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bija089 [108]
3 years ago
7

Over the interval [0,2pi), what are the solutions to cos(2x) = cos(x)? check all that apply​

Mathematics
1 answer:
kykrilka [37]3 years ago
6 0

\cos(2x)  =  \cos(x)

Solution (1)

2x = x + 2k\pi

2x - x = 2k\pi

x = 2k\pi

for k=0 / for k=1 / for k=-1

x=0 / x=2π / x=-2π

acc / acc / rej

solution (2)

2x =  - x  + 2k\pi

2x + x = 2k\pi

3x = 2k\pi

x =  \frac{2k\pi}{3}

for k=0 / for k=1 / for k=-1

x=0 / x=2π/3 / x=-2π/3

acc / acc / rej

Note that i'm trying values of K which make the answer belong to our interval;

So our solution which i will represent as a set is;

S € {0,2π/3,2π}

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According to company records, 128 of 460 employees purchase health insurance through the company. The chief human resources offi
Doss [256]

Answer:

\dfrac{128}{460}\times 100 \approx \bold{27.83\%}

Step-by-step explanation:

Given that:

Number of employees who purchased health insurance through the company = 128

Total number of employees = 460

To find:

Expression to find out the percentage of employees that purchase health insurance through the company ?

Solution:

Percentage of employees that purchase health insurance through the company:

\dfrac{\text{Number of employees that purchase health insurance through the company}}{\text{Total number of employees}}\times 100

= \dfrac{128}{460}\times 100 \approx \bold{27.83\%}

4 0
3 years ago
30 points and brainlest if u can solve this ASAP
gizmo_the_mogwai [7]

Answer:

£265.10

Step-by-step explanation:

200+33.60+31.50=£265.10

  • <em>42×</em><u>8=336=10%=33.60</u>
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3 0
3 years ago
Read 2 more answers
Which of the following statements describe the system ?​
algol [13]

Answer:

one solution

Step-by-step explanation:

here, we want to select the correct option

From the system, we have two values of y

Equating the y-values

3x + 2 = -2x - 1

What this mean is that there is only a particular point where this solution will work and as such, the system has one solution

3 0
3 years ago
Use the data below.
LuckyWell [14K]

Step-by-step explanation:

mean = sum of all data points / number of data points

(22+16+18+14+16+34+20)/7 = 140/7 = 20

median is the number, where half of the data points are smaller, and the other half are larger.

first we need to sort the data points

14, 16, 16, 18, 20, 22, 34

median = 18

mode is the data point occurring most often.

mode = 16 (occurring 2 times, while the others occur only once).

range is the difference between the largest and the smallest data point.

range = 34 - 14 = 20

5 0
2 years ago
Jeremy was 45 inches tall when he started kindergarten. He grew an average of 2.5
Pepsi [2]

Answer:

subtraction

Step-by-step explanation:

its subtraction because if you do 62.5-2.5 it = 60 and then 60-2.5=57.5 57.5-2.5=55 55-2.5=52.5 52.5-2.5=50 50-2.5= 47.5 47.5-2.5 = 45 s so it was 7 or 8 years ago idk count them see how many times i did it

3 0
3 years ago
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