Mathematics High School

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

find solution and show work for: (3.4^17)4

Answers

Answer:

231.2

Step-by-step explanation:

first multiply 34 and 17 which will give you 578. Then put the decimal after the 7 because you only have one decimal in the tenths place: 57.8. Then multiply 578 by 4: 2312. Then put the decimal after the 1 to get 231.2

(–1) + 5 – (–6) – 5 =

Answers

Answer:

The answer is 5

Answer:

The answer is 5

Step-by-step explanation:

Are Figures A and B congruent? Explain your reasoning.

Answers

Answer:

no

Step-by-step explanation:

figure b is wider than figure a

Answer:

no

Step-by-step explanation:

figure b is wider than figure a

a 95% confidence interval is found to be (24, 30). The sample standard deviation is 7.5, and the sample size is 25. If you wanted a smaller interval what could you do?
A. increase the confidence level to 99.7%.
B. increase the sample size to 36.
C. decrease the sample size to 20.
D. None of these.

Answers

Answer:B. Increase the sample size to 36

Step-by-step explanation:

First of all, the size of the sample must be greater than 30. Then the correct option is B.

What is a normal distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

A 95% confidence interval is found to be (24, 30).

The sample standard deviation is 7.5, and the sample size is 25.

First of all, the size of the sample must be greater than 30. Then we have to increase the sample size up to 36.

More about the normal distribution link is given below.

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Plz help! Is this right? Question is below!

Answers

Answer: I believe it's correct. Good Job! :D

I don't understand (I'm getting a tutor)​

Answers

Step-by-step explanation:

draw the last one by yourself.

im sure you can do it buddy.

good luck♥️♥️♥️♥️♥️.

What is the slope-intercept form of the linear equation 2x + 3y = 6? Drag and drop the appropriate number, symbol, or variable to each box ​

Answers

Answer:

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

Step-by-step explanation:

[tex]2x+3y=6\\\\2x+3y=6\\\\2x-2x+3y=6-2x\\\\3y=6-2x\\\\\frac{3y=6-2x}{3}\\\\ y=2-\frac{2}{3}x\\\\ \boxed{y=-\frac{2}{3}x+2}[/tex]

Hope this helps.

SOLVE QUESTION 3 PART A AND B !! WILL GIVE BRAINLIST ..

Answers

Answer:

28π, reasonable

Step-by-step explanation:

A. Circumference is 2πr (or dπ), so we plug in 14 for r

this leaves us with 2π14, in which the 2 and 14 can multiply, so we get 28π

B. if we plug 28π into the calculator, you'll get 87.96, so 85cm is reasonable

How do I simplify (-4x^2+2x-3)+(7-2x^2+x)???

Answers

Answer: -6x^2 + 3x + 4

Step-by-step explanation:


Jaime can spend at most $15 today. He buys a drink and a bag of Takis for
$1.59. If gasoline costs $2.89 per gallon, how many gallons of gasoline can
Jaime afford to put in his car?

Answers

Answer:

Jaime can afford 4.6 gallons of gas in his car

You are a photographer Acustomer wants you to make
a photographic display that is 4.} feet tall by 21 feet
wide. Each photograph is sa inches tall by 3 - inches
wide. The photographs are to be displayed with the
longer dimension vertical and with no overlaps.

How many photographs will fit on the display?

8
9
30
54
72

Answers

8 hope this helped yahwsah

A player took 12 shots and made 9. what percent did he make

Answers

Answer:

75 percent

Step-by-step explanation:

12 divided by 4 is 3 and three 3s is 75 percent (I know thats confusing but trust me)

The percentage of shots he make is 75%

What is percentage of a number?

The percentage of a number represents a portion or fraction of the whole number expressed as a fraction of 100. It is often used to describe a proportion or rate out of 100.

To calculate the percentage of a number, you typically multiply the number by the desired percentage as a decimal or fraction. The result represents the portion or fraction of the number expressed as a percentage.

The formula for calculating the percentage of a number is:

Percentage = (Number * Percentage Value) / 100.

Substituting the values into the formula above;

percentage = (9 / 12) * 100

percentage = (3/4) * 100

percentage = 0.75 * 100

Percentage = 75%

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the product of 5 and a number K is less than 60

Answers

Answer:

11

Step-by-step explanation:

The required inequality would be 5k < 60 which represents the product of 5, and the number K is less than 60.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

To determine the product of 5 and a number K is less than 60

Here the word "Product"  represents multiplication,

So the product of 5 and a number K would be 5×K = 5K

As per the given condition,

So the required inequality would be 5k < 60

Therefore, the required inequality would be 5k < 60 which represents the product of 5, and the number K is less than 60.

