3 years ago

Factor 3/4 out of 3/4z+6

Mathematics

1 answer:

mr Goodwill [35]3 years ago

7 0

$\frac{3}{4}$ (z + 8)

note that $\frac{3}{4}$ ÷ $\frac{3}{4}$ = 1 , and

6 ÷ $\frac{3}{4}$ = 6 × $\frac{4}{3}$ = $\frac{24}{3}$ = 8

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Solve the equation:<br> 5|2x-7|=20

MA_775_DIABLO [31]

Answer:

x = $\frac{11}{2}$ , $\frac{3}{2}$

Step-by-step explanation:

First, isolate the absolute value:

5|2x - 7| = 20

divide both sides by 5:

|2x - 7| = 4

break into 2 equations:

2x - 7 = 4, 2x - 7 = -4

solve both equations and collect solutions:

2x = 11, 2x = 3

x = $\frac{11}{2}$ , $\frac{3}{2}$

6 0

3 years ago

Read 2 more answers

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given

Fed [463]

See attachment for one such shell. The volume is given by the sum of infinitely many thin shells like this, each with radius $x$ and height determined by the vertical distance between the upper blue curve and the lower orange curve for any given $x$ , i.e. $8e^x-8e^{-x}$ .

The volume is then

$2\pi\displaystyle\int_0^1x\left(8e^x-8e^{-x}\right)\,\mathrm dx=16\pi\int xe^x(e^{2x}-1)\,\mathrm dx=\dfrac{32\pi}9(e^3-4)\approx179.677$