Home
Class 12
MATHS
Order from least to greatest (xne0)," ...

Order from least to greatest `(xne0)," "(50)/(17)x^(2)" "2.9x^(2)" "(x^(2))(3.10%)`

Text Solution

AI Generated Solution

The correct Answer is:
To order the expressions from least to greatest, we will evaluate each expression by substituting a value for \( x \). Let's assume \( x = 1 \) for simplicity. 1. **Evaluate the first expression**: \[ \frac{50}{17} x^2 = \frac{50}{17} \cdot 1^2 = \frac{50}{17} \approx 2.9411 \] 2. **Evaluate the second expression**: \[ 2.9 x^2 = 2.9 \cdot 1^2 = 2.9 \] 3. **Evaluate the third expression**: \[ x^2 \cdot 3.10\% = 1^2 \cdot \frac{3.10}{100} = 1 \cdot 0.031 = 0.031 \] Now we have the evaluated values: - First expression: \( \approx 2.9411 \) - Second expression: \( 2.9 \) - Third expression: \( 0.031 \) Next, we will compare these values: - \( 0.031 < 2.9 < 2.9411 \) Thus, ordering from least to greatest, we have: \[ x^2 \cdot 3.10\% < 2.9 x^2 < \frac{50}{17} x^2 \] ### Final Answer: The order from least to greatest is: \[ x^2 \cdot 3.10\% < 2.9 x^2 < \frac{50}{17} x^2 \]
Promotional Banner

Similar Questions

Explore conceptually related problems

Order from least to greatest: " "((3)/(5))/((8)/(10))" "(0.00751)/(0.01)" "(200)/(3)xx10^(-2)

Put these fractions in order from least to greatest : (2)/(3).(3)/(13),(5)/(7),(2)/(9)

Put these fractions in order from least to greatest : (9)/(17), (3)/(16),(19)/(20),(7)/(15)

Put these numbers in order from least to greatest: a. 234xx10^(-2) b. 0.234xx10^(2) c. 2.34xx10^(4)

Find the greatest and least values of (x+2)/(2x^(2)+3x+6) AA x in R

Find the roots of the following quadratic equations i) 6sqrt5 x^(2) – 9x -3sqrt5 = 0 ii) x^(2) - x - 12 = 0 iii) 2x^(2) - 6x + 7 = 0 iv) 4x^(2) - 4x+17 = 3x^(2) -10x-17 v) x^(2) + 6x + 34 = 0 vi) 3x^(2) + 2x - 5 = 0

The set of real values of x for which (10x^2 +17x-34)/(x^2 + 2x - 3) < 8, is

the greatest and least values of (sin^(-1) x)^2+(cos^(-1)x)^2

The least and greatest values of f(x)=x^3-6x^2+9x in [0,\ 6] , are 3,\ 4 (b) 0,\ 6 (c) 0,\ 3 (d) 3,\ 6

Find numerically greatest term in the expansion of (2 + 3 x)^9 , when x = 3/2.