Answers
G'(x) = 1 × g(x) × f(x) + g'(x) × x × f(x) + f'(x) × x × g(x)
G'(x) = g(x).f(x) + x.f'(x).g(x) + x.g'(x).f(x)
Thus ;
G'(3) = g(3).f(3) + 3f'(3).g(3) + 3g'(3).f(3)
G'(3) = 13×9 + 3×( - 11 )×13 + 3×( - 5 )×9
G'(3) = 117 + ( - 429 ) + ( - 135 )
G'(3) = 117 - 135 - 429
G'(3) = - 18 - 429
G'(3) = - 447
Related Questions
What is the simplest form of √x^15? A. x^6√x^3 B. x^7 C. x^7√x D. x^6√x
Answers
Answer:
c. [tex]x^7\sqrt x[/tex]
Step-by-step explanation:
Find the largest square factor of [tex]x^{15}[/tex], which is [tex]x^{14}=(x^7)^2[/tex]. This gives [tex]\sqrt{x \cdot (x^7)^2[/tex]. Taking the square factor out gives [tex]x^7 \sqrt x[/tex], or choice c.
The width of a picture frame is 1/4 the length. Write an algebraic expression of four terms for the perimeter of the picture frame. Use x as your variable.
Answers
Answer:
P = 2.5xStep-by-step explanation:
Let the length is x, then the width is 1/4x.
Find the perimeter of rectangle:
P = 2(l + w)P = 2(x + 1/4x) = 2x + 1/2x = 2 1/2x = 2.5xA box of 125 packets of artifical sweetener sells for 3.99
The 100 packs box is on sale in another store for 3.00
which is the better buyyer
Answers
Answer :
2nd One
Explanation : 1st Is 498.75 And 2nd One Is 300.00
a person spends rs.1500 in buying goods;if each kg had cost rs.25 more he would have got 5 kg less .what weight did he buy?
Answers
Answer:
12kg
Step-by-step explanation:
the total money is =1500
each kg =25
so, we first multiply 25 as each kg by 5kg. To have the kg remaining
25×5 = 125
then
1500÷125
=12kg
he bought 12kg,
What is the midpoint of the line segment graphed below?
Answers
Answer:
option A [tex](4, \frac{7}{2})[/tex] is the midpoint.
Explanation:
To find midpoint: [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
We shall use this formula here:
[tex](\frac{9+-1}{2}, \frac{5+2}{2})[/tex]
[tex](\frac{8}{2}, \frac{7}{2})[/tex]
[tex](4,3.5)[/tex]
Solve the following inequality.
r
3
§ < <-6 OR 3r + 1 > 100
r< [?] OR r >[]
[
Foto
Answers
Answer: -18 and 33
Step-by-step explanation:
r/3 < -6 means r<-18
3r+1 > 100 means r > 33
so the blanks are -18 and 33, respectively.
Write the number that represents the English words: five hundred thirteen millionths
Answers
Answer:
513,000,000
Step-by-step explanation:
To write five hundred thirteen million in numbers change “five hundred thirteen million” to “513”, then multiply 513 by 106.
Alternatively, move the decimal point 6 places to the left:
513 × 106 = 513000000,
513 → 5,130 → 51,300 → 513,000 → 5,130,000 → 51,300,000 → 513,000,000.
Besides, five hundred thirteen million means:
513 × 10^6
513000000 as a whole number
513M in abbreviated form
[RevyBreeze]
Will give brainliest if helpful
Answers
Answer:
Step 1) P = 600, Decimal format: 0.04, Balance = 624
Step 2) Principle = 624, Balance = 648.96
Step 3) Principle = 648.96, Balance = 674.92
Step-by-step explanation:
Use the formula of A = P(1 + r/n)^n*t
P = 600, r = 4%, n = 1, t = 1 years.
Plug in
A = 600(1 + 0.04/1)^1*1
A = 600 * 1.04^1
A = 600 * 1.04
A = 624
To find the seperate interest
A = P + I
624 = 600 + I
I = 624 - 600
I = 24
Repeat for Step 2
P = 624, r = 4%, n = 1, t = 1
A = 624(1 + 0.04/1)^1*1
A = 624 * 1.04^1
A = 624 * 1.04
A = 648.96
Repeat for interest
648.96 = 624 + I
I = 648.96 - 624
I = 24.96
Repeat for step 3
A = 648.96, r = 4%, n = 1, t = 1
A = 648.96(1 + 0.04/1)^1*1
A = 648.96 * 1.04^1
A = 648.96 * 1.04
A = 674.92
Interest repeat
674.92 = 648.96 + I
I = 674.92 - 648.96
I = 25.96
Dad caught 22 fish in the morning. He threw 5
back because they were too small. He caught 12
more in the afternoon. How many fish did dad
have then?
