Answer:
the answer is 60 x 10^3 in scientific notation
Step-by-step explanation:
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The value of the function 1) f -g = 2x² - 3x + 6 and 2) f(g(2)) is 3.
Here the two functions are given, f(x) and g(x).
f(x) = 2x² + 1
g(x) = 3x - 5
We have to find f-g and f(g(2)).
1) f- g
f(x) - g(x)
(2x² + 1) - ( 3x - 5)
2x² + 1 - 3x + 5
2x² - 3x + 6
2) f(g(2))
f(g(x)) = 2(3x-5)² + 1
= 2( 9x² - 30x + 25) + 1
= 18x² - 60x + 50 + 1
= 18x² - 60x + 51
f(g(2)) = 18(2)² - 60(2) + 51
=18× 4 - 120 + 51
= 72 - 120 + 51
= 123 - 120
= 3
Therefore the value of f-g is 2x²- 3x + 6 and the value of f(g(2)) is 3.
To know more about the function refer to the link given below:
brainly.com/question/11624077
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perimeter = 2width + 2 length
102 = 2(x+9) + 2x
102 = 2x + 18 +2x
102 = 4x +18
84 = 4x
21 = x
Length = x = 21 inches
Width = x + 9 = 21 + 9 = 30 inches
Answer:
c. sin 30 is positive and sin -30 is negative
Step-by-step explanation:
Picture the unit circle (which is attached). <u>Sine is like the y-coordinate.</u> And -30 and 30 on the unit circle both form equally-sized triangles, but -30 is underneath the x-axis, so it has a <u>negative y-coordinate.</u> 30 is above the x-axis, so it has a <u>positive y-coordinate.</u>
