Help please! Find the area of the shape below. (Show work)

Answer:

See Below.

Step-by-step explanation:

We are given the graph of y = f'(x) and we want to determine the characteristics of f(x).

Part A)

f is increasing whenever f' is positive and decreasing whenever f' is negative.

Hence, f is increasing for the interval:

[tex](-\infty, -2) \cup (-1, 1)\cup (3, \infty)[/tex]

And f is decreasing for the interval:

[tex]\displaystyle (-2, -1) \cup (1, 3)[/tex]

Part B)

f has a relative maximum at x = c if f' turns from positive to negative at c and a relative minimum if f' turns from negative to positive to negative at c.

f' turns from positive to negative at x = -2 and x = 1.

And f' turns from negative to positive at x = -1 and x = 3.

Hence, f has relative maximums at x = -2 and x = 1, and relative minimums at x = -1 and x = 3.

Part C)

f is concave up whenever f'' is positive and concave down whenever f'' is negative.

In other words, f is concave up whenever f' is increasing and concave down whenever f' is decreasing.

Hence, f is concave up for the interval (rounded to the nearest tenths):

[tex]\displaystyle (-1.5 , 0) \cup (2.2, \infty)[/tex]

And concave down for the interval:

[tex]\displaystyle (-\infty, -1.5) \cup (0, 2.2)[/tex]

Part D)

Points of inflections are where the concavity changes: that is, f'' changes from either positive to negative or negative to positive.

In other words, f has an inflection point wherever f' has an extremum point.

f' has extrema at (approximately) x = -1.5, 0, and 2.2.

Hence, f has inflection points at x = -1.5, 0, and 2.2.

9514 1404 393

Answer:

  25 ft

Step-by-step explanation:

The volume is given by the formula ...

  V = LWD . . . . . the product of length, width, depth

Solving for L, we have ...

  L = V/(WD) = (1700 ft³)/((17 ft)(4 ft)) = 100/4 ft = 25 ft

The length of the pool is 25 ft.

Answer:

Step-by-step explanation:

Answer:

Top left option

Step-by-step explanation:

There are a total of 10 boxes so

x + y = 10

The question states that x = 20 pound boxes and y = 30 pound boxes

20x + 30y = 280

The dimensions of the rectangle will be 3 cm. and 16 cm..

Solution:

First, calculating the area of the rectangle, based on these dimensions,

Formula for the area of a rectangle:

A=LW

A=(3)(16), or A=(16)(3)

A=48 cm²✔

So, now we know that these dimensions satisfy the area of the rectangle, but do they satisfy the perimeter of the rectangle?

Now, calculating the perimeter of the rectangle, based on these dimensions,

Formula for the perimeter of a rectangle:

P=2(L+W)

P=2(3+16), or 2(16+3)

P=2(19)

P=38 cm ✔

Now, we know that both of these dimensions satisfy both of the given conditions. So, the final answer is that the two dimensions of the rectangle are 3 cm. and 16 cm.. I hope that this answer helped you find what you were looking for. Enjoy your day, and take care.

Answer:

+1 is the answer

Step-by-step explanation:

-19-(-10)

-19+10

+1

9514 1404 393

Answer:

  A. 32

Step-by-step explanation:

The relationship between segment lengths is ...

  WT·WU = WC·WV

  14(2x +2) = 12(2x +5)

  28x +28 = 24x +60

  4x = 32

  2x = 16

Then the measure we're after is ...

  UT = WT +WU = 14 +(16 +2)

  UT = 32

Answer:

2.2 % per minute

35 minutes

Step-by-step explanation:

(0,23%) and (30, 89%)

We can find the slope

m = ( y2-y1)/(x2-x1)

    = (89-23)/(30-0)

   66/30

   =2.2 % per minute

To get to full change we need 100-23 = 77 %

77% * 1 minute/ 2.2 % =35 minutes

Answer:

2a^3 + 24ab^2

Step-by-step explanation:

yes that is the answer 100%

Answer:

2a

Step-by-step explanation:

[tex] \frac{4a + 4}{2a} \times \frac{ {a}^{2} }{a + 1} [/tex]

➡️ [tex] \frac{4(a + 1)}{2} \times \frac{a}{a + 1} [/tex]

➡️ [tex] = 2a[/tex] ✅

Answer:

i think 14.6

Step-by-step explanation:

pls mark bainlyest

Answer:

C=3

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

Since J is the midpoint, that just means that both CT and JT are going to be the same length. With that information we can create an equation and solve for x.

