The y intercept of given equation y = 2x + 10 is (0, 10)
<em><u>Solution:</u></em>
Given equation of line is:
y = 2x + 10
<em><u>To find: y intercept of the line</u></em>
The point where a line or curve crosses the y-axis of a graph is y intercept
<em><u>Finding y - intercept:</u></em>
To find the y-intercept, plug 0 in for 'x' and solve for 'y'
<em><u>Substitute x = 0 in given equation</u></em>
y = 2(0) + 10
y = 0 + 10
y = 10
Thus the y intercept of given equation is (0, 10)
We know that the perimeter of a rectangle can be represented by the expression 2l +2w, where l represents the length of the rectangle and w represents the width of the rectangle.
If we substitute in the values given in this problem, we get the expression:
2(2x+6) + 2(x)
Another equivalent expression we can use to express the perimeter is w + w + l + l.
If we substitute in the values given in this problem into this expression, we get:
x + x + 2x + 6 + 2x + 6
Overall, we know that these expressions are equivalent and represent the same value (the perimeter of the rectangle), because if you combine like terms, both expressions simplify to 6x + 12.
Hope this helps!
Answer:
Step-by-step explanation:A.
Answer:
You need to rent 14 videos, and you'll pay the same amount for both. Renting 15 will make the membership a better method of payment.
Step-by-step explanation:
Let Number of videos to be rented be x;
Given:
For non members;
Cost of renting 1 video = $4
Cost for renting x videos = 
For Members;
Membership cost = $21
Cost of renting 1 video = $2.50
Cost of renting x video = 
We can create an equation. Say the number of videos you rent is given by x
. We can write that, if we rent x videos without membership, we'll have to pay
. If we rent the same amount of videos with membership, we'll have to pay
.
Hence the equation can written as

Hence You need to rent 14 videos, and you'll pay the same amount for both. Renting 15 will make the membership a better method of payment.