Answer:
-2/3 is greater than -0.8
Step-by-step explanation:
-2/3 is greater than -0.8. If -2/3 forms to become a decimal it becomes 0.66 (repeated). It is closer to zero therefore causing it to be greater than -0.8.
Answer:
Part a) 
Part b) When Jenny divides the square root of her favorite positive integer by
, she gets an integer
Step-by-step explanation:
Let
x-------> the favorite positive integer
Part a)
1) For 
-----> the product is an integer
so
The number
could be Jenny favorite positive integer
2) For 
-----> the product is an integer
so
The number
could be Jenny favorite positive integer
3) For 
-----> the product is an integer
so
The number
could be Jenny favorite positive integer
Part B)
1) For 
-----> the result is an integer
2) For 
-----> the result is an integer
3) For 
-----> the result is an integer
Therefore
When Jenny divides the square root of her favorite positive integer by
, she gets an integer
The values of x are 2 and -1.
Solving the equation created by substitution listed in the question:
-2x+14=x²-3x+12
Add 2x to both sides:
-2x+14+2x=x²-3x+12+2x
14=x²-1x+12
Subtract 14 from both sides:
14-14=x²-1x+12-14
0=x²-1x-2
Factoring this, we want factors of -2 that sum to -1; -2(1) = -2 and -2+1=-1:
0=(x-2)(x+1)
Using the zero product property, we know that either x-2=0 or x+1=0:
x-2=0
x-2+2=0+2
x=2
x+1=0
x+1-1=0-1
x=-1
<em>so</em><em>,</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>-</em><em>8</em><em>.</em>
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em>⤴</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>
PEMDAS tells us to use multiplication and division before addition and subtraction.
<u>-5(8) </u>÷ 10 - <u>14 ÷ 7</u> - <u>(-2)(3)</u>
<u> -40 ÷ 10</u> - 2 - -6
<u>-4 - 2 </u> + 6 <em>two negatives make a positive so - - 6 = + 6</em>
<u> -6 +6</u>
0
Answer: 0