The answer for 7/12-4/12 is 1/4!
Answer:
Answer:
<u>X l Y</u>
<u>-2 l 4</u>
<u>-1 l 5</u>
<u>0</u><u> </u><u> </u><u> </u><u> </u><u> </u><u>l</u><u> </u><u> </u><u> </u><u>6</u>
<u>1 l 7</u>
<u>2 l 8</u>
Step-by-step explanation:
<u>X </u><u> </u><u>l </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>Y</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>
<u>-2 l </u><u>-</u><u> </u><u>(</u><u>-</u><u>2</u><u>)</u><u> </u><u>+</u><u> </u><u>y</u><u> </u><u>=</u><u>6</u><u> </u><u>=</u><u>></u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>6</u><u> </u><u>-</u><u> </u><u>2</u><u>=</u><u>></u><u> </u><em><u>y</u><u> </u><u>=</u><u> </u><u>4</u></em>
<u>-1 l </u><u>- (-</u><u>1</u><u>) + y =6 => y = 6 - </u><u>1</u><u>=> <em>y = </em></u><u>5</u>
<u>0 l </u><u>- (</u><u>0</u><u>) + y =6 => y = 6 </u><u>+</u><u> </u><u>0</u><u>=> <em>y = </em></u><u>6</u>
<u>1 l </u><u>- (</u><u>1</u><u>) + y =6 => y = 6 </u><u>+</u><u>1</u><u> => <em>y = </em></u><u>7</u>
<u>2 l </u><u>- (</u><u>2</u><u>) + y =6 => y = 6 </u><u>+</u><u> 2=> <em>y = </em></u><u>8</u>
<em><u>Note</u></em><em><u>:</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>(</u></em><em><u>-</u></em><em><u>a</u></em><em><u>)</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>b</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>b</u></em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>(</u></em><em><u>a</u></em><em><u>)</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>b</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>b</u></em>
2b 2a
----------------- + -----------------
(b+a)^2 (b^2 - a^2)
2b 2a
= ----------------- + -------------------
(b+a)(b+a) (b+a)(b-a)
2b(b - a) + 2a(b + a)
= ------------------------------------
(b+a)(b+a)(b-a)
2b^2 - 2ab + 2ab + 2a^2
= ---------------------------------------
(b+a)(b+a)(b-a)
2b^2 + 2a^2
= ------------------------
(b+a)(b+a)(b-a)
2(b^2 + a^2)
= ------------------------
(b+a)^2 (b-a)
Answer:
Numerator: 2(b^2 + a^2)
Denominator: (b+a)^2 (b-a)
Answer:
x = 3 and y = 2
Step-by-step explanation:
y = 3x - 7
substituting for y in 4x + 3y = 18, we will have
4x + 3(3x -7) = 18
4x + 9x - 21 = 18
13x = 18 + 21
13x = 39
x = 3
Substituting for x in y = 3x -7, we have
y = 3(3) - 7
y = 9 - 7
y = 2
Answer as an inequality: 
Answer in interval notation: [2, 7]
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Explanation:
The range is the set of all possible y outputs of a function.
The lowest point occurs when y = 2
The highest point occurs when y = 7
The range is the set of every y value between 2 and 7, including the endpoints.
The range as an inequality is 
It is equivalent to [2, 7] in interval notation. The square brackets include each endpoint.