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3 years ago

Which method is the most effective method to use to solve x^2+4x+3=0

Mathematics

2 answers:

lukranit [14]3 years ago

6 0

Answer:

Completing the square.

Step-by-step explanation:

since there is no "a" term and the bx term is even, completing the square is your best bet.

miss Akunina [59]3 years ago

4 0

For this case we have as a simpler method the factorization. We must find two numbers that multiplied as a result +3 and added as a result +4.

These numbers are:

3 and 1. $3 + 1 = 4\\\\3 * 1 = 3$

So, we have to:

$x ^2 + 4x + 3 =\\(x + 3) (x+1)$

Answer:

$(x + 3) (x + 1)$

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Kylie starts with $145 in her piggy bank. Each month she adds $20.

djverab [1.8K]

Kylie's first month collection, a1= $ 145

Second month collection , a2= $145+ 20

Third month collection, a3 = $145 +2*20

so for n months collection = an-1+20

We get an= 20 + an-1 and a1=145

4 0

4 years ago

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47+ ...?

Alex

Answer:

$\huge\boxed{18,475}$

Step-by-step explanation:

The terms of this sum make the arithmetic sequence.

The fomula of a sum of <em>n</em> terms of an arithmetic sequence:

$S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}$

We have

$a_1=2\\d=17-2=32-12=47-32=15\\n=50$

Substitute:

$S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475$

3 0

3 years ago

Find the area of the shaded region. Round to the nearest tenth.

drek231 [11]

pi·18.6^2·123°/360° - 1/2·18.6^2·SIN(123°) = 226.3

8 0

3 years ago

The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the

Lisa [10]

Answer:

$\bold{495\pi} \approx \bold{1555.088 cm^3}$

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula $\bold{\pi r^2h}\\$

where r is radius of base of cylinder, h is the height

Volume of a cone is given by $\bold{\frac{1}{3} \pi r^2 h}$

where r is the radius of base of cone, h is the height

The radius of the cylinder = $\frac{1}{2}$ (diameter) = $\frac{1}{2}$ (12) = 6cm

Height of cylinder = 15cm

Volume of cylinder $V_{cyl} = \pi (6)^2 15 = \pi (36)15 = \bold{540\pi}$

Radius of cone = $\frac{1}{2}$ (radius of cylinder) = $\frac{1}{2}$ (6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, $V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 = \frac{1}{3}(9)15\pi = \bold{45\pi}\\$

Difference is the volume of the remaining solid

$V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}$

5 0

2 years ago

Y = -6x + 3 y = 5x - 8 Question 1 options: (-3, -1) (3, -1) (1, -3) (1, 3)

OleMash [197]

Answer:

-3,-1 so a

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers