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aleksandrvk [35]
3 years ago
6

Simplify 2a + 6b - 3(4a - b)

Mathematics
2 answers:
Dmitry [639]3 years ago
7 0

Answer:

Answer: -10a+9b (I think)

SashulF [63]3 years ago
3 0
To simplify (4a+3b-6) + (2a-b+4) - (-3a-2b) you have to group all the terms with ‘a’, ‘b’ and all terms without a variable in them.

To do this let's start with all terms that have an ‘a’ in them. If we look at the equation we see ‘+4a’, ‘+2a’ and ‘-(-3a)’. This will come down to 4a+2a-(-3a). Since minus times a minus equals a positive, the simplified a term will become: 4a+2a+3a = 9a

Now we do the same for all terms with the ‘b’. We see ‘3b’, ‘-b’ and ‘-(-2b)’. This is equal to 3b-b+2b. This means that all terms with ‘b’ simplify to 4b.

Now we group all terms without a variable. Here we see ‘-6’ and ‘+4’. This is equal to -6+4 which results in -2.

Now on to the last step! Combining our results, in the form all ‘a’ terms + all ‘b’ terms + all terms without a variable. This results in:

9a + 4b -2

I hope this helped!
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5 0
4 years ago
Two less than is 3 times a number is the number as a equation
Volgvan
This is the equation: 3x-2=5x+15 
<span>you combine like terms: 3x-3x-2=5x-3x+15 </span>
<span>the 3x on the left cancles out: -2=2x+15 </span>
<span>subtract 15 on both sides: -2-15=2x+15-15 </span>
<span>the 15 on the right cancles out:--17=2x </span>
<span>divide by 2: -17/2=2x/2 </span>
<span>x equals negative 8.5: x=-8.5</span>
6 0
4 years ago
A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the
Stells [14]

Answer:

\frac{5}{3} in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box=L\times B\times H

Substitute the values then we get

Volume of box=V(x)=(8-2x)(15-2x)x=(15x-2x^2)(8-2x)

V(x)=120x-30x^2-16x^2+4x^3

V(x)=4x^3-46x^2+120x

Differentiate w.r.t x

V'(x)=12x^2-92x+120

V'(x)=0

12x^2-92x+120=0

3x^2-23x+30=0

3x^2-18x-5x+30=0

3x(x-6)-5(x-6)=0

(x-6)(3x-5)=0

x-6=0\implies x=6

3x-5=0\implies x=\frac{5}{3}

Again differentiate w.r.t x

V''(x)=24x-92

Substitute x=6

V''(6)=24(6)-92=52>0

Substitute x=5/3

V''(5/3)=24(5/3)-92=-52

Hence, the volume is maximum at x=\frac{5}{3}

Therefore, the side of the square ,x=\frac{5}{3} in cutout that gives the box the largest possible volume.

5 0
3 years ago
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denis23 [38]

Answer:

Reflection

Step-by-step explanation:

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Which expressions are solutions to the equation 3/4x = 15? Select all that apply.
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Answer:

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Step-by-step explanation:

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