Supplementary angles are 2 angles that add up to a total of 180°
Complementary angles are 2 angles that add up to a total of 90°
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Answer: The original number of CDs is between 1000 and 1500.
Step-by-step explanation:
Since we have given that
Number of copies of a popular CD left to be sold in the store = 15
According to question, this is between 15 and 1.5% of the original number of copies of the CD in the store.
Let the original number of copies of the CD in the store be 'x'.
Now, 15 is equal to 1% of the original number of copies of the CD, it becomes

Or if 15 is equal to 1.5% of the original number of copies of the CD, it becomes

Hence, the original number of CDs is between 1000 and 1500.
Answer:
11
Step-by-step explanation:
2x + 3
2(4) + 3 .......................replace x with 4
8 + 3
11
3.
area=legngth tiimes width
legnth is 10 more than 2 times width
l=10+2w
lw=area=(10+2w)w=10w+2w^2
area=3600
3600=10w+2w^2
so divide by 2
1800=5w+w^2
subtract 1800 from both sides
(note they used x instead of w)
0=w^2+5w-1800
then the facotred form is (w-40)(w+45)=0
0 product property measn if you have xy, then x and or y =0
therefor
w-40=0 and w+45=0
w=40 or -45
discard negative because negative legnth is not possible
explian how solution relates to situation
it is math so it is correct because we represented it corrrectly
the other solution is because of math and eliminate negative legnth becasue tha tis not possible
basically because we represented it correctly
not a very clear quetion to answer
basically 'because it represents the solution so we solved it and it is correct'
To find it, evaluate it at the endpoints and the vertex
in form
f(x)=ax²+bx+c
the x value of the vertex is -b/2a
given
c(t)=1t²-10t+76
x value of vertex is -(-10)/1=10
evaluate c(0) and c(13) and c(10)
c(0)=76
c(13)=115
c(10)=76
it reached minimum in 2000 and 2010
porbably teacher wants 2010
the min value is $76