Answer:
-23x^3+20x^4+25x^2+84x-84
Step-by-step explanation:
1 Expand by distributing sum groups.
4x^2(3x+5x^2-6)-7x(3x+5x^2-6)+14(3x+5x^2-6)
2 Expand by distributing terms.
12x^3+20x^4-24x^2-7x(3x+5x^2-6)+14(3x+5x^2-6)
3 Expand by distributing terms.
12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+14(3x+5x^2-6)
4 Expand by distributing terms.
12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+42x+70x^2-84
5 Remove parentheses.
12x^3+20x^4-24x^2-21x^2-35x^3+42x+42x+70x^2-84
6 Collect like terms.
(12x^3-35x^3)+20x^4+(-24x^2-21x^2+70x^2)+(42x+42x)-84
7 Simplify.
-23x^3+20x^4+25x^2+84x-84
We have the supplementary angles.
The sum of the measures of the two Supplementary Angles is 180°.
Therefore we have the equation:
13x - 2 + 39 = 180
13x + 37 = 180 <em>subtract 37 from both sides</em>
13x = 143 <em>divide both sides by 13</em>
<em>x = 11</em>
<h3>Answer: 11</h3>
Answer:
Macroeconomics is a study that deals with the whole economy and everything pertaining to it.
Step-by-step explanation:
when we talk about Macroeconomics, we mean the whole economy. It can be related to a country's import or export, governance, how resources are accurately allocated to people in the country and the like.
Answer:
Triangle with Blue shape inside. All of the other shapes are divided up in to triangles. The triangle on bottom (with blue shape inside) is divided up into polygons.
Step-by-step explanation:
Thursday: 2 choices {museum, park}
Friday: 4 choices {shopping, jet ski, hiking, and the choice not chosen for Thu}
Saturday: 1 choice {food}
Sunday: 3 choices {the remaining 3 after Friday's choice}
The total number of ways these choices can be arranged is 2×4×1×3 = 24
The apprpropriate selection is A) 24.
