all the students in Miss Osbourne's class like pizza. Jeff is a student who likes Pizza. Therefore, Jeff is a student in Miss Osbourne's class. True, Falls, uncertain?
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with an undistributed middle.
It's nice that all the students in Miss Osbourne's class like pizza.
You can be sure that if you meet a student from Miss Osbourne's
class, you've met a student who likes pizza.
But they are not an exclusive club. They are not the only students
in the world who like pizza. There are other people in the world who
also like pizza. When you meet a student who likes pizza, he may be
one of those others. He may never have even heard of Miss Osbourne.
Everyone in Ireland likes food, bob likes food, therefore bob is in Ireland.
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There goes my hopes for Virtuoso rank....What are the zeros of the function y = x2 + 10x – 171, and why? A) The zeros are x = –19 and x = 9 because in factored form, the function is y = (x – 19)(x + 9) B) The zeros are x = –19 and x = 9 because in factored form, the function is y = (x + 19)(x – 9). C) The zeros are x = 19 and x = –9 because in factored form, the function is y = (x – 19)(x + 9). D) The zeros are x = 19 and x = –9 because in factored form, the function is y = (x + 19)(x – 9).
Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line.
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y - y₁ = m(x - x₁)
y - (-1) = -1¹/₂(x - 3)
y + 1 = -1¹/₂(x) + 1¹/₂(3)
y + 1 = -1¹/₂x + 4¹/₂
- 1 - 1
y = -1¹/₂x + 3¹/₂
4x + y - 2 = 0
+ 2 + 2
4x + y = 2
4x - 4x + y = -4x + 2
y = -4x + 2
y - y₁ = m(x - x₁)
y - (-3) = -4(x - 4)
y + 3 = -4(x) + 4(4)
y + 3 = -4x + 16
- 3 - 3
y = -4x + 13
2x - 3y - 5 = 0
+ 5 + 5
2x - 2x - 3y = -2x + 5
-3y = -2x + 5
-3 -3
y = ²/₃x - 1²/₃
y - (-3) = -1¹/₂(x - 4)
y + 3 = -1¹/₂(x) + 1¹/₂(4)
y + 3 = -1¹/₂x + 6
- 3 - 3
y = -1¹/₂x + 3
its b because the others are incorrect
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y = mx + b
-2 = 2(3) + b
b = -2 - 6
b = -8
So, Equation would be: y = 2x - 8
Hope this helps!
Plant 2 : P2 (x) = -0.02x^2 + 21x - 1700
Find polynomials representing the difference in profits between the companies. Find P1(x) - P2 (x) and P1 (x). Compare the two differences and draw conclusions. Show work and make a equation
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P1(x) - P2(x) = -0.01x² + 4x + 200
This shows that P1(x) profit is less than P2(x).
P2(x) - P1x = 0.01x² - 4x - 200
This shows that P2(x) profit is more than P1(x).
What is a polynomial?
Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
Plant 1:
P1 (x) = -0.03x² + 25x - 1500
Plant 2:
P2 (x) = -0.02x² + 21x - 1700
P1(x) - P2(x):
= -0.03x² + 25x - 1500 - (-0.02x² + 21x - 1700)
= -0.03x² + 25x - 1500 + 0.02x² - 21x + 1700
= -0.01x² + 4x + 200
For any x value, we will get a negative value.
This means,
P1(x) profit is less than P2(x).
P2(x) - P1x:
= -0.02x² + 21x - 1700 - (-0.03x² + 25x - 1500)
= -0.02x² + 21x - 1700 + 0.03x² - 25x + 1500
= 0.01x² - 4x - 200
For any x value, we will get a positive value.
This means,
P2(x) profit is more than P1(x).
Thus,
P1(x) - P2(x) shows that P1(x) profit is less than P2(x).
P2(x) - P1x shows that P2(x) profit is more than P1(x).
Learn more about polynomials here:
#SPJ2
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mixed number 9 3/4
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also they may not be an authority on the nutrition levels of citric products
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Answer:
2^(8p) =2^(5p+15)
Step-by-step explanation:
16 ^ 2p = 32 ^ (p+3)
Rewrite each number as a power of 2
16 = 2^4
32 = 2^5
2^4 ^ 2p =2^5 ^ (p+3)
We know a^b^c = a^(b*c)
2^(4 * 2p) =2^(5 * (p+3))
2^(8p) =2^(5p+15)