Find f. f ''(x) = −2 + 24x − 12x2, f(0) = 7, f '(0) = 14

It is not possible to answer this question without seeing the graph. Please provide the graph or a description of the graph.

Answer:

x = - 1 , x = 19

Step-by-step explanation:

x² - 18x = 19

to complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 9)x + 81 = 19 + 81

(x - 9)² = 100 ( take square root of both sides )

x - 9 = ± \(\sqrt{100}\) = ± 10 ( add 9 to both sides )

x = 9 ± 10

then

x = 9 - 10 = - 1

x = 9 + 10 = 19

Answer:

33lbs

Step-by-step explanation:

Answer:

1.) B (Real Numbers)

2.) A

Step-by-step explanation:

Numbers of ways to distribute 10 identical cards into 3 boxes is 36

Combination is is a way of selecting items from a collection where the order of selection does not matter.

Formula of combination:

Let a x-combination of a set is a subset of x distinct elements of S. If the set has n elements, the number of x-combinations is equal to the binomial coefficient.

ⁿCₓ = n(n-1)(n-2)(n-3). . . (n-x+1) / (x-1)(x-2)(x-3) . . . .(1)

which can be written as ⁿCₓ = n! / (n-x)! x!   , when n > x

ⁿCₓ = 0 , when n < x

Where n = distinct object to choose from

C = Combination

x = spaces to fill

According to the question,

Number of identical cards : n =10

Number of box cards are being distributed : x = 3

Number of ways to distribute when no condition is given : ⁿ⁺ˣ⁻¹Cₓ₋₁

If we place one one card in each box then

Number of cards left with us = 10 - 3

= 7

Now, condition of at least one cards in each box is satisfied ,

Then total number of ways to distribute 7 cards into 3 =  ⁷⁺³⁻¹C₃₋₁

=> ⁹C₂ = 9! / (9 - 2)! 2!

=>  9×8×7! / 7!2!

=> 9×8/2

=> 9×4

=>36 ways

To know more about Combination here

https://brainly.com/question/28065038

#SPJ4

I assume you are learning about right triangle trig.

In this case, h = sin(59) * hypotenuse (have you learned about SOHCAHTOA ?)

But we don't know the hypotenuse. So we need to find it.

105 = cos(59) * hypotenuse (SOHCAHTOA again)

hypotenuse = 105 / cos(59) = 203.8 ft approximately

And then h = sin(59) * 203.8 = 174.7 ft approximately

Answer: 174.7 ft

Step-by-step explanation:

In this case, h = sin(59) * hypotenuse (have you learned about SOHCAHTOA ?)

But we don't know the hypotenuse. So we need to find it.

105 = cos(59) * hypotenuse (SOHCAHTOA again)

hypotenuse = 105 / cos(59) = 203.8 ft approximately

And then h = sin(59) * 203.8 = 174.7 ft approximately

the population of New Oxford, PA is expected to be approximately 7,010 in 2022.To solve the problem, we need to use the formula for exponential growth

what is approximately ?

"Approximately" means close to, or almost but not exactly. When we use the word "approximately" in a mathematical context, it usually means that we are giving an estimate or an approximation of a value that is not known exactly

In the given question,

To solve the problem, we need to use the formula for exponential growth:

P = P0 * (1 + r)ᵃ

where P is the final population, P0 is the initial population, r is the growth rate as a decimal, and t is the time in years.

In this case, we have P0 = 5,542, r = 0.04 (since the population is increasing by 4% each year), and t = 6 (since we want to find the population in 2022, which is 6 years after 2016). Plugging in the values, we get:

P = 5,542 * (1 + 0.04)⁶

P = 5,542 * 1.2653

P = 7,010.3

Therefore, the population of New Oxford, PA is expected to be approximately 7,010 in 2022.

To know more about exponential growth, visit:

https://brainly.com/question/12490064

#SPJ1

Answer:

The answer is

90 degrees the first one is I don't know about the rest sorry

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

5+4=9

Answer:8.95+10>115

Step-by-step explanation: wow ok

Given:

The graph of a linear inequality.

The boundary line passes through the points (0,-2) and (1,1), and the shaded region lies above the boundary line.

To find:

The inequality for the given graph.

Solution:

The boundary line passes through the points (0,-2) and (1,1), so the equation of the boundary line is:

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

\(y-(-2)=\dfrac{1-(-2)}{1-0}(x-0)\)

\(y+2=\dfrac{1+2}{1}(x)\)

\(y+2=3x\)

Subtract 2 from both sides.

\(y=3x-2\)

The boundary line is a solid line and the shaded area lies above the boundary line, so the sign of inequality must be \(\geq \).

\(y\geq 3x-2\)

Therefore, the required inequality is \(y\geq 3x-2\).

Answer:

y>3x-2

Step-by-step explanation:

.............................

The maximum area of an individual coop to be built adjacent to one another is 450 ft².

Let the length of each chicken coop be l ft and the width of each chicken coop be w ft. Since the coops are built adjacent to each other, hence,

total length = l + l = 2l and the width = w

The perimeter of the coop = 2(length + width) = 2(2l + w) = 4l + 2w

120 = 4l + 2w

w + 2l = 60

w = 60 - 2l     (1)

The area (A) = length x width

= 2l x  w

= 2l(60 - 2l)

Area = 120l - 4l²

At maximum area, dA/dl = 0, therefore:

dA/dl = 120 - 8l

120 - 8l = 0

8l = 120

length = 15 ft

putting l = 21 ft in equation 1 gives:

w = 60 - 2(15)

= 60 - 30

width = 30 ft.

The dimension of the individual coop has width of 30 ft and length of 15 ft.

