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3 years ago

What value of x makes the equation 3(x - 6) - 8x = - 2 + 5(x + 1) ?

Mathematics

1 answer:

gregori [183]3 years ago

7 0

Answer:

x=An infinate amount of answers

Step-by-step explanation:

3(x - 6) - 8x = - 2 + 5(x + 1)

Simplify:

3(x - 6) - 8x = - 2 + 5(x + 1)

3x-18-8x = -2+5x+5

-18-5x = 5x-2

-16 = 0

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3 years ago

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Ex 4.8 14) integrate 3^(2x-1)

sesenic [268]

Take the integral:

$\large\begin{array}{l} \mathsf{\displaystyle\int\!3^{2x-1}\,dx}\\\\ =\mathsf{\displaystyle\int\!\frac{1}{2}\cdot 2\cdot 3^{2x-1}\,dx}\\\\ =\mathsf{\displaystyle\frac{1}{2}\int\!3^{2x-1}\cdot 2\,dx\qquad(i)} \end{array}$

$\large\begin{array}{l} \textsf{Substitute}\\\\ \mathsf{2x-1=u\quad\Rightarrow\quad 2\,dx=du}\\\\\\ \textsf{so (i) becomes}\\\\ =\mathsf{\displaystyle\frac{1}{2}\int\!3^u\,du}\\\\ =\mathsf{\dfrac{1}{2}\cdot \dfrac{1}{\ell n\,3}\,3^u+C}\\\\ =\mathsf{\dfrac{1}{2\,\ell n\,3}\,3^{2x-1}+C} \end{array}$

$\large\begin{array}{l} \boxed{\begin{array}{c}\mathsf{\displaystyle\int\!3^{2x-1}\,dx=\frac{1}{2\,\ell n\,3}\,3^{2x-1}+C} \end{array}}\qquad\checkmark \end{array}$

If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2154165

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Tags: integrate indefinite integral substitution exponential base logarithm log ln composite integral calculus

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3 years ago

Out of the 40 students in the 7th grade class, 60% of the students carry a cell phone. What fraction of the students in the 7th

xz_007 [3.2K]

Answer:

Fraction of the students in the 7th grade class carry a cell phone = 3/5

24 students carry a cell phone

Step-by-step explanation:

40 students in the 7th grade, 60% of the students carry a cell phone.

so 40 x 0.6 = 24 students carry a cell phone

24/40 = 3/5

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