Answer:
or
Step-by-step explanation:
The given absolute value inequality is
Divide both sides of the inequality by -2 and reverse the inequality sign:
By the definition of the absolute value function;
Either or
Divide through the rightmost inequality by -1 and reverse the sign.
This implies that:
or
The expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
<h3>How to express in standard form?</h3>
The expression is given as:
8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³
Collect the like terms
8mn⁵ -mn⁵ - 2m⁶ -4m⁶ + 5m²n⁴ +9m²n⁴+n⁶ - 4m³n³ - m³n³
Evaluate the like terms
7mn⁵ - 6m⁶ + 14m²n⁴+n⁶ - 5m³n³
Rewrite in standard form
n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
Hence, the expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
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Answer:
Larger number = 34
Smaller number = 17
Step-by-step explanation:
Given that:
Sum of numbers = 51
Let,
x be the larger number
y be the smaller number
According to given statement;
x+y=51 Eqn 1
x = 2y Eqn 2
Putting x=2y in Eqn 1
2y+y=51
3y=51
Dividing both sides by 3
Putting y=17 in Eqn 2
x=2(17)
x=34
Hence,
Larger number = 34
Smaller number = 17
Answer:
b
Step-by-step explanation:
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Answer:
Tan(x) = 1/
We know that Tan 30 = 1/
Therefore, x = 30 degrees