Three hundred x 3 hundred 300x300

The solution to -2[1 - 4x] = 3x + 8 is

kvasek [131]

Answer: " 14 " .

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→ " x = 14 " .

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Step-by-step explanation:

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First, let us simplify the expression on the "left-hand side" of the equation:

→ -2(1 −4x) ;

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Note the "distributive property of multiplication" :

→ a(b + c) = ab + ac .

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As such, we can rewrite:

→ -2(1 − 4x) = (-2)(1) + (-2)(-4x) ;

= - 2 + 8x ;

↔ 8x − 2 ;

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Now, rewrite the entire expression:

→ 8x − 2 = 3x + 8 ;

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Subtract "(3x)" from each side of the equation;

and add "2" to each side of the equation:

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→ 8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:

→ 5x = 10 ;

Now, divide each side of the equation by "5" ;

to isolate "x" on side of the equation;

& to solve for "x" ;

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→ 5x/5 = 10/5 ;

to get:

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→ x = 2 .

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Now, let us check our work:

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Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;

when "x = 2" :

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Note the given equation:

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→ -2[1 − 4x] = 3x + 8 ;

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Start with the left-hand side:

→ -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

→ 3(2) + 8 = 6 + 8 = 14 .

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→ 14 =? 14 ??? ; Yes!

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Hope this is helpful to you!

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5 0

3 years ago

15 1/4 acres of land are to be divided into lots of at least 2/3 acres each What is the maximum number of lots that can be creat

Sholpan [36]

Well, if you want the maximum number of splits, then you want to make
each individual split as small as possible.
That's 2/3 acre. How many will that give you ?

(15 and 1/4) divided by (2/3)

= (15.25) / (0.666...) = 22.875 pieces .

The maximum number of 2/3-acre lots you can sell is 22 lots.

Then you have 58.3% of an acre of land left over that you can't sell
because it's less than 2/3 acre. Sadly, that 58.3% of an acre is just
about the size of the lot that I've been living n for almost 30 years.
You really know how to rub it in, dontcha !

5 0

3 years ago

Read 2 more answers

The graph below is a portion of a complete graph. Choose the complete graph assuming it is an odd function.

WARRIOR [948]

Answer: I’d say D

Step-by-step explanation:

a guess but at least its educated

GOOD LUCK

7 0

3 years ago

What is the algebraic notation of a figure is Translated 6 units left and 5 units up?

BigorU [14]

The last answer choice is correct

4 0

3 years ago

Read 2 more answers

Please help ❗️❗️❗️❗️ Please! I will reward brainly

zhuklara [117]

Hey there :)

We know the distance formula is:
D = $\sqrt{(x2-x1)^2+(y2-y1)^2}$

1) Coordinates are: ( -10, -5 ) , ( 8 , 5 )
↓ ↓ ↓   ↓
x₁ y₁ x₂ y₂
We plug in the values
D = $\sqrt{(8 -(-10))^2+(5-(-5))^2}$
  ≈20.59 ≈ 20.6 (nearest tenth)

We do the same for the rest

2) Coordinates are ( 10 , 0 ) , ( -2 , 1 )
D = $\sqrt{(-2-10)^2+(1-0)^2}$
≈ 12.04 ≈ 12.0 (nearest tenth)

3) Coordinates are ( 4 , 8 ) , ( 7 , -8 )
D = $\sqrt{((7-4)^2+(-8-8)^2}$
≈ 16.27 ≈ 16.3 (nearest tenth)

4) Coordinates are ( -10, -4 ) , ( 8 , 8 )
D = $\sqrt{(8-(-10))^2+(8-(-4))^2}$
  ≈ 21.6 (nearest tenth)

5) Coordinates are ( 6 , -3 ) , ( -8 , 9 )
D = $\sqrt{(-8-6)^2 + (9-(-3))^2}$
≈ 18.4 (nearest tenth)

You can find the matching below :)

8 0

3 years ago