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Svet_ta [14]
3 years ago
12

Find and simplify the difference quotient f(x + 1) – f(x) for the following function.

Mathematics
2 answers:
Umnica [9.8K]3 years ago
5 0

Answer:

  • f(x + 1) – f(x) = m

Step-by-step explanation:

Let's ignore the fact that m = 0.

<u>The difference is:</u>

  • f(x + 1) - f(x) =
  • m(x + 1) + b - mx - b =
  • mx + m - mx =
  • m

So the difference is m, whatever it's value is.

ra1l [238]3 years ago
3 0

In your situation you said that

  • f(x) = mx+b
  • m=0

Putting those together, you'd have f(x) =  b because 0\cdot x+b=b.

To evaluate the difference quotient, first find each piece on it's own:

  • f(x+1) = b because f(x) = b no matter what your x-value is.
  • f(x) = b

So putting those together:

     f(x+1) - f(x) = b-b = 0

Remember that the difference quotient is basically finding the slope of something.  Since you were given that the slope is 0, the difference quotient should work out to match that.

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What is the equation of the graphed line written in standard form? 2x – y = –4 2x – y = 4 y = 2x – 4 y equals StartFraction one-
svp [43]

Answer:

The answer is "2x-y=4"

Step-by-step explanation:

Given:

2x-y=-4\\2x-y=4\\y=2x-4\\y=\frac{1}{2}(x-4)\\

The Formula of Slope:

m=\frac{y_2-y_1}{x_2-x_1}

by replacing the (2,0) and (0,-4) coordinates in the above formula:

\to m= \frac{-4-0}{0-2}\\\\ \to  m= \frac{-4}{-2}\\\\ \to  m= \frac{4}{2}\\\\ \to m= 2\\\\

if point y intercepting in x then x=0, for this the value of x= 0 and c=-4.

Equation of the line:

\to  y=mx+c

apply m and c value in the above equation:

\to  y=2x-4\\

Subtract by 2x on both sides of the equation we get:

\to  y-2x= 2x-4-2x\\\\\to  y-2x=-4\\\\\boxed{\boxed{2x-y=4}}\\\\

5 0
3 years ago
Read 2 more answers
WILL GIVE 20 points PLEASE ANSWER ITS URGENT
babunello [35]
The answer for the first blank would be 1/2 because it had been dilated down to half it's original size. I hope this helps!
8 0
3 years ago
Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question.
inn [45]

Answer:

Step-by-step explanation:

(a) MEAN = £fx/ fx (The sum of the all jerseys number/ number of jerseys)

= 680/11

= 61.8

(b) MEDIAN = The middle number when all the items are arranged either in ascending order or descending order

= 6, 14, 50, 51, 54, 68, 77, 78, 89, 94, 99

= 68

(Strike out the numbers, the middle number left is the median)

(c) MODE= (Mode implies the number with the highest frequency)

From those items, THERE IS NO MODE.

All the items (numbers) appeared once

(d) MID-RANGE:

This is the sum of the least valued number and the greatest valued number and dividee by two

Mid-range = (99 + 6) / 2

= 105/2

= 52.5

(e). The results tells us that:

The mean and median give two different interpretations of the average​ (or typical) jersey​ number, while the midrange shows the spread of possible jersey numbers

Also, pls note that the median implies the measure of the middle of the sets of jerseys number. And the mean tells us the distribution of the sets of jerseys number.

Hope this helped!

3 0
3 years ago
Assume the hold time of callers to a cable company is normally distributed with a mean of 5.5 minutes and a standard deviation o
Ierofanga [76]

Answer:

The percent of callers are 37.21 who are on hold.

Step-by-step explanation:

Given:

A normally distributed data.

Mean of the data, \mu = 5.5 mins

Standard deviation, \sigma = 0.4 mins

We have to find the callers percentage who are on hold between 5.4 and 5.8 mins.

Lets find z-score on each raw score.

⇒ z_1=\frac{x_1-\mu}{\sigma}   ...raw score,x_1 = 5.4

⇒ Plugging the values.

⇒ z_1=\frac{5.4-5.5}{0.4}

⇒ z_1=-0.25  

For raw score 5.5 the z score is.

⇒ z_2=\frac{5.8-5.5}{0.4}  

⇒ z_2=0.75

Now we have to look upon the values from Z score table and arrange them in probability terms then convert it into percentages.

We have to work with P(5.4<z<5.8).

⇒ P(5.4

⇒ P(-0.25

⇒ P(z

⇒ z(1.5)=0.7734 and z(-0.25)=0.4013.<em>..from z -score table.</em>

⇒ 0.7734-0.4013

⇒ 0.3721

To find the percentage we have to multiply with 100.

⇒ 0.3721\times 100

⇒ 37.21 %

The percent of callers who are on hold between 5.4 minutes to 5.8 minutes is 37.21

4 0
3 years ago
Please helo with thos question pleas
natta225 [31]
The sum of the opposite interior angles is equal to the exterior angle.

So,

∠CAB + ∠ACB = ∠CBD

x + 40 + 3x + 10 = 6x

4x + 50 = 6x

2x = 50

x = 25°

∠CAB = x + 40 = 25 + 40 = 65°

Hence, the answer is D.


4 0
3 years ago
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