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3 years ago

Made up of quantities and the operations performed on them what is this vocab word

1 answer:

7 0

Equation. This word may fit your definition of a set of values or numbers –intergers- coupled with basic operations. Equation is mathematical form of body where there are two adjacent corners which aims as the word says, equation. Take for instance in illustration 2x + 5x = 7x. This “equation” is composed of these numbers with unknowns and the operation of addition with them. When you have solved for 7x in the example, it only shows that to attain “equation”, solution is performed and done. Hence, these two works relationally.

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WILL MARK BRAINLIEST IF ANSWERED CORRECTLY (SHOW YOUR WORK)

damaskus [11]

Answer:

One solution -> x = 35 , y = -25

Step-by-step explanation:

Solve the following system:

{14 x + 7 y = 315 | (equation 1)

16 x - 2 y = 610 | (equation 2)

Swap equation 1 with equation 2:

{16 x - 2 y = 610 | (equation 1)

14 x + 7 y = 315 | (equation 2)

Subtract 7/8 × (equation 1) from equation 2:

{16 x - 2 y = 610 | (equation 1)

0 x+(35 y)/4 = (-875)/4 | (equation 2)

Divide equation 1 by 2:

{8 x - y = 305 | (equation 1)

0 x+(35 y)/4 = -875/4 | (equation 2)

Multiply equation 2 by 4/35:

{8 x - y = 305 | (equation 1)

0 x+y = -25 | (equation 2)

Add equation 2 to equation 1:

{8 x+0 y = 280 | (equation 1)

0 x+y = -25 | (equation 2)

Divide equation 1 by 8:

{x+0 y = 35 | (equation 1)

0 x+y = -25 | (equation 2)

Collect results:

Answer: x = 35 , y = -25

6 0

2 years ago

1. Which of the following values of n will make the below equation true? n × (−2+5 ) = −8+20

Salsk061 [2.6K]

Answer:

1a 2a

Step-by-step explanation:

n × (−2+5 ) = −8+20

n × 3 = 12

n = 4

2 + (n+6) = −1+6

n + 8 = 5

n = -3

7 0

2 years ago

Find the distance between the two points in simplest radical form for (-6,1) and (-8,-4)

Elina [12.6K]

Answer:

Step-by-step explanation:

Δy =-4-1 = -5

Δx =-8-(-6) = -2

distance = √((Δx)^2+(Δy)^2) = √(4+25) = √29

3 0

3 years ago

Read 2 more answers

An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corne

lawyer [7]

Answer:

The dimensions of the resulting box that has the largest volume is 1.3 inches x 1.3 inches

Step-by-step explanation:

Card board size is L= 14 inches and

W = 6 inches

Let x be the size of equal squares cut from 4 corners and bent into a box whose size is now;

L = 14 − 2x , W = 6 −2x and h = x inches.

Volume of the box is given as;

V = (14 −2x)(6−2x)x

V =(4x² − 40x + 84)x

= 4x³ − 40x² + 84x.

Now, for the maximum value,

dV/dx =0

Thus,

dv/dx = 12x² - 80x + 84 = 0

Using quadratic formula

x = [-(-80) ± √(-80²) - 4(12 x 84)]/(2 x 12)

x = [80 ± √(6400 - 4032)]/24

x = (80 + 48.66)/24 or (80-48.66)/24

x = 5.36 or 1.31

Looking at the two values, 1.31 would be more appropriate because if we use 5.36,we will get a negative value of the width (W).

Thus, x = 1.31 inches

Let us use the Second Derivative Test to verify that V has a local maximum at x = 1.31.

Thus;

d²v/dx² = 24x - 80 = 24(1.31) - 80 = -48.56

This is less than 0 and therefore, the volume of the box is maximized when a 1.31 inch by 1.3 inch square is cut from the corners of the cardboard sheet.

3 0

3 years ago

Slope intercept of (2,1) and (4,0)

lutik1710 [3]

The answer to the question

3 0

3 years ago