5x - 3 = 2x + 21

5x = 2x + 24

3x =24

x = 8

Now to find the length of CT, we will add both equations to find the total length.

5x - 3 + 2x + 21

5(8) - 3 + 2(8) + 21

40 - 3 + 16 + 21

37 + 16 + 21

53 + 21

74

Best of Luck!

Answer:

CT = 74

Step-by-step explanation:

J = the midpoint of CT

CJ = JT

5x – 3 = 2x + 21

    +3           +3

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

5x = 2x + 24

-2x   -2x

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

3x = 24

x = 8

Now, we know that CT = CJ + JT

= 5x - 3 + 2x + 21

= 7x + 18

now our x value we found was 8 right? Plug that in here.

= 7 (8) + 18

= 56 + 18

= 74

Answer: -10m + 30

Step-by-step explanation:

Given expression

(m - 3) (-10)

Expand parentheses and apply the distributive property

=m · (-10) - 3 · (-10)

Simplify by multiplication

=[tex]\boxed{-10m+30}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh,

Answer:

Step-by-step explanation:

At 8:28 exactly one hour had gone by.

To get to 8:46 you need to add on almost 20 minutes. which would bring it up to 8:48. Since you are 2 minutes short from :46 to :48, the correct number of minutes is 18  (48 - 2)

Answer: 1 hour and 18 minutes.

Answer:

Jaya is 13 years old.

Step-by-step explanation:

Let's assume Jaya's age to be x years old.

Jaya's mothers age is (3*x)+5.

3x+5=44

3x=39

x=13.

Answer:

804.25 cm³

Step-by-step explanation:

V = πr²h

V = π * (8 cm)² * 4 cm

V = 3.14159 * 64 cm² * 4 cm

V = 804.25 cm³

Answer:

25

Step-by-step explanation:

x = 5

x^2 = 5^2 = 5*5 = 25

Answer:

25

Step-by-step explanation:

5*5=25

Answer:

2nd option is correct

∠AEF and ∠FED , ∠AEG and ∠CEG

Step-by-step explanation:

1st option is a supplementary and even 3rd and 4th options

Answer:

4000 centimeters

Step-by-step explanation:

40 cm x 100 = 4000 cm

Answer:

[tex]\frac{10}{49}[/tex]

Step-by-step explanation:

There are 23 red candies, 16 blue candies and 10 yellow candies.

Which means altogether we have..

23 + 16 + 10= 49

49 candies.

To find the probability of picking a yellow piece, we know that there are 10 yellow candies out of 49 candies.

So the chances of getting a yellow piece is [tex]\frac{10}{49}[/tex]

10 YELLOW CANDIES

49 CANDIES

Hi :)

The reciprocal of 5 is 1/5.

Every number has a reciprocal except 0.

For example

5/1 is just 5 but the reciprocal of that would be 1/5.

Essentially flipping the fraction.

Answer: [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Reciprocal means the multiplicative inverse of a number. It means the numerator and the denominator which their places.

Since 5 does not have a denominator, we can keep the denominator as 1. The fraction will be [tex]\frac{5}{1}[/tex]. Now when we switch the numerator and denominator, we will get [tex]\frac{1}{5}[/tex].

Answer:

g(f(x))=x^2 + 14x + 48

Step-by-step explanation:

you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.

(g o f) (x) = g ( f(x) )

= (x+7)² – 1

= x² + 14x+49 – 1

= x² + 14x+48

If you want, (f o g ) (x) below is the solution ^_^

(f o g ) (x) = f ( g(x) )

= g(x) + 7

= x²-1 +7

= x² +6

I hope I helped you^_^

-7 x = -28

Divide both sides by -7.

x = 4