Over which interval is the graph of y = cos(x) strictly increasing?


0 less-than x less-than StartFraction pi Over 2 EndFraction

0 < x < π

StartFraction pi Over 2 EndFraction less-than x less-than StartFraction 3 pi Over 2 EndFraction

π < x < 2π

Over Which Interval Is The Graph Of Y = Cos(x) Strictly Increasing?0 Less-than X Less-than StartFraction

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

The interval at which the graph of y = cos x is strictly increasing is

π < x < 2π.

Option D is the correct answer.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

y = cos x

Cos π = cos (π/2 + π/2) = Sin π/2 = 1

Cos 2π = Cos (π + π) = - Cos π = - Cos (π/2 + π/2) = - Sin π/2 = -1

We see that,

y = Cos x is strictly increasing from -1 to 1.

Thus,

y = cos x is strictly increasing from π < x  < 2π.

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Related Questions

how do you find the area of triangle?

Answers

Answer: Use the formula A=1/2bh. A is the area, B is the base, and H is the height. It is pretty straight forward from there.

Step-by-step explanation:

more math. mann I hate this

Answers

Answer:

19 miles

Step-by-step explanation:

If they had to ride 342 split by 18 horses, divide 342 by 18 to get 19

Answer:

They rode 19 miles before replacing each horse.

Step-by-step explanation:

This problem can be represented as:

[tex]\frac{342 miles}{18 horses}[/tex]

To find the number of miles per horse simply divide 342 by 18. You will get your answer of:

[tex]\frac{19 miles}{1 horse}[/tex]

PLEASE HELP ME
I really really really need help

Answers

Answer:

c

Step-by-step explanation:

Tell whether the two ratios are proportional or not proportional 3/7=6/9

Answers

NO they are not proportional

3/7 = .4285714
6/9 = .66666

The table lists the number of students from Windy Brook Middle School at the state fair. What is the ratio of sixth graders to the total number of students at the fair?

5th grade=6
6th grade=4
7th grade=5
8th grade=3

Answers

Answer:

2 : 9

Step-by-step explanation:

First find the total number

6+4+5+3 = 18

6th graders : total

4 : 18

Divide each side by 2

4/2:   18/2

2 : 9

I'll give brainliest!!! please help!!!

Why was Marian Anderson not allowed to sing at Constitution Hall?


Anderson had spoken out against the Daughters of the American Revolution (DAR), who owned the venue at the time.


Constitution Hall was owned by the Daughters of the American Revolution (DAR), who refused to let African Americans perform there.


Anderson was not yet famous enough when her manager tried to book a concert date at Constitution Hall.


Constitution Hall was undergoing some major renovations, so no one was able to schedule a performance there.

Answers

Answer:

Constitution Hall was owned by the Daughters of the American Revolution (DAR), who refused to let African Americans perform there.

Step-by-step explanation:

The Daughters of the American Revolution proudly practices a non-discrimination policy and encourages and celebrates diversity in our organization. However, in 1939, opera singer Marian Anderson was denied the opportunity to perform in DAR Constitution Hall because of her race.

If this was helpful please mark brainliest

Answer:

The answer is ,,the nation-wide recognition that Marian Anderson received for her cause,,

Step-by-step explanation:

One leg of a 45°-45°-90° triangle is 3.
Find the length of the hypotenuse.

Answers

The answer should be 3 square root 2

(02.05 LC)

Triangle PQR is transformed to similar triangle P'Q'R'.

A coordinate grid is shown from negative 10 to 0 to positive 10 on both x- and y-axes at increments of 1. A triangle PQR has P at ordered pair 3, 3, Q at 6, 3, R at 3, 6. A polygon P prime Q prime R prime has P prime at ordered pair 1, 1, Q prime at ordered pair 2, 1, R prime at ordered pair 1, 2.

What is the scale factor of dilation?

1 over 2
1 over 3
1 over 4
1 over 5

Answers

Answer: 1 over 2

Step-by-step explanation: if you take the coordinates of the pre-image, letter A. which is (2,6) and the coordinates of the transformed image A’ which is (1,3) and only use the first number of the coordinates. You would put the number of of the pre-image as the denominator and the number of the transformed image as the numerator. And It would become 1/2.

[tex]Question[/tex]

A coordinate grid is shown from negative 10 to 0 to positive 10 on both x- and y-axes at increments of 1. A triangle PQR has P at ordered pair 3, 3, Q at 6, 3, R at 3, 6. A polygon P prime Q prime R prime has P prime at ordered pair 1, 1, Q prime at ordered pair 2, 1, R prime at ordered pair 1, 2.

What is the scale factor of dilation?

1 over 2

1 over 3

1 over 4

1 over 5

Answer:

The Answer Is 1 Over 2 :D

Step-by-step explanation:

Hope this Helps!!

I’ll give brainliest

Answers

Answer: a

Step-by-step explanation:

What are the next three terms of the geometric sequence 32, -16, 8, …?
a.
2, 1, 1/2
c.
-8, 16, -32
b.
4, 2, 1
d.
-4, 2, -1

Answers

Answer:

B is your answeer

Step-by-step explanation:

GL hope i helped<333!!

