What is 4cos2(165°) – 2 expressed as a single trigonometric function? 4cos(330°) 2cos(330°) 4cos(82.5°) 2cos(82.5°)

Answer:

Please find attached the graph of the quadratic function is created using Microsoft Excel

1) The line of symmetry is x = -1

2) The vertex is (-1, 2)

3) The y-intercept is (0, 1)

4) The domain is -∞ ≤ x ≤ ∞

5) The range is 2 ≥ y ≥ -∞

Step-by-step explanation:

The given equation is y = -x² - 2·x + 1

The general vertex form is y = a·(x - h)² + k

h = -b/(2·a) = 2/(-2) = -1

k = f(h) = -(-1)² - 2×(-1) + 1 = 2

Therefore;

1) The line of symmetry goes through the vertex and the line of symmetry is x = -1

2) The vertex = (h, k) = (-1, 2)

3) The y-intercept is the coordinate of the point where x = 0 which is  (0, 1)

4) The domain are the possible x-values, therefore, the domain = -∞ ≤ x ≤ ∞

5) The range is the possible values y-values.

From the graph, we have the range = 2 ≥ y ≥ -∞

The graph of the quadratic function is created using Microsoft Excel by generating y-values based on the equation and using the graphing function to insert a two dimensional graph of the generated combination of x and y values as shown in the attached figure.

Answer:I think D I just got off of this sorry if I’m wrong

Step-by-step explanation:

Answer:

choose c beacuse it is closer to and is not false

Step-by-step explanation:

:D

Step-by-step explanation:

Using FOIL:

(x + 3)(x + 9)

= (x)(x) + (x)(9) + (3)(x) + (3)(9)

= x² + 9x + 3x + 27

= x² + 12x + 27.

Answer:

ugh'

Step-by-step explanation:

12 and  4 i could be wrong sozStep-by-step explanation:

Answer:

The correct answers should be b and c

Step-by-step explanation:

|•-•|

Answer:

E is the answer

Step-by-step explanation:

hope it is helpful

Step-by-step explanation:

x/(x + 2) + 1/x = 1

x² + (x + 2) = x(x + 2)

x² + x + 2 = x² + 2x

x = 2.

Since x = 2 neither makes (x + 2) or x become 0, there are no extraneous solutions.

The answer is "The equation has 1 valid solution and no extraneous solutions." (C)

The true statement is (c) the equation has one valid solution and no extraneous solutions

The equation is given as:

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

Take LCM

[tex]\frac{x^2 + x + 2}{x(x + 2)} = 1[/tex]

Expand the numerator

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

Cross multiply

[tex]x^2 + x + 2 = x^2 + 2x[/tex]

Subtract x^2 from both sides

[tex]x + 2 = 2x[/tex]

Collect like terms

[tex]2x -x = 2[/tex]

[tex]x = 2[/tex]

Hence, the equation has one valid solution and no extraneous solutions

Read more about solutions of equations at:

https://brainly.com/question/1397278

Answer:

the degree of f(g(h(x))) is 12

Step-by-step explanation: I know you want simple and easy answers and thats what im here for, . :D

Answer:

D. 12

Step-by-step explanation:

Edge 2020

Step-by-step explanation:

78/ 3

= 26

26 leaves will be in each book

hope it helps!

Answer:

26

Step-by-step explanation:

78/3=26

Answer:

Step-by-step explanation:

Given the following statements

1. line RS || segment AB, ∠1=∠2

2. ∠B = ∠1

3. ∠A = ∠2

4. ∠A = ∠B

5. RA = RB

and the following reasons,

a) If lines ||, corresponding ∠'s are =

b) If two ∠'s of a triangle are =, sides opposite are =

b) If lines ||, alternate interior ∠'s =

c) Given

d) Substitution

we match the statements and the reasons to enable us prove the required proof.

Statement Reason

1. line RS || segment AB, ∠1=∠2 Given

2. ∠B = ∠1 If lines ||, corresponding ∠'s are =

3. ∠A = ∠2 If lines ||, alternate interior ∠'s =

4. ∠A = ∠B Substitution [because we are given that

∠1=∠2]

5. RA = RB If two ∠'s of a triangle are =, sides opposite are =

Answer:

Step-by-step explanation:

Answer:

Samuel's function will have the greatest rate of change.

Step-by-step explanation:

Samuel's rate of change is -15 as shown by the graph. Isaac's is -10, Samuel's has the greatest value because it will change more dramaticly.

