Respuesta :

Answer: After 6 hour for the first question

Step-by-step explanation: Cause ∣x+

1−x

2

∣=

2

(2x

2

−1)\Leftright∣cos\alp+sin\alp∣=

2

(2cos

2

\alp−1)

N

2

c

o

s

(

\alp

π

4

)

=

N

2

c

o

s

(

2

\alp

)

\Right

\alp

[

0

;

π

4

]

[

3

π

4

;

π

]

∣N

2

cos(\alp−

4

π

)∣=N

2

cos(2\alp)\Right\alp∈[0;

4

π

]∪[

4

;π]

1)

\alp

[

0

;

π

4

]

\alp∈[0;

4

π

]

c

o

s

(

\alp

π

4

)

=

c

o

s

(

2

\alp

)

cos(\alp−

4

π

)=cos(2\alp)…

2.

\alp

[

3

π

4

;

π

]

\alp∈[

4

;π]

c

o

s

(

\alp

π

4

)

=

c

o

s

(

2

\alp

)

−cos(\alp−

4

π

)=cos(2\alp)…

Answer:

First answer is 5 hours

Second answer is 7 weeks

First question explanation:

Make an equation to find out when the companies prices are equal

Let x be the number of hours, so we isolate that one

10 +5x = 7x

subtract 5x from both sides

10= 2x

5=x

Second question explanation:

Same as the first one, setting up an equation as follows:

let x be number of weeks

500-20x=150+30x

add 20x to both

500 = 150 + 50x

subtract 150 from both sides

350 = 50x

divide both sides by 50

7 = x