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andreyandreev [35.5K]
4 years ago
15

Which equation is equivalent to 2/3x - 5/6 = -5/12x + 1/4 ?

Mathematics
2 answers:
Lena [83]4 years ago
5 0

Answer:

The answer is D

Step-by-step explanation:

2/3x-5/6=5/12x+1/4

x=1

the only option that x=1 is

2/3x-13/12=-5/12x

Scorpion4ik [409]4 years ago
3 0
2/3x - 5/6 = -5/12x + 1/4 =
2/3x - 5/6 - 1/4 = -5/12x
2/3x - 10/12 - 3/12 = -5/12x
2/3x - 13/12 = -5/12x <=====
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Find the average value fave of the function f on the given interval. f() = 5 sec2(/6), 0, 3 2
Inessa05 [86]

Answer:

f_{ave} = {\frac{10 }{3\pi }

Step-by-step explanation:

To find - Find the average value fave of the function f on the given interval. f(x) = 5 sec²(x/6), [0, 3\pi/2]

Proof -

We know that,

Average value of f in the interval [a, b] is -

f_{ave} = \frac{1}{b - a}\int\limits^b_a {f(x)} \, dx

Now,

Here a = 0, b = \frac{3\pi }{2}, f(x) = 5sec^{2}(\frac{x}{6} )

Now,

f_{ave} = \frac{1}{\frac{3\pi }{2}  - 0}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx

      = {\frac{2 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx

      = {\frac{10 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {sec^2 ({\frac{x}{6} }) } \, dx

      = {\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) }|^{\frac{3\pi }{2} }_0 \, ]

      = {\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) - tan({0) } \, ]

      = {\frac{10 }{3\pi }}[ {1 - 0 }  ]

      = {\frac{10 }{3\pi }

⇒f_{ave} = {\frac{10 }{3\pi }

3 0
3 years ago
Is 18×<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B5%7D%20" id="TexFormula1" title=" \frac{4}{5} " alt=" \frac{4}{5} "
Elden [556K]
Fraction means  a part of something

we see
18 times a fraction is bigger or smaller or equal to 18

18 times a fraction means take a part ouf of 18
in this case
18 times 4/5=72/5=14.4
14.4 is less than 18
when  you take a fraction of something, it becomes smaller, like if you take a slice of pizza or a fraction of the pizza, it becomes smaller

lesss
8 0
3 years ago
1.5( x + 4) -3 = 4.5 ( x - 2 )
Hitman42 [59]

Answer:

Step-by-step explanation:

1.5(x + 4) - 3 = 4.5(x - 2)

1.5x + 6 - 3 = 4.5x - 9

1.5x + 3 = 4.5x - 9

3 + 9 = 4.5x - 1.5x

12 = 3x

12/3 = x

4 = x <======

6 0
3 years ago
If n + 7 = 10, evaluate 2n - 2<br> O 3<br> 0 17<br> 4<br> 6
Alexandra [31]

Answer:

The value of 2n - 2 is 4.

Step-by-step explanation:

Given the equation

n + 7 = 10

Subtract  7 from both sides of the equation

n+7-7=10-7

Simplify

n=3

Now substituting n = 3 in the equation

2n - 2 = 2(3) - 2

          = 6 - 2

          = 4

Therefore, the value of 2n - 2 is 4.

5 0
3 years ago
Help ill give brainlest pls
Annette [7]

Answer:

it's should be B

reflection over the x-axis

3 0
3 years ago
Read 2 more answers
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