Answer:
18 terms
Step-by-step explanation:
The first given sequence has first term a1=2 and common difference d=5. Its explicit formula is ...
an = 2 +5(n -1) = 5n -3
We want the n-th term of this sequence to be the same as the n-th term of the sequence defined by ...
an = 4n +15
We can find n that makes this true by setting the 'an' values equal:
an = an
5n -3 = 4n +15
n = 18 . . . . . . . . . . add 3-4n
The number of terms in each sequence is 18.
_____
<em>Additional comment</em>
The last term in each sequence is 87.
Answer:
x=-3 y=17 (-3;17)
Step-by-step explanation:
-3x+8-y=0
-5x+2-y=0
-2x-6=0
So: x=-3
While....by substituting: y=17
Answer:
15 x 30
Step-by-step explanation:
Distribute -5 to each variable in the parenthesis.
-5 x -3 = 15
-5 x -6 = 30
15 x 30
Answer:
(0,-2)
Step-by-step explanation:
First we find the equation of the line passes through
and
.
The slope of the line is

So by the point slope formula the equation of the line is

When
we have
.
Therefore the line joining the two points cuts the y-axis at (0,-2).
Answer:
Parent Function: y = x^2
Vertex: (1,3)
Axis of Symmetry: x = 1
Y-Intercept(s): (0,1)
X-Intercept(s): (1−√62,0),(1+√62,0)
Step-by-step explanation:
hope this helps! =)