5. Arrange the following interest rates in ascending order (least to greatest):
4.72
4 1/4
4.168
4 1/5
4 1/6
4.22

Answers

4 1/6, 4.168, 4 1/5, 4.22, 4 1/4, 4.72

Graph f(x) = 4[x] + 5

Answers

Step-by-step explanation:

slope is 4, y-intercept is (0,5)

The graph of function f(x) = 4[x] + 5 described below

The given function is

f(x) = 4[x] + 5

Here [ ]  represents greatest integer function

We know that

The greatest integer function is one that returns an integer that is closer to the provided actual value.

It is also known as the step function.

The biggest integer function returns the nearest integer to the provided number.

As a result, the formula for finding the biggest integer is rather straightforward.

It is denoted by the symbol [x], where x can be any value.

Now plotting the graph of function.

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Quadration Equation
X^2 - 6x - 7 = 0

Answers

Answer:

x = - 1, x = 7

Step-by-step explanation:

Given

x² - 6x - 7 = 0

Consider the factors of the constant term (- 7) which sum to give the coefficient of the x- term (- 6)

The factors are - 7 and + 1, since

- 7 × 1 = - 7 and - 7 + 1 = - 6, thus

(x - 7)(x + 1) = 0

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 1 = 0 ⇒ x = - 1

Please answer correctly !!!!!!!! Will mark brainliest answer !!!!!!!!!!! Show your work !!!!!!!!!!!

Answers

Answer:

4x +8= 20

2x+3= 9

Step-by-step explanation:

4 times 3 equals 12 and 12+8 = 20

2 times 3 is 6 and 6+3=9

Answer:

4x+8=20

2x+3=9

Step-by-step explanation:

I used substitution.

I substituted x with 3 so

4(3)+8=20

same with the other one,

2(3)+3=9

Hope this helped!

PLEASE HURRY, IT'S MISSING!!

Answers

Answer:

cant solve it

Step-by-step explanation:

Ernest works in the shipping department at Wal-Mart. Each
Empty crate weighs 150 lbs. How many boxes, each weighing 35
lbs. can Ernest put in the crate if the total weight is to be at most 850
Ibs?

Answers

Max weight of the crate - the empty crate/ by 35 (the weight of the individual boxes)

850-150=700

700 lbs is the remaining weight available that can be filled with 35 lb boxes, to find out the number of boxes that can be added to the crate, divide 700 by 35.

700/35 = 20

Ernest can put in 20 boxes in the crate.

I NEED HELP RIGHT NOW!!
Jenine is twice as old as her brother Mark. If the sum of their ages is 24, How hole is Jenine?

Answers

Jenine= 2M (M is Mark)
Mark= 1M

2M+1M=24
3M=24 (Divide 24 by 3)
=8
Mark is 8, two times that is 16
***THE ANSWER IS 16***

Mr. Rodriguez bought 3 large cans of tomato soup for $8.37. Find the unit rate for one can of tomato soup.

Answers

Answer:

It is $2.79

Step-by-step explanation:

You take $8.37 and divide it by 3 then you get $2.79. So for 1 can its $2.79.

you need to divide 8.37 by 3

Can someone please help me on the question that i asked ???? pleases will mark brainleist

Answers

Answer:

2.75

Step-by-step explanation:

Here you go!
(3/4) / (1/3)
(3/4) * 3 = 9/4 = 2 1/4

what is 2 3/4 - 5/16​

Answers

Answer:

2 7/16

Step-by-step explanation:

multiply both top and bottom of 2 3/4 to make it 12/16 then subtract from there.

Answer: 2 7/16

Step-by-step explanation: Your Welcome!

Can y’all help I don’t know how to do these

Answers

Answer:

The measure of angle 6 is 62 degrees.

The measure of angle 3 is 64 degrees.

The measure of angle 8 is 54 degrees.

The measure of angle 4 is 64 degrees.

The measure of angle 12 is 32 degrees.

Step-by-step explanation:

HELP THiS IS DUE In 30 MINUTES

Answers

Answer:

undefined

Step-by-step explanation:

The x coordinate of the two points are the same, while the y values are different. This means that the line is vertical. A vertical line does not have a defined slope, because the change in y divided by the change in x is dividing by zero. Therefore, the answer is "undefined"

Answer:

The slope of the line is undefined.

Step-by-step explanation:

Using the point slope formula, in the end, you will get -7 over 0. Since a zero is in the bottom, the slope is considered undefined.

multiply the polynomials
(x-6)(x2+2x-4)

Answers

Answer:

x³ - 4x² - 16x + 24

Step-by-step explanation:

Step 1: Write expression

(x - 6)(x² + 2x - 4)

Step 2: Distribute each term

x³ + 2x² - 4x

-6x² - 12x + 24

Step 3: Combine

x³ + 2x² - 4x - 6x² - 12x + 24

Step 4: Combine like terms

x³ - 4x² - 16x + 24

13+7²÷7/9-20÷4-16 equals ​

Answers

Answer:

45

Step-by-step explanation:

In his garden tim plants the seed 5 1/4 in. below the ground. After one month the tomato plant has grown a total of 11 1/2 in. How many inches is the plant above the ground?

