<span><span><span><span>−<span>x2</span></span>−<span>4x</span></span>+5</span>>0</span>
Let's find the critical points of the inequality.<span><span><span><span>
−<span>x2</span></span>−<span>4x</span></span>+5</span>=0</span><span><span><span>
(<span><span>−x</span>+1</span>)</span><span>(<span>x+5</span>)</span></span>=0</span>(Factor left side of equation)<span><span><span><span>
−x</span>+1</span>=<span><span><span>0<span> or </span></span>x</span>+5</span></span>=0</span>(Set factors equal to 0)<span><span>
x=<span><span>1<span> or </span></span>x</span></span>=<span>−5</span></span>
Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>
x<<span>−5</span></span>(Doesn't work in original inequality)<span><span><span>
−5</span><x</span><1</span>(Works in original inequality)<span>
x>1</span>(Doesn't work in original inequality)
Answer: −5<x<1
Answer:
The number of pounds of apples she bought = 10 pounds
The number of pounds of tomatoes she bought = 10 pounds
The number of pounds of the farmers cheese she bought = 5 pounds
The number of pounds of peaches she bought = 6 pounds
3
(
y
−
3
)
y
3
(
−
3
)
That is your answer
Step-by-step explanation:
So if you are reflecting across the x-axis then the point after the reflection should be (x,-y). If you are reflecting across the y-axis the the point after the reflection should be (-x,y). If you are reflecting across the line y=x, then the point after the reflection should be (y,x) If you are reflecting across the line y=-x, then the point after the reflection should be (-y, -x). If you are reflecting across the origin, then the point after the reflection should be(-x,-y). Hope this helps.
Answer:
14oz soup/ person
Step-by-step explanation:
the answer would be 14oz of soup/person
multiply 7 (cans of soup) by 16 (oz per can)
7*16=112
divide 112 (oz of soup total) by 8 (number of people feeding)
112/8=14