Answer:

Angle 4,

Step-by-step explanation:

Partnership with angle 3, it'll make a 90 degree angle.

Answer:

37.5%

Step-by-step explanation:

OOF DIS COMPLICATED

I messed up big timeeeeeeeee

A lot of percent problem are very simple by just assuming values, especially in case the answer is also a percentage.

If there are 100 birds, 20% are tagged so 20 are tagged.

Out of the rest 80, 30 should be tagged so that a total of 50% are tagged.

30/80 = 37.5%

(The huge number given is unnecessary, just to make you waste your valuable time. Read the question again to realize that it is not needed.)

The percent of the untagged birds that must be tagged so that half of all birds in the refuge are tagged is 37.5%.

First step

Currently Tagged birds= 54210 ×20/100

Currently Tagged birds=10842

Second  step

Untagged birds=54210 - 10842

Untagged birds=43368

Third step

Untagged birds percentage:

Untagged birds percentage=( 54210/2)-10842/43368

Untagged birds percentage=(27105-10842)/43368

Untagged birds percentage=16263/43368

Untagged birds percentage=0.375×100

Untagged birds percentage=37.5%

Inconclusion the percent of the untagged birds that must be tagged so that half of all birds in the refuge are tagged is 37.5%.

Learn more about percentage here:https://brainly.com/question/24304697

Answer:

The correct option is (c).

Step-by-step explanation:

Lillian thinks that 7x⁵ - 4x³ is the same as 3x².

Option (a) :

7x⁵ - 4x³ = 3x²

It is wrong, as we cannot say directly that they are equal.

Option (b):

7x⁵ - 4x³ ≠ 3x²

It is wrong, as we cannot say directly that they are not equal.

Option (c):

7(2)⁵ - 4(2)³ = 3(2)²

LHS,

7(32) -4(8) = 192

RHS, 12

Here, LHS ≠ RHS

It is correct.

Option (d) :

7(2)⁵ × 4(2)³ = 3(2)²

Here, multiplication is done instead of addition. So, it is wrong.

Hence, the correct option is (c).

Answer:

dhdhrjfidgegehfr fhfn fhc fn dncc c. f byn

Step-by-step explanation:

h(t) = -16t² + 64t + 32

When h(t) = 80, -16t² + 64t + 32 = 80.

=> 16t² - 64t + 48 = 0

=> t² - 4t + 3 = 0

=> (t - 1)(t - 3) = 0

=> t = 1 or t = 3.

Hence the difference between the times is 2 seconds. (B)

Answer:

Fabian got $7.

Step-by-step explanation:

Isaiah gave $18 to his friends--Ricardo got $4, Jeremiah got $7, and Fabian got the rest. This needs a math equation!

4 + 7 + f = 18

where f is the amount of money Fabian got.

4 + 7 + f = 18

(subtract 4 from both sides)

7 + f = 14

(subtract 7 from both sides)

f = 7

It looks like Fabian got $7! Let's check just to make sure.

4 + 7 + f = 18

4 + 7 + (7) = 18

18 = 18

It checks out!

Answer:

first is correct

second should be

4a² + 5a

Answer:

Step-by-step explanation:

Wheelbarrows  is 30/3 = 10

Pair of shoes is (18 - 10) /2 = 4 so one shoe is 2

2 Seed bags is 4 - 2 = 2 so one bag is 1

Answer is 1(seed baf) + 10(wheelbarrows X 2(shoe) = 21

This question is incomplete

Complete Question:

The trail around Mirror Lake in Yosemite National Park is 5 miles long.

The tables below show the fraction of miles each hiked:

Hiker Fraction of miles hiked

Andrea 2/5

Jon 1/2

Callie 4/5

9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?

10. What fraction describes how much more of the trail Callie hiked than Jon hiked?

Answer:

9. 1/10

10. 3/10

Step-by-step explanation:

9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?

This is calculated as the number of miles Jon hiked - The number of miles Andrea hiked

1/2 - 2/5

= The Lowest Common Denominator is 10

= [(5 × 1) - (2 × 2)] /10

= [5 - 4] /10

= 1/10

The fraction that describes how much more of the trail Jon hiked than Andrea hiked is 1/10

10. What fraction describes how much more of the trail Callie hiked than Jon hiked?

This is calculated as the number of miles Callie hiked - The number of miles Jon hiked

4/5 - 1/2

= The Lowest Common Denominator is 10

= [(4 × 2) - (1 × 5)] /10

= [8 - 5] /10

= 3/10

The fraction describes how much more of the trail Callie hiked than Jon hiked is 3/10

Option B is the correct answer.

2(-22+20)

=> -44+40

Hope it helps!

Answer:

Both of them are correct....

Answer:

y = 5.064 - 0.010x

Here, in this question x = 33

y = 4.734 million views

In this question data is missing and I filled it out and calculated the questions accordingly. Please refer to the attachment for the data calculated.

Step-by-step explanation:

First of all, this question is incomplete. It lacks the data needed to calculate the required things.

So, I  figured out the question and I will try my best to solve the question at hand.

I have calculated the some data sheet in excel. Please refer to the attachment for that data.

let a be the salaries

b be the viewers

[tex]S_{aa}[/tex] = ∑[tex]a^{2}[/tex]  - [tex]\frac{ Summtion a^{2} }{n}[/tex]

[tex]S_{aa}[/tex] = 7522.8571

[tex]S_{bb}[/tex] = ∑[tex]b^{2}[/tex]  - [tex]\frac{ Summtion b^{2} }{n}[/tex]

[tex]S_{bb}[/tex] = 47.1943

[tex]S_{ab}[/tex] = ∑[tex]ab^{}[/tex]  - [tex]\frac{ Summtion a x Summation b^{} }{n}[/tex]

[tex]S_{ab}[/tex] = -76.8286

Now the slope of the required regression equation is:

Slope =  [tex]S_{ab}[/tex]/[tex]S_{aa}[/tex] = -76.8286/7522.8571 = -0.010

And the intercept of the required regression equation:

intercept = [tex]\frac{1}{n}[/tex] x (∑b - slope x ∑a) = 5.064

So, the regression equation will be:

y = intercept + slope x

y = 5.064 - 0.010x

Here, in this question x = 33

y = 5.064 - 0.010 (33)

y = 4.734 million views

Answer:

[tex]\displaystyle m=\frac{3}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (2, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

Chad's claim is incorrect

Step-by-step explanation:

The homework problems that complete the question are:

[tex]3x^2.2x^4[/tex]

[tex]5 - 2x = 3x[/tex]

[tex]3(2x + 7)[/tex]

[tex]7x^2 +2x -3x^2 -9[/tex]

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

Required

Is Char right?

From the homework problems above, there are 5 mathematical problems

So:

Chad's claim that he had 5 equations.

A mathematical expression is an equation if it has an = sign

So for Chad's claim to be correct; at least 4 of the mathematical problems must have an = sign

By the explanation done above, we have the following observations

[tex]3x^2.2x^4[/tex] -> No Equation

[tex]5 - 2x = 3x[/tex] -> Equation

[tex]3(2x + 7)[/tex] -> No Equation

[tex]7x^2 +2x -3x^2 -9[/tex] -> No Equation

[tex]\frac{2}{3} = \frac{x+2}{6}[/tex]  -> Equation

Apparently, only 2 of the 5 problems are equation.

Hence, Chad's claim is incorrect.

Use the formula,

I = Prt

P = Principal amount = 400

I  = interest = 18

r = annual rate

t = time in years = 9/12 = 3/4

so,

18 = 400*r*3/4

r =  0.06

so the annual interest rate is 0.06 or 6%.

Answer: The first one :)

Step-by-step explanation:

Answer:

it's a)25

Step-by-step explanation:

angle MHL and JHN+NHK should be the same, they both are 95 degrees

Answer:

45°

Step-by-step explanation:

first of all find X

(3x+20) - (x+25) =x + 20

3x+20-x-25=x+20

3x-x+20-25=x+20

2x-5=x+20

collect like terms

2x-x=20+5

x=25°

recall JHN= (x+20)°

x=25

JHN=((25)+20)°

JHN=(25+20)°

JHN=45°

Hope it is helpful

Answer:

Each payment should be £172.5

Step-by-step explanation:

Cost of electricity for next year = £600

Administration charge = 15%

Daryl wants to pay in four equal instalments throughout the year,

How much should each payment be?

First we need to find the total cost of bill by adding 15% of administration charge by finding 15% of 600

[tex]15\% \:of\: 600\\=\frac{15}{100}\times 600\\= 90[/tex]

So, 15% of 600 is 90

Now adding 90 into the electricity cost:

600+90

= 690

Now, the total cost of electricity bill is £690

Daryl wants to pay in four equal instalments.

So, divide 690 by 4

Each payment for instalments is: [tex]\frac{690}{4} = 172.5[/tex]

So, Each payment should be £172.5

Answer:

He spend $4.27 i guess

Step-by-step explanation:

prove me wrong