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Advocard [28]
3 years ago
12

Simplify 8(R + 6) - 2R.

Mathematics
2 answers:
Natali5045456 [20]3 years ago
8 0
So the first thing you do is distrubute.

8(R+6) - 2R = 8R+48-2R = 6R + 48

Answer is 6R + 48.
Sergeeva-Olga [200]3 years ago
6 0
Okay first lets distribute the 8 to the R and the 6
Now we have (8R+48)-2R
then we need to combined like terms
8r-2r=6R
So we are left with 6R+48
I hope this helped <span />
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Which property would be used to show that the product of two rational is always rational
KatRina [158]

You multiply two rational numbers by multiplying numerators and denominators with each other. So, you have

\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{ac}{bd}

A rational number is a fraction where both numerator and denominator are integers. Since the product of two integers is an integer, the result fraction is also a rational number, because both ac and bd are integers.

3 0
3 years ago
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 )

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sergey [27]
Answer is 4.
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ki77a [65]
Substitute 2x+1 where y is in the equation:

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Then distribute the -2(2x+1)

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Then do -2 on both side of the equation sign

5x+2=8
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Then you'd get

5x=6

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