:
Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.
Use the radius of the water wheel to find it's circumference C:
[tex]C=2\pi r[/tex] [set r = 1.5 m]
⇒ [tex]C=2\pi (1.5)[/tex]
⇒ [tex]C=3\pi[/tex] m
One revolution of the water wheel corresponds to [tex]3\pi[/tex] meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:
[tex]15(3\pi )[/tex] = [tex]45\pi[/tex] [tex]m[/tex]/min
Using this result, the speed of the river in kilometers per hour will be:
[tex]v=\frac{45\pi m }{1 min}[/tex] × [tex]\frac{1 km}{1000 m}[/tex] × [tex]\frac{60 min}{1 h}[/tex]
⇒ [tex]v=8.48230016469[/tex] [tex]km/h[/tex]
⇒ [tex]v[/tex] ≈ [tex]8.5[/tex] km/h
Answer:
≈ 8 km per hour
Step-by-step explanation:
C = [tex]\pi[/tex] d
C = [tex]\frac{66}{7}[/tex]
Velocity = [tex]\frac{66}{7}[/tex] × 15 = [tex]\frac{990}{7}[/tex] ( meters per minute ) = [tex]\frac{0.99}{7}[/tex] × 60 ≈ 8.5 km/h
. Mrs. Khan makes cookies for the school bake sale. She uses the equation c = 0.75x to determine the cost, c, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale?
A. 75 cookies per dollar
B. (0,0), (3, 2.25), (6, 4.25), (8,6.5)
c. 3/4 cookie per dollar
D. (0,0), (2, 1.5) (5, 3.75), (7,5.25)
Answer:
The answer is D.
Step-by-step explanation:
Type the correct answer in each box.
Consider the table modeling function f.
-2
-1
0
1
2
-28
-9
-2
-1
0
Complete the table modeling the inverse of function f.
-1
0
4–1()
-2
0
The screenshot is the correct answers
The table modeling the inverse of function f is,
[tex]x[/tex] [tex]f^{-1}(x)[/tex]
-28 -2
-9 -1
-2 0
-1 1
0 2
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is inverse function?"A function g is the inverse of a function f if whenever y = f(x) then x = g(y)"
For given question,
We have been given a table modeling function f.
x f(x)
-2 -28
-1 -9
0 -2
1 -1
2 0
We need to complete the table modeling the inverse of function f.
We know that the inverse of function y = f(x) is [tex]x=f^{-1}(y)[/tex]
For given function f(x), we find inverse of f(x)
[tex]x[/tex] [tex]f^{-1}(x)[/tex]
-28 -2
-9 -1
-2 0
-1 1
0 2
Learn more about the inverse of function here:
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Alyssa planted 2 rows of onions and 2 rows of turnips in a garden. Alyssa also
planted 2 a row of oak trees. In total, how many rows of vegetables
did Alyssa plant?
Answer:
7[tex]\frac{1}{2}[/tex] rows
Step-by-step explanation:
just count the rows! (if she planted half a row then add it as half)
2[tex]\frac{1}{2}[/tex] + 2[tex]\frac{1}{2}[/tex] + 2[tex]\frac{1}{2}[/tex] (you can split it up)
2 + 2 + 2 + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex]
6 + 1[tex]\frac{1}{2}[/tex] = 7[tex]\frac{1}{2}[/tex]
PLEASE HELP!
Solve for x.
A.108 degrees
B.72 degrees
C.18 degrees
D.17 degrees
Option : D
72°+x ＝90°
x ＝18°
4x-3y<16, which ordered pair?
Answer:
A. (3, -1)
Step-by-step explanation:
The ordered pair that is a solution is the one which makes the inequality TRUE when the value of the ordered pairs are plugged into 4x - 3y < 16
Therefore, the ordered pair, (3, -1) is the solution because it is the only given ordered pair in the options that makes the inequality true. Thus:
Substitute x = 3 and y = -1 into 4x - 3y < 16
4(3) - 3(-1) < 16
12 + 3 < 16
15 < 16 (TRUE)
6/7 divide 4
Show your workings
Answer:
6/28 or 0.214
Step-by-step explanation:
6/7÷4=6/7÷4/1
6/7÷4/1=6/7×1/4
6/7×1/4=6/28
Not sure if you're allowed to leave it in a fraction or not, so as a decimal, it's 0.214 to 3 s.f.
Hope this helps :-)
Answer:
3.4285714284
Step-by-step explanation:
6÷7 = 0.8571428571
0.8571428571 × 4 = 3.4285714284
Slove the math step by step
Answer 19
Step-by-step explanation:
x+a+y+a =19
50 POINT I NEED HELP BAD
Answer:
k = 4
Step-by-step explanation:
7k - 6 = 2k + 14
(7k - 2k) - 6 = (2k - 2k) + 14
5k - 6 = 14
5k (- 6 + 6) = 14 + 6
5k = 20
5k/5 = 20/5
k = 4
X
If the edges of a rectangular prism are increased by a scale factor of 3, how will the volume change
O A. The new volume is 3 times the old volume,
B. The new volume is 9 more than the old volume.
O C. The new volume is 9 times the old volume,
D. The new volume is 27 more than the old volume,
O E. The new volume is 27 times the old volume,
9514 1404 393
Answer:
E. The new volume is 27 times the old volume
Step-by-step explanation:
If L, W, and H are the original length, width, and height, then the original volume is ...
V = LWH
The volume after the scale factor is applied is ...
V' = L'W'H' = (3L)(3W)(3H) = 27LWH = 27V
The new volume is 27 times the old volume.
If Tom has 3 apples and Abby takes 4 then how many apples does Tom have left?
Answer:
He has 3 because it didn't say Abby took his..
Is that right?!
Answer:
0 apples
Step-by-step explanation:
3 - 4 = - 1
0 apples
Find the value of x by using the exterior angle theorem.
Answer:
The first choice (12)
Step-by-step explanation:
i'm not 100% what the theory is but here is how I did it:
the angle D and 115% are supplementary which means they add up to 180.
115+x=180
x=65
so now that you know all the angle measures, you also know that all angles of a triangle add up to 180.
65+3x+19+5x=180
combine like terms:
8x+84=180
subtract 84 from both sides:
8x=96
divide by 8 on both sides
x=12
NEED HELP DUE IN 10 MINUTES!!!