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prisoha [69]
3 years ago
11

Solve -2(x - 4) - 7 > - 6

Mathematics
1 answer:
erica [24]3 years ago
4 0
-2(x - 4) - 7 \ \textgreater \  - 6\\
-2x+8-7\ \textgreater \ -6\\
-2x +1\ \textgreater \ -6\\
-2x\ \textgreater \ -7\\
x\ \textless \ \frac{7}{2}
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Not a hard question i just don't get it. I really need some help here, its the final
Greeley [361]

Start with

\dfrac{1}{\sin^2(x)}=4

Invert both sides:

\sin^2(x) = \dfrac{1}{4}

Consider the square root of both sides with double sign:

\sin(x) = \pm\sqrt{\dfrac{1}{4}} = \pm\dfrac{1}{2}

We have

\sin(x) = \dfrac{1}{2} \iff x = \dfrac{\pi}{6}\ \lor\ x = \dfrac{5\pi}{6}

and

\sin(x) = -\dfrac{1}{2} \iff x = \dfrac{7\pi}{6}\ \lor\ x = \dfrac{11\pi}{6}

5 0
3 years ago
A thin sheet of ice is in the form of a circle. If the ice is melting in such a way that the area of the sheet is decreasing at
elena-14-01-66 [18.8K]

Answer:

dx/dt  =  0,04 m/sec

Step-by-step explanation:

Area of the circle is:

A(c) =π*x²      where   x is a radius of the circle

Applying differentiation in relation to time we get:

dA(c)/dt   =  π*2*x* dx/dt    

In this equation we know:

dA(c)/dt  = 0,5 m²/sec

And are looking for dx/dt then

0,5  = 2*π*x*dx/dt    when the area of the sheet is 12 m²  (1)

When  A(c) = 12 m²      x = ??

A(c)  =  12  =  π*x²      ⇒    12  =  3.14* x²    ⇒  12/3.14  =  x²

x²  = 3,82     ⇒   x  = √3,82    ⇒  x = 1,954 m

Finally plugging ths value in equation (1)

0,5  = 6,28*1,954*dx/dt

dx/dt  =  0,5 /12.28

dx/dt  =  0,04 m/sec

7 0
3 years ago
Read 2 more answers
What is the Common Factor<br><br> 3t^5s − 15t^2s^3
Neporo4naja [7]

Answer:

3t^2s

Step-by-step explanation:

15/3=5

t^5s/t^2s = t^3

t^2s^3/t^2s = s^2

3 0
3 years ago
Read 2 more answers
The graph of r = -10 cos θ has which of the following characteristics?
Ronch [10]

Step-by-step explanation:

If we convert

r =  - 10 \cos(x)

to a Cartesian equation,

{r}^{2}  =  - 10 r \: \cos(x)

{x}^{2}  +  {y}^{2}  =  - 10x

{x}^{2}  + 10x +  {y}^{2}  = 0

{x}^{2}  + 10x + 25 +  {y}^{2}  = 25

(x + 5) {}^{2}  +  {y}^{2}  = 25

So we have a circle with center (-5,0), with a diameter of 10.

8 0
2 years ago
-16-4 = ?<br> 4.? =<br> 4.<br> So, -16-4=
PIT_PIT [208]

Answer:

It's -16-4

Step-by-step explanation:

Therefore its negative mins a neg so its like a debt mins a debt so it remains a debt.

Therefore its- 20

Plzzz brainlest

4 0
3 years ago
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