Answer:
An inflection point is a point on the graph of a function at which the concavity changes. Points of inflection can occur where the second derivative is zero.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Formula is
Interest=loan ×interest rate×time
Solve for the first choice
I=10,000×0.05×5=2500
Solve for the second choice
I=10,000×0.06×7=4200
The difference in the amount of interest
4,200−2,500=1700
Answer:
The number of comic books did they have in all = 56
Step-by-step explanation:
The ratio of comics with Susan : Abe = 3 : 5
Let us assume the common factor on this ratio = m
So, the number of comics Susan has = 3 m
The number of comics Abe has = 5 m
Also, given: Abe had 14 more comic books than Susan
So, the number of comics Abe had = 14 + 3 m
⇒ 5 m = 3 m + 14
or, 2 m = 14, or m = 7
So, the number of books Susan has = 3 m = 3 x 7 = 21 books
The number of books Abe has = 5 m = 5 x 7 = 35
So, the book they have in all = 21 + 35 = 56
Answer:
A = 744 meters B = 489 meters
Step-by-step explanation:
A = B + 255
2B - A = 234
-2B -2B Subract the -2B from both sides
-A = -2B + 234
A = 2B - 234 Divide by -1 to get A alone
B + 255 = 2B - 234 Set both equations equal to each other
- B -B
255 = B - 234
+234 +234
489 = B
Plug 234 in for B in the original equations
A = 489 + 255
A = 744
<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
