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balandron [24]
2 years ago
15

Solve the equation on the interval [0,2π).

Mathematics
1 answer:
Olegator [25]2 years ago
5 0

Answer:

π/2, 2π/3, 3π/2, 4π/3.

Step-by-step explanation:

8cos^2x+4cosx=0

4cosx(2cosx + 1) = 0

so cosx = 0, -1/2.

Therfore

When cos x = 0:

x = π/2, 3π/2

When cos x = -1/2:

x = 2π/3, 4π/3.

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Put in the Cartesian plane the graph of the function y = 2x + 3
Ann [662]
Y = 2x + 3 - it's a linear function

for x = 0 → y = 2 · 0 + 3 = 3 ⇒ A(0; 3)

for x = -2 → y = 2 · (-2) + 3 = -4 + 3 = -1 ⇒ B(-2;-1)

Look at the picture.

4 0
3 years ago
Help with the answer.
lisov135 [29]

when you multiply a number by 5 and then by 2, it is the same as multiplying by 10. Multiplying by by 10 means you add a zero to the end of the number so the digit in the ones column will always be zero

5 0
3 years ago
In a geometric sequence, the_between consecutive terms is constant.
nasty-shy [4]

Answer:

In a geometric sequence, the common ratio between consecutive terms is constant.

Step-by-step explanation:

In a geometric sequence, the common ratio between consecutive terms is constant.

The n-th term of a geometric sequence with first term a and common ratio r is represented by the formula:

a_{n}=a\,r^{n-1}

For example,

1, -3, 9, -27, 81, -243, ...

As the common ratio 'r' between consecutive terms is constant.

  • r = -3/1 = -3
  • r = 9/-3 = -3
  • r = -27/9 = -3
  • r = 81/-27 = -3
  • r = -243/81 = -3

So, the common ratio between consecutive terms is constant i.e. -3. Thus, it is a geometric sequence with a common ratio -3.

4 0
3 years ago
If Todd can paint 2/3 of a wall<br> in 1 1⁄2 hours, what is his painting<br> rate in hours per wall?
allsm [11]
Divide the hours by the walls, and you’ll have hours per wall.

(1 1/2) / (2/3)
= (1 1/2) * (3/2)
= (3/2) * (3/2)
= 9/4

He paints at 9/4 hours per wall.
7 0
3 years ago
HURRY PLEASE!! Evaluate the expression below.
tatuchka [14]

Answer:

A

Step-by-step explanation:

Given

20 - ||  - 13 | + 17 |

Note the absolute value function always returns a positive value, that is

| - a | = | + a | = a, thus

= 20 - | | - 13 |+ 17 |

= 20 - | 13 + 17 |

= 20 - | 30 |

= 20 - 30

= - 10 → A

6 0
3 years ago
Read 2 more answers
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