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PtichkaEL [24]
3 years ago
12

Which expression is equivalent to (2x^2+3)(x+4) ?

Mathematics
2 answers:
kherson [118]3 years ago
5 0

Answer:

2 x^3+ 8 x^ 2 + 3 x + 12

Step-by-step explanation:

yan [13]3 years ago
4 0

Answer:

2x³ + 8x² + 3x + 12

Step-by-step explanation:

Given

(2x² + 3)(x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

2x²(x + 4) + 3(x + 4) ← distribute parenthesis

= 2x³ + 8x² + 3x + 12

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Can someone help me with this please??
Evgen [1.6K]

Answer:

z=20.8

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Step-by-step explanation:

The triangle on the right is a 30,60,90 triangle, a special right triangle with simple rules to find the side lengths. sides A,B, and C where C is the hypotenuse (24 in your diagram). The short side A is= 1/2 of side C (12 in your diagram). The long side B is= side A*√3 (20.8 in your diagram).

The triangle on the left is another special right triangle called a 45,45,90. The rules for this triangle are C= A*√2, and B=A. Because of the rules in the 30,60,90 triangle, we know that side A is 12. This means that side B (y)=12. Side C (x)= 16.97.

Hope this helped! Sorry if my explanation is confusing, but the rules for special right triangles can be easily found online and then calculated :)

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1400=1100\left( 1+\frac{r}{12} \right)^{12\cdot 7}\implies \cfrac{1400}{1100}=\left( 1+\frac{r}{12} \right)^{84}\implies \cfrac{14}{11}=\left( 1+\frac{r}{12} \right)^{84} \\\\\\ \sqrt[84]{\cfrac{14}{11}}=1+\cfrac{r}{12}\implies \sqrt[84]{\cfrac{14}{11}}-1=\cfrac{r}{12}\implies 12\left[ \sqrt[84]{\cfrac{14}{11}}-1 \right]=r \\\\\\ 0.0345\approx r\stackrel{\textit{converting to \%}}{0.0345\cdot 100}\implies 3.45\approx r\implies \stackrel{\textit{rounded up}}{3.4\approx r}

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Step-by-step explanation:

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