Answer:
Option C.
Step-by-step explanation:
We know that
f(t) = 1.5t + 50
represents the approximate population of trout in Sky Lake
And
g(t) = 0.1t^2 - 4t + 70
represents the approximate population of trout in Lake Cyan
The total trout population in the area is described as
f(t) + g(t)
f(t) + g(t) = [1.5t + 50] + [0.1t^2 - 4t + 70]
f(t) + g(t) = [1.5t + 50+ 0.1t^2 - 4t + 70]
f(t) + g(t) = [0.1t^2 -2.5t + 120]
f(t) + g(t) = 0.1t^2 -2.5t + 120
Option C.
It would be 5/8 Inches from the edge
<span>The discriminant of a quadratic equation is the b^2-4ac portion that the square root is taken of. If the discriminant is negative, then the function has 2 imaginary roots, if the discriminant is equal to 0, then the function has only 1 real root, and finally, if the discriminant is greater than 0, the function has 2 real roots. So let's look at the equations and see which have a positive discriminant.
f(x) = x^2 + 6x + 8
6^2 - 4*1*8
36 - 32 = 4
Positive, so f(x) has 2 real roots.
g(x) = x^2 + 4x + 8
4^2 - 4*1*8
16 - 32 = -16
Negative, so g(x) does not have any real roots
h(x) = x^2 – 12x + 32
-12^2 - 4*1*32
144 - 128 = 16
Positive, so h(x) has 2 real roots.
k(x) = x^2 + 4x – 1
4^2 - 4*1*(-1)
16 - (-4) = 20
Positive, so k(x) has 2 real roots.
p(x) = 5x^2 + 5x + 4
5^2 - 4*5*4
25 - 80 = -55
Negative, so p(x) does not have any real roots
t(x) = x^2 – 2x – 15
-2^2 - 4*1*(-15)
4 - (-60) = 64
Positive, so t(x) has 2 real roots.</span>
Hey You!
31% = 0.31 = 0.31 × 575 = 178.25
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