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OLga [1]
3 years ago
8

Ellus

Mathematics
1 answer:
butalik [34]3 years ago
4 0

9514 1404 393

Answer:

  2.25

Step-by-step explanation:

Add the square of half the x-coefficient to complete the square.

  (-3/2)² = 9/4 = 2.25

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Show that the relation R consisting of all pairs(x, y)such that x and y are bit strings of length three or more that agree in th
Mice21 [21]

Answer:

See proof below

Step-by-step explanation:

An equivalence relation R satisfies

  • Reflexivity: for all x on the underlying set in which R is defined, (x,x)∈R, or xRx.
  • Symmetry: For all x,y, if xRy then yRx.
  • Transitivity: For all x,y,z, If xRy and yRz then xRz.

Let's check these properties: Let x,y,z be bit strings of length three or more

The first 3 bits of x are, of course, the same 3 bits of x, hence xRx.

If xRy, then then the 1st, 2nd and 3rd bits of x are the 1st, 2nd and 3rd bits of y respectively. Then y agrees with x on its first third bits (by symmetry of equality), hence yRx.

If xRy and yRz, x agrees with y on its first 3 bits and y agrees with z in its first 3 bits. Therefore x agrees with z in its first 3 bits (by transitivity of equality), hence xRz.

5 0
3 years ago
Simplify the expression. (3x/y)^-3
AysviL [449]

Answer:

y^3/(27 x^3)

Step-by-step explanation:

Simplify the following:

((3 x)/y)^(-3)

((3 x)/y)^(-3) = (y/(3 x))^3:

(y/(3 x))^3

Multiply each exponent in y/(3 x) by 3:

(y^3)/((3 x)^3)

Multiply each exponent in 3 x by 3:

y^3/(3^3 x^3)

3^3 = 3×3^2:

y^3/(3×3^2 x^3)

3^2 = 9:

y^3/(3×9 x^3)

3×9 = 27:

Answer:  y^3/(27 x^3)

6 0
3 years ago
Find the slope of the line that passes through the points (3,0) and (3,-2).
Fittoniya [83]
When given the points (x1,y1) and (x2,y2)

slope=(y2-y1)/(x2-x1)

we have
(3,0) and (3,-2)
(x,y)
x1=3
y1=0
x2=3
y2=-2

slope=(-2-0)/(3-3)=-2/0=undefined since you caon't divide by zero

answer is D
8 0
2 years ago
Read 2 more answers
I need to understand the solution
vovangra [49]

Answer:

7/15 is your answer

Step-by-step explanation:

3 0
3 years ago
3x(5+x) - 2x (3x - 7) Algebra questions
Harman [31]

explanation

3x(5+x) - 2x(3x-7)

open the brackets, we have

15x + 3x^2 - 6x^2 + 14x

collect like terms

3x^2 - 6x^2 +15x + 14x

-3x^2 + 29x

answer= -3x^2 + 29x

5 0
3 years ago
Read 2 more answers
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