Is 29 the answer to this problem.
Answers
He caught 22 but put 5 back so had 22-5 = 17 fish
He then caught 12 more for a total of 17 + 12 = 29
Answer: 29 fish.
Answer:
The answer is 29 (so you were right!)
Step-by-step explanation:
He had 22 fish, and he threw 5 back
22 - 5 = 17
He caught 12 more in the afternoon
17 + 12 = 29
So, 29 is your answer.
Find the Area please help me
Answers
Step-by-step explanation:
Area for a right angle triangle = 1/2 bh
b = Base
h = Height
A = 1/2×bh
= 1/2 × 2c^3d^2 × 4c
= (2c^3d^2 × 4c) / 2
= c^3d^2 × 2c
= 2c^4 × d^2
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answers
Answer:
A is the answer
Step-by-step explanation:
I thought I said it
Answer:
its $148.80
Step-by-step explanation:124.00 times .20 which its 24.8 and then u add that to ur bill.
using elimination, solve
-12x + 9y = 7
9x ÷ 12y = 6
Answers
Answer:
3x=24y
-12x+9y=7
let me know if this helps :3
Step-by-step explanation:
1.
Carly has 35 pens in her pencil case and 20% don't work. How many don't work?
Answers
Answer:
35/5=7 ez math why are you asking
Suppose you have invested $1500 at an APR of 8%. Use the Rule of 72 to estimate how long it will be until your investment reaches $3000.
Answers
Answer:
25 Years. thank you for your question
The time required for the investment of $1500 reaches $3000 with APR of 8% using the rule of 72 is 9 years.
What is the Rule of 72?The rule of 72 is the easy way to calculate the number of years required the investment with the given interest rate. It can be calculated as,
[tex]t\approx\dfrac{72}{r}[/tex]
Here, (t) is the time period and (r) is the rate of return.
The invested amount is $1500 and the value of APR is 8%. The time we have to calculate using the rule of 72.
The final amount of the investment is $3000 which is double the initial amount. Thus, the time period required to double the investment with 8% of interest is,
[tex]t\approx\dfrac{72}{8}\\t\approx9[/tex]
Thus, the time required for the investment of $1500 reaches $3000 with APR of 8% using the rule of 72 is 9 years.
Learn more about the rule of 72 here;
https://brainly.com/question/2180245
How to do
Please add explanation
Answers
Answer:
x=1÷x+1
NOW
or,x=1÷×+1
or,xsquare=1÷1
or,xsquare=1
or,h=1 answer
-3,2 and 8,2 in slope intercept form
Answers
Answer:
y = 2
Step-by-step explanation:
So we need to find the slope first.
m = y_2 - y_1/x_2 - x_1
Substitute
m = 2 - (2)/8 - (-3)
Simplify now.
Multiply -1 by 2
m = 2 - 2/(8 - (-3)
2 from 2
m = 0/8 - (-3)
Now we need to simplify the denominator.
To do so lets multiply -1 by -3
m = 0/8 + 3
m = 0/11
m = 0
Now we have the slope of 0 and the given point of (-3, 2)
So y - (2) = 0 * (x - (-3)) (Formula > y - y_1 = m(x - x_1) this comes from the original slope equation]
Simplify further
y - 2 = 0 * (x + 3)
Now we solve for y
Multiply 0 by x + 3
y - 2 = 0
Add 2 to both sides
y = 2
Answer:
-3,2 and 8,2
Step-by-step explanation:
hi so im really bad at math im just wondering how do u become good at math
Answers
Answer:
Break Down Complex Problems.
Master The Basic Math Skills.
Understand The Topic Before Moving On To Another.
Know The Importance Of Number Sense.
Have A Regular And Consistent Practice.
Establish A Routine.
Focus On Understanding New Concepts.
Create A Practice Math Test.
Completing basic operations with decimals is different than with whole numbers.
Select one:
True
False
Answers
Answer:
Fundamentally, no.
Step-by-step explanation:
It's the same exact concept, only now you are dealing with numbers that are in between two numbers. You still have to follow the same rules though.
An object is launched directly upward from ground level at a rate of 96 feet per second. The height of the object is given by the equation y = −16x^2 + 96x.
When is the object AT OR ABOVE a height of 128 feet?
A) 1 ≤ x ≤ 3
B) 1 ≤ x ≤ 4
C) 2 ≤ x ≤ 3
D) 2 ≤ x ≤ 4
Answers
Answer:
D
Step-by-step explanation:
The x in the spot (x,y) is the time, while the y is how high the object is at.
The length of the time when the object is at or above 128 feet starts at exactly 2 seconds and ends at exactly 4 seconds.
