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
Luda [366]
3 years ago
8

Given (x)=-x²+2x,determine F'(x) using first principle

Mathematics
1 answer:
mote1985 [20]3 years ago
6 0
Hello,
which principle?

f(x)=-x²+2x
==>f'(x)= -2x+2

You mean maybe this

\lim_{h \to 0} \frac{f(x+h)-f(x) } {h}


f(x+h)=-(x+h)²+2(x+h)= -(x²+2hx+h²)+2x+2h
f(x)=-x²+2x

\lim_{h \to 0} \frac{f(x+h)-f(x) } {h}=\lim_{h \to 0}\frac{-2hx-h^2+2h}{h}=\lim_{h \to 0}\frac{-2x-h+2}{1}=-2x+2

You might be interested in
Suppose you round 43,257,529 to43,300,000.to what place value did you round the number
Arlecino [84]
100,000ths place. You are welcome
8 0
3 years ago
How many times as much does each item cost in 2010 as in 1960 is the movie tix it tickets in 1960 costed $.75 in in 2010 cost 9.
Harrizon [31]
13 times i think
You just divide 9.75 by .75 and you get 13
8 0
3 years ago
Read 2 more answers
What is one of the solutions to the following equations? y2+x2=53<br> Y-x=5
Olenka [21]
(1)  y² + x² = 53
(2)  y - x = 5 ⇒ y = x + 5

subtitute (2) to (1)

(x + 5)² + x² = 53      |use (a + b)² = a² + 2ab + b²

x² + 2x·5 + 5² + x² = 53

2x² + 10x + 25 = 53     |subtract 53 from both sides

2x² + 10x - 28 =0     |divide both sides by 2

x² + 5x - 14 = 0

x² - 2x+ 7x - 14 = 0

x(x - 2) + 7(x - 2) = 0

(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7

subtitute the values of y to (2)

for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3

Answer: x = 2 and y = 7 or x = -7 and y = 3
4 0
3 years ago
Need help! Not sure what exactly is going on here!
marishachu [46]

Answer:

idk

Step-by-step explanation:

4 0
3 years ago
Liam is making barbecue ribs over a fire. The internal temperature of the ribs when he starts cooking is 40°F. During each hour
Soloha48 [4]

Answer: You need to wait at least 6.4 hours to eat the ribs.

t ≥ 6.4 hours.

Step-by-step explanation:

The initial temperature is 40°F, and it increases by 25% each hour.

This means that during hour 0 the temperature is 40° F

after the first hour, at h = 1h we have an increase of 25%, this means that the new temperature is:

T = 40° F + 0.25*40° F = 1.25*40° F

after another hour we have another increase of 25%, the temperature now is:

T = (1.25*40° F) + 0.25*(1.25*40° F) = (40° F)*(1.25)^2

Now, we can model the temperature at the hour h as:

T(h) = (40°f)*1.25^h

now we want to find the number of hours needed to get the temperature equal to 165°F. which is the minimum temperature that the ribs need to reach in order to be safe to eaten.

So we have:

(40°f)*1.25^h = 165° F

1.25^h = 165/40 = 4.125

h = ln(4.125)/ln(1.25)  = 6.4 hours.

then the inequality is:

t ≥ 6.4 hours.

4 0
3 years ago
Other questions:
  • If you eat one quarter of a pizza and your dog eats one eighth of it, what percent is left over?
    15·1 answer
  • (4+5)(4-51) =<br> please help i don’t feel like doing math rn
    8·2 answers
  • SOLVE 5 and 6 for me.
    13·1 answer
  • A family spent $93 at a carnival.
    15·2 answers
  • Number 8 please help look at the picture
    5·1 answer
  • Explain how you can use the terms from the binomial expansion to approximate 0.985.
    7·1 answer
  • Equation A: y = −x + 5
    11·1 answer
  • PLEASE HELP ME ON THIS QUESTION ASAP!!!!
    11·1 answer
  • Divide.<br><br> 24.7 ÷ 5.2 Enter your answer in the box.
    6·2 answers
  • Solve the system by substitution. 2x=y-10 2x+7=2y The solution is ( , ).
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!