HELP PLEASE
What is (are) the x intercept(s) of the function graphed above?
-4
-14 and 4.5
-5,1, and 4
-4, -1 and 5

triangle JKL is congruent to triangle TRS

The amount of rainfall is an illustration of inverse functions, and rates.

The function is given as: R = f(t)

(a) Interpret f(6) = 4.8

This means that:

The amount of rainfall at 6 seconds is 4.8 cm

(b) Interpret f'(6) = 0.5

f'(6) represents the rate of the function

So, this means that:

The rate at which rain falls at 6 seconds is 0.5 cm per second

(c) Interpret f^-1(5) = 14

f^-1(6) represents the inverse function

So, this means that:

The time at which 5 cm of rain falls, is 14 seconds

(d) Interpret f^-1'(5) = 1.5

f^-1'(5) represents the rate of the inverse function

So, this means that:

The rate of time when 5 cm of rain falls is 1.5 seconds per cm

Read more about functions, inverse and rates at:

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Answer:

Step-by-step explanation:

Correct choice is D

Answer:

D. 25x⁴ + 30x³ + 29x² + 12x + 4

Step-by-step explanation:

(5x² + 3x + 2)² =

(5x² + 3x + 2)(5x² + 3x + 2) =

5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =

25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 =

25x⁴ + 30x³ + 29x² + 12x + 4

Answer:

32.5

Step-by-step explanation:

order the numbers) 30, 31, 32, 32, 33, 34, 36, 37

cancel the numbers from each side to the middle) 32 and 33

add the values together and divide by two) [32+33] divide by 2=65/2=32.5

Answer:

1,3,4

Step-by-step explanation:

hope this helped

Step-by-step explanation:

The coordinates of the rotated triangle is A' ( -1, -1 ) , B' ( -3 , -2 ) , C' ( -2 , 2 )

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ABC

Now , the coordinates of the triangle ABC is

The coordinate of A = A ( 1 , 1 )

The coordinate of B = B ( 3 , 2 )

The coordinate of C = C ( 2 , -2 )

Now , on rotating the triangle ABC by 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

Substituting the values in the equation , we get

The rotated triangle will have the coordinates A'B'C'

The coordinate of A' = A' ( -1 , -1 )

The coordinate of B' = B' ( -3 , -2 )

The coordinate of C' = C' ( -2 , 2 )

Hence , the coordinates of the triangle is A' ( -1, -1 ) , B' ( -3 , -2 ) , C' ( -2 , 2 )

To learn more about rotation click :

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Step-by-step explanation:

Okay so, let's turn these into decimals first (rounded to nearest 2 thousandths).

2/3 = 0.66666 (repeating), to the nearest 2 thousandths would be 0.66.

-2 1/4 = -9/4 = -2.25

-1 1/2 = -3/2 = -1.5

then we set up the problem

0.66 × -2.25 × -1.5 = 2.2275 rounded 2.22 as an improper fraction 111/50 and that cannot be simplified any smaller.

Check the picture below.

Answer:

n = 100

Step-by-step explanation:

25 + -100 = 25 - n

=> -100 = -n

=> n = 100

Hoped this helped.

[tex]25-100 = 25 -n\\\\\implies -100 = -n\\\\\implies n = 100[/tex]

Answer:

61 cents

Step-by-step explanation:

We can create 2 equations.

5C + (1)S = 20

2C+ 3S = 21

We can alter the first equation below

S = 20 - 5C

Now we replace S with 20 - 5C into the second equation as shown

2C + 3(20 - 5C) = 21

Simplify:

2C + 60 - 15C = 21

Combine Like Terms:

-13C = -39

C = 3

Now we can calculate S

S = 20 - 5(3)

S = 5

12(3) + 5(5) = 36+25 = 61

Answer:

7

Step-by-step explanation:

let x be the number

3x + 11 = 32

3x = 21............subtract both sides by 11

x = 7................divide both sides by 3

Answer:

Expression-

3×r+11=32

r=7

Step-by-step explanation:

I have run this answer the calculator a million times so trust me on this one

Answer:

every 5 bun packs : 4 hotdog meat pack

5:4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

[tex]\sqrt[3]{64}[/tex] = [tex]\sqrt[3]{4*4*4}[/tex]=4

Answer:

width of rectangle = 2R = (200/π) = 400/π meters

length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters

Step-by-step explanation:

The distance around the track (400 m) has two parts:  one is the circumference of the circle and the other is twice the length of the rectangle.

Let L represent the length of the rectangle, and R the radius of one of the circular ends.  Then the length of the track (the distance around it) is:

Total = circumference of the circle + twice the length of the rectangle, or

         =                    2πR                    + 2L    = 400 (meters)  

This equation is a 'constraint.'  It simplifies to πR + L = 400.  This equation can be solved for R if we wish to find L first, or for L if we wish to find R first.  Solving for L, we get L = 400 - πR.

We wish to maximize the area of the rectangular region.  That area is represented by A = L·W, which is equivalent here to A = L·2R = 2RL.  We are to maximize this area by finding the correct R and L values.

We have already solved the constraint equation for L:  L = 400 - πR.  We can substitute this 400 - πR for L in

the area formula given above:    A = L·2R = 2RL = 2R)(400 - πR).  This product has the form of a quadratic:  A = 800R - 2πR².  Because the coefficient of R² is negative, the graph of this parabola opens down.  We need to find the vertex of this parabola to obtain the value of R that maximizes the area of the rectangle:        

                                                                   -b ± √(b² - 4ac)

Using the quadratic formula, we get R = ------------------------

                                                                            2a

                                                   -800 ± √(6400 - 4(0))           -1600

or, in this particular case, R = ------------------------------------- = ---------------

                                                        2(-2π)

            -800

or R = ----------- = 200/π

            -4π

and so L = 400 - πR (see work done above)

These are the dimensions that result in max area of the rectangle:

width of rectangle = 2R = (200/π) = 400/π meters

length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters

Answer:

13:7

Step-by-step explanation:

This ratio would be 13 laptop computers for every 7 desktop computers; 13:7

Answer:

  16^25

Step-by-step explanation:

The applicable relation is ...

  (a^b)^c = a^(bc)

  2^100 = 16^x = (2^4)^x = 2^(4x)

Equating exponents, we have ...

  100 = 4x

  25 = x

Then 2^100 = 16^25.

9514 1404 393

Answer:

  A = 9

Step-by-step explanation:

Beyond the first few primes, all prime numbers end in one of the odd digits, 1, 3, 7, or 9. We can reduce this list by using a couple of simple divisibility rules.

The sum of the digits is 2+0+2+1+0+A = A+5. The number will be divisible by 3 if A+5 is divisible by 3. That will be the case for A=1 and A=7.

The sum of odd digits is A+1+0 = A+1. The sum of even digits is 0+2+2 = 4. When these sums are equal, the number is divisible by 11. That will be the case for A=3.

So, we have ruled out all digits except 9. If the number is prime it must be ...

  202109

  A = 9

_____

Additional comment

To make sure the number is prime, we would need to check divisibility by all primes less than √202109 ≈ 449.

Answer: 9

the answer is 9 because if i root 202109 i get about 446 and if its decimal it prime

Answer:

b=2/3, b=10/3

Step-by-step explanation:

first equation

6-3b=4

6=4+3b

3b=2

b=2/3

second equation

6-3b=-4

10=3b

b=10/3

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Answer:

In the graph locate the point (3,0) and draw a line parrallel to Y-axis passing through (3,0) .

Then your line will cut the graph of f(x) at some point, that point's y-coordinate will be your value of f(3).

Step-by-step explanation:

Hope it helps!

Answer: (x - y) + 5

Step-by-step explanation: Difference of two numbers means subtraction so we know its x - y. Then, we need five more so addition which means (x - y) + 5.

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Answer:

100 bags

Step-by-step explanation:

You're going to want to multiply each amount of pounds the bags are by two. So 30 × 2 is 60. 15 × 2 = 30. 5 × 2 = 10.

60 + 30 = 90

90 + 10 = 100                            (BRAINLIEST PLEASE OvO)

Answer:

179.6 (Estimated)

Step-by-step explanation:

5,924 ÷ 33 = 179.6 (Estimated)

Hoped this helped.

Answer:

5,924 ÷ 33 = 179.6 (in estimated form)

Step-by-step explanation:

5,924 divided by 33 equals 179.515151515.

Since 179.515151515 is not in estimated form, this can't be the correct answer.

Since we see that 51 is repeating, this allows us to determine whether we can round this up or not.. And we can!

179.515151515 → 179.6

Since 51 was repeating, we could round it up.

Therefore, 179.6 is your final answer.

Hope this helps! :D

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Answer: y-intercept would be (0,-1/3)

Step-by-step explanation:

I might be wrong

2,520

Estimate 627 to 630

3.73's closest estimate is 4

So, 630*4=2,520

Answer:

21

Step-by-step explanation:

7x, x=3. Plug x in as 3. 7x3=21.

Answer:

x < 5

Step-by-step explanation:

[Given] 3x + 5.5 < 20.5

[Subtract 5.5 from both sides] 3x < 15

[Divide both sides by 3] x < 5

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The answer is : -4/15

Answer:

-4/15

Step-by-step explanation:

slope is simply the rise over the run which is the change in y over the change in x.

( (y_2) - (y_1) ) / ( (x_2) - (x_1) )

if you plug in your variables that gives you

(14-10) / (-7-8)

which equals

4/-15

- (4/15)