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Nuetrik [128]
3 years ago
5

Factor the trinomial: 3x2 + 11x + 6

Mathematics
1 answer:
OleMash [197]3 years ago
5 0
3x^2+11x+6

(3x^2+2x) + (9x+6)

Factor out x  from 

3x^2+2x  =  x(3x+2)

Factor out 3  from

9x+6 = 3(3x+2)

= x(3x+2)+3(3x+2)

Factor out common  term (3x+2) :

=(3x+2)(x+3)

hope this helps!

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How many circles of radius 1 can fit into circle of radius 500?
Gekata [30.6K]

using 3.14 for Pi , since you didn't say what value to use

area = PI x r^2

 Area of larger circle = 3.14 x 500^2 = 785,000 square units

area of smaller circles = 3.14 x 1^2 = 3.14 square units


785,000/ 3.14 = 250,000 small circles can fit into larger one

6 0
4 years ago
Use the formula x = 3y - 5z to find the value of x, when y = 7 and z = 4
nlexa [21]

Answer:

x=21-5x4

x=21-20

x=1

Step-by-step explanation:

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3 years ago
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Read 2 more answers
Evaluate the expression 2.1 + (–3.7h) + 1.9h – 1.4
zubka84 [21]
2.1 + (-3.7h) + 1.9h - 1.4
2.1 - 3.7h + 1.9h - 1.4
2.1 - 1.8h - 1.4
0.7 - 1.8h

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5 0
3 years ago
Use an appropriate Taylor series to find the first four nonzero terms of an infinite series that is equal to sin(5/2).
koban [17]

Answer:

2.5, -2.61, 0.81, -0.12

Step-by-step explanation:

The taylor series of the function sin(x) around zero is given by

sin(x)=\sum_{n=0}^{\infty}\dfrac{(-1)^k}{(2k-1)!}x^{2k+1}=x-\dfrac{x^3}{3!}+\dfrac{x^5}{5!}-\dfrac{x^7}{7!}

Therefore,

\sin(\frac{5}{2})=\dfrac{5}{2}-\dfrac{[\frac{5}{2}]^3}{3!}+\dfrac{[\frac{5}{2}]^5}{5!}-\dfrac{[\frac{5}{2}]^7}{7!}+...

hence the first four nonzero terms of the series are

\dfrac{5}{2}=2.5\\\\-\dfrac{[\frac{5}{2}]^3}{3!} \approx -2.61\\\\\dfrac{[\frac{5}{2}]^5}{5!} \approx 0.81\\\\-\dfrac{[\frac{5}{2}]^7}{7!} \approx -0.12

6 0
3 years ago
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