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Vlada [557]
3 years ago
12

Y= 12x+2 2y = x+4 and the step by step explanation

Mathematics
1 answer:
Lena [83]3 years ago
5 0

Answer:

x=0, y=2

Step-by-step explanation:

Below! Credits to WolframAlpha!

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daily total of enrollment at sunnyside summer camp last monday thriugh saturday were 17, 19, 23, 14, 25, and 28. What was the av
REY [17]

To find the average number of enrollments per day, what you would want to do is add all of the numbers and then divide it by how many numbers there are.

Your Equation would look like this:

17+19+23+14+25+28 = ?

When you solve it. you would get:

126

126 would be the total amount of enrollments, but the question is asking you to find the average enrollments PER day. In this case, you would divide your total enrollments by how many numbers there are in the question. There are 6 numbers in the question, or six days, that being 17, 19, 23, 14, 25, and 28. So you would get your total amount of enrollments and divide it by 6

Your equation would look like this now:

126÷6=21

The average number of enrollments per day is 21.

8 0
3 years ago
Write the given second order equation as its equivalent system of first order equations. u′′−5u′−4u=1.5sin(3t),u(1)=1,u′(1)=2.5
lakkis [162]

Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer:  v = 5v + 4u + 1.5sin(3t),

  • 0
  • 1
  •  4
  • 5
  • 0
  • 1.5sin(3t)
  • 1
  •  2.5

Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t)        where u'(1) = 2.5   u(1) = 1

v represents the "velocity function"   i.e   v = u'(t)

As v = u'(t)

<em>u' = v</em>

since <em>u' = v </em>

v' = u"

v'  = 5u' + 4u + 1.5sin(3t)   ( given that u" - 5u' - 4u = 1.5sin(3t) )

    = 5v + 4u + 1.5sin(3t)  ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt \left[\begin{array}{ccc}u&\\v&\\\end{array}\right]= \left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]  \left[\begin{array}{ccc}u&\\v&\\\end{array}\right] + \left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]  = \left[\begin{array}{ccc}1\\2.5\\\end{array}\right]

7 0
3 years ago
The number of men and women receiving​ bachelor's degrees each year has been steadily increasing. For the years 1970 through the
slega [8]

Answer:

Step-by-step explanation:

Given:

The number of men receiving degrees (in thousands)

y = 3.8x + 441

The number of women receiving degrees (in thousands)

y = 14.4x + 311

y = 14.4x + 311

y = 3.8x + 441

Solving the above equations simultaneously,

3.8x + 441 = 14.4x + 311

10.6x = 130

x = 12.24

Inputting the value of x into the initial equation to find y,

y = 3.8(12.26) + 441

= 487.6

Therefore, the point (12.26 , 487.6) will be the solution of our given equations.

6 0
3 years ago
Write the equation in the point slope form for the line that contains the points (-2,-3), (4,3)
Marina86 [1]

Answer:

Answer is 4 I think!!

4 0
3 years ago
Read 2 more answers
Combine like terms . what is 43z + 15z + 7z + 5z + 46z + 14z? ​
Vladimir [108]

Basically just add them all together like normal addition except there is a z attached to each number:

43z + 15z + 7z + 5z + 46z + 14z

58z+ 7z + 5z + 46z + 14z

65z + 5z + 46z + 14z

70z + 46z + 14z

116z + 14z

130z

Hope this helped!

8 0
4 years ago
Read 2 more answers
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