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2 years ago

The equation x + y = z relates the whole numbers x, y, and z. How does z compare to x?

Mathematics

1 answer:

creativ13 [48]2 years ago

8 0

Answer:

C. x is y less than z

Step-by-step explanation:

x+y=z

by using transposition

x = z-y

whatever x is, it is equal to the value of y taken from z

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When it is 2 hours after 2 o'clock, then it is 4 o'clock (2 + 2 = 4). When it is 10 hours after 10 o'clock, then it is 8 o'clock

Greeley [361]

The answer would be at 4 and here is the explanation on to why is it that:
<span>u16=u1+(16-1)5=1+75=76
time = 76-12x6=4
That is why is at 4
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5 0

3 years ago

Triangle ABC with vertices A(-2, -3), B(5, -1), and C(2, 2) is translated by (x,y) → (x - 1, y + 2). Then the image, triangle A'

Elan Coil [88]

Answer:

A"(-1, -2)
B"(6, 0)
C"(3, 3)
(x, y) ⇒ (x+1, y+1)

Step-by-step explanation:

Translation vectors add, and the addition is commutative and associative.

The first translation adds (-1, 2) to the original coordinates. The second translation adds (2, -1) to the original coordinates. The two translations together add ...

(-1, 2) +(2, -1) = (-1+2, 2-1) = (1, 1)

to the original coordinates.

The single rule representing this translation is ...

(x, y) ⇒ (x +1, y +1)

Then the doubly-translated coordinates are ...

A(-2, -3) ⇒ A"(-1, -2)

B(5, -1) ⇒ B"(6, 0)

C(2, 2) ⇒ C"(3, 3)

8 0

2 years ago

I have no clue how to do this please help

mel-nik [20]

Answer:

Max = (6,0); min = (-2, 4)

Step-by-step explanation:

1. Summarize the constraints

$\text{Constraints} = \begin{cases}(a)\qquad 2x - y & \leq 12\\(b)\qquad 4x+ 2y & \geq 0\\(c) \qquad x + 2y & \leq 6\\ \end{cases}$

2. Optimization equation

z = 5x + 2y

3. Graph the constraints to identify the feasible region

See the figure below.

The "TRUE" regions for each graph are the shaded areas to the side of the line indicated by the arrows.

The "feasibility region" is the dark green area where all three areas overlap and all three conditions are satisfied.

5. Determine the points of intersection among the constraints

(i) Constraints (a) and (b)

$\begin{array}{rcr}2x - y & = & 12\\4x + 2y & = & 0\\4x - 2y & = & 24\\8x&=&24\\x & = & \mathbf{3}\\6 - y & = & 12\\-y & = &6\\y & = & \mathbf{-6}\\\end{array}\\$

The lines intersect at (3,-6).

(ii) Constraints (a) and (c)

$\begin{array}{rcr}2x - y & = & 12\\x + 2y & = & 6\\4x - 2y & = &24\\5x & = & 30\\x & = & \mathbf{6}\\6 + 2y & = & 6\\2y & = &0\\y & = & \mathbf{0}\\\end{array}$

The lines intersect at (6,0).

(iii) Constraints (b) and (c)

$\begin{array}{rcr}4x+ 2y &= & 0\\x + 2y &=& 6\\3x & = & -6\\x & = & \mathbf{-2}\\-2 +2y & = & 6\\2y & = &8\\y & = & \mathbf{4}\\\end{array}$

The lines intersect at (-2,4).

6. Determine the x- and y-intercepts of the feasible region

The five black dots at (3,-6), (6,0), and (-2,4) are the vertices of the polygon that represents the feasible region.

Each vertex is a possible maximum or minimum of z.

7. Calculate the maxima and minima

Calculate z at each of the vertices.

(i) At (-2,4)

z = 5x + 2y = 5(-2) + 2(4) = -10 + 8 = 2

(ii) At (3,-6)

z = 5(3) + 2(-6) = 15 - 12 = 3

(iii) At (6,0)

z = 5(6)+ 2(0) = 30 + 0 = 30

The maximum of z occurs at (6,0).

The minimum of z occurs at (-2, 4).

7 0

3 years ago

You spin each spinner and flip a<br> coin. How many outcomes are<br> possible?

grin007 [14]

Answer:

Step-by-step explanation:

for E abs F its 2 possible. For the penny also two possible. And 6 for the spinner. Since you would count all the slices from the first two and add a 2 for the penny.

4 0

2 years ago

The table shows two patterns. What are the next terms for each pattern?

Yanka [14]

Answer:

24,6

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers