The expression is simplified to 10x² + 48x + 3 =0
<h3>How to determine the value</h3>
Given the expression as;
We take the numerators have the same base, then we have;
(4x+1)(x+2) + 4(x(x+ 15) = -2x² + 21x - 1
expand the bracket
4x² + 8x + x + 2 + 4(x² + 15x) = -2x² + 21x - 1
4x² + 8x + x + 2 + 4x² + 60x = -2x² + 21x - 1
collect like terms
4x² + 4x² + 2x² + 8x + x + 60x - 21x = - 1 - 2
Add or subtract like terms
10x² + 48x = -3
Make into a quadratic equation
10x² + 48x + 3 =0
Thus, the expression is simplified to 10x² + 48x + 3 =0
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<h3 />
<span>Five less than the product of a number n and 26 is at least 8
Five less than: -5
The product of a number (n) and 26: 26n
Is at least 8 (it can be 8 or more): </span>
So now put it together to be like this:
26n - 5
8
Answer:
40 + 38w ≥ 265.49
Where “w” represents the amount
of weeks it will take to
save the money
125, 216, 343, 512, 729
the numbers given in the sequence are recognisable as cubes
1 = 1³, 8 = 2³, 27 = 3³, 64 = 4³
the next five terms will be
5³ = 125, 6³ = 216, 7³ = 343, 8³ = 512 and 9³ = 729