Answer:
15√15−15√5+15√3−15
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form: 15√15−15√5+15√3−15
Decimal Form: 35.53449264…
Answer:
B
Step-by-step explanation:
hdjdjjejdjdjdjdjejejekkdkd
Answer:

The solution of the system can be given as (5,-8).
Step-by-step explanation:
Given system of equations:


To solve the given system of equations:
Solution:
We will use substitution to solve the given system.
We will substitute the
values in terms of
from the equation
into the other equation to solve for 
Substituting
into
.
We have:

<em>Using distribution.</em>

<em>Combining like terms.</em>

Adding 6 both sides.


Dividing both sides by 3.

∴ 
<em>Plugging in
into
.</em>
We have,

∴ 
The solution of the system can be given as (5,-8).
Explanation:
using the parabola formula:
y = a(x-h)² + k²
vertex = (h, k)
We are given a parebola equation of: y = x²+9
comparing both equations to get the vertex:
y = y
a = 1
(x-h)² = x²
x² = (x + 0)²
(x-h)² = (x + 0)²
h = 0
+k = +9
k = 9
The vertex of the parabola as (x, y): (0, 9)
Answer:
g(x) is shifted 6 units to the left
Step-by-step explanation:
Lets try to simplify g(x) since has a few extra terms:
g(x)= 3x+12-6=3x+6
Now it is easier to compare the two functions.
We can tell that they both have the same slope, both differs on a extra term
This term tell us that the g(x) is shifted to the left (it is positive 6)
Another approach to the solution is to plot the two functions together by obtaining the crossing points with the 'y' axis and with the 'x' axis
the result is shown in the attached picture