The difference quotient for f(x) = 3x2 – 12 is 6x + 3h
How to determine the difference quotient?The function is given as:
f(x) = 3x^2 – 12.
Calculate f(x + h)
f(x + h) = 3(x + h)^2 – 12
The difference quotient is then calculated using:
[tex]f'(x) = \frac{f(x + h) - f(x)}{h}[/tex]
This gives
[tex]f'(x) = \frac{3(x + h)^2 - 12 - 3x^2 + 12}{h}[/tex]
Evaluate the difference
[tex]f'(x) = \frac{3(x + h)^2- 3x^2}{h}[/tex]
Expand
[tex]f'(x) = \frac{3x^2 + 6xh + 3h^2- 3x^2}{h}[/tex]
Evaluate the difference
[tex]f'(x) = \frac{6xh + 3h^2}{h}[/tex]
Evaluate the quotient
f'(x) = 6x + 3h
Hence, the difference quotient for f(x) = 3x2 – 12 is 6x + 3h
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Camila is driving on a long road trip. She currently has 10 gallons of gas in her car. Each hour that she drives, her car uses up 1.75 gallons of gas. How much gas would be in the tank after driving for 3 hours? How much gas would be left after tt hours?
Answer:
gas left after 3 hours = 4.75
gas left after t hours = 10-1.75t
Step-by-step explanation:
According to DeltaMath "Since Camila uses 1.75 gallons of gas per hour, she would use 1.75 x 5, or 5.25 gallons in 3 hours. Since Camila started with 10 gallons in the tank, the amount of remaining after 3 hours would be 10-5.25 or 4.75 gallons. "
for his art project, dorian is using square tiles
Um okay? And then what happened?
Write the relation as a set of ordered palls.
4
a. ordered pairs: {(4, -2), (0, 0), (2, 4)}
b. ordered pairs: {(-2, 4), (0, 0), (4, 2)}
ordered pairs: {(-2, 4), (0, 0), (2, 4)}
d. ordered pairs: {(4, -2), (0, 0), (4, 2)}
C.
Answer:
it would be C because of all thing that are macthing
If 8 is an element in the domain of f(x) 5x-25 over 4, what is the corresponding element in the range?
Answer:
677658
Step-by-step explanation:
4765
Answer:
[tex]\frac{15}{4}[/tex] = 3.75
Step-by-step explanation:
Substitute x = 8 into f(x) for corresponding value in the range, that is
f(8) = [tex]\frac{5(8)-25}{4}[/tex] = [tex]\frac{40-15}{4}[/tex] = [tex]\frac{15}{4}[/tex] = 3.75
Can someone answer this question please?
Answer:
-5.62
Step-by-step explanation:
I made them all into Improper Fractions, then I made them into decimals, then I added them.
In scientific notation
[tex](3.9 \times {10}^{ - 3}) + 0.0026 = [/tex]
[tex](39 \times {10}^{ - 4}) + (26 \times {10}^{ - 4}) = [/tex]
[tex]39 \times {10}^{ - 4} + 26 \times {10}^{ - 4} = [/tex]
[tex]Factoring \: {10}^{ - 4} [/tex]
[tex] {10}^{ - 4} \times (39 + 26) = [/tex]
[tex]65 \times {10}^{ - 4} = 6.5 \times {10}^{ - 3} [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
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Which graph represents the equation y = 3/4x – 3 ?
Answer:
899799.9099
Step-by-step explanation:
78877.9988999.99
Answer:
The first one A
Step-by-step explanation: I did my best
what is the total edge length of a cube with a side length of 3
Answer:
72 units
Step-by-step explanation:
a cube has the same length as each edge so because there are 6 sides with 4 edges, and each edge has a length of 3 units, 3 units * 4 edges * 6 sides = 12 total edge length per side * 6 sides = 72 total edge length
Need help on this ASAP
how many milliliters in 9 liters
Answer:
9000 milliliters are in 9 liters
Step-by-step explanation:
multiply the volume value by 1000
Answer:
9 meters , i believe so-
Step-by-step explanation:
Please find the value of x with explaination
the value of x is 36. is it right or wrong?
5x+5y are like terms and can be added together to simplify to 10xy
A.True
B.False
Step-by-step explanation:
B. False
they cannot be written as 10xy but only in 5x+5y
x and y will only become together if they are multiplied
as you can see there's a plus sign
you can add them if it is in 5x+5x (or) 5y+5y but never as in 5x+5y
Expand the logarithm fully using the properties of logs. Express the final answer in
terms of log .
log 6x^4
Answer:
P=log(2)+log(3)+4.log(x)
Step-by-step explanation:
To solve the problem, we need to recall the following properties of the logarithms:
[tex]log(x.y)=log(x)+log(y)[/tex]
[tex]log(x^y)=y.log(x)[/tex]
We have the expression:
[tex]P=log(6x^4)[/tex]
Factor 6=2*3:
[tex]P=log(2\cdot 3x^4)[/tex]
Apply the property of the product:
[tex]P=log(2)+log(3)+log(x^4)[/tex]
Now apply the property of the exponent:
P=log(2)+log(3)+4.log(x)
What property is 4(x+5)=(x+5)4
Answer:
Distributive propery
Sandy purchased a dining room set for $1,140 using a 12-month deferred payment plan with an interest rate of 26.78%. She did not make any payments during the deferment period. What will the total cost of the dining room set be if she must pay off the dining room set within two years after the deferment period? (2 points) a $1,140.00 b $1,485.70 c $1,935.12 d $2,902.68
Answer: C.) $1,935.12
Step-by-step explanation:
Using the deferred annuity calculator :
Principal amount = 1140
Interest (r) = 26.78% = 0.2678
Period of payment = 2 years, compounded monthly, n = 24
Using the deferred annuity calculator ; Total balance = $1936.24
Hence, the closest cost in the option is $1,935.12
A tanker truck fills the gas station’s reservoir at the rate of 1212 gallons per minute.
If the reservoir was empty and it is now 35 gallons full, how long has the tanker been filling the reservoir?
Round your answer to the nearest tenth. Enter your answer in the box.
how meny minutes
Answer:
1.73 seconds ( 0.0289 minutes : 2.89 × 10^-2 minutes)
Step-by-step explanation:
35/(1212/60) = 1.73267327 ≈ 1.73 seconds.
1.73267327/60 = 0.0288778878 ≈ 0.0289 = 2.89 × 10^-2 minutes
Students were asked to solve the following equation:
-5x+2=-13
Answer:
3
Step-by-step explanation:
Step 1:
- 5x + 2 = - 13 Equation
Step 2:
- 5x = - 15 Subtract 2 on both sides
Step 3:
x = - 15 ÷ - 5 Divide
Answer:
x = 3
Hope This Helps :)
Can anybody please help me out on question 4? I would really appreciate it so much. Please and thank you .
Step-by-step explanation:
b im not sure but my answer is b
A boat can hold at most 1,000 pounds. If there is 300 pounds of equipment plus 25-pound boxes, what is the maximum number of boxes the ship can carry?
Answer:
26
Step-by-step explanation:
I think dont know
Please help me ASAP.
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Type the correct answer in the box.
Consider this expression,
(6 – 4i)(6 – 4i) – 3(7 – 11i)
What is this expression written in the form a + bi, where a and b are rational numbers?
Answer:
-1-15i
Step-by-step explanation:
Plato
Toni is a plumber she charges 30$ to come to a house and 20 $ for every hour she works write an equation to model the situation
Answer:
y=20x+30
Step-by-step explanation:
30 is the cost she charges to come to the house, 20 is the amount she charges for every hour she is there
Step-by-step explanation:
the answer is y=20x+30
What is the missing length of this rectangle?
Answer:
Answer is 11. You have to add the 4 and 7.
In rectangles all sides are either perpendicular or parallel, so you know that the missing side is equal to the bottom 2 horizontal sides added up.
4 + 7 = 11.
The missing side is 11cm.
What is the value of 3.5 (11) + 1.9 (11) + 1.6 (11)?
O 40
O 77
O 4,096
O 9,317
if you can, help please thank you! :)
Multiple choice Inqualities.
Answer:
y=8.35
Step-by-step explanation:
if substituted for y
8.35/2.7 is 3.0925
which IS less than or equal to 3.5
Bobby has $150 in his account and saves $100 per week. Erick has $350 in his account and saves $50 a week. Choose the equation that you would use to find out how many weeks it would take for them to have the same amount in each account.
Answer: It will take him 20 weeks cuz calculating it
Step-by-step explanation:
6x+8=x-2 what is the answer to this
Answer:
x= -2
Step-by-step explanation:
6x+8=x-2
6x-x= -2-8
5x= -10
x= -10/5
x= -2
The next two terms of the sequence 4,7,10,13 are?
Answer:
16,16
Step-by-step explanation:
All you have to do is add 3 every time. i hope it helps
Answer:
16, 19
Step-by-step explanation:
add 3 each term
Using the graphing calculator to
evaluate these expressions:
-12-27=
3:04-(
2
3
3.2
:)
-22.33
10 -0.667
9.7
11,2
Answer:
12 * 27 =
✔ -324
8 +
5
3
* 0.4 − (
2
3
− 3.2 ) =
✔ 11.2
Step-by-step explanation:
Evaluating expressions involve solving and simplifying the expression
The result of [tex]\mathbf{-12 - 27}[/tex] is -39The result of [tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2)}[/tex] is 9.4The expressions are given as:
[tex]\mathbf{(a)\ -12 - 27}[/tex]
[tex]\mathbf{(b)\ 8 + 53 * 0.4 - ( 23-3.2)}[/tex]
[tex]\mathbf{(a)\ -12 - 27}[/tex]
Subtract 27 from -12
[tex]\mathbf{-12 - 27 = -39}[/tex]
Hence, the result of [tex]\mathbf{-12 - 27}[/tex] is -39
[tex]\mathbf{(b)\ 8 + 53 * 0.4 - ( 23-3.2)}[/tex]
Start by evaluating the expression in brackets
[tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2) = 8 + 53 * 0.4 - 19.8}[/tex]
Evaluate the products
[tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2) = 8 + 21.2 - 19.8}[/tex]
Add and subtract
[tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2) = 9.4}[/tex]
Hence, the result of [tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2)}[/tex] is 9.4
Read more about evaluating expressions at:
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For field trip the school bought 47 sandwiches for $4.60 each and 39 bags of chips for $1.25 each how much was spent on sandwiches
Answer: 216.2 + 48.75 = 264.95
Step-by-step explanation:
Multiply the amount of sandwiches by the cost.
47 * 4.60 = 216.2
Multiply the amount of chips by the cost.
39 * 1.25 = 48.75
Add them the totals together.
216.2 + 48.75 = 264.95