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
PtichkaEL [24]
3 years ago
8

Which of the following would best represent a cosine function with an amplitude of 2, a period of pi over 3, and a midline at y

= 1?
f(x) = cos(x − pi over 3) + 2
f(x) = 2 cos(x − pi over 3) + 1
f(x) = −2 cos 6x + 1
f(x) = −cos 6x + 2
Mathematics
2 answers:
hodyreva [135]3 years ago
8 0
F(x) = −2 cos 6x + 1
OleMash [197]3 years ago
3 0
C. f(x) = – 2 cos 6x + 1

Start by determining the amplitude. Since we've deduced the amplitude is 2, the equation can include either a positive or negative 2 (since amplitude measures absolute value).

Next is the period. The equation for period P is P = (2pi)/b. If P is pi/3, then
pi/3 = (2pi)/b. Thus your b value should be 6.

Finally, the midline would be given by + 1 since adding a unit shifts the function upwards. This means that instead of the highest y value being 2 and the lowest -2, instead you'd have values of 3 and -1.
(3 – 1)/2 = 1 (midpoint theory).
You might be interested in
Work out 140-3^2×(8+4)+6÷2
kiruha [24]

Answer:

140 - 9 (12) + 3

140 - 108 +3

140 - 111

= 29

4 0
3 years ago
HELP!!
WITCHER [35]

The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle m∠K is 102° so option (B) is correct.

<h3>What is a triangle?</h3>

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are 3 sides and three angles in every triangle, some of which may be the same.

Triangle is a very common figure to deal with in our daily life.

It is known that the sum of all three angles inside a triangle will be 180°.

So,   m∠A +  m∠B +  m∠C = 180°

m∠C = 180° - 58° -  44°

m∠C = 78°.

The exterior angle of C = 180- 78 = 102°.

Hence "The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle to m∠K is 102°".

For more about triangles,

brainly.com/question/2773823

 

#SPJ1

 

5 0
1 year ago
Read 2 more answers
There are 450 vehicles in a car lot. Select the correct value for the umber of vehicles of each type that are in the lot. Hybrid
GenaCL600 [577]
Hybrid 126
sport utility 90
sedan 234
5 0
3 years ago
Read 2 more answers
A hexagonal pyramid is cut by a plane as shown in the diagram. What is the shape of the resulting cross section? see diagram
Alenkasestr [34]

From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.

Answer: resulting cross section is a hexagon, correct choice is option 4.

9 0
3 years ago
Read 2 more answers
The graph below shows the solution to a system of inequalities: Solid line joining ordered pairs 0, 3.75 and 15, 0. Shade the po
algol [13]
(0,3.75)(15,0)
slope(m) = (0 - 3.75) / (15 - 0) = -3.75/15 = - 0.25 or -1/4

y = mx + b
slope(m) = -1/4
(15,0)...x = 15 and y = 0
now we sub
0 = -1/4(15) + b
0 = -15/4 + b
15/4 = b

y = -1/4x + 15/4
1/4x + y = 15/4....multiply by 4
x + 4y = 15.....and since it is a solid line, it contains an equal sign...and since it is shaded above the line, it is greater.
so ur inequality is : x + 4y > = 15 (thats greater then or equal)
4 0
3 years ago
Read 2 more answers
Other questions:
  • a company is offering a job with a salry of 30000 for the first year and a 5% raise each year after that If the 5% raise continu
    14·1 answer
  • What is the area of triangle PQR?
    6·2 answers
  • What is the radius of a circle with circumference 56 in?
    8·1 answer
  • What is the algebraic expression for the quotient of j and 8
    15·1 answer
  • If angela swims 1700 meters in 40 minutes what is her unit ratio?
    11·2 answers
  • The table lists several points that form a line on a coordinate plane.
    8·1 answer
  • Find the geometric mean of the pair of numbers. 2 and 6
    13·1 answer
  • If 2a - 8 = 4 and 3b - 8 = 10, what is the value of a + b?
    13·1 answer
  • Given the values of x and y find the exact (fraction) values of all six trig ratios
    8·1 answer
  • What is vaule of f^-1 (-4)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!