Answer:
a=4
b=-6
Step-by-step explanation:
3(2ax-10)=24x+5b
6ax - 30 = 24x + 5b
6a = 24
a = 4
5b = -30
b = -6
check: 3(2*4*x - 10) = 24x - 30 = 24x + 5 * (-6) = 24x - 30
Answer:
f(x) = x^3 + x^2 - 33x + 63
Step-by-step explanation:
The zeros are x = 3, x = 3, x = -7.
A polynomial function with zeros x1, x2, x3, ..., xn has the form:
f(x) = (x - x1)(x - x2)(x - x3) ... (x - xn)
The zeros of this function are 3, 3, -7.
The function is:
f(x) = (x - 3)(x - 3)(x - (-7))
f(x) = (x - 3)(x - 3)(x + 7)
Now we multiply out the right side.
f(x) = (x^2 - 6x + 9)(x + 7)
f(x) = x^3 + 7x^2 - 6x^2 - 42x + 9x + 63
f(x) = x^3 + x^2 - 33x + 63
I’m a bit rusty so take my answer with a grain of salt but I believe the equation for a circle in the coordinate plane is as follows
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the vertex
So applying the equation we get the fourth or final answer at the bottom or
(x+1)^2 + (y-2)^2 = 64
Answer:
2.24 s
Step-by-step explanation:
Given:
Δy = 80 ft
v₀ = 0 ft/s
a = 32 ft/s²
Find: t
Δy = v₀ t + ½ at²
80 ft = (0 ft/s) t + ½ (32 ft/s²) t²
t = 2.24 s
The answer is 7. This is the only number greater than 5.
