Answer:
1. |r| = 1/4. or 0.25
2. Since r < 1, the geometric series is convergent.
3. To obtain the sum, we consider the formula of obtaining the sum to infinity of a geometrical series;
S = a /(1 - r)
where a = 2 ( first term)
r = 0.25 ( common ratio)
Therefore:
S = 2 /( 1 - 0.25)
= 2 / 0.75
= 8/3 or 2.6667
Hence, the sum is 8/3
Ok im not sure the answer yet so ima work on it at the same time while im explaining it. (The answer will probably be near the end)
We can use the elimination method to eliminate y out. To do that we multiply the first equation by 3.
6x+3y=-12
Now just subtract it from the other equation.
6x+3y=-12
5x+3y=-6
***x=-6***
Usually after doing the elimination method you will have to solve for x but in this case its already solved for you. If you want to find y now you just take the first equation and fill x with -6 and solve for y.
2(-6)+y=-4
-12+y=-4
y=8
Brainliest my answer if it helps you out?
Answer:
<h2>Independent variable: Weight of Onions.</h2><h2>Dependent variable: Total Cost.</h2>
Step-by-step explanation:
The given table is about the weight of onions in pounds and the total cost.
If you think this through, you would notice that the total cost depends on the number of pounds of onions. That means the independent variable is Weight of Onions and the dependent variable is the Total Cost.
So, to put it in a sentence: The weight of onions determines the total cost.
Answer:
x = -6.8
Step-by-step explanation:
3/4 (x) − 1.72 = −6.82
Add 1.72 to each side
3/4 (x) − 1.72+1.72 = −6.82+1.72
3/4x =-5.1
Multiply each side by 4/3 to isolate x
4/3 * 3/4x = -5.1 *4/3
x =-6.8