A novelty store sells 8 comic books for every 3 action figures. On
Monday, they sold 32 comic books. On Tuesday, they sold 18 action
figures. What is the difference between the number of action
figures sold on Monday and Tuesday? Explain.
Answers
Answer:
Step-by-step explanation:
THE answer is 6
First Calculate the number of action figures sold on Monday:
8 comic books for every 3 action figures
32 comic books =? action figures
8 x 4 = 32
so, 3 x 4 = 12 action figures sold on Monday
next Find the difference between the number of action figures sold on Monday and Tuesday
They're asking for the difference, so you subtract
18 - 12 = 6
Hence, the difference in the number of books on Monday and Tuesday is 6
1. Amello has $25 to spend on maceuo this week. She loves lipstick och lostics . tube costs $4. What is the monimum number of lost'oks that she can
look at the pictures
one step inequality word problems
Answers
Answer:
1. 4x ≤ 25
⇒ x ≤ 6.25
2. x + 4 < 25
⇒ x < 21
3. x + 4 ≥ 25
⇒ x ≥ 21
4. 4 + x ≤ 25
⇒ x ≤ 21
Step-by-step explanation:
1. 4x ≤ 25
⇒ x ≤ 6.25
2. x + 4 < 25
⇒ x < 21
3. x + 4 ≥ 25
⇒ x ≥ 21
4. 4 + x ≤ 25
⇒ x ≤ 21
add.
(-5x^4+6x^3-43)+(6x^5-x^2+12x-12)
Answers
5
x
4
+
6
x
3
+
6
x
5
−
x
2
+
12
x
−
31
A normal distribution (X) has a mean of 100 and a standard deviation of 10.
What is the x value that is the third quartile for this distribution?
Round your answer to the first decimal position.
Answers
The x value for the third quartile for this distribution is 106.8
Z score
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
where μ is the mean, x = raw score and σ is the standard deviation.
Given μ = 100, σ = 10.
The third quartile correspond with a z score of 0.675, hence:
0.675 = (x - 100) / 10
x = 106.8
The x value for the third quartile for this distribution is 106.8
Find out more on Z score at: https://brainly.com/question/25638875
Select the correct answer.
What is the solution for x in the equation?
-4 + 5x − 7 = 10 + 3x − 2x
A. x = 21/4
B. x = 4/21
C. x = 4/13
D. x = 13/4
Answers
Answer:
Its A x=21/4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
A triangle has sides with lengths of 2 feet, 4 feet, and 5 feet. Is it a right triangle?
Answers
Answer:
No
Step-by-step explanation:
it is not right triangle because when we use Pythagoras theorem by using these side
not satisfied
Answer:
It is not a right triangle.
Expand the expression.
log(7x3y)
Answers
Answer:
log 7 + 3log x + log y
Step-by-step explanation:
log(7x³y) = log 7 + log x³ + log y = log 7 + 3log x + log y
Answer:Expand log4(x3)log4(x3) by moving 33 outside the logarithm.log4(7)+3log4(x)+log4(y)
4) Rotation: 90° ccw about the origin
Answers
Answer:
Graph attached
Step-by-step explanation:
Counterclockwise rule: (x, y) to (-y, x)
Hope this helps!
A container holds 62 cups of water. How much is this in gallons?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answers
Answer:
3.875
Step-by-step explanation:
I just kinda know I'm good with cups and gallons
Please help me out.
Answers
Answer:
a) y = 10x +500
b) $500
c) $15 for 100; $10.50 for 1000
Step-by-step explanation:
a)We assume the given "cost per unit" is the variable cost per unit. The total cost (y) for x units, given some fixed cost (b), is ...
y = 10x +b
For 100 units, this is ...
1500 = 10(100) +b
500 = b . . . . . . . . subtract 1000
The cost function rule is ...
y = 10x +500
__
b)The fixed cost is the cost of producing 0 units:
y = 10(0) +500
y = 500 . . . . . . . the fixed cost in dollars
__
c)The average cost (ac) of producing n units is the total cost divided by n:
ac(n) = (10n +500)/n = 10 +500/n
The average cost for 100 units is
ac(100) = 10 +500/100 = 15 . . . average dollar cost for 100 units
The average cost for 1000 units is ...
ac(1000) = 10 +500/1000 = 10.50 . . . average dollar cost for 1000 units
Find the equation of the line passing through the point (2,-4) that is parallel to the line y=3x+2
Answers
Answer:
y=3x-10
Step-by-step explanation:
When you have to find a parallel line, you take the slope of the other line, so we already know y=3x+b. Then, plug in 2 and -4 as your x and y values and you get -4=3(2)+b. Then solve 3×2=6, so -4=6+b, subtract 6 from both sides, -10=b.