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3 years ago

PLEASE SOLVE THIS IF RIGHT I WILL MARK YOU BRAINLIEST

Mathematics

1 answer:

Pie3 years ago

4 0

Answer:

Step-by-step explanation:

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How do you solve this? (#11/#12)

zepelin [54]

$\text{If}\ x_1,\ \text{and}\ x_2\ \text{are zeros of a polynomial function, then the function}\\\text{has equation}:\\\\f(x)=a(x-x_1)(x-x_2).\\----------------------------\\\\11.\ \text{We have the zeros}\ 3\ \text{and}\ i:\\\\f(x)=(x-3)(x-i)=(x)(x)+(x)(-i)+(-3)(x)+(-3)(-i)\\\\=x^2-xi-3x+3i=\boxed{x^2-(3+i)x+3i}\\\\12.\ \text{We have the zeros}\ -2\ \text{and}\ 2i:\\\\f(x)=(x-(-2))(x-2i)=(x+2)(x-2i)\\\\=x^2-(2i)^2=x^2-2^2i^2=x^2-4(-1)=\boxed{x^2+4}\\\\\text{used}\\\\(a-b)(a+b)=a^2-b^2\\\\i=\sqrt{-1}\to i^2=-1$

3 0

3 years ago

Find the 57th term of the sequence 74n-29, where n represents the position of a term in sequence.

zhannawk [14.2K]

Answer:

4189

Step-by-step explanation:

Given sequence is:

$a_n=74n-29$

Plugging n = 57 in the given sequence, we find:

$a_{57}=74(57)-29$

$a_{57}=4218-29$

$\huge \red{a_{57}= \boxed{4189}}$

5 0

3 years ago

A shipment of beach balls with a mean diameter of 28 cm and a standard deviation of 1.3 cm is normally distributed. By how many

dlinn [17]

Answer: D.) 3

Step-by-step explanation:

Given: Mean diameter: $\mu=28\ cm$

Standard deviation: $\sigma=1.3\ cm$

The required number of standard deviations is given by :-

$z=\frac{X-\mu}{\sigma}\\\\\Rightarrow\ z=\frac{31.9-28}{1.3}\\\\\Rightarrow\ z==3$

Hence, a beach ball with a diameter of 31.9 cm is 3 standard deviations differ from the mean.

5 0

3 years ago

Read 2 more answers

Find the measurement of the angle

Shalnov [3]

Answer:

∠ 1 = 120°

Step-by-step explanation:

Note that ∠ Q and ∠ R are congruent, that is both 30°, thus

∠ 1 = 180° - (30 + 30)° = 180° - 60° = 120°

6 0

4 years ago

Easy, please help!!!

olga_2 [115]

Answer:

It will take it 1 and 1/2 hours.

Step-by-step explanation:

Because they walk 5/6 miles in 5/4 hours we can set up a proportion. They walk 1/6 miles in 1/4 hour. Now using the proportion we can find out that they walk 1 full mile or 6/6 of a mile in 6/4 hours or 1 and 1/2 of an hour.

4 0

2 years ago