Answer:
x = 3 or x = 2 or x = -1 or x = -5
Step-by-step explanation:
Solve for x:
((x - 3) (x - 2) (x + 1) (x + 5))/x = 0
Multiply both sides by x:
(x - 3) (x - 2) (x + 1) (x + 5) = 0
Split into four equations:
x - 3 = 0 or x - 2 = 0 or x + 1 = 0 or x + 5 = 0
Add 3 to both sides:
x = 3 or x - 2 = 0 or x + 1 = 0 or x + 5 = 0
Add 2 to both sides:
x = 3 or x = 2 or x + 1 = 0 or x + 5 = 0
Subtract 1 from both sides:
x = 3 or x = 2 or x = -1 or x + 5 = 0
Subtract 5 from both sides:
Answer: x = 3 or x = 2 or x = -1 or x = -5
Answer:
The number of seniors who scored above 96% is 1.
Step-by-step explanation:
Consider the provided information.
Two percent of all seniors in a class of 50 have scored above 96% on an ext exam.
Now we need to find the number of seniors who scored above 96%
For this we need to find the two percent of 50.
2% of 50 can be calculated as:
Hence, the number of seniors who scored above 96% is 1.
Answer:
A
-2 < x ≤ 3 (All x values between -2 and 3; excluding -2 and including 3)
Step-by-step explanation:
I feel the answer is A because from what we know, domain is the x-intercept or x. So both C and D are not the answer because the y-intercept is not the domain, the y-intercept is the range. Next I looked at both A and B, well, if you look closely answer choice A says "excluding -2 and including 3" and choice B says "including -2 and excluding 3". I also seen on the graph that the point of (3,3) has a filled in dot and the point at (-2,-1) has an opened dot. A filled in dot always means you either have a ≥ (greater than or equal to sign) or a ≤ (less than or equal to sign). While an opened dot always means you just have < (greater than) or a > (less than) sign. So the correct answer is A!! Hope you have a fantastic rest of your day! :)))
<h3>
Answer: 0.5</h3>
This is equivalent to the fraction 1/2
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Explanation:
The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.
|A-B| = |-5-(-8)| = |-5+8| = |3| = 3
or
|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3
We can say that segment AB is 3 units long.
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The distance from A' to B' is 1.5 units because...
|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5
or
|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5
The absolute values ensure the distance is never negative.
We can say A'B' = 1.5
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Now divide the lengths of A'B' over AB to get the scale factor k
k = (A'B')/(AB)
k = (1.5)/(3)
k = 0.5
0.5 converts to the fraction 1/2.
The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.
The volume of a cylinder is Pi times the radius^2 times the height
Volume = Pi x 6^2 x 2
Volume = 226.2
