Answer:
- amberjack, 21 lbs
- kingfish, 42 lbs
- white marlin, 84 lbs
- tarpon, 105 lbs
Step-by-step explanation:
Let k, a, m, t represent the weights of the kingfish, amberjack, marlin, and tarpon, respectively. The problem statement tells us ...
- k = 2a
- m = 2k
- t = 5a
- k + a + m + t = 252
Using substitution, we can rewrite the last equation as ...
... (2a) + (a) + 2(2a) + (5a) = 252
... 12a = 252 . . . . . collect terms
... a = 21 . . . . . . . . .divide by 12
Then k = 2a = 42; m = 2k = 84; t = 5a = 105.
Answer:
<h2>
k = 3</h2>
Step-by-step explanation:
The vertex is (d, e)
for quadratic function: f(x) = ax² + bx + c we have:
d = -b/a and d = (x₁ + x₂)/2
a = 1, b = k, x₁ = -4, x₂=-2
so:
d = -b/a = -k/1 = -k and d = (x₁ + x₂)/2 = (-4-2)/2 = -3
-k = -3
k = 3
It's 21 square units. If you map it on a complex plane (x-axis is real numbers, y-axis is imaginary numbers) you'll see that the sides of the rectangle is 3 and 7 which multiply to 21.
If I understand this, you have the equation 6(2x+7)-5. This is equal to 12x+37. Hope this helps.