Put me as brainliest ive tried i cant figure it out plzz
Answer:
Step-by-step explanation:
Factorise the numerator and denominator
8a² - 2 ← factor out 2 from each term
= 2(4a² - 1) ← 4a² - 1 is a difference of squares
= 2(2a - 1)(2a + 1)
4a² + 4a + 1 ← is a perfect square
= (2a + 1)²
Thus
= ← cancel (2a + 1) on numerator/ denominator
=
=
<em>$29178.25</em>
- Step-by-step explanation:
<em>x = p(1 - r)ⁿ</em>
<em>p = original price</em>
<em>r = 8.3% = 0.083</em>
<em>n = 5 years</em>
<em>x = $45000(1 - 0.083)⁵</em>
<em>= $45000ₓ0.917⁵</em>
<em>= $45000ₓ0.64840548256</em>
<em>= </em><em>$29178.25</em>
<em>Directed numbers</em> are numbers that have either a <u>positive</u> or <u>negative </u>sign, which can be shown on a <em>number line</em>. Therefore, point F is Fifteen-halves of line <em>segment</em> DE.
A <u>number line</u> is a system that can show the positions of <em>positive</em> or <em>negative</em> numbers. It has its <em>ends</em> ranging from <em>negative infinity</em> to <em>positive infinity</em>. Thus any <em>directed</em> number can be located on the line.
Directed numbers are numbers with either a <u>negative</u> or <u>positive </u>sign, which shows their direction with respect to the <em>number line.</em>
In the given question, the <u>distance</u> between points D and E is <em>9 units</em>. So that <em>dividing</em> 9 units in the ratio of 5 to 6, we have;
x 9 =
=
Therefore, the <em>location</em> of point F, which <u>partitions</u> the directed line segment from d to E into a 5:6 ratio is . Thus the<em> answer</em> is <u>Fifteen-halves.</u>
For further clarifications on a number line, visit: brainly.com/question/23379455
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