Answer:
2 times as long is the ans.
Answer:
A pipe that is less than 8ft could fit in the box
Step-by-step explanation:
X^a/b is
. The way I memorise that is x^1/3 is the cubic root of x. Do you get it? In that case, x is raised to a power of 1 and the cubic root is practically has a power of 3.
In your example,
is practically square rooting each term then cubing them individually. Remember when square-rooting any index you halve it. I'll elaborate:
=
= 4
Then cube each,
= 64
and
=
As for the 2nd part: you must use the rules of indices.
So breaking the question up:
3 * 3 = 9
stays as is since the 2nd term does not contain x
now:
This makes your final answer look like this:
I hope that helped and good luck in your test!
<span>Answer:
An x-intercept is where y is zero. With the law of mutiplying by zero, we know that:
If a * b = 0, then a, b, or both must be zero.
So if we want that a function will be zero at 4 and 2, we need to find a function which equals zero at these points.
x = 2 / subtract 2 from both sides.
x - 2 = 0
So the expression is (x - 2).
The expression for x = 4 is (x - 4).
Now we just multiply them and give the function a name:
y = (x - 2)(x - 4)
y = x^2 - 6x + 8.
2. Same idea:
y = (x + 6)(x - 3)
y = x^2 +3x - 18.
3. Once again, same idea:
y = (x + 5)(x - 5)(x - 1)
Since (x + 5)(x - 5) = x^2 - 25, we can calculate:
y = (x^2 -25)(x - 1)
y = x^3 - x^2 -25x + 25.
4. As explained above, yes.
5. Yes, there is an infinite number of functions that fit the conditions of those questions.
Just multiply the same factor over and over:
For 1:
y = (x - 2)(x - 2)(x - 4)
y = (x^2 - 6x + 8)(x - 2)
y = x^3 - 8x^2 + 20x - 16.
The same goes for 2 and 3.</span>
Answer:
73 dollars and 50 cents
Step-by-step explanation:
Initial Deposit:
70
Years to Save:
1
Estimated Rate of Return
5
Compound Frequency:
Annually
Earned Interest
$3.50
Total Balance
$73.50
Hope this helps!