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3 years ago

8-2b=-2/3(12b+6) solve

2 answers:

7 0

We have to mutiply factor -2/3 times every agument from the parenthesis.
$8-2b=- \frac{2*12b}{3}- \frac{2*6}{3} \\ 8-2b= -8b-4 \\$ /+8b
8+6b=-4 /-8
6b=-12 /:6
b=-2 - its the answer

pishuonlain [190]3 years ago

6 0

$8-2b=-\frac { 2 }{ 3 } \left( 12b+6 \right) \\ \\ 8-2b=-\frac { 2 }{ 3 } \cdot 12b-\frac { 2 }{ 3 } \cdot 6\\ \\ 8-2b=-\frac { 24 }{ 3 } b-\frac { 12 }{ 3 } \\ \\ 8-2b=-8b-4\\ \\ -2b+8b=-4-8\\ \\ 6b=-12\\ \\ b=\frac { \left( -12 \right) }{ 6 } \\ \\ \therefore \quad b=-2$

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The range of y= sin x is

kolezko [41]

Given:

y = sinx

Required:

To find the range.

Explanation:

The graph of the sine function is as follows:

We can observe from the graph that the values of y lie between -1 to 1.

So the range of the sinx function is [-1, 1].

Final Answer:

The range of sinx function = [-1, 1].

5 0

1 year ago

HELP! Find the Area of the triangle

Zigmanuir [339]

Answer:

A ≈ 65.8 m²

Step-by-step explanation:

Given 2 sides and the angle between them then the area (A) is

A = $\frac{1}{2}$ bc sinA

= 0.5 × 19.9 × 10.7 × sin38.17°

≈ 65.8 m² ( to 1 dec. place )

6 0

3 years ago

1) An average soccer ball has a mass of .4 kg. If a soccer ball is kicked with a force of 750 Newtons, what is the acceleration

tangare [24]

Answer:

1) 187.5ms^2

1) 187.5ms^22) 307.5m

Step-by-step explanation:

1) You can use the formula:

Force = Mass x Acceleration

750 = 4 x a

750 = 4a

750/4 = a

187.5ms^2

For every one second it travels 12.3 meters therefore you can just do 12.3x25 = 307.5m

8 0

3 years ago

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively. Pl

kicyunya [14]

Hello,

$u_{0} =a\\
 u_{1} =a*r\\
 u_{2} =a*r^{2}=-6\\
 u_{3} =a*r^{3}\\
 u_{4} =a*r^{4}\\
 u_{5} =a*r^{5}=162\\
....\\
\boxed{ u_{n} =a*r^{n}} \\

\dfrac{ 162}{-6} = \dfrac{ u_{5} }{ u_{3}} = \dfrac{ a*r^{5}}{ a*r^{2}} =r^3= -27\\
==\ \textgreater \ r=-3\\

 u_{2} =a*r^{2}=-6=a*(-3)^2 \ ==\ \textgreater \ a=-\frac{6}{9} =-\frac{2}{3}\\


\boxed{ u_{n} =-\frac{2}{3}*(-3)^{n}=(-1)^{n+1}*2*3^{n-1}} \\

$

8 0

3 years ago

Read 2 more answers

Set up a linear system and solve.

liubo4ka [24]

Answer:

The two integers are 23 and 12

Step-by-step explanation:

Let the two integers be f and g

Let f be the biggest and g the smallest integer

From the first statement, the sum of the two integers is 35 i.e

f + g = 35. (1)

From second statement, we were told that when the smaller integer is subtracted from twice the larger, the result is 34 i.e

2f — g = 34. (2)

Now we'll solve by elimination method as follows:

Add equation (2) and (1) together:

2f — g = 34

+ f + g = 35

3f = 69

Divide both side by the coefficient of f i.e 3

f = 69/3

f = 23

Substituting the value of f into equation(1)

f + g = 35

23 + g = 35

Collect like terms

g = 35 — 23

g = 12

The two integers are 23 and 12

4 0

3 years ago