Answer: 56 per day
Step-by-step explanation:
The answer to the first question of the attached document is option 1. We obtain the answer subtracting the term n from the series with the term n-1.For example:
-3 - (- 5) = 2
-1 - (- 3) = 2
1 - (- 1) = 2
So you can see that the common difference is the 2.
The answer to the second question is option 3:
y = | x + 7 |
We can confirm it by substituting values in the equation.
For example:
if we do y = 0 then x = -7
if we do x = 0 then y = 7.
As corresponds in the graph shown.
Remember also that as a general rule yes to the equationy = | x | whose vertex is in the point (0,0) we add a positive real number "a" of form y = | x + a | then the graph of y = | x | will move "to" units in the negative direction of x.
The answer to the third question is option 4.
The quotient of x and "and" is constant.
k = y / x
Rewriting:
y = kx
You can see that it corresponds to the equation of a line that passes through the origin, this means that and is proportional to x and both vary directly
10 minutes. You see the dip or the part of the graph where it's lower than the other points? Look at how many minutes went past.
Answer:
x = 56
Step-by-step explanation:
To start, distribute the 1/3 onto the x and the 4 in the parenthesis. That leaves you with
1/3x + 4/3 = 20
We want the x value by itself so we're going to subtract the 4/3 from the left and the right side, leaving us with
1/3x + 4/3 = 20 - 4/3
1/3x = 18 & 2/3 (since we're dealing with fractions, I'm going to change the 18 & 2/3 into an improper fraction just to make the next step easier.)
1/3x = 56/3
The last step is to divide the 1/3 off of the x, so x is by itself. To divide a fraction by a fraction, just flip the fraction you're dividing with and multiply.
56/3 x 3/1 = 56 (56 x 3 is 168, and 3 x 1 is 3, so when you reduce 168/3, you get 56)
So, 56 is our answer, because after dividing off the 1/3, we're left with x = 56
Answer:
899.5
Step-by-step explanation:
