Answer:
<h3>
x = -4</h3>
Step-by-step explanation:
vertical line is parallel to y-axis so its equation is always x = x₀
at any given point we have coordinates: (x₀, y₀)
given point (-4, 7) means x₀ = -4
so the equation of a vertical line passing through the point (-4, 7) is x=-4
Answer:
x³ - 12x² + 43x - 40
Step-by-step explanation:
f(x) × g(x)
= (x - 5)(x² - 7x + 8)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x² - 7x + 8) - 5(x² - 7x + 8) ← distribute both parenthesis
= x³ - 7x² + 8x - 5x² + 35x - 40 ← collect like terms
= x³ - 12x² + 43x - 40
Please use " ^ " to denote exponentiation:
<span>f(x) = –(x + 8)^2 – 1
Find the first derivative: f '(x) = -2(x+8)(1)
Set this = to 0: -2(x+8) = 0
solve for x: x = -8
Divide the number line into subintervals based upon x=-8:
(-inf, -8) and (-8, inf)
Choose a test value for x from each interval, e. g., -10 from the first interval and 20 from the second.
Subst. this test value into the derivative, shown above.
If the result is + the function is incr on that interval; if - the fn. is decr.
Questions welcome!</span>
The answer is 10 to the 2nd power
