The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
In this exercise we must apply the definition of derivative, which is described below:
[tex]f'(x) = \lim_{x \to 0} a_n \frac{f(x+h)-f(x)}{h}[/tex] (1)
If we know that [tex]f(x) = 2\cdot x^{2}-9[/tex], then the derivative of the expression is:
[tex]f'(x) = \lim_{h \to 0} \frac{2\cdot (x+h)^{2}-9-2\cdot x^{2}+9}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} \frac{x^{2}+2\cdot h\cdot x + h^{2}-2\cdot x^{2}}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} 2\cdot x + h[/tex]
[tex]f'(x) = 4\cdot x[/tex]
The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
We kindly invite to check this question on derivatives: https://brainly.com/question/23847661
BRAINLIEST TO WHOEVER CAN ANSWER!!!!!
Students at Taft Middle School have a goal of collecting 1,000 pounds of recycling materials each month. The following table shows their results over a 6 month time period. Complete the table.
Answer:
February: +10
March: -5
April: +50
May: -25
June: -20
Step-by-step explanation:
Subtract each value in column 2 by 1000. A positive number means exceeding the monthly goal of 1000 pounds, a negative number means not achieving the goal.
is 1/4 bigger than 3/5
Answer:
No.
Step-by-step explanation:
If you plug both fractions into a calculator, you will get:
1/4 = 0.25
3/5 = 0.60
Since 25 is less than 60, 1/4 is not greater than 3/5.
Which of the following is equal to this expression? (254 * 64) 1/4
Answer:
4064
Step-by-step explanation:
254*64=16256*1/4=4064
Help me pls i need help
Answer:
I'm pretty sure it is LINEAR.
I may be wrong
Step-by-step explanation:
BRAINLIEST?
Answer:
linear
Step-by-step explanation:
the inputs are not the same.
im not exactly sure, but im taking this lesson and thats what i learned :)
I'll give brainliest and extra points if someone helps me with all the questions!!
Answer:
2x-y=0
Step-by-step explanation:
By using two points form:
[tex]\frac{y-y_{1} }{y_{2}-y_{1} }[/tex]=[tex]\frac{x-x_{1} }{x_{2}-x_{1} }[/tex]
x1=-1 , x2=2 , y1=-2 ,y2=4
Substitute the values in the formula above:
[tex]\frac{y+2}{4+2}[/tex]=[tex]\frac{x+1}{2+1}[/tex]
[tex]\frac{y+2}{6}[/tex]=[tex]\frac{x+1}{3}[/tex]
2(x+1)=y+2
2x+2=y+2
2x-y=0
If you need to ask any questions, please let me know.I need help pls help me
Answer:
$1,270
Step-by-step explanation:
let x be the total amount of ice cream sold without tax
x + (x*0.0635)=21270
1.0635x=21270
x=20,000
so the amount he needs to send to state is
21270-20000
1,270
Total cost of icecream without cost be x
[tex]\\ \sf\longmapsto x+0.0635x=21270[/tex]
[tex]\\ \sf\longmapsto 1.0635x=21270[/tex]
[tex]\\ \sf\longmapsto x=21270/1.0635=20000[/tex]
Amount to be paid
[tex]\\ \sf\longmapsto 21270-20000=1270[/tex]
4) Find the slope of the following
graph.
у
-2
o
B
Answer:
-6/13
Step-by-step explanation:
The sum of twice a numbet n, and 14 ls 30 write an equation that models this
statement. Then explain how you might use reasoning to find the value of
Answer:
2n + 14 = 30
n = 8
Step-by-step explanation:
When the question says twice a number n, that means 2 * n = 2n.
Then when it says the sum of 2n and 14, that means 2n + 14.
Then they said that the sum of 2n + 14 = 30
If you want to find the value of n, subtract 14 from both sides:
2n = 16
Then divide by 2 on both sides:
n = 8
I hope this helps!
A chessboard has 8 rows of squares with 8 squares in each row . Two players each put 16 chess pieces on the board , with each piece on its own square. How many squares are empty now? Explain your answer.
Answer:
40
Step-by-step explanation:
8x8 if 56 - 16 = 40
help me with this please!?!?!?!?!
Answer:
17/4
Step-by-step explanation:
add the fractions
Sally bought 7.8 pounds of fruit for a class party. The class ate 7 pounds of the fruit. How much fruit is left?
Answer:
0.8 pounds
Step-by-step explanation:
7.8 - 7 is 0.8
Can someone explain letter c?! From where did 13 come from there’s no 13 in the question..
Answer:
Seems correct to me. I color coded the various terms.
Step-by-step explanation:
[13x³ came by adding 9x³ and 4x³]
12x²+8x-5x+9x³+2x²+4x³(9x³+4x³)+(12x²+2x²)+(8x-5x)13x³+14x²+3xBRAINLIEST
Solve for X. Round to the nearest tenth.
