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ella [17]
2 years ago
15

Kray sells personalized photo frames. She charges $12 for the frame plus $0.25 for each letter the customer wants to engraved on

the frame. Which function represents the relationship between the number of letters engraved on a frame, n, and the total cost of a frame, c,? 15 points
Mathematics
1 answer:
VARVARA [1.3K]2 years ago
6 0

Answer:

c=0.25n+12

Step-by-step explanation:

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gizmo_the_mogwai [7]

Answer:

α = π/3

γ = 2

x = -3π/4, -5π/12, π/4, 7π/12

Step-by-step explanation:

Easiest way to do this is in reverse.

γ sin(2x − α)

Angle sum/difference formula:

γ (cos α sin(2x) − sin α cos(2x))

Distribute:

γ cos α sin(2x) − γ sin α cos(2x)

Matching the coefficients:

γ cos α = 1

γ sin α = √3

Solve the system of equations.  Divide to eliminate γ:

tan α = √3

α is between 0 and π/2, so:

α = π/3

γ = 2

sin(2x) − √3 cos(2x) = 1

Using the identity from before:

2 sin(2x − π/3) = 1

Solving:

sin(2x − π/3) = 1/2

2x − π/3 = π/6 + 2kπ or 5π/6 + 2kπ

2x = π/2 + 2kπ or 7π/6 + 2kπ

x = π/4 + kπ or 7π/12 + kπ

x is between -π and π, so:

x = -3π/4, -5π/12, π/4, 7π/12

7 0
3 years ago
Please help!!!!! 10 points!!
IrinaK [193]

Answer:

Both calculated the slope as 1/3

Step-by-step explanation:

Avis:


Rise = 4

Run = 12

Rise goes over the run:   4/12

4/12 simplifies into 1/3


Alec:


Rise= 2

Run= 6

Rise goes over the run:   2/6

2/6 simplifies into 1/3

4 0
3 years ago
Read 2 more answers
I need help please i dont know
lesantik [10]

Answer:

round to the nerest hundered

Step-by-step explanation:

8 0
2 years ago
Answer quick for brainliest
Verizon [17]

Answer:

y=-2x+4

Step-by-step explanation:

Hello there!

Using y=mx+b, -2 is the slope and 4 is the y-intercept.

;)

7 0
3 years ago
Read 2 more answers
What is 26 divided by 10.92
Bezzdna [24]

26 divided by 10.92 equals 2.380952

7 0
3 years ago
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