F(x) is continuous for all x.
Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.
At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.
Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0
Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40
Answer:
SAS
Step-by-step explanation:
The two triangles share a side, so that would be reflexive to show that side is congruent. Also, keep in mind that all right angles are congruent! The picture already tells us that the two outer side are congruent. So in conclusion, the two angles are congruent by SAS.
Hope this helps! :)
V = (4/3)×3.14×(1.5^3)
V = 14.1 in^3
Answer:
x ≥ 12
Step-by-step explanation:
Step 1: subtract 2 from both sides
Now you have; -3/4 x ≤ -9
Step 2: divide both sides by -3/4
Now you have x ≥ 12
(when dividing an inequality by a negative you have to flip the sign)
Therefore the answer is x ≥ 12
Answer: #64, A. #67, A. #68, C
Step-by-step explanation:
#64
0.96/6= 0.16
2.4/16= 0.15
32= 0.18
16 oz is the least
#67
100/20=5
3*5=15
SO, it's 15%.
#68
Divide
$430/43= $10
$594/54= $11
Andrew= $8
So, Darren makes the most.
