she went down the slope 10.2 meters, -10.2
then she jumped down to the lake 1.5 meters, -1.5
-10.2 - 1.5 = -11.7 meters.
so she pretty much went 11.7 meters down from her original location.
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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Answer:
Pythagoreas Theorem
Step-by-step explanation:
a^2+b^2=c^2
4^2+b^2=15^2
16+b^2=225
b^2= 209
14.45=b
Slope intercept: y = mx + b
Plug in the slope
Y = -3/2x + b
Plug in the point
-9 = -3/2(10) + b, b = 6
Equation: y = -3/2x + 6
Hey there!
8x + 1 + 7x + 4
COMBINE your LIKE TERMS
(8x + 7x) + (1 + 4)
8x + 7x = 15x
1 + 4 = 5
Answer: 15x + 5 ☑️
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