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The question seems to be incomplete the correct question would be

Find the inequality if the product of 5 and a number K is less than 60.

X square +1/2x+blank= 2+ blank

Answers

wait what are the blanks ?

Can someone help me ?please

Answers

Answer:

maybe try 672cm?

Write an equation in slope-intercept form for the line with slope 7 and y-intersept -7

Answers

Answer:

y = 7x - 7

Step-by-step explanation:

1st we can look at the meaning of a slope intercept equation

y = mx = b

m = the slope

b = the y-intercept

now when looking at your equation you can plug in your numbers.

y = 7x - 7 is your final answer

High Hopes ^^

Barry-

why is algebra so hard ​

Answers

C. She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.
The correct answer is C.

1.The sales tax for a $49.30 sandals with a 8.25% sales tax is $
2.The total cost of the sandals is $

Answers

Answer:

$53.36

Step-by-step explanation

Simplify each of the following expressions and then put each simplified expression in order from greatest to least. −6+(−2) 2−6−2 2(−2)−2 −6+2 (−2−6)+22 6−(−2) −6−2 6+(−2) 2(−6)÷(−2) (−2)(6)

Answers

Answer:

8,6,4,3,2,-3,-4,-6,-8,-12

Step-by-step explanation:

Answer:

8

,

6

,

4

,

3

,

2

,

−

3

,

−

4

,

−

6

,

−

8

,

−

12

Step-by-step explanation:

rationalise the denominator of 5√7 / √5

Answers

Question

Rationalize the denominator of 5√7/ √5

Answer

5√7 / √5

=> 5√7/√5×√5/√5

=> 5√7×5/(√5)^2

=> 5√35/5

=>√35

=> 5√7

So, the required answer is 5√7 .

given : 2x+8=5x-13; prove x=7

Answers

Answer:

True

Step-by-step explanation:

The left side  22  is equal to the right side  22 , which means that the given statement is always true.

Step-by-step explanation:

If we want to prove that x is equal to seven, we should first solve the equation for x so:

2x + 8 = 5x - 13

We should first add 13 on both sides and subtract 2x from both sides:

2x + 8 + 13 - 2x = 5x - 13 + 13 - 2x

21 = 3x

We can then divide both sides by 3 to get:

x = 7

Divide. Write in simplest form.

2/3 divided by 1/5

Answers

Answer:

3 1/3 or 3.3(repeated)

Step-by-step explanation:

2/3 ÷ 1/5

= 2/3 × 5

= 10/3

= 3 1/3 or 3.3(repeated)

I hope this helped!

How would a line with the fraction (below the graph) look like on a graph. How do you know? PLEASE HELP!!! LOTS OF POINTS!!!

Answers

Answer:the line would be going down because - 5/3 is negative

Step-by-step explanation:the line would have a slope of - 5/3 so 5 down 3 right

Find the greatest common factor of 20 and 32.
A. 11
B. 8
C. 4
D. 2

Answers

Answer:

C

Step-by-step explanation:

A ladder is placed against a wall. The foot of the ladder is 3 feet away from the wall and the top of the ladder hits the wall 15 feet off the ground. What is the slope of the ladder?

Answers

Answer:

Slope = 15.2970585

Step-by-step explanation:

(9,3) (0, 12) dtermine the slope of the line

Answers

Answer:

-1

Step-by-step explanation:

(9,3) (0,12)

(x1,y1) (x2,y2)

to find the slope, use this equation:

y2-y1/x2-x1

12-3/0-9

the slope is 9/-9 = -1

You deposit $1,200 in a savings account that earns simple interest at a rate of 3% per year. How much interest will you have earned after 3 years? Formula I= Prt

Answers

Answer: $ 1,311.27

Step-by-step explanation:

Hope this helps!

School was starting and James had $300 to spend on clothes. He bought a pair of shoes for$62.50, 3 shirts for $17.25 each, and 5 pairs of jeans at $27.75 each. How much change will James get back? *

Answers

Answer:

$47

Step-by-step explanation:

Multiply the quantities of each by the prices, then add it all together to find total spent. Subtract total spent from what he has to spend to find the change:

3 shirts x 17.25 = 51.75

5 jeans x 27.75 = 138.75

Total pent : 62.50 + 51.75 + 138.75 = $253.00

Change : 300 - 253 = $47.00

What is 18.75 divided by 1 and 1/2

Answers

Answer:  12.5

18.75/1 ½ = 12.5

how do i simplify 6⁴ 6⁸ please help its dou today ​

Answers

Answer: 6^12 (or 2176782336)

When you multiply exponents with the same base, you add the exponents together. (e.g., x^m · x^n = x^m+n)

6^4 · 6^8 = 6^4+8 = 6^12

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