(cos2x-1). sin 3x = 0

The functions f(x) and g(x) combine to form a composite functions

The value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]

The functions are given as:

[tex]f(x) = \sqrt{2x[/tex]

[tex]g(x) = \sqrt{8x[/tex]

To calculate (fg)(x), we have:

[tex]f(x) = \sqrt{2x[/tex]

This gives

[tex]f(g(x)) = \sqrt{2g(x))[/tex]

Substitute [tex]g(x) = \sqrt{8x[/tex]

[tex]f(g(x)) = \sqrt{2*\sqrt{8x}[/tex]

Simplify

[tex]f(g(x)) = \sqrt{4\sqrt{2x}[/tex]

Hence, the value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]

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Answer:

f.g x = 4x

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Factor the equation.

x² - 24x - 52

Two numbers when multiplied equals to -52 and added equals to -24 are -26 and +2.

Therefore,

(x+2)(x-26) is the right answer.

Answer:

24

Step-by-step explanation:

To solve, subtract:

111-87= 24

Hope this helps!

Answer:

50.2in or 4.2ft

Step-by-step explanation:

This is a problem about proportions so I generally set up my problems like below. I just set some variable here to make it easier to refer back to the measurements for each. You don't have to do this, I am just showing it for clarity. I will convert everything to inches too. We need to find the real window height.

Mb = model building = 18in

Mw= model window = [tex]\frac{1}{9}[/tex]in

Rb = real building = 678ft = 8136in

Rw = real window = ?

[tex]\frac{Mw}{Mb}[/tex] = [tex]\frac{Rw}{Rb}[/tex]

[tex]\frac{1/9}{18}[/tex] = [tex]\frac{Rw}{8136}[/tex]

[tex]\frac{1}{9*18}[/tex] = [tex]\frac{Rw}{8136}[/tex]  

[tex]\frac{1}{162}[/tex] = [tex]\frac{Rw}{8136}[/tex]

[tex]\frac{1*8136}{162}[/tex]= [tex]\frac{8136*Rw}{8136}[/tex]

[tex]\frac{8136}{162}[/tex] = Rw

[tex]\frac{452}{9}[/tex] = Rw

Rw ≈ 50.2in ≈ 4.2ft

Answer:

X equals negative 11

Step-by-step explanation:

The angles in a triangle add up to be 180 degrees, and we already have 80 as one angle and 60 as the other. That equals 140 degrees. But now we have x+51. That would equal 191 degrees, so 191-180=11, so x= -11

Answer:

x=-11

What we know=

Angles A'=x+51

Angle B=60

Angle C=80

Angle B' and C'=?

Due to the vertically opposite angle rule, we know angle B' and C' are the same as angle B and C.

So, angle B' is 60 degrees. Angle C' is 80 degrees.

We can add them together to get 140 degrees.

So we have 140, x+51. We can make an equation.

[tex]180=140+51+x[/tex] We can combine like terms (140 and 51) to get 191

A triangle only adds up to 180 degrees. So now you can subtract 180-191=to get x.

Answer:

about 0.10 cents a unit

Step-by-step explanation:

If I'm wrong, I'm sorry!!

I hope you have a great day! Good luck with your math!

Answer:

no answer sorry I only study in class 7

Answer:

f=-2.75

Step-by-step explanation:

2(f-2)=3(2f+5)-8

2f-4=6f+15-8

2f-6f=7+4

-4f=11

f=-11÷4

=-11/4=-2/3/4=-2.75

0.167

Step-by-step explanation:

5 ÷ 29.95

= 5 ÷ 2995/100

= 5 × 100/2995

= 500/2995

≈ 0.167

Answer: OPTION A. 72

To find the difference beetween two numbers we need to subtract them.

So we need to figure out 46- (-26)

⇒46-(-26)

AS WE HAVE A NEGATIVE SIGN OUTSIDE THE BRACKET AND A NEGATIVE SIGN INSIDE THE BRACKET TO, THE NEGATIVE SIGN WILL GET MUTILPLIED TO THE NEGATIVE BEFORE THE BRACKET THUS WE WILL HAVE -×- AND WHEN SIGN IS MULTIPLIED WITH A NOTHER NEGATIV ESIGN THE PRODUCT IS POSITIVE SIGN SO,

46+26

⇒72

9.055

Step-by-step explanation:

distance

= √(x₁ - x₂)² + (y₁ - y₂)

= √[7 - (-2)]² + [-5 - (-4)]²

= √[9]² + [-1]²

= √(81 + 1)

= √82

≈ 9.055

Answer:        -0.9555556

Step-by-step explanation:

The second part of the trip took 1.5 hours.

Average Speed is the ratio of the total distance travelled to the total time taken to cover that distance. It is given by:

Average Speed = total distance ÷ total time

Given that the distance from the house to the tournament is 210 miles, hence:

Total distance = 210 miles

Also, The journey was in two parts, the first part took 2 hours. Let the second part take t hours. Therefore:

Total time = t + 2

The average speed of 60 miles per hour, hence:

60 = 210 ÷ (t + 2)

60(t + 2) = 210

60t + 120 = 210

60t = 90

t = 1.5 hours

Therefore the second part of the trip took 1.5 hours.

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Answer:D

total 450 marks 90 of which are maths

90/450= 0.2

0.2=20%

20% is D

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

90/450=2/10

Answer:

bottom right corner

Step-by-step explanation:

Answer:

Step-by-step explanation:

Scatter plots' primary uses are to observe and show relationships between two numeric variables. ... Relationships between variables can be described in many ways: positive or negative, strong or weak, linear or nonlinear. A scatter plot can also be useful for identifying other patterns in data.

Steps

38 + 7k = 8k + 32

38 + 7k - 38 = 8k + 32 - 38

7k = 8k - 6

7k - 8k = 8k - 6 - 8k

-k = -6

-k/-1 = -6/-1

k = 6

Answer

k = 6

Answer:

(x + y) : (2x-3y) = - 7/11

Step-by-step explanation:

The ratio is denoting:

x = 2

y = 5

Substitute your values into the equation's variables (x and y). Then solve.

(x + y) : (2x-3y)

(2 + 5 ) : [2(2) - 3(5) }

7 : [4-15]

7: -11

ratios can be turned into fractions.

7: -11 is the same thing as - 7/11

Answer:

y= 3 when x= 0

y=3

Step-by-step explanation:

in the problem, there's a patten in the difference of X and Y,

at first, Y is 3 more than X (2 and 5)

then y is 4 more, 5 more, and 6 more.

y goes up by 1 each time

so if Y is 5 when X is 2, then when X is 1 Y is 4

when X is 0 Y is 3

Answer:

2?

Step-by-step explanation:

y is adding by 3 every time...

Maybe that helps?

Step-by-step explanation:

the intersection of the interval: (-∞, 7) and [-5, +∞)

is [-5, 7)

and the union of the interval: (-∞, 7) and [-5, +∞)

is (-oo, +oo)

Answer:

Q = 51,  S = 51,  R = 78

Answer:

Statement should be : "4 less than the product of 3 and some number x is y" => 3x-4 = y

Step-by-step explanation:

Let "Four less than the product of three and n"

From the given statement we get an algebraic expression 3x - 4 = y.

An algebraic expression in mathematics exists as an expression that stands created up of variables and constants, along with algebraic operations like addition, subtraction, etc. x exists a variable, whose value exists unspecified to us and can take any value.

An algebraic expression exists as an indication acquired by a finite number of the fundamental operations of algebra upon characters symbolizing numbers.

Let "Four less than the product of three and n". From the given statement we get an algebraic expression 3x - 4 = y.

To learn more about algebraic expression

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Answer:

Step-by-step explanation:

Solve the equation for 0 and 1:

x^3 + 6x -5

Replace x with 0:

0^3 + 6(0) -5 = -5

Replace x with 1:

1^3 + 6(1) -5 = 1+6 -5 = 2

Because the value of f(0) is negative and the value of f(1) is positive then there is at least one value of x between 0 and 1 that f(x) = 0

Answer:

9 hours

Step-by-step explanation:

12 minus 7.5 equals 4.5 add 4.5 from 4:30 you get 9

Answer:

option C 5×10-6 is right answer

Answer:

[tex]c \: ) \: 5 \times 10 - 6[/tex]

c is the answer