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marusya05 [52]
2 years ago
7

3m - 2n= 12 Rearrange the equation so N is the independent variable M =

Mathematics
2 answers:
Vinvika [58]2 years ago
8 0

Answer:

M = 2/3n + 4

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

juin [17]2 years ago
3 0

Answer:

n= 2/3m=6?

Step-by-step explanation:

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A linear function and an exponential function are graphed below. Find possible formulas for the functions f(t), in blue, and g(t
Zielflug [23.3K]

Answer:

f(t) = -t + 21

g(t) = 18*e^( - t / 12 + 1/4 )

Step-by-step explanation:

Given:

- The graphs for the similar question is attached.

- The same graph would be used as reference but with different coordinates for point of intersection of f(t) and g(t) @ ( 3 , 18 ) & ( 15 , 6 ).

Find:

- The formulas for functions f(t) and g(t).

Solution:

- First we will determine f(t) the blue graph which is a "linear" function. The general equation for the linear function is given as:

                                    f(t) = m*t + c

Where, m: is the gradient  ( constant )

            c: The f(t) intercept. ( constant )

- The gradient m can be determined by the given points that lie on the graph:

                         m = ( f(t2) - f(t1) ) / ( t2 - t1 )

                         m = ( 6 - 18 ) / ( 15 - 3 )

                         m = -12 / 12 = -1

- The constant c can be evaluated by using any one point and m substituted back into the linear expression as follows:

                          f(t) = -t + c

                          18 = -(3) + c

                           c = 21

- The function f(t) is as follows:

                            f(t) = -t + 21

- The general expression for an exponential function can be written as:

                           g(t) = a*e^(b*t)

Where, a and b are constants to be evaluated.

- We will develop two expressions for g(t) using two given points that lie on the curve as follows:

                           18 = a*e^(3*b)

                           6 = a*e^(15*b)

- Divide the two expressions we have:

                           3 = e^( 3b - 15b )

                           Ln(3) = -12*b

                           b = - Ln(3) / 12

- Then the expression 1 becomes:

                          18 = a*e^( - Ln(3)*3 / 12)

                          18 = 3*a*e^(-1/4)

                           6 = a / e^(0.25)

                           a = 6*e^( 1 / 4 )

- The function g(t) can be expressed as:

                          g(t) = 18*e^( - t / 12 + 1/4 )

3 0
3 years ago
Which statement or statements are true about adding integers?
aev [14]

Answer:

if the signs are the sama, add the numbers

5 0
3 years ago
Write the expression in complete factored form.<br> (X + 8) - 9(X + 8) =
Irina-Kira [14]

Answer:

7

Step-by-step explanation:

Do the brackets first

X+8= 8x

X+8= 8x

then you plus 8x + 8x =16x

16x -9 =7x

4 0
2 years ago
Factor the expression 3x^2-15x
tester [92]
Factor out 3x
Answer: 3x(x - 5)
5 0
3 years ago
Can someone help?
babymother [125]

Answer:

  • 0, 3, 8, 15, 24
  • y = x² + 2x

Step-by-step explanation:

<u>The pattern is</u>

  • Step 1  ⇒ 1*3 = 3
  • Step 2 ⇒ 2*4 = 8
  • Step 3 ⇒ 3*5 = 15

<u>Next step would be</u>

  • Step 4 ⇒ 4*6 = 24

<u>Step zero would be</u>

  • Step 0 ⇒ 0*2 = 0

<u>The equation</u>

  • y = x(x + 2) = x² + 2x
6 0
3 years ago
Read 2 more answers
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