How many solutions does the following equation have? 3(2x−4) =2(3x−6)

Answer:

172.8 m^2

Step-by-step explanation:

7.2/2 = 3.6

3.6*4.8 = 17.28

17.28*10 = 172.8

Answer:

sale price

Step-by-step explanation:

price of an item that is being offered at a lower price than usual

Answer:

c=__ and a=__

Step-by-step explanation:

767.50=1.25(c)+2.25(a).

366=c+a

normally from here, I would just guess the number of adults and children. It does take a while doing it that way, but maybe you know a quicker way. Hope this helps :)

Answer:

7,13,31,85,247......

Step-by-step explanation:

[tex]a_n =3^n + 4[/tex]

        [tex]\sf a_1=3^1 + 4 = 3 + 4 = 7\\\\a_2 = 3^2 + 4 = 9 + 4 = 13\\\\a_3 = 3^3 + 4 = 27 + 4 = 31\\\\a_4 = 3^4 + 4 = 81 + 4 = 85\\\\a_5 = 3^5 + 4 = 243 + 4 = 247[/tex]

Answer:

10

Step-by-step explanation:

48-20=28

28-18=10

that is how I see it at least

Answer:

The common difference is the difference between any two consecutive terms in an arithmetic sequence.

The formula which is used to find the common difference in AP is

d = an - an-1

Here the common difference is

d = a2 - a1 = 8 - 2 = 6

d = a3 - a2 = 14 - 8 = 6

d = a4 - a3 = 20 - 14 = 6

d = a5 - a4 = 26 - 20 = 6

2, 8, 14, 20, 26 … = 2, (2 + 6), (8 + 6), (14 + 6), (20+ 6) …

Therefore, the common difference is 6.

Step-by-step explanation:

Using it's concept, it is found that the inequality represents the domain of the exponential piece is:

d) [tex]x \leq -2[/tex].

The domain of a function is the set that contains all possible input values.

Researching this problem on the internet, we have that the function is divided as follows:

Hence, for the domain of the exponential piece, option d is correct.

More can be learned about the domain of a function at https://brainly.com/question/10891721

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Answer:

The angle is acute. This type of angle must be between 0° and 90°, and Orla's estimate is not.

Answer:

f(4) = 25

Step-by-step explanation:

substitute x = 4 into f(x)

f(4) = 2(4)² - 7 = 2(16) - 7 = 32 - 7 = 25

Answer:

Step-by-step explanation:

Perimeter of larger sail

Now

Let shorter sail's Perimeter be x

#2

Let they be 2x and 7x

Smaller angle

Answer:

[tex]\huge\boxed{\bf\:tan \: Z= \frac{4}{3}}[/tex]

Step-by-step explanation:

We know that, tan θ = opposite side of ∠θ / adjacent side of ∠θ.

Here, we need to find tan Z,

In this triangle for ∠Z,

Then,

tan Z

= opposite side / adjacent side

= 28 / 21

= 4 / 3

[tex]\rule{150pt}{2pt}[/tex]

[tex]~~~~~~(2x+34)+(x+71) = 180\\\\\implies 3x + 105=180\\\\\implies 3x = 180-105\\\\\implies 3x = 75\\\\\implies x = \dfrac{75}3\\\\\implies x = 25[/tex]

Answer:

S₂₀₀ = 121800

Step-by-step explanation:

the sum to n term of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 12 and d = a₂ - a₁ = 18 - 12 = 6 , then

S₂₀₀ = [tex]\frac{200}{2}[/tex] [ (2 × 12) + (199 × 6) ]

       = 100(24 + 1194)

      = 100 ×1218

     = 121800

Answer:

  f(x) = 4·sin(2/7x) +1

Step-by-step explanation:

The sinusoidal function y = a·sin(kx) +b will have cross its midline at (0, b), and a peak value of (x, y) = (π/(2k), a+b). We can use these facts to find the values of a, k, and b for the sinusoidal function.

__

  (0, b) = (0, 1)   ⇒   b = 1

  (7π/4, 5) = (π/(2k), a+1)

This gives rise to two equations:

  7π/4 = π/(2k)

  k = π/(2(7π/4)) = 2/7

and

  a+1 = 5

  a = 4

Using the found values for the parameters of the function, we have ...

  f(x) = 4·sin(2/7x) +1

Answer:

[tex](x+1)^{2} +4[/tex]

a = 1

b = 4

Step-by-step explanation:

hope this helps!! p.s. i really need brainliest :)

The value of x in the diagram is : 75°

An isosceles triangle is a type of triangle with base angles equal and opposite sides equal.

Analysis:

Since GF = EF

∠FGE = ∠FEG = (x - 18)°( base angles of an isosceles triangle are equal)

∠FGE + ∠FEG + ∠GFE  = 180°( sum of angles in a triangle)

(x - 18)° + (x-18)° + 66 = 180

2x -36 + 66 = 180°

2x + 30 = 150

2x = 180 - 30

2x = 150°

x = 150/2 = 75°

In conclusion, the value of x in the diagram is 75°

Learn more about isosceles triangle : brainly.com/question/1475130

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The correct value of z in this figure is 190⁰

The image given in this question is of a circle. To solve it, let's calculate it as an equation of the first degree.

– First, let's: add the data that are on the circle and equate the equality as 360⁰, which is the value of the degree of a circle.

145 + 24 + z = 360⁰

– Now, let's: add the natural terms to each other. And finally, we'll isolate z and subtract 360⁰ by the number that's left.

145 + 24 + z = 360⁰

170 + z = 360⁰

z = 360⁰ - 170

z = 190⁰

So, the value of z, will be 190⁰

Answer:

13 m

Step-by-step explanation:

5m + 8m = 13m

The answer is 13m as both of them are like term and can be added....

Answer: Е

Step-by-step explanation:

▪︎ a^2 - b^2 = (a-b)(a+b)

sin^2(2x) = 1

sin^2(2x) - 1 = 0

(sin2x - 1)(sin2x + 1) = 0

sin2x - 1 = 0 or sin2x + 1 = 0

sin2x - 1 = 0

sin2x = 1

2x = 90° + 360°n

x = 45° + 180°n

▪︎180° means half of the unit circle, therefore,

x = 45° + 360°n and

x = 45° + 180° + 360°n = 225° + 360°n

sin2x + 1 = 0

sin2x = -1

2x = 270° + 360°n

x = 135° + 180°n

therefore,

x = 135° + 360°n and

x = 135° + 180° + 360°n = 315° + 360°n

n is an integer

Answer:

[tex](-4, -\frac{1}{2} )[/tex]

Step-by-step explanation:

A (-5, -4)

B (-3, 3)

We can apply the midpoint formula: [tex](\frac{-5 + -3}{2} , \frac{-4 + 3}{2} )[/tex]

[tex]= (-4, -\frac{1}{2} )[/tex]

hope this helped! :)

Answer:

trigonometry is difficult haha….  Answer is 8.81 I think

Step-by-step explanation:

Answer:

D.f(x-2)

g is f shifted to the right by 2. So, f(x-2) is the correct answer.

Hope this helps!!!

Please mark me as brainliest!!!

Answer:

Vertical Reflection Apply a reflection over the line y=-1 The procedure to determine the coordinate points of the image is the same as that of the previous example with minor differences in that the change will be applied to the y-value and the x-value stays the same.

Step-by-step explanation:

Answer:

352

Step-by-step explanation:

sssplit the shapes and then do regular formula

a = lh

Answer:

There are a total of 144 students in soccer training.

Step-by-step explanation:

12x5=60

60-12=48

48=4/5

4/5=1/3

1/3 = 48

48x3= 144

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

   Find the gradient of the line joining (-1,9) and (3,5)

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Use the slope formula:-

[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]

Replace the letters with the numbers:-

[tex]\boxed{\frac{5-9}{3-(-1)}}[/tex]

[tex]\circ[/tex] On simplification,

[tex]\boxed{\frac{-4}{3+1}}[/tex]

[tex]\circ[/tex] On further simplification,

[tex]\boxed{\frac{-4}{4}}[/tex]

[tex]\circ\sf{SLOPE=-1}[/tex]

[tex]\rule{300}{1}[/tex]