Answer:
x = -7/2
Step-by-step explanation:
-2(5x - 3) = 41
Distribute the -2 inside the parenthesis.
-10x + 6 = 41
Subtract 6 from both sides.
-10x = 35
Divide both sides by -10.
x = 35/-10
Simplify the fraction.
x = -7/2.
Proof:
-2(5x - 3) = 41
Substitute variable.
-2(5(-7/2) - 3) = 41
Multiply 5 and -7/2.
-2(-35/2 - 3) = 41
Turn 3 into a fraction with denominator 2.
-2(-35/2 - 6/2) = 41
Subtract 6/2 from -35/2.
-2(-41/2) = 41
Multiply -2 and -41/2.
41 = 41.
Find the eqn. of the tangent line to the curve of f(x) = x^2 + 5x -5 at (0,-5).
Differentiate f(x) to obtain an expression for the derivative (slope of the tangent line):
f '(x) = 2x + 5
Subst. 0 for x here: f '(0) = 2(0) + 5 = 5 (at the point (0, -5))
Use the point-slope equation of a str. line to find the eqn of the tan. line:
y-k = m(x-h), where (h,k) is a point on the line and m is the slope:
y - [-5] = 5(x-0), or y+5 = 5x. Then y = 5x - 5 is the eqn. of the TL to the given curve at (0,-5).
Answer:
c
Step-by-step explanation:
