Its line 1
if we expand the second and third expressions they come back to the first.
The last one is called the vertex form of a parabola
Answer:
5 right and down 3 and (0 means the middle) so middle down 4
Step-by-step explanation:
lit : )
Hi,
Here we are going to be working on isolating the variable y, and seeing what its value equates to.
To do this, we must try and get the variable y on one side of the equation by itself.
Let's look at step one -
<em>4y - 1 = 7
</em>
We want to get rid of the 1 since we need to isolate x. We do this by doing the inverse of its operation. Since 1 is negative, if we add positive 1 to it - we will get 0, thereby being closer to isolating y.
However, when we do something on one side of the equation we must do it on the other. This means we will add 1 on both sides.
<em>4y - 1 + 1 = 7 + 1
</em>
<em>4y = 8
</em>
<em />Remember how I mentioned we do the inverse of the operation? In this case, 4 is multiplying y. The inverse operation of multiplication is division. So, to get rid of the 4 - we must divide 4y by 4, on both sides.
<em>4y / 4 = 8 / 4
</em>
<em>y = 2
</em>
We now know the variable y is equal to 2.
Hopefully, this helps.
Answer:
The set of vectors A and C are linearly independent.
Step-by-step explanation:
A set of vector is linearly independent if and only if the linear combination of these vector can only be equalised to zero only if all coefficients are zeroes. Let is evaluate each set algraically:
,
and
:



The following system of linear equations is obtained:



Whose solution is
, which means that the set of vectors is linearly independent.
,
and 



The following system of linear equations is obtained:


Since the number of variables is greater than the number of equations, let suppose that
, where
. Then, the following relationships are consequently found:




It is evident that
and
are multiples of
, which means that the set of vector are linearly dependent.
,
and 



The following system of linear equations is obtained:



Whose solution is
, which means that the set of vectors is linearly independent.
The set of vectors A and C are linearly independent.
Answer:
h(f(x)) = 2x - 11
Step-by-step explanation:
substitute for x in h (x), the values of f(x)
h(f(x))= 2(x-7)+3
=2x-14+3
=2x-11