I'm assuming your problem is about an arithmetic sequence, with first term equal to -10 and a common difference of 3 (meaning add 3 to a term to get the next term.
The first six terms are -10, -7, -4, -1, 2, 5.
To make a graph, plot points (1, -10), (2, -7), (3, -4), (4, -1), (5, 2), and (6, 5). See the attached picture. The points go steadily uphill, in a straight line. Any arithmetic sequence with a positive common difference will do just that!
Hope this helps!
Answer:
x =
Step-by-step explanation:
Given
19 - = 7 ( subtract 19 from both sides )
- = - 12
Multiply both sides by - 4 to clear the fraction and the negative signs
5x + 6 = 48 ( subtract 6 from both sides )
5x = 42 ( divide both sides by 5 )
x =
This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.
Area of a rectangle:
The area of rectangle of length l and width w is given by:
w(2w + 3) = 9
From this, we get that:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that
, given by the following formulas:
In this question:
Thus a quadratic equation with
Then
Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.
Another similar problem can be found at brainly.com/question/16995958