Answer:
x = 36
Step-by-step explanation:
The angles 3x - y and 2x + y form a straight angle and are supplementary, so
3x - y + 2x + y = 180
5x = 180 ( divide both sides by 5 )
x = 36
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5y and 3x - y are vertical angles and congruent, hence
5y = 3x - y ( add y to both sides )
6y = 3x ← substitute x = 36
6y = 3 × 36 = 108 ( divide both sides by 6 )
y = 18
1 & 4 & 6 are the answers
A relation is a function if it has only One y-value for each x-value. Functions f(2/3)=2/9 for f(x)=2x²-4x+2 and f(1/4)==-21/4 for f(x)=4x²+2x-6
<h3>What is a function?</h3>
A relation is a function if it has only One y-value for each x-value.
The given function is
f(x)=2x²-4x+2
Put x=2/3
f(2/3)=2(2/3)²-4(2/3)+2
=2(4/9)-8/3+2
=8/9-8/3+2
=(8-24+18)/9
f(2/3)=2/9
Now f(x)=4x²+2x-6
Put x=1/4
f(1/4)=4(1/4)²+2(1/4)-6
=4/16+2/4-6
=1/4+1/2-6
= 1+2-24/4
f(1/4)==-21/4
Hence functions f(2/3)=2/9 for f(x)=2x²-4x+2 and f(1/4)==-21/4 for f(x)=4x²+2x-6
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Well compared to the parent function x^2, the graph of y=-3x^2+3 is flipped upside down (negative sign), steeper, and is up 3 units from the origin.
Answer:
39
Step-by-step explanation:
Angles are supplementary when they add up to 180. So, we know the other angle that isn't 58 is 
. Therefore, 