Answers

Answer:

6 1/4

Step-by-step explanation:

Write equations of the horizontal and vertical lines that pass through (−5,−4).
Horizontal-
Vertical-

Answers

Answer:
Horizontal line:
y=-4
Vertical line:
x=-5

Explanation:
Equation of a horizontal line:
y=b
B is the y-intercept (the point on the line that crosses the y axis)

Equation of a vertical line:
x=d
D is the x-intercept (the point on the line that crosses the x axis)

To find the values of b and d, we just need to look at the coordinate and see what’s in place of the x and y variables.

(x,y)
(-5,-4)

-5 is the x coordinate and -4 is the y coordinate. Therefore,

y=-4
x=-5

I hope this helps! Please comment if you have any questions.


Find the equation of the perpendicular bisector of a line segment whose end points are (-3,9) and (-1,5)

Answers

First find the equation of y.

[tex]y=mx+n=\frac{\Delta y}{\Delta x}x+n[/tex]

Find the slope m.

[tex]m=\frac{5-9}{-1-3}=\frac{-4}{-4}=1[/tex].

Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.

[tex]9=1(-3)+n\implies n=12[/tex].

The equation of a line y is:

[tex]y=x+12[/tex].

The perpendicular line [tex]y_{\perp}[/tex] is same like the normal line except its slope m becomes:

[tex]k=-\frac{1}{m}=-1[/tex].

The equation of a perpendicular bisector is thus:

[tex]y_{\perp}=-x+12[/tex].

Hope this helps.

Answer:

[tex]y = \frac{1}{2} x + 3[/tex]

Step-by-step explanation:

Using the given points, first find the slope:

m = (₂ - y₁) / (x₂ - x₁)

   = (5 - 9) / (-1 - (-3))

   = -4 / 2

    = -2

Find y-intercept by using anyone of the give points and slope from above:

y = mx + b

5 = -2(-1) + b

5 = 2 + b

b = 3

With the m and b, you can make equation of line:

y = mx + b

y = -2x + 3

To find the perpendicular slope, make it opposite and inverse it.

m = -2 becomes 1/2

Regular equation of line:

y = -2x + 3

Perpendicular equation of line:

[tex]y = \frac{1}{2} x + 3[/tex]

The graph below shows the relationship between the number of dollars a worker earns and the number of hours worked.



What is the range of the function for this situation?

Answers

Answer:

C-All real numbers less than or equal to 40

Step-by-step explanation:

none of the other answers make any sense

Solve the system of equations by using substitution. Give your final answer in the form of an ordered pair.



5x - 2y = 26

y + 4 = x

Answers

5x -2y = 26. We know that x = y + 4. Substitute the value of x in and you get 5y + 20 - 2y = 26 If yous simplify this you get 3y + 20 = 26
Take away 20 from both sides and you end up with 3y = 6
Now did use both sides by 3

You end up with y = 2
Now to find x you just simplify the value of y into x = y + 4. You end up with x = 2 + 4. Now you know that y = 2 and. X = 6

there are some coloured pins in a bag

Answers

Answer:

Green is 0.3, Yellow is 0.1

There are 12 green pins in the bag

Step-by-step explanation:

The probability is the ratio between the possible outcomes over the total outcomes

The value of the probability of possible outcomes is greater than 0 and smaller than 1 (0 < P < 1)The sum of the probabilities of all outcomes must equal 1

∵ A bag contains some green, yellow, purple and grey pins

∵ The probability of picking a purple pin P(purple) = 0.35

∵ The probability of picking a grey pin P(grey) = 0.25

→ The total of all possible outcomes is 1

∴ The sum of the probability of green and yellow pins = 1 - 0.35 - 0.25

∴ The sum of the probability of green and yellow pins = 0.4

P(green) + P(yellow) = 0.4 ⇒ (1)

∵ The probability of picking a green pin is 3 times the probability

   of picking a yellow pin

P(green) = 3 P(yellow) ⇒ (2)

→ Substitute (2) in (1)

∴ 3 P(yellow) + P(yellow) = 0.4

∴ 4 P(yellow) = 0.4

→ Divide both sides by 4

P(yellow) = 0.1

∴ The probability of picking a yellow pin is 0.1

→ Substitute P(yellow) in (20 by 0.1

∴ P(green) = 3(0.1)

P(green) = 0.3

∴ The probability of picking a green pin is 0.3

∴ Green = 0.3, Yellow = 0.1

∵ There are 14 purple pins in the bag

∵ P(purple) = 0.35

0.35 of purple pins = 14

→ To find the total number of pins in the bag divide 14 by 0.35

∴ The total number of pins = 14 ÷ 0.35

The total number of pins = 40 pins

∵ P(green) = 0.3

∴ The number of green pins = 0.3 × 40

∴ The number of green pins = 12 pins

There are 12 green pins in the bag

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