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
guapka [62]
4 years ago
14

Can I get some help please!!

Mathematics
1 answer:
Airida [17]4 years ago
5 0

Answer:

  a.  -3

  b.  -3

Step-by-step explanation:

Fill in the function arguments and simplify.

a.

\dfrac{f(x)-f(a)}{x-a}=\dfrac{(-3x+9)-(-3a+9)}{x-a}=\dfrac{-3x+9+3a-9}{x-a}\\\\=\dfrac{-3(x-a)}{(x-a)}=-3

__

b.

\dfrac{f(x+h)-f(x)}{h}=\dfrac{(-3(x+h)+9)-(-3x+9)}{h}=\dfrac{-3x-3h+9+3x-9}{h}\\\\=\dfrac{-3h}{h}=-3

_____

<em>Comment on questions of this type</em>

Perhaps the point of this exercise is to help you understand that the average slope computed by the first expression approaches the instantaneous slope computed by the second expression. This happens when a approaches x and when h approaches zero.

In this problem, where the function is a straight line, the slope is a constant (-3), so the average slope and the instantaneous slope are the same everywhere (for all values of x, a, h).

You might be interested in
To the nearest foot, what is the radius of the Ferris wheel if you traveled 157 feet? feet
Fittoniya [83]

Answer:

50 feet

Step-by-step explanation:

on edg

6 0
4 years ago
Read 2 more answers
Solve for x. Make sure to show all your work. 21=3(x+6)
ziro4ka [17]

Answer:

1 is correct answer

Step-by-step explanation:

21 = 3(x + 6) \\ 21 = 3x + 18 \\ 21  - 18 = 3x \\ 3 = 3x \\ x =  \frac{3}{3}  \\ x = 1

hope it helped you:)

7 0
3 years ago
Read 2 more answers
The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°. Enter m∠WXZ. The measure of ∠WXZ is
Sonbull [250]
<wxz + <zxy= <wxy

<wxy= 105


105/2= 52.5

52.5 + 52.5 = 105
105 = 105

m<wxz = 52.5
4 0
4 years ago
Read 2 more answers
Helppp meeeeeee asappppppp
Juliette [100K]

Answer:

9.2

Step-by-step explanation:

So the 14 can be divided equally on both sides by the fact that the line cutting it at right angle bisects it.

Thus having 6 and 7 as the two shorter sides of a right angled triangle will help us get the radius( hypotenuse in this case) using the square root of the sum of the squares of both six and 7, the Pythagoras theory.

this leads to 9.2 as our answer

5 0
3 years ago
3 friends share 6 pounds of grapes equally. Each pound has 40 grapes.
svlad2 [7]

Answer:

60 grapes

Step-by-step explanation:

i believe it is perfectly right

PLEASE MARK ME AS BRAINLIST

4 0
3 years ago
Read 2 more answers
Other questions:
  • The following table shows the cost for 4 fruits. For example, apples cost $6, for 5 pounds.
    6·2 answers
  • there are 1800 gym members in total. 3/4 are aged 25-59, 1/5 are over 60 and the remainder are under 25 years. how many members
    11·1 answer
  • NEED HELP PLEASE!!!!!!!
    15·1 answer
  • How to solve this equation?????
    6·2 answers
  • Does anyone know this question???
    7·2 answers
  • HELP ME PLEASE!!!!!!! :(
    12·1 answer
  • What is the equation for 5x-1=3x + 2
    10·1 answer
  • Which of the following rational numbers is equal to 2 point 4 with bar over 4? twenty two over nine twenty four over nine twenty
    14·2 answers
  • Explain the steps that you would use to explain the equation -2x+10&gt;50 to solve for x.
    8·1 answer
  • There are apples, bananas, and pears in a basket. The probability of randomly picking an apple is 110. The probability of random
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!