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3 years ago

Is the expression 2x-2 equivalent to the expression 2 (x-2)?Explain.

2 answers:

6 0

Using the distributiver property which is
a(b+c)=ab+ac therefor
2(x-2)=2(x)+(2)(-2)
multiply
2x+-4
2x-4
2x-4=2x-2?
false

the answer is no

liubo4ka [24]3 years ago

3 0

No, these are not equal because:-

2(x - 2) = 2*x - 2*2 = 2x - 4

2x - 2 is not equal to 2x - 4

Answer: Not equal

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Is the expression 70 – (4 • 15) a difference of three terms, a product of two terms, or a difference of two terms?

lara31 [8.8K]

Answer: A difference of 2 terms, and the answer is 10.

Step-by-step explanation:

6 0

3 years ago

Solve for x (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$

Taking out common term 2, we get,

$\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}$

Thus, the value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

4 0

3 years ago

How do I work out A & B ?

Sonja [21]

Answer:

see explanation

Step-by-step explanation:

(a)

Given

x² + 5x + 6

Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)

The factors are 3 and 2, since

3 × 2 = 6 and 3 + 2 = 5, hence

x² + 5x + 6 = (x + 3)(x + 2) ← in factored form

(b)

To solve

x² + 5x + 6 = 0 ← use the factored form, that is

(x + 3)(x + 2) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 2 = 0 ⇒ x = - 2

4 0

3 years ago

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Convert 2.365 to a percent

I am Lyosha [343]

236.5% is the correct answer

5 0

3 years ago

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Are the lines described by the equations y=x+2 and x+y=6 intersecting, coinciding, or parallel? Explain

Novosadov [1.4K]

y = slope*x + y-intercept;
We can rewrite our equation in a shorter form : y = mx + b;
y = x + 2 ; m1 = 2 and b1 = 2;
y = -x + 6; m2 = -1 and b2 = 6;
Set the two equations for y equal to each other:
x + 2 = -x + 6 ;
Solve for x. This will be the x-coordinate for the point of intersection:
2x = 4;
x = 2;
Use this x-coordinate and plug it into either of the original equations for the lines and solve for y. This will be the y-coordinate of the point of intersection:
y = 2 + 2 ;
y = 4;
The point of intersection for these two lines is (2 , 4).

7 0

3 years ago