Porky the pig weighs 1,125 lbs. Less than Kobe the Cow. After each gains 50lbs. Kobe the Cow will weigh ten times as much as porky the pig. How much does each animal currently weigh?

Step-by-step explanation:

Let x represent the initial weight of Porky the pig.

Porky the pig weighs 1,125 lbs less than Kobe the Cow. This means that the initial weight of Kobe the cow is

x + 1125

After each gains 50lbs. Kobe the Cow will weigh ten times as much as porky the pig. This means that

(x + 1125) + 50 = 10(x + 50)

x + 1125 + 50 = 10x + 500

10x - x = 1125 + 50 - 500

9x = 675

x = 675/9

x = 75

Porky's current weight is

75 + 50 = 125 lbs

Kobe's current weight is

(75 + 1125) + 50

= 1250 lbs

A)The x-intercepts are at x=-2 and x=-4; the y-intercept is at y=8.
B) Vertex form is g(x) = -2(x-2)²+11, and the axis of symmetry is at x=2.
C) It takes 1.75 seconds for the dolphin to complete one jump.

Explanation:
A) To find the x-intercepts, we replace y (in this case, f(x)) with 0 and solve:
0 = (x+3)²-1

First, add 1 to both sides:
0+1 = (x+3)²-1+1
1 = (x+3)²

Take the square root of both sides:
√1 = √(x+3)²
+/- 1 = x+3

Subtract 3 from both sides:
-3 +/- 1 = x

This means x=-3-1 and x=-3+1, or x=-4 and x=-2.

B)  To write g(x) in vertex form, we must complete the square.  First we will factor the GCF of the first two terms out:
g(x) = -2(x²-4x)+3

To find the value that we add (and subtract, to maintain equality) to this function, we take half of the value of b (the one in parentheses) and square it:
(-4/2)²=(-2)²=4

This is what we will add in parentheses.  Since this will be multiplied by -2, this means to cancel it, we will add 8 as well (2*-4 = -8; -8+8=0):
g(x)=-2(x²-4x+4)+3+8
g(x)=-2(x²-4x+4)+11

Factoring the trinomial in parentheses, we have
g(x) = -2(x-2)²+11.

The axis of symmetry is given by x = -b/2a:
x = -8/2(-2) = -8/-4 = 2

C)  We will set this equal to 0 to solve it:
0 = -16t² + 28t

Now we will factor out the GCF, 4t:
0 = 4t(-4t+7)

Using the zero product property, we know that either 4t=0 or -4t+7=0:
4t=0

Divide both sides by 4:
4t/4 = 0/4
t = 0

This is when the dolphin first jumps.

-4t+7=0

Subtract 7 from both sides:
-4t+7-7=0-7
-4t = -7

Divide both sides by -4:
-4t/-4 = -7/-4
t = 7/4 = 1.75