1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Grace [21]
3 years ago
15

(1 point) For the equation given below, evaluate ′ at the point (−1,2). (5−)^4+4^3=2433. ′ at (−1,2) =

Mathematics
1 answer:
ryzh [129]3 years ago
6 0

Answer:

\dfrac{343}{71}

Step-by-step explanation:

Given the equation

(5x-y)^4+4y^3=2433

Find the derivative:

((5x-y)^4+4y^3)'=(2433)'\\ \\4(5x-y)^3\cdot (5x-y)'+4\cdot 3y^2\cdot y'=0\\ \\4(5x-y)^3\cdot (5-y')+12y^2y'=0

Substitute

x=-1\\ \\y=2,

then

4(5\cdot (-1)-2)^3\cdot (5-y')+12\cdot 2^2\cdot y'=0\\ \\4(-5-2)^3(5-y')+48y'=0\\ \\4\cdot (-7)^3\cdot (5-y')+48y'=0\\ \\-1,372(5-y')+48y'=0\\ \\-6,860+1,372y'+48y'=0\\ \\1,420y'=6,860\\ \\y'=\dfrac{6,860}{1,420}=\dfrac{686}{142}=\dfrac{343}{71}

You might be interested in
Taylor does jumping jacks at a rate of 50 jumping jacks per minute. If Taylor completes her jumping jacks at a constant rate and
Viktor [21]

Answer:

3 minutes

Step-by-step explanation:

150/50

3 0
3 years ago
Need help with this question
Alenkasestr [34]

Answer: Well you would have to look at the options in the drop down and then find the terms and others

Step-by-step explanation:

8 0
3 years ago
A sample with which of these variances has a standard deviation that is greater than the variance
KIM [24]
Hello.

The answer is 

C.0.5 

the standard is .50 and all of the other options are larger so it would be c.

Have a nice day
8 0
3 years ago
Read 2 more answers
The formula A=P(1+r)^2 gives the amount A in dollars that P dollars will grow to in 2 years at interest rate R (where r is given
Likurg_2 [28]
P=presne amount=5000
A=furutre amount which you want to be 5304.50

solve for r

5304.50=5000(1+r)^2
divide both sides by 5000
1.0609=(1+r)^2
sqrt both sides (remember to get positive and negative roots)
+/-1.03=1+r
minus 1 both sides
+/-1.03-1=r

+1.03-1=r=0.03=3%
-1.03-1=r=-2.03=false, no negative percents

answer is 3%
8 0
3 years ago
What is the equation for a line that passes through the points (8,2) and (-7,2)
TiliK225 [7]

Answer:

y = 0x + 2

Step-by-step explanation:

Find the slope.

Slope = <u> y2 - y1</u>

              x2 - x1

Plug in the points.

Slope =    <u>2 - 2</u>         =   <u>0</u>

                -7 - 8            -15

Pick a point to plug into the y = mx + b formula

I picked (8,2)

Now plug in the point and slope.

(Your teacher might prefer you to use 0/-17, but it can be simplified to 0, so I'll just use that.)

Equation: (2) = 0(8) + b

                 2  = 0 + b

                 2 = b  (b = 2)

Now put your slope and the y-intercept into the equation, and it will be:

y = 0x + 2

It's a bit hard to show on keyboard, so I hope you understand.

5 0
3 years ago
Other questions:
  • Hpw to find exponential decay equation of radioaxtive subsrance
    9·1 answer
  • Is -2.75 an integer?
    14·2 answers
  • For the most recent year available, the mean annual cost to attend a private university in the United States was $20,307. Assume
    7·1 answer
  • Which is longer 2 feet or 30 inches
    5·2 answers
  • Combine like terms, need help ASAP
    7·1 answer
  • The fifth root of x to the fourth power times the fifth root of x to the fourth power
    7·2 answers
  • 2b-m=5 what is the solution for m
    15·1 answer
  • Write the equation of the line in slope-intercept form.
    15·2 answers
  • Which of the following shows an integer and its opposite?
    13·1 answer
  • Please answer what type of graph they are too.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!