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
Six students are working to simplify the expression shown.
neonofarm [45]

Answer:

it's going to be

-8x^2+14x^2+4y+y-5-1=

6x^2+5y-6

Step-by-step explanation:

hope this is what u are looking for

have a nice day

4 0
3 years ago
Identify whether the function graphed has an odd or even degree and a positive or negative leading coefficient.
Shtirlitz [24]

Answer:

odd degree and positive leading coefficient

Step-by-step explanation:

From the graph , we can see that when x goes to infinity , y goes to infinity

As x--> ∞, y--> ∞ (As x increases the value of y increases on the positive side)

we can see that when x goes to -infinity , y goes to -infinity

As x--> -∞, y--> -∞ (As x decreases the value of y decreases on the negative side)

When x--> ∞, y--> ∞   and x--> -∞, y--> -∞

The leading coefficient is positive  and largest exponent is odd

So the graph has odd degree and positive leading coefficient


8 0
3 years ago
Lin ran 4 laps around the track in 5 minutes, if lin ran 21 laps, how long does it take her
lyudmila [28]

Answer:

26.25 min

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
5x^2 +3 = -122 a. no solution b. -5 c. +‐5 d. +- 25​
Finger [1]

Answer:

I put it in the calc and it got

x=5i,−5i

6 0
3 years ago
Read 2 more answers
Use the equation below to find v, if u = 18, a=6, and t =4. V=u+at​
Anastaziya [24]

Answer:42

Step-by-step explanation:

V= 18 + 6(4)

V= 18 + 24

V= 42

7 0
3 years ago
Read 2 more answers
Other questions:
  • What are rational exponents, and how are they related to integer exponents?
    11·1 answer
  • Please help with this
    12·1 answer
  • -5 ( x + 7) = -5x + 35
    13·2 answers
  • PLEASE HELP ME ASAP WILL MARK BARINLIEST
    8·1 answer
  • Hayley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week, and her brother is spending $15 each
    13·2 answers
  • Using traditional methods, it takes 9696 hours to receive a basic flying license. A new license training method using Computer A
    15·1 answer
  • Some high-school students held a bake sale recently to raise money for a field trip. They charged $7 for fruit pies and $10 for
    9·1 answer
  • A person who is six feet tall casts a 3-foot-long shadow. A nearby pine tree casts a 15-foot-long shadow.
    9·1 answer
  • Find an equation in slope-intercept form of the line that has a slope -7 and passes through point A(-7, -2)
    13·1 answer
  • Help 50 points and brainlest only if you answer all the questions
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!