The operations referred to are likely
• raising to a power (the numerator of the exponent)
• taking a root (the denominator of the exponent)
• finding a reciprocal (because the exponent is negative)
They can be performed in any convenient order. It often works well to deal with small positive integers, so if one or more of these operations lets you proceed with a small positive integer for the remaining operations, that would be the one you'd perform first.
_____
A computer performing operations with a negative rational exponent may do so using logarithms. That is, the log of the base will be multiplied by the exponent, then the antilog found. The exponent itself will likely be treated as a floating point number, unless coding specifically indicates otherwise.
The solution consists of all of the true intervals is −4 < x < −1 x > 1.
−4<x<−1 or x>1
Inequality Form: −4<x<−1 or x>1
Interval Notation: (−4,−1) ∪ (1,∞)
x^3 + 4x^2 > x + 4
Subtract x from both sides of the inequality.
x^3 + 4x^2 − x > 4
Convert the inequality to an equation.
x^3 + 4x^2 − x = 4
Move 4 to the left side of the equation by subtracting it from both sides.
x^3 + 4x^2>x+4
2 − x − 4 = 0
Factor the left side of the equation
(x + 4)(x + 1)(x − 1) = 0
If any individual factor on the left side of the equation is equal to, the entire expression will be equal to 0
x + 4 = 0
x + 1 = 0
x − 1 = 0
Set x + 4 equal to 0 and solve for x
x = −4
Set x + 1 equal to 0 and solve for x
Inequality is the difference in social status, wealth, or opportunity between people or groups. People are concerned about social inequality.
x = −1
Set x + -1 equal to 0 and solve for x
x = 1
The final solution is all the values that make (x + 4)(x + 1)(x − 1) = 0 true
x = −4, −1, 1
Use each root to create test intervals.
x < −4
−4 < x < −1
−1 < x < 1
x > 1
Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the
inequality.
x < −4 ←False
−4 < x < −1 ←True
−1 < x < 1 ←False
x > 1 ←True
The solution consists of all of the true intervals.
−4 < x < −1 x > 1
To learn more about the inequalities visit:
#SPJ5
Answer:8.9
Step-by-step explanation:
192/43 is about 4.46
4.46*2 is about 8.9
8.9
192/43 is around 4.46
4.46*2 is around 8.9
Answer:
0.1554
Step-by-step explanation:
.37x.42=.1554
To find the product of 0.37 and 0.42, multiply the numbers together. The missing digits in the empty boxes should be 5 and 4, respectively.
To find the product of 0.37 and 0.42, you need to multiply the two numbers together. The empty boxes represent the missing digits after the decimal point.
The first number, 0.37, has two decimal places, and the second number, 0.42, has two decimal places as well. When you multiply these two numbers, you need to make sure the total number of decimal places in the product matches the sum of the decimal places in the original numbers.
The product of 0.37 * 0.42 is 0.1554. So, the missing digits in the empty boxes should be 5 and 4, respectively.
#SPJ3