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2 years ago

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)? 3 4 5 9

Mathematics

2 answers:

Tamiku [17]2 years ago

5 0

Answer: The correct option is (B) 4.

Step-by-step explanation: We are given to find the value of x in the following equation :

$1.5(x+4)-3=4.5(x-2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the value of x, we need to solve equation (i) for x.

The solution of equation (i) is s follows :

$1.5(x+4)-3=4.5(x-2)\\\\\Rightarrow 1.5x+6-3=4.5x-9\\\\\Rightarrow 1.5x+3=4.5x-9\\\\\Rightarrow 4.5x-1.5x=3+9\\\\\Rightarrow 3x=12\\\\\Rightarrow x=\dfrac{12}{3}\\\\\Rightarrow x=4.$

Thus, the required value of x is 4.

Option (B) is CORRECT.

Arisa [49]2 years ago

3 0

1.5(x + 4) - 3 = 3.5(x - 2)

We need to use the distributive property to simplify this.

1.5x + 6 - 3 = 3.5x - 7

Subtract 1.5x from both sides

6 - 3 = 2x - 7

Simplify left side

3 = 2x - 7

Add 7 to both sides

10 = 2x

Divide both sides by 2

x = 5

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grin007 [14]

Answer:

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Step-by-step explanation:

The equation of the straight line passing through the points (0,3) and (-4,1) is

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⇒ 2(y - 1) = x + 4

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⇒ 2y = x + 6

⇒ $y = \frac{1}{2} x + 3$

Again, the equation of the line passing through the points (0,1) and (4,-1) is

$\frac{y - (- 1)}{- 1 - 1} = \frac{x - 4}{4 - 0}$

⇒ - 2 ( y + 1) = x - 4

⇒ - 2y = x - 2

⇒ $y = 1 - \frac{1}{2}x$

Therefore, the function is defined as

$f(x) = \frac{1}{2} x + 3$ for x ≤ 0 ........... (1) and

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Therefore, f(-2) = 2 from equation (1).

f(0) = 3 from equation (1)

And f (4) = -1 from equation (2). (Answer)

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klio [65]

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