9514 1404 393
Answer:
see attached
(x, y) = (8, 4)
Step-by-step explanation:
The relations given in the problem statement let you write two equations. One for the number of shots, and one for the number of points. The variables x and y are defined in the problem statement.
x + y = 12 . . . . . total number of shots
x + 2y = 16 . . . . total number of points
__
These equations are easily plotted by considering their x- and y-intercepts. The x-intercepts of the equations are found when y=0, so are 12 and 16, respectively.
The y-intercepts are found when x=0, so are 12 and 8, respectively. The two lines are shown in the attