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3 years ago

4/3 (3x-12)=2x+8 what is x

Mathematics

2 answers:

masha68 [24]3 years ago

6 0

Answer:

x = 12

Step-by-step explanation:

simlify 4/3 * (3x-12)

4x - 16 = 2x + 8

combine like terms, so subtract 2x by 4x

2x - 16= 8

then finish combining like terms, so 16 plus 8

2x = 24

divide 24 by 2

x = 12

pickupchik [31]3 years ago

4 0

The answer is, X = 12.

hope it helps.

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Suppose that in 8 minutes 72 gallons of water came out of a pipe.

ki77a [65]

Answer:

Step-by-step explanation:

72/8=9

4 0

3 years ago

Find the critical points of the function and use the First Derivative Test to determine whether the critical point is a local mi

Andre45 [30]

Answer:

Critical points are 1 and -1

Maximum at x=1

Minimum at x=-1

Step-by-step explanation:

We are given that a function

$f(x)=3tan^{-1}(x)-\frac{3}{2} x+5$ on ( $-\infty,\infty$ )

We have to find the critical points of the function.

To find the critical point we will differentiate function w.r.t x and then substitute f'(x)=0

$f'(x)=\frac{3}{1+x^2}-\frac{3}{2}$

$\frac{d(tan^{-1}x)}{dx}=\frac{1}{1+x^2}$

$f'(x)=0$

$\frac{3}{1+x^2}-\frac{3}{2}=0$

$\frac{3}{1+x^2}=\frac{3}{2}$

$1+x^2=2$

$x^2=2-1=1$

$x=\pm1$

Therefore, the critical points of the given function are 1 and -1.

$f(0)=3-\frac{3}{2}=\frac{3}{2}$

$f'(1)=0$

$f'(2)=\frac{3}{5}-\frac{3}{2}=-\frac{9}{10}$

When we goes from 0 to 2 then the sign of derivative change from positive to negative .Therefore, function has local maximum at x=1.

$f(-2)=\frac{3}{5}-\frac{3}{2}=-\frac{9}{10}$

$f(-1)=0$

$f(0)=\frac{3}{2}$

When we goes form -2 to 0 then the sign of derivative change from negative to positive .Hence , function has local minimum at x=-1

Hence, critical points are local maximum and local minimum .

3 0

3 years ago

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kirill115 [55]

Answer:

Step-by-step explanation:

I don't know how to explain it, but i did the math and that is what i got, i'm sorry if it is incorrect. Hope this helps :3

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3 years ago

7x+1/2(x+1/4)=3(6x-9)-8

ycow [4]

Answer:

x = 381/24 = 3 29/84

Step-by-step explanation:

7x + 1/2(x + 1/4) = 3(6x - 9) - 8

Use the distributive property to multiply 1/2 by x + 1/4.

7x + 1/2x + 1/8 = 3(6x - 9) - 8

Combine 7x (14/2x) and 1/2x to get 15/2.

15/2x + 1/8 = 3(6x - 9) - 8

Use the distributive property to multiply 3 by 6x - 9.

15/2x + 1/8 = 18x - 27 - 8

Subtract 8 from -27 to get -35.

15/2x + 1/8 = 18x - 35

Subtract 18x from both sides.

-21/2x + 1/8 = -35

Subtract 1/8 from both sides.

-21/2x = -35 - 1/8

-35 is the same as -280/8.

-21/2x = (-280 - 1)/8

Subtract 1 from -280 to get -281.

-21/2x = -281/8

Multiply both sides by -2/21 (reciprocal of -21/2).

x = (-281 * -2)/(8 * 21)

You can cross cancel -2 and 8 by extracting 2 (they become -1 and 4 respectively).

x = (-281 * -1)/(4 * 21)

Multiply -281 by -1 to get 281.

x = 281/(4 * 21)

Multiply 4 by 21 to get 84.

x = 281/84

Can this fraction be simplified into a mixed number? Yes it can. It becomes 3 29/84. (252 (3 * 84) + 29 = 281)

x = 3 29/84

Work check: x is substituted for 281/84 (convenience)

7 * 281/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8

1967/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8

1967/84 + 1/2(302/84) = 3((6 * 281)/84 - 9) - 8

(1967 + 151)/84 = 3((6 * 281)/84 - 9) - 8

2118/84 = 3(1686/84 - 9) - 8

2118/84 = 3((1686 - 756)/84) - 8

2118/84 = 3(930/84) - 8

2118/84 = 2790/84 - 672/84

2118/84 = (2790 - 672)/84

2118/84 = 2118/84

So x = 3 29/84 is correct.

5 0

3 years ago

Please do right and show work

Elis [28]

Let's thing

949 ----- 100% of the price

499 ------ x% of the price

Multiply in cross

949.x = 100.499

949x = 49900

x = 49900/949

x = 52,58%

So, rounding it 52,58% ≈ 53%

Alternative B

5 0

3 years ago

Read 2 more answers