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garik1379 [7]
3 years ago
10

Which equation correctly shows the relationship between the numbers 6,560 and 656?

Mathematics
1 answer:
enot [183]3 years ago
8 0

Answer:

656×1000

Step-by-step explanation:

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Find the missing side in the similar figure below
xeze [42]

Answer:

30

Step-by-step explanation:

20 divided by 12 is 5/3.

18x5/3 is 30, meaning the missing side is 30.

7 0
3 years ago
The daily cost of hiring a plumber , y , to work x hours on a repair project can be modeled using a linear function. The plumber
Paladinen [302]

Answer:

The range of the function is 80\leq y\leq 440

Step-by-step explanation:

Consider the provided information.

The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour.

Let plumber works for x hours, then the required linear function will be:

y=45x+80

The plumber works a maximum of 8 hours per day.

That means the minimum value of x is 0 and maximum value of x is 8.

We need to find the range of the function.

Range of the function is the set of y values.

Substitute x=0 in above function,

y=45(0)+80

y=80

Now substitute x=8 in above function.

y=45(8)+80

y=360+80

y=440

Hence, the range of the function is 80\leq y\leq 440

3 0
3 years ago
A graphing calculator is recommended. A function is given. g(x) = x4 − 5x3 − 14x2 (a) Find all the local maximum and minimum val
Taya2010 [7]

Answer:

The local maximum and minimum values are:

Local maximum

g(0) = 0

Local minima

g(5.118) = -350.90

g(-1.368) = -9.90

Step-by-step explanation:

Let be g(x) = x^{4}-5\cdot x^{3}-14\cdot x^{2}. The determination of maxima and minima is done by using the First and Second Derivatives of the Function (First and Second Derivative Tests). First, the function can be rewritten algebraically as follows:

g(x) = x^{2}\cdot (x^{2}-5\cdot x -14)

Then, first and second derivatives of the function are, respectively:

First derivative

g'(x) = 2\cdot x \cdot (x^{2}-5\cdot x -14) + x^{2}\cdot (2\cdot x -5)

g'(x) = 2\cdot x^{3}-10\cdot x^{2}-28\cdot x +2\cdot x^{3}-5\cdot x^{2}

g'(x) = 4\cdot x^{3}-15\cdot x^{2}-28\cdot x

g'(x) = x\cdot (4\cdot x^{2}-15\cdot x -28)

Second derivative

g''(x) = 12\cdot x^{2}-30\cdot x -28

Now, let equalize the first derivative to solve and solve the resulting equation:

x\cdot (4\cdot x^{2}-15\cdot x -28) = 0

The second-order polynomial is now transform into a product of binomials with the help of factorization methods or by General Quadratic Formula. That is:

x\cdot (x-5.118)\cdot (x+1.368) = 0

The critical points are 0, 5.118 and -1.368.

Each critical point is evaluated at the second derivative expression:

x = 0

g''(0) = 12\cdot (0)^{2}-30\cdot (0) -28

g''(0) = -28

This value leads to a local maximum.

x = 5.118

g''(5.118) = 12\cdot (5.118)^{2}-30\cdot (5.118) -28

g''(5.118) = 132.787

This value leads to a local minimum.

x = -1.368

g''(-1.368) = 12\cdot (-1.368)^{2}-30\cdot (-1.368) -28

g''(-1.368) = 35.497

This value leads to a local minimum.

Therefore, the local maximum and minimum values are:

Local maximum

g(0) = (0)^{4}-5\cdot (0)^{3}-14\cdot (0)^{2}

g(0) = 0

Local minima

g(5.118) = (5.118)^{4}-5\cdot (5.118)^{3}-14\cdot (5.118)^{2}

g(5.118) = -350.90

g(-1.368) = (-1.368)^{4}-5\cdot (-1.368)^{3}-14\cdot (-1.368)^{2}

g(-1.368) = -9.90

7 0
3 years ago
Finsh the lyric: Time to go the distance
igomit [66]
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8 0
3 years ago
Read 2 more answers
What is the explicit rule for the sequence? −3, 0,3,6,9,... Enter your answer in the box.
PtichkaEL [24]

Answer:

  • aₙ = 3n - 6

Step-by-step explanation:

<u>Given sequence:</u>

  • −3, 0,3,6,9,...

<u>This is AP with:</u>

  • The first tern a₁ = - 3
  • Common difference d = 3

<u>The rule for the nth term of the sequence is:</u>

  • aₙ = a₁ + (n - 1)d

<u>Substitute values:</u>

  • aₙ = -3 + (n - 1)(3) =
  •       -3 + 3n - 3 =
  •        3n - 6

3 0
3 years ago
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