Answer:
The answer is A, 14 inches.
Answer:
y = 2*x^2 - 2*x - 24
Step-by-step explanation:
If we have a quadratic function with roots a and b, we can write the equation for that function as:
y = f(x) = A*(x - a)*(x - b)
Where A is the leading coefficient.
In this case, we know that the roots are: 4 and -3
Then the function will be something like:
f(x) = A*(x - 4)*(x - (-3) )
f(x) = A*(x - 4)*(x + 3)
Now we need to determine the value of A.
We also know that the graph of the function passes through the point (3, -12)
This means that:
f(3) = -12
Then:
-12 = A*(3 - 4)*(3 + 3)
-12 = A*(-1)*(6)
-12 = A*(-6)
-12/-6 = A
2 = A
Then the equation is:
y = f(x) = 2*(x - 4)*(x + 3)
Now we need to write this in standard form, so we just need to expand the equation:
y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)
y = f(x) = 2*(x^2 - x - 12)
y = f(x) = 2*x^2 - 2*x - 24
Then the relation is:
y = 2*x^2 - 2*x - 24
Answer:
Cathy was right ( kinda)
Step-by-step explanation:
let the dimension of the small one be 2a : 2b : 2c
then the dimension of the big one be 3a : 3b : 3c
volume of small: 2a*2b*2c = 8 abc
volume of big: 3a*3b*3c = 27 abc
volume ratio: big/ small = 27/8 = 3.375
-> big one hold 237.5% more than small
-> Cathy was right ( kinda)
For this case we have the following equation:
Where,
D: t<span>he density of a particular substance
v: </span><span> the volume of the substance
</span>When replacing v = 0 in the given equation we have:
This means that as the function acquires values very close to zero, the density acquires a very large value.
Answer:
as the volume approaches 0:
<span>
The density approaches infinity.
</span>
option 1<span>
</span>
Answer:
B
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
f'(3) = - 4 ← is the slope of the line at x = 3
and f(3) = 2 is the point (3, 2 ) thus
y - 2 = - 4(x - 3) ← add 2 to both sides
y = - 4(x - 3) + 2 → B
