We want to evaluate
Perform long division
2x² + 5x + 2
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3x²+2 | 6x⁴ + 15x³ + 10x² + 10x + 4
6x⁴ + 4x²
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15x³ + 6x² + 10x + 4
15x³ + 10x
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6x² + 4
6x² + 4
Answer: 2x² + 5x + 2
Let the number of months = x , and total budget = y
<span>An inequality to represent the situation:
For budget = $155
∴ 155 = 20 x +15
solve for x
20 x = 155 - 15 = 140
∴ x = 140/20 = 7
∴ T</span>he greatest number of months = 7 <span>months.</span>
Since the exponent is on the outside of the paranthesis, you'd have to multiply it by everything on the inside: a^m x b^m
Answer: c=a2+b2
Step-by-step explanation: the triangle is solvedlike that
Answer:
x = ±3 sqrt(2)
Step-by-step explanation:
x^2 + x^2=6^2
Combine like terms
2x^2 = 6^2
Divide each side by 2
x^2 = * 6^2/2
Take the square root of each side
sqrt(x^2) =± sqrt( 6^2/2)
Remember that sqrt(a/b) = ±sqrt(a ) /sqrt(b)
x = ±sqrt(6^2)/sqrt(2)
x = ±6 /sqrt(2)
We do not leave square roots in the denominator, so we multiply the top and bottom by sqrt(2)
x = ±6 /sqrt(2) * sqrt(2)/ sqrt(2)
x = ±6 *sqrt(2) /( sqrt(2)*sqrt(2))
x = ±6 sqrt(2) /(2)
x = ±3 sqrt(2)