1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Masteriza [31]
3 years ago
11

Given the cosine equation y = 2cos(4x) - 1, What is the midline?

Mathematics
1 answer:
pogonyaev3 years ago
6 0

Answer:

y = 2 \cos(4x)  - 1 \\ when \: y = 0 \\  \cos(4x)  =  \frac{1}{2}  \\ 4x = 60 \\ x = 15 \\ when \: x = 0 \\ y = 2 - 1 = 1 \\ intercepts =  > (15, \: 0) \: and \: (0, \: 1) \\ midpoints : ( \frac{15 + 0}{2} , \:  \frac{0 + 1}{2} ) \\  = (7.5, \: 0.5) \\ gradient =  \frac{1 - 0}{0 - 15}  \\  =  -  \frac{1}{15}  \\ y = mx + c \\ at \: (7.5, \: 0.5) \\ 0.5 =  -  \frac{1}{15}  \times 7.5 + c \\ 0.5 =  - 0.5 + c \\ c = 1 \\  \therefore \: y =  -  \frac{1}{15} x + 1 \\  =  > 15y =  - x + 15

You might be interested in
A party rental company has chairs and tables for rent. The total cost to rent
Tema [17]
2c+5t=43

c=(43-5t)/2

8c+3t=36 and using c found above in this equation gives you:

4(43-5t)+3t=36

172-20t+3t=36

-17t=-136

t=8, and since c=(43-5t)/2

c=1.5

So a table costs $8.00 to rent and a chair costs $1.50
5 0
3 years ago
A nursery has 10 tree seedlings to give out at 2 workshops. It wants to give out a minimum of 2 seedlings at each workshop. How
11111nata11111 [884]

We are given total 10 tree seedlings.

Number of workshops = 2.

Here order doesn't matters.

<em>When order doesn't matters we apply combination.</em>

We know formula of combination:

C(n,r) = \frac{n!}{r!(n-r)!}

For the given situation, we have

n=10 and r=2.

Plugging values in formula, we get

\frac{10!}{2!(10-8)!}  = \frac{10\times 9\times8!}{2!8!}

\frac{10 \times 9}{2} = \frac{90}{2} =45

<h3>Therefore, 45 different ways can the nursery give out seedlings.</h3>
5 0
3 years ago
A) What is the value of 6^2<br> b) What is the value of square root of 81
Sholpan [36]

Answer:

6²= 6×6= 36

√81= 9

hope it helps! please mark me brainliest

thank you!! have a good day ahead!

3 0
3 years ago
Read 2 more answers
Which binomial is a difference of squares?
GenaCL600 [577]
D) 36x^2-81
both 36x^2 and -81 are perfect squares
difference means subtraction
7 0
3 years ago
I need help ASAP ASAP plz someone help me plz plz plz
anyanavicka [17]

Answer:

Rate of change  = 0.5

Initial value = 120

Step-by-step explanation:

(10 , 125)   ;   (30 , 135)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         = \frac{135-125}{30-10}\\\\= \frac{10}{20}\\\\= \frac{1}{2}\\= 0.5

Rate of change  = 0.5

Initial value = 120

4 0
3 years ago
Other questions:
  • The standard deviation of the sampling distribution of the sample mean is $115,000. The population standard deviation was $25,00
    9·1 answer
  • What is the standard form equation of the line shown below
    11·1 answer
  • For the given angle measure, find the measure of a supplementary angle and the measure of a complementary angle, if possible.
    14·1 answer
  • What is the 8th term in the sequence?<br><br><br> an=25−3n
    12·1 answer
  • Y is 32 when x is 4
    12·1 answer
  • How many permutations exist of the letters a, b, c, d taken four at a time?
    6·1 answer
  • PLS HELP. AND SHOW WORK !!! NO BOTS PLS IM TIRED
    12·1 answer
  • Which of the following is a solution to the system of equations? y= 3x+24<br> y=10-0.5x
    7·1 answer
  • Which equation will help you solve this problem?
    7·2 answers
  • ( 3 × 10^ 6 ) + ( 3 × 10 ^6 )
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!