Therefor, Area = length x width  = 30 x 15 = 450 ft².

Learn more about Individual coop problems:

https://brainly.com/question/22599233

#SPJ4

Answer:

20 weeks

Step-by-step explanation:

35+5=40

40/2=20

Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).

During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.

More on child development: https://brainly.com/question/6864069

#SPJ11

Answer: p = 4r + 10

Step-by-step explanation:

The price is $4 per rental, so 4*r, and there is a flat rate of $10 per month, so + 10.

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

Given the function f(x) = 1 - x, we need to determine the value of f(1), estimate f(-1), find the values of x for which f(x) = 1, estimate the value of x such that f(x) = 0, state the domain and range of f, and identify the interval on which f is increasing.

(a) To find f(1), we substitute x = 1 into the function:

f(1) = 1 - 1 = 0.

(b) To estimate the value of f(-1), we substitute x = -1 into the function:

f(-1) = 1 - (-1) = 2.

(c) To find the values of x for which f(x) = 1, we set the equation equal to 1 and solve for x:

1 - x = 1

-x = 0

x = 0.

Therefore, x = 0 is the only value for which f(x) = 1.

(d) To estimate the value of x such that f(x) = 0, we set the equation equal to 0 and solve for x:

1 - x = 0

x = 1.

Therefore, x = 1 is an estimate for which f(x) = 0.

(e) The domain of f is the set of all real numbers since there are no restrictions on the input x. The range of f is the set of all real numbers from negative infinity to positive infinity, excluding 1.

(f) The function f(x) = 1 - x is a linear function with a negative slope of -1. Since the slope is negative, the function is decreasing on the entire real number line.

Therefore, the interval on which f is increasing is empty or "∅" in interval notation.

To learn more about real numbers visit:

brainly.com/question/29052564

#SPJ11

Function f(x) approaches to ∞ as x approaches to 2 from left and from the right.

The absolute values are separated into two function given as,

                 |a|  = {  a  ,  if a≥0   and  -a  ,  if <0}

The expression that we have been given is

    f(x) = 4|x/(x^2 – 4)|

the absolute expression can split in following two ways which are

      |x/(x^2 - 4)| =  {-[x/(x^2 – 4)]  ,  if x<2       and  [x/(x^2 – 4 )]  if  x≥2}

a) Lim x -> 2-  f(x)  =  lim x -> 2-     4{-[x/(x^2 – 4)]}

                            =   lim x -> 2-    4[x/(4 - x^2 )]

                            =  4[2/(4 – 4)]

                             = 8/0

                            = ∞  (because something divide by 0 is infinite)

b)  Lim x -> 2+  f(x)  =  lim x -> 2+    4[x/(x^2 – 4)]

                             =  4[2/(4 – 4)]

                             = 8/0

                            = ∞  (because something divide by 0 is infinite)

Hence f(x) approaches to ∞ as x approaches to 2 from the left and from the right.

Learn more about limit function here : https://brainly.com/question/23935467

#SPJ9

Answer:

3250

Step-by-step explanation:

50 x 65 = 3250

Answer:

4 1/2 : 2 1/4

Divide both sides by 2 1/4

2 : 1

-------------------------------

3 months : 1 year

1 year = 12 months

3 : 12

Divide both sides by 3

1 : 4

4÷1×2 it the answer and questions

Answer:

It's also 52  If I got it wrong I'm so sorry but I'm good at angles

Step-by-step explanation:

Answer:

Step-by-step explanation:

5y+y+3+4y+2=55

10y=55-3-2

10y=50

y=50:10

y=5

QR = y+3

5+3=8

Answer:

0.8333333

Step-by-step explanation:

Answer:  7/8

-------------------

Using the theories of probability, we got that 0.0260 is the probability  of choosing 4 spades and 2 cards that are not spades and 0.1202 is the probability of choosing 2 red face cards  from a well shuffled deck of 52 playing cards..

We know a deck of 52 playing cards has  13 hearts, 13 clubs, 13 spades,

13 diamonds.

∴  The possibility that she chooses 4 spades and 2 cards that are not spades is,

= (\(^1^3C_4\)×\(^3^9C_2\))/(\(^5^2C_6\))

As from the 13 spade cards 4 are chosen, so now we are left with (52 - 4) = 48

and 2 cards that are not spades means out of 9 spades that are left after choosing 4 that is 9 will also be subtracted (48 - 9) = 39.

= (13!/(13 - 4)!×4!)×(39!/(39 - 2)!×2!)/52!/(52 - 6)!×6!

= (13!/9!×4!)×(39!/37!×2!)/(52!/46!×6!)

= (13×12×11×10)/(4×3×2)×(39×38)/2)/(52×51×50×49×48×47)/(6×5×4×3×2)

= (529815)/(20358520)

= 0.026.

Similarly, the probability of choosing 2 red face card is given by

=(\(^6C_2\)×\(^4^6C_4\))/(\(^5^2C_6\))

=[ [(6! / (2!.4!)] × [46! / (4!.42!)] ]/ [52! / (6!.46!)]

=(15×163185)/20358520

=0.1202.

Hence, the probability of choosing 4 spades and 2 cards by carrie that are not spades is 0.026 and the probability of choosing 2 red face cards by carrie is 0.1202.

To know more about probability, visit here:

https://brainly.com/question/11234923

#SPJ4

Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

Answer:

its a

plz brainlest

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

(9 divided by 3) + 4 (6 - 7) =

(9 ÷ 3) + 4 (6 - 7) =

( 3 ) + 4 ( -1 ) =               Multiply 4 by -1

( 3 )  ( -4 ) =                   Subtract

-1