Answer:
Question=Q
Q8=60.1
Q9=
Jane bought 8 packs of red bouncy balls, 4 packs of yellow bouncy balls, and 4 packs of green bouncy balls. There were 8 bouncy balls in each package. How many bouncy balls did Jane buy in all?
Answer for 87 points <3
Answer:
128
Step-by-step explanation:
8×8 = 64
8×4 = 32
8×4 = 32
64 + 32 + 32 = 128
Emilio's family is going on vacation. His mom and sister leave at
7:00 in the morning, driving an average of 45 miles per hour.
Emilio and his dad leave at 8:00. His dad drives an average of
60 miles per hour.
Will Emilio and his dad catch up to his mom and sister?
Answer:
3 hours
Step-by-step explanation:
This is an LCM of least common multiple problem. The GCF of 60 and 45 is 15 and 45/3=3. So the LCm of these 2 numbers are 60x3=180 minutes or 3 hours
Answer:
3 hours is the answer
Step-by-step explanation:
answer
need help asap MIDSEGMENTS
will give BRAINLIEST
Answer:
yyyyyyyyyyyyyyyyyyyyyyyyyyyyy
What is the measure of ZPRQ?
P
O
A. 172°
1020
B. 70°
70"
s
C. 86°
D. 1020
Answer: should be 86°, not sure.
Step-by-step explanation:
Please Help Me Solve This! I Need Help Now!
Correct Answer = Brainliest
Answer:
Switzerland tickets: $13.53
Japan tickets: $ 17.36
Step-by-step explanation:
Work out the percentage change when a price of £40 is decreased to £18
2. Explain the relationship between depression and heart disease.
Answer:
People with depression may have uncommonly sticky platelets, the tiny cells that cause blood to clot. In patients with heart disease, this can accelerate atherosclerosis (hardening of the arteries) and increase the chance of heart attack. Some studies show that treating depression make platelets less sticky again.
Answer:
People with depression may have uncommonly sticky platelets and tiny cells that cause blood to clot.
Patients with heart disease can accelerate atherosclerosis (hardening of the arteries) and increase the chance of heart attack.
For people with heart disease, depression can increase the risk of an adverse cardiac event such as a heart attack or blood clots.
Seven friends each bought a movie ticket for $14.95, popcorn for $6.99, and a drink for $2.25. How much did the friends spend in all?
Answer:
$169.33
Step-by-step explanation:
Each of the friends spent ...
$14.95 +6.99 +2.25 = $24.19
The seven friends together spent ...
7($24.19) = $169.33
Work out the shaded area of this shape.
Answer:
73
Step-by-step explanation:
What type of angle is 90 degrees
Answer:
Obtuse or right angle
Step-by-step explanation:
Also you should stop making your question worth so many points
James deposited $575 into a bank account that earned 5.5% simple interest each year. No money was deposited into or withdrawn from the account.
How much money was in the account after 212 years?
Round your answer to the nearest cent.
Answer:
Answer:it's 654.06I just did the test
Step-by-step explanation:
How many students read in 15 minutes between 8am and 9am
10;11;15;15;17;22;11 what is the mode of this data?
Answer:
11, 15
Step-by-step explanation:
They both occur two times so they are tied for mode so both numbers is the answer
12y=360 solve for y
Answer:
30
Step-by-step explanation:
divide both sides by 12 to find y
12y / 12 = y
360 / 12 = 30
therefore y = 30
- Andy wants to rent a one-bedroom apartment in Green Acres. The apartment has a monthly rent of
$1,425. He must pay a $150 application fee, a security deposit that is equal to one month's rent and must
also
pay the last month's rent. His broker charges 5% of the yearly rent. How much is he expected to pay
up front in order to rent this apartment?
Answer:
$161.88
Step-by-step explanation:
1, 425 * 0.05 = 71.25 = yearly
71.25 / 12 = 5.94 = monthly
5.94 * 2 = 11.88 = for two months
11.88 + 150 = 161.88 = the amount he is expected to pay
Tell me if I'm wrong :)
Pls Help! Will Mark Brainliest!!!
Step-by-step explanation:
it is a bit unclear to me how the cups are stacked on each other.
are we building a pyramid or is it really just one line of cups stacked into each other ? the equation suggests the latter. so, I will continue with that assumption.
then each additional cup really adds only the height of the rim to the total height of the cup tower.
so, we want to find out for what smallest x is the equation delivering as y value 32,400 or more.
32,400 = 2.4x + 13.6
let's get rid of the decimals by multiplying everything by 10.
324,000 = 24x + 136
323,864 = 24x
x = 323,864/24 = 13,494.33333...
so, we need 13,495 cups to reach its height (just rounding it to 13,494 would still leave a tiny gap, so we need the 13,495th cup - there is no way to reach the height exactly).
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
w>-20
Step-by-step explanation:
