It takes 3/9 to make 1/3.
You multiply the 1 (in 1/3) by 3, and you multiply the 3 (in 1/3) by 3. You get 3/9. You needed to multiply by 3 to make 1/3 have a common denominator is 9.
An equation that forms a straight line on a graph.
More precisely, a linear equation is one that is dependent only on constants and a variable raised to the first power. For example, y=6x+2 is linear because it has no squares, cubes, square roots, sines, etc. Linear equations can always be manipulated to take this form:
ax+b=0
You won't always see linear equations written exactly like that, but keep in mind that we can manipulate equations to put them in a particular form if necessary.
Linear equations are often written with more than one variable, typically x and y. Such equations will have many possible combinations of x and y that work. When those points (known as coordinate pairs) are plotted on an x-y axis, they will form a straight line. Let's take a look at this graphically below. The two equations drawn are linear. Note that one is in the form y=3 (it is dependent on just a constant, 3), and the other equation is y=0.75x−0.5 (a linear term and a constant).
Answer:
-1/7
Step-by-step explanation:
First you need to understand negative exponents. Baisically it means 1/the number to the positive power. For this problem, it's
1/(-7)^1
-7^1=-7
(-7)^-1=-1/7
Answer:
8x-7x^2-39
Step-by-step explanation:
Given:
bottle of room freshener = 40 grams
evaporates at the rate of 15% per day.
f(x) = 40(.85)^x
x y
1 34
2 28.9
3 24.57
4 20.88
5 17.75
<span>graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis</span>
