Answer:
f(x) = (-1/2)(x^2 + 8x - 15)
Step-by-step explanation:
This function has two roots: -3 and 5. Most likely it is a quadratic (all of which have two roots).
Then f(x) = a(x + 3)(x - 5)
The graph goes through (1. 8): Therefore, y = 8 when x = 1:
f(1) = a(1 + 3)(1 - 5) = 8, or
a(4)(-4) = 8, or
-16a = 8, which leads to a = -1/2.
Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or
f(x) = (-1/2)(x^2 + 8x - 15)
I got 41.4 lbs if you round to the nearest tenths
Answer:
They are both correct
Step-by-step explanation:
It's interpretation of the concept. In common practice multiplying by 10 means you add a zero and that's what we teach 10 year olds. But what does adding a zero mean? It means adding a place value and that's what you learn when you are
So in both examples just add a decimal:
2.0 x 10 = 20.
0.2 x 10 = 2.0
In conclusion, it depends on the level of precision required in the discussion and the level of maturity as to who is correct in their examples. If you are teaching 3rd graders math, by all means you add a zero. If you are discussing physics you are shifting over a place value.
Answer: x=3 units. Perimeter:22 units
Step-by-step explanation:
P=perimeter
3x-1=2x+2
x-1=2
x=3 units
P=3x-1+2x+2+2x
P=3(3)-1+2(3)+2+2(3)
P=9-1+6+2+6
P=8+8+6
P=22 units