Answer:
10j^2 +j
Step-by-step explanation:
I added the first two terms since they have the same exponent and then left the j because its not squared or anything
2x^2 + x -3 can be factorised
<span>[2x + 3][x - 1] </span>
<span>As length times width = area </span>
<span>one possible set of measurements are </span>
<span>length = [2x + 3] </span>
<span>width = [x-1] </span>
Answer:
<em>The measure of the angles is 45° and 135°</em>
Step-by-step explanation:
When two lines intersect, a linear pair of angles is formed. Two angles are said to be linear if they are adjacent, so a linear pair of angles must add up to 180 degrees.
Let's call x and y the two required angles. Knowing they form a linear pair:
x+y=180
We also know one angle is 1/3 of the other angle, thus:
x=y/3
Or, equivalently:
3x=y
Substituting y into the first equation:
x+3x=180
Simplifying:
4x=180
Solving:
x=180/4=45
The other angle is:
y=3x=3\cdot 45=135
Thus the measure of the angles is 45° and 135°
A scale factor of 3 was used
These functions are expressed in the factored form: what this means is that say for the first one y=(x-4)(x-1)(2+x)(3+x) ... when x=4, the first bracket becomes 0. Same for x=1, x=-2, x=-3 ...
If you were to graph this, you would see that the function's line interesects the x-axis at these points... when x=4, when x=1, etc etc.
Thus, take a look at the zeroes of the graph. At which x points do they interscet the x-axis? You can determine the equation of your graph by this.
