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I am Lyosha [343]
3 years ago
9

What is the simplified Expression of -2/3(12c-9)+14c

Mathematics
2 answers:
Stells [14]3 years ago
6 0

Answer:

=6(1 + c)

Step-by-step explanation:

Given that:

= -2/3(12c-9)+14c

By simplifying:

Negative sign before bracket will alter the inner signs

=-24c/3 + 18/3 +14c

= -8c + 6 + 14c

= 6 + 6c

By taking 6 common:

=6(1 + c)

I hope it will help you!

valkas [14]3 years ago
4 0

Answer:

6(c + 1)

Step-by-step explanation:

Given: $ - \frac{2}{3} (\ 12c - 9 )\ + 14c $.

Distributing $ - \frac{2}{3}$ over $ 12c - 9 $ we get:

$ - \frac{2}{3} (12c) + \frac{2}{3} (9) + 14c $.

On simplifying we get: $ -2(4c) + 2(3) + 14c $

$ \implies -8c + 6 + 14c = 6c + 6 = 6(c + 1) $

Therefore the answer is $ 6(c + 1) $.

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4. Diego is thinking of two positive numbers. He says, "If we triple the first number and
aleksandr82 [10.1K]

Answer:

3<em>x </em>+ 2<em>y</em> = 34. and two possible pairs of positive numbers are  (<em>x</em>, <em>y</em>) = (10, 2) and (<em>x</em>, <em>y</em>) = (4, 11).

Step-by-step explanation:

 Let the First positive number be <em>x</em> and second positive number be <em>y.</em>

Triple of first number = 3<em>x</em>

double of second number = 2<em>y</em>

According to question,

3<em>x </em>+ 2<em>y</em> = 34

Therefore, the equation is 3<em>x </em>+ 2<em>y</em> = 34

So the two possible pair of numbers Diego would be thinking of must satisfy the equation 3<em>x </em>+ 2<em>y</em> = 34

Now,  3<em>x </em>+ 2<em>y</em> = 34

3<em>x </em>= 34 - 2<em>y</em>

Let x = 10 and by substituting its value in above expression,

3 \times 10 = 34 - 2y

30 = 34 - 2y

2y = 34 - 30

2y = 4

y = 2

Therefore first pair (<em>x</em>, <em>y</em>) = (10, 2)

In the same way put x = 4 then,

3<em>x </em>= 34 - 2<em>y</em>

3 \times 4 = 34 - 2y

2y = 34 - 12

2y = 22

y = 11

Therefore first pair (<em>x</em>, <em>y</em>) = (4, 11)

Therefore, (<em>x</em>, <em>y</em>) = (4, 11) and  (<em>x</em>, <em>y</em>) = (10, 2) are the two possible pairs of numbers Diego could be thinking of as these both values satisfy the equation 3<em>x </em>+ 2<em>y</em> = 34.  

8 0
3 years ago
Please help me please
myrzilka [38]

Answer:

  • B. y = -4/3x + 22

Step-by-step explanation:

Parallel lines have the same slope.

<u>Use the given point (6, 14) and point-slope form:</u>

  • y - 14 = -4/3(x - 6)
  • y = -4/3x + 8 + 14
  • y = -4/3x + 22

Correct choice is B

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