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3 years ago

-12<-6x please help

1 answer:

6 0

-12 < -6x

-12/-6 > x divide both sides by -6

12/6 > x two negatives makes a positive

2 > x simplify

x < 2 switch sides

hope this helps, God bless!

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Find the equation of the line. Use exact numbers

dsp73

Answer:

y= 3x + 3

Step-by-step explanation:

From the graph we get 2 points: (-1,0) and (0,3)

(0,3) tells us that b = 3

and we use the equation $\frac{y1-y2}{x1-x2}$ to calculate m

m = $\frac{3-0}{0- (-1)}$ = 3/1 = 3

so plugging m and b into y = mx + b gives us

y = 3x + 3

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2 years ago

You earn $15.00 per hour at your job. If you get a 15% raise at the end of each year, what will your hourly rate, h, be after 6

miv72 [106K]

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2 years ago

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Aloiza [94]

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3 years ago

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a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu

Hunter-Best [27]

What you need to look for is $\frac { dr }{ dt }$ when r=8.

Now:

$Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }$

$\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr } } =\frac { 1 }{ 4\pi { r }^{ 2 } }$

$And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }$

$\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi }{ \pi } \cdot \frac { 1 }{ { r }^{ 2 } }$

$\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec$

3 0

3 years ago