Answer:
Equation of the tangent to the curve
y = 240x - 215994
Equation of the normal
y = (-1/240)x + 9.75 = - 0.00417x + 9.75
Step-by-step explanation:
y = (6 + 4x)² = 36 + 48x + 16x² = 16x² + 48x + 36
dy/dx = 32x + 48
At the point (6,900),
dy/dx = 32(6) + 48 = 240
Equation of the tangent at point (a,b) is
(y - b) = m(x - a)
a = 6, b = 900, m = 240
y - 6 = 240(x - 900)
In the y = mx + b form,
y - 6 = 240x - 216000
y = 240x - 215994
The slope of the normal line = -(1/slope of the tangent line) (since they're both perpenducular to each other)
Slope of the normal line = -1/240
Equation of normal
y - 6 = (-1/240)(x - 900)
y - 6 = (-x/240) + 3.75
y = (-1/240)x + 9.75
y = - 0.00417x + 9.75
Answer:
-30x^2-9x+12 all real numbers
Step-by-step explanation:
f(x) = -6x + 3 and g(x) = 5x + 4
f(x) * g(x) = (-6x + 3) * ( 5x + 4)
FOIL
= -30x^2 -24x+15x +12
Combine like terms
=-30x^2-9x+12
The domain is what numbers x can take
There are no restrictions so all real numbers
Answer:
-15º F.
Step-by-step explanation:
Given that on Monday in Minneapolis, Minnesota it’s was 0 ° F outside, while on Tuesday it was 15 degrees colder, to determine what was the temperature on Tuesday the following calculation must be performed:
0 - 15 = X
-15 = X
Thus, the temperature on Thursday was -15º Fahrenheit, which is equal to -26.11º Celcius.
<span>(x^2-4x-6) factors into:</span>
(x -5.1623) (x+1.1623)
Therefore x = 5.1623 and x = -1.1623
(4x^2-8x-2) <span>factors into:
(x -2.2247) * (x +2.2474)
</span>
Therefore x = 2.2247 and x= -0.22474
Answer:
Area = x4 + 4x3 + 3x2 - 4x - 4
Length = x3 +5x2 + 8x + 4
Width = Area / Length.
Performing long division with polynomial.
x4 + 4x3 + 3x2 - 4x - 4 / x3 + 5x2 + 8x + 4 = x-1
Width = x-1
Step-by-step explanation:
