What is the sum of one-half u subtracted from 3 times u
1 answer:
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(x + 2)²<span> + 12(x + 2) – 14 = 0
</span>(x +2) ² we use the formula (a+b)² = a² + 2ab + b²
<span>
(x</span>² + 2*2*x + 4 ) + (12*x + 12 * 2 ) - 14 = 0
(x² + 4x + 4) + (12x + 24) - 14 = 0
x² + 4x + 4 + 12x + 24 - 14 = 0
<span>we sort expressions
</span>x² + 4x + 12x + 4 + 24 - 14 = 0
<span>reduce
</span>x² + 16x + 14 = 0
a = 1 b = 16 c=14
Δ = b² - 4ac = 16² - 4*1*14 = 256 - 56 = 200
√Δ = √(2*10*10) = 10√2
Answer A
</span>(x +2) ² we use the formula (a+b)² = a² + 2ab + b²
<span>
(x</span>² + 2*2*x + 4 ) + (12*x + 12 * 2 ) - 14 = 0
(x² + 4x + 4) + (12x + 24) - 14 = 0
x² + 4x + 4 + 12x + 24 - 14 = 0
<span>we sort expressions
</span>x² + 4x + 12x + 4 + 24 - 14 = 0
<span>reduce
</span>x² + 16x + 14 = 0
a = 1 b = 16 c=14
Δ = b² - 4ac = 16² - 4*1*14 = 256 - 56 = 200
√Δ = √(2*10*10) = 10√2
Answer A
Saving of $2.10 is made by buying fleece vest on sale.
<u>Solution:</u>
Given that regular price of fleece vest = $15.99
And sale price of fleece vest = $13.99
Sales tax = 5%
When we buy at regular price, total amount including sales tax which needs to be paid is:
= 15.99 + 5% of 15.99
When buy at sales price, total amount including sales tax which needs to be paid that is
Hence saving of $2.10 is made by buying fleece vest on sale.