Answer: y=2x-3
Step-by-step explanation:
divide both sides by 7
7y/7=(14x-21)/7
y=2x-3
<em>For</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>image</em><em>,</em><em> </em><em>note</em><em> </em><em>that</em><em> </em><em>slope</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>same</em><em> </em><em>thing</em><em> </em><em>as</em><em> </em><em>gradient</em><em>.</em>
1) y = 2x + 4
2) Substituting in x = 1 and y = 1,
1 = 4(1) + c
1 = 4 + c
c = -3
So, the equation is y = 4x - 3
Answer:
The slope of the line will change from negative to positive
Step-by-step explanation:
the equation is in the form of y=mx+c and m is negative. By multiplying m with another negative number it turns positive, thus slope changes from negative to positive
Answer:
an = 1/2 (4)^ (n-1)
a6 = 512
Step-by-step explanation:
The formula for a geometric sequence is
an = a1 (r)^(n-1)
where an is the term of the sequence
a1 is the initial term of the sequence
r is the ratio
and n is the term number
We know a1 = 1/2 and r =4
I will assume that x=6 means we want to know the 6th term
an = 1/2 (4)^ (n-1)
We want to find the 6th term
a6 = 1/2 * 4^(6-1)
a6 = 1/2 * 4^5
a6 = 512
Answer:

Step-by-step explanation:
You first equate it to zero to get:

Then solve using square root method




Or


Now work it backwards


Hence the factored form is:
