The difference of the given functions is x^2 + 10
<h3>Difference of functions</h3>
Given the following functions
f(x) = 2x^2 + 3 and
g(x)=x^2-7
Take the difference
(f-g)(x) = 2x^2 + 3 - (x^2 - 7)
(f-g)(x) = 2x^2 - x^2 +3 + 7
(f-g)(x) = x^2 + 10
Hence the difference of the given functions is x^2 + 10
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There are 68 hours of Geometry and there are 102 hours for Algebra.
Answer:
Step-by-step explanation:
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The total distance is 15 miles.
Biking 75 miles in 300 minutes gives us the ratio 75/300 = 1/4, or 1 mile per 4 minutes.
Running 30 miles in 240 minutes gives us the ratio 30/240 = 1/8, or 1 mile per 8 minutes.
If she bikes 48 minutes, 48(1/4) = 48/4 = 12 miles.
If she runs 24 minutes, 24(1/8) = 24/8 = 3 miles.
This is a total distance of 12+3= 15 miles.
Ur given a slope of 1/4. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will need a slope of -4. (see how I flipped 1/4 and made it 4/1 or just 4, and then changed the sign making it -4)
y - y1 = m(x - x1)
slope(m) = -4
(5,5)...x1 = 5 and y1 = 5
now we sub
y - 5 = -4(x - 5) <== ur perpendicular equation in point-slope form
