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3 years ago

What is the average rate of change of f(x)=2x^2+4x-3 between x=1 and x=6

1 answer:

6 0

The ave. r. of c. of a function f(x) on the interval [a,b] is given by:

f(b) - f(a)
a.r.c. = --------------
b - a

Here f(x) = 2x^2 + 4x - 3, a = 1 and b = 6. Therefore,

f(a) = f(1) = 2(1)^2 + 4(1) - 3 = 3, and f(b) = f(6) = 2(6)^2 + 4(6) - 3 = 93

So the a. r. c. is then

93 - 3 90
a.r.c. = ---------- = --------- = 18 (answer)
6-1 5

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Quizizz 10 pts each help please WITH PIC brainiest guaranteed

lawyer [7]

Answer:

2. $-2m^4-6m^2+4m+9$

3. $-2m^4-6m^2-4m+9$

Step-by-step explanation:

In general we can write a polynomial in standard form as

$ax^n+bx^n^-^1+cx^n^-^2+...+px+q$

Given $4m-2m^4-6m^2-4m+9$

Combine the like terms: 4m and -4m

4m-4m=0

We have 4m-4m=0

So, write the remaining terms

$-2m^4-6m^2+9+0$

= $-2m^4-6m^2+9$

This is in decreasing order of powers.

Hence the answer is the standard form is

$-2m^3-6m^2+9$

But in the given options, you can choose option 2 and option 3 are in standard form.

Because they are in decreasing order of powers.

In other two options, the constants term is first and the highest power term is at the last. So, they are not in standard form.

-2m^4-6m^2+4m+9

-2m^4-6m^2-4m+9

I hope this helps you.

And please comment if I need to do corrections.

Please let me know if you have any questions.

8 0

3 years ago

Toms Toy car went 2 meters without stopping Roberts went 145 centimeters whose car went farther

r-ruslan [8.4K]

Answer:

Tom's car went further

Step-by-step explanation:

Since there are 100 centimeters in 1 meter - Roberts car went nearly 1 and a half meters or Tom's car went 200 centimeters.

6 0

3 years ago

Read 2 more answers

The total amount of money earned by all three plumbers on Monday was $1,400. On Tuesday they earned a total of $1,660, and on We

Alekssandra [29.7K]

Set of equations that can be used to calculate rate for each plumber:
2A+8B+8C = 1,400 --- (1)
4A+7B+10C = 1,660 --- (2)
3A+9B+9C = 1,660 --- (3)
------------------------------------
2*(1) - (2)
------------------------------------
4A+16B+16C = 2,800
4A+7B+10C = 1,660 -
------------------------------------
9B+6C = 1,140 --- (4)
------------------------------------
3(2) -4(3)
-----------------------------------
12A+21B+30C = 4,980
12A+36B+36C = 6,600 -
-----------------------------------
-15B-6C = -1,620 --- (5)
------------------------------------
(4) + (5)
------------------------------------
9B+6C = 1140
-15B-6C = -1620 +
-------------------------------------
-6B = -480 => 6B = 480 => B = 480/6 = 80
-------------------------------------------------------
Using (4), 9(80)+6C = 1140
720+6C = 1140 => 6C = 1140-720 = 420 => C = 420/6 = 70
------------------------------------------------------------------------------
Using (1), 2A+8(80)+8(70) = 1400
2A+640+560 =1400 => 2A = 1400-640-560 = 200 => A = 200/2 = 100
----------------------------------------------------------------------------------------------
The rates are:
A = $100
B = $80
C = $70
--------------------------------
On Thursday, number of calls: A = 4 hrs, B = 6 hrs, C = 3 hrs
Money earned = 4*100+6*80+3*70 = $1,090

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3 years ago

Read 2 more answers

7f+g=5 solve for g? It's very difficult

Vika [28.1K]

In this case 'g' would be 5 - 7f

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3 years ago

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Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

7nadin3 [17]

Answer: