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jeka57 [31]
3 years ago
15

Solve for b: 1/2(4a + 10b) = c​

Mathematics
1 answer:
andriy [413]3 years ago
6 0

Answer:

b = (c - 2a) / 5

Step-by-step explanation:

1/2(4a + 10b) = c

2a + 5b = c

5b = c - 2a

b = (c - 2a) / 5

You might be interested in
Kurt says factors and multiples are
maxonik [38]

<u>Step-by-step Explanation:</u>

<em>Before heading towards the solution, you need to make sure how multiple and factors are related to each other.</em>

<em>The multiple of a number could be obtained by multiply it with another number. </em>

For example, the first five multiples of 12 are 12, 24, 36, 48 and 60

  • 1 X 12 = 12
  • 2 X 12 = 24
  • 3 X 12 = 36
  • 4 X 12 = 48
  • 5 X 12 = 60

<em>Factors are the numbers that are multiplied to get a given number.</em>

For example,

  • 1 X 12 = 12
  • 2 X 12 = 24
  • 3 X 12 = 36

The factors of 12 are 1, 2, 3, 4, 6 and 12.

As division and multiplication can be used to find factors and multiples.

For example a whole number is a multiple of its factors.

Let w = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20} be the set of even wholes numbers from 2 to 20.

As 2 is a factor of 20 because 20 ÷ 2 = 4

20 is a multiple of 2 because 2 X 10 = 20

So, in the same way, the equation 8 X 5 = 40 can be used to determine how factors and multiples are related.

Let the equation be

                                    8 X 5 = 40

8 is a factor of 40 because 8 X 5 = 40

40 is a multiple of 8 because 40 ÷ 5 = 8

<em>So, this is how factors and multiples are related to each other.</em>

<em />

<em>Keywords: factors, multiples, division, multiplication</em>

<em> Learn more about factors and multiples from brainly.com/question/596356</em>

<em> #learnwithBrainly</em>

4 0
3 years ago
Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y = e^5x and z = e^2x. Th
xenn [34]

Answer:

The solutions are linearly independent because the Wronskian is not equal to 0 for all x.

The value of the Wronskian is \bold{W=-3e^{7x}}

Step-by-step explanation:

We can calculate the Wronskian using the fundamental solutions that we are provided and their corresponding the derivatives, since the Wroskian is defined as the following determinant.

W = \left|\begin{array}{cc}y&z\\y'&z'\end{array}\right|

Thus replacing the functions of the exercise we get:

W = \left|\begin{array}{cc}e^{5x}&e^{2x}\\5e^{5x}&2e^{2x}\end{array}\right|

Working with the determinant we get

W = 2e^{7x}-5e^{7x}\\W=-3e^{7x}

Thus we have found that the Wronskian is not 0, so the solutions are linearly independent.

3 0
3 years ago
I don't understand all three. What am I supposed to do and what is the answer?
AlladinOne [14]

Answer:

Step-by-step explanation:

The Domain means all possible values that x can be.

The range is the outcomes you get when you plug in the domain.

For each function, choose values for x.

Then solve

The outcome you get is f(x)

F(X) is an easier way of saying y,

If its easier this way, in terms of y, the equations would be y=-4x, y=x+6, and y=3x+2. You would solve these as you solve linear equations!

Ordered pair of [x,f(x)]

Lets Start!

#1

x | -4x | f(x)  

Lets use the values -2, -1, 0, 1, and 2 for x.

-2 | -4(-2) | 8  (-2,8)

-1 | -4(-1) | 4  (-1,4)

0 | -4(0) | 0  (0,0)

1 | -4(1) | -4  (1,-4)

2 | -4(2) | -8  (2,-8)

Domain we have right now- {-2,-1,0,1,2}

Range we have right now- {8,4,0,-4,-8}

Domain and Range of entire function- All real numbers

#2

x | x+6 | f(x)

Lets use the values -2, -1, 0, 1, and 2 for x.

-2 | -2 + 6 | 4

-1 | -1 + 6 | 5

0 | 0 + 6 | 6

1 | 1 + 6 | 7

2 | 2 + 6 | 8

Domain we have right now- {-2,-1,0,1,2}

Range we have right now- {4,5,6,7,8}

Domain and Range of entire function- All real numbers

#3

x | 3x + 2 | f(x)

-2 | 3(-2) + 2 | 4

-1 | 3(-1) + 2 | -1

0 | 3(0) + 2 | 2

1 | 3(1) + 2 | 5

2 | 3(2) + 2 | 8

Domain we have right now- {-2,-1,0,1,2}

Range we have right now- {4,-1,2,5,8}

Domain and Range of entire function- All real numbers

Hope i helped, Brainliest would be appreciated.

Have a nice day!

   -Aadi x

3 0
3 years ago
PLEASE HELP ASAP!!! WILL GIVE BRAINLIEST FOR BEST ANSWER
irina1246 [14]
The answer is B.
The shaded area includes points less than the line, and the slope is negative. Also, the Y intercept is positive 5.
3 0
3 years ago
Order for least to greatest 1.2, 0.12, 12, 0.012
mote1985 [20]

Answer:

is this helpful

Step-by-step explanation:

0.012,0.12,1.2,12

6 0
3 years ago
Read 2 more answers
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