Answer:
2x > 0
Step-by-step explanation:

50 × y = x × 100
50y = 100x
50y ÷ 50 = 100x ÷ 50
y = 2x
<h2><u>DIRECT RULE OF 3</u></h2>
We use a rule of 3 to solve it.
Let's record the data:
253 miles → 8 hours
x miles → 7 hours
Let's solve:



<h3><u>Answer</u>. The car can travel 221,375 miles in seven hours.</h3>
Answer:
Euler's method is a numerical method used in calculus to approximate a particular solution of a differential equation. As a numerical method, we have to apply the same procedure many times, until get the desired result.
In first place, we need to know all the values the problem is giving:
- The step size is 0.2; h = 0.2. This step size is a periodical increase of the x-variable, which will allow us to calculate each y-value to each x.
- The problem is asking the solution y(1), which means that we have to find the y-value assigned for x = 1, through the numerical method.
- The initial condition is y(0) = 9. In other words,
.
So, if the initial x-value is 0, and the step size is 0.2, the following x-value would be:
; then
;
; and so on.
Now, we have to apply the formula to find each y-value until get the match of
, because the problem asks the solution y(1).
According to the Euler's method:

Where
, and
;
.
Replacing all values we calculate the y-value assigned to
:
.
Now,
,
. We repeat the process with the new values:

Then, we repeat the same process until get the y-value for
, which is
, round to four decimal places.
Therefore,
.
Answer:
58p+15
Step-by-step explanation:
First, we want to get rid of the parentheses in the equation. To do that, let's start with 7(1+10p). We multiply 7 by each item in the parenthesis, and get 7+70p. Keep that little thing in mind, we will use it later. Next, same process with the other part, and we get 8+48p. We multiplied both parts out, so now we just add like terms. 7 and 8 don't have letters, so we add them to get 15. 10p and 48p do have letters, so we add those together and get 58p. We can't add that to the other numbers, because 58p is 58 times p, and 15 doesn't have that p so it wouldn't work without knowing p. What we are left with, by simplifying the problem, is 58p+15, or 15+58p. The order doesn't matter, as long as you have that answer.
You should graph it to find out, but you will see that (2, 5) does not lie on the line that the other coordinates do.