Using the slope line formula,
The slope of line y = mx is 1.0315.
We have given that,
parabola equation is y = 5x - 3x²
line passing through origin is in the form of y = mx
==> mx = 5x - 3x²
==> 3x²+ mx - 5x = 0
==> 3x² + x(m -5) = 0
==> x(3x + (m -5)) = 0
==> x = 0 , x = (5 -m)/3
The total area of the bounded region is then the integral of 5x - 3x² from x = 0 to x = (5-m)/3
Area under y = 5x - 3x2 and y = mx is (125/54)/2 = 125/108
==> [0 to (5 -m)/3] ∫(5x - 3x²-mx )dx = 125/108
==> [0 to (5 -m)/3]∫( (5 - m)x - 3x2 )dx = 125/108
==> [0 to (5 -m)/3] ((5 - m)x²/2 - x³ )= 125/108
==> (5 - m)[(5 -m)/3]²/2 - ((5 -m)/3)³ = 125/108
==> (5 -m)³/18 - (5 -m)³/27 = 125/108
==> (5 -m)³/54 = 125/108
==> (5 -m)³ = 125/2
==> (5 -m) = 3.9685
==> m = 5 - 3.9685
==> m = 1.0315
Hence slope of line = 1.0315
To learn more about slope of line , refer:
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<span>This really doesn't make any sense.
A tangent is the slope of a curve at some given point, so it's a straight line. "Chords" don't even apply to straight lines.
The only response that's even in the same galaxy as this weird question is zero.
It's like asking....how many dinosaurs live in the cow pasture?</span><span>
</span>
Answer:
3040cm
Step-by-step explanation:
you simply multiply 10 by 19 to get 190 than do 190 times 16 where u would go 6 times 0 =0 6 times 9 =54 leave the 4 carry the 5 than 6 times 1 is 6 but add the 5 to get 1140 than for the 1 simply put a placeholder 0 than just put 190 since you're multiplying by one to get 3040
Answer:
c: w < 2
Step-by-step explanation:
first move the left w to the left side of the equation which becomes -5w -7 > 3
and then move -7 to the right side of the equation. -5w> -10 and then divide -10 by -5 but since your dividing by a negative number u flip the sign and it becomes w < 2
Take 40 and multiply it by any number bigger than 2 then add 4.
124,164,204
