All categories

3 years ago

3 (x+2)= 6 (x-1) +3

Mathematics

1 answer:

zzz [600]3 years ago

3 0

Answer:

x = 3

Step-by-step explanation:

3(x + 2) = 6(x - 1) + 3

Divide both sides by 3.

x + 2 = 2(x - 1) + 1

Distribute the 2 on the right side.

x + 2 = 2x - 2 + 1

Combine like terms on the right side.

x + 2 = 2x - 1

Add 1 to both sides. Subtract x from both sides.

3 = x

x = 3

You might be interested in

Identify the zeros of the function f(x) = 4x2 − 8x − 1 using the Quadratic Formula. HELP ASAP!!

forsale [732]

$1+\dfrac{\sqrt{5}}{2},1-\dfrac{\sqrt{5}}{2}$

Step-by-step explanation:

The given equation is $4x^{2}-8x-1$

Let $a$ be the coefficient of $x^{2}$

Let $b$ be the coefficient of $x$

Let $c$ be the constant.

Then the roots α,β for the equation $ax^{2}+bx+c$ are $\dfrac{-b+\sqrt{b^{2}-4ac} }{2a},\dfrac{-b-\sqrt{b^{2}-4ac} }{2a}$

So,α= $\frac{-b+\sqrt{b^{2}-4ac} }{2a}=\frac{8+\sqrt{64+16} }{8}=\frac{8+4\sqrt{5}}{8}=1+\frac{\sqrt{5}}{2}$

β= $\frac{-b-\sqrt{b^{2}-4ac} }{2a}=\frac{8-\sqrt{64+16} }{8}=\frac{8-4\sqrt{5}}{8}=1-\frac{\sqrt{5}}{2}$ .

So the roots are $1+\frac{\sqrt{5}}{2},1+\frac{\sqrt{5}}{2}$

5 0

3 years ago

Nick and Adam workout together. Nick weighs 160 pounds and is gaining 3 pounds per week. Adam weighs 195 pounds and is losing ab

hoa [83]

Answer:

7 wks, 181 lbs

Step-by-step explanation:

160+3t=195-2t

160+5t=195

5t=35

t=7 weeks

160+3(7)=195-2(7)=181 pounds

5 0

3 years ago

Order the number from greatest to least <br>3 1/3,3.34,300%

Liula [17]

Answer:

3.34, 3 1/3 300%

6 0

3 years ago

Read 2 more answers

What number must you add to complete the square x^2+24x=17

Arte-miy333 [17]

We have
x² + 24x = 17 (1)

Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.

Therefore
x² + 24x = (x+12)² - 144 (2)

Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161

Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.

8 0

3 years ago

Read 2 more answers

the probability of pulling red or blue marbles (or both) from a jar of only red and blue marbles when you pull out two marbles g

Rzqust [24]

Answer:

True

Step-by-step explanation:

If there are an equal amount of red and blue marbles, then the statement would be true, since there's just as many red marbles in the jar as there are blue marbles.

8 0

3 years ago

Read 2 more answers