Answer:
y + 1 = 4(x - 2)
y = 4x + 11
8x - 2y = 6
Step-by-step explanation:
Following equations are parallel to the graph 4x - y = 6, because their slopes are equal (4).
y + 1 = 4(x - 2)
y = 4x + 11
8x - 2y = 6
The standard form of a quadratic equation is
, while the vertex form is:
, where (h, k) is the vertex of the parabola.
What we want is to write
as
First, we note that all the three terms have a factor of 3, so we factorize it and write:
.
Second, we notice that
are the terms produced by
, without the 9. So we can write:
, and substituting in
we have:
.
Finally, distributing 3 over the two terms in the brackets we have:
.
Answer:
Answer: She can use 4 gigabyte while remaining in her budget.
Step-by-step explanation:
You would first subtract 54 from 70 which leaves you with 16,
Then you would divide 16 by 4 to find how many gigabytes she could use which gives you 4
So she can use 4 gigabyte while remaining in her budget.
Learn more about basic mathematics operations here
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Answer:
Step-by-step explanation:
Method
Inversely in this sentence means
y = k/x
So you first step is to find the value of k. You do that by setting up an inverse relationship with y = 2 , x = 5
2 = k/5 Multiply both sides by 5
2*5 = 5*k/5
10 = k
Now you are able to answer the question.
y = 10/x
3= 10/x Multiply both sides by x
3*x = x * 10/x
3x = 10 Divide both sides by 3
3x/3 = 10/3
x = 3.33 or x = 3 1/3
Answer
x = 3.33 or x = 3 1/3
You have to get rid of 1/2 by multiplying it by its recriprocal which is like this:
1) 1/2 x 2/1 which equals to zero and you do the same to the other side.
2) -12 x 2/1 = -24x then multiply-24x with 7 which equals -168.
16-x= -24x -168
3) subtract 16 to the other side and subtract 24x with x
23x= -184
4) divide by 23 to isolate x and you get -8
5) x=-8