if x=0.3 what is the value of the following expression?

Question

x^3 divided by 0.9+4x+(7-4)

Answer 1

To evaluate the expression given \( x = 0.3 \):

1. Substitute \( x \) into the expression: \[ \frac{x^3}{0.9 + 4x + (7 - 4)} \]

2. Calculate \( x^3 \): \[ 0.3^3 = 0.027 \]

3. Calculate \( 4x \): \[ 4 \times 0.3 = 1.2 \]

4. Calculate \( 7 - 4 \): \[ 7 - 4 = 3 \]

5. Combine all the terms in the denominator: \[ 0.9 + 1.2 + 3 = 5.1 \]

6. Now substitute these values back into the expression: \[ \frac{0.027}{5.1} \]

7. Perform the division: \[ \frac{0.027}{5.1} \approx 0.005294117647058823 \]

So, the value of the expression is approximately \( 0.0053 \) (rounded to four decimal places).