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Gemiola [76]
3 years ago
9

What is six more than twice a number x

Mathematics
1 answer:
natta225 [31]3 years ago
5 0

Answer:

2x + 6

2 times the number x is 2x (2 times x)

six more than that would be +6

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Give two examples of line segments that will make a triangle ?
77julia77 [94]

Answer:

If the length of any one side is greater than the sum of the length of the other two, the line segments cannot be used to create a triangle. It is possible to create a triangle using 3 line segments if the sum of the lengths of any two line segments is greater than the length of the third.

7 0
2 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
Which two points lie on a line with an undefined slope?
Ierofanga [76]
Slope formula is
m = (y2 - y1)/(x2 - x1)

A. m = (5 - 0)/(-2 + 2)
m = (5)/(0)
m = error

B. m = (-2 - 0)/(0 + 2)
m = (-2)/(2)
m = -1

C. m = (2 - 0)/(2 - 0)
m = (2)/(2)
m = 1

D. m = (0 - 0)/(2 - 3)
m = (0)/(-1)
m = 0

the undefined slope would be the one that came out as error, so A
6 0
3 years ago
Read 2 more answers
12 is 6% of what number? *
Galina-37 [17]

Answer:

200

6% of 200 is 12

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Need help now plzzz
ZanzabumX [31]

Answer: 504 in^2

Step-by-step explanation:

All you have to do is multiply all the numbers together.

3 0
3 years ago
Read 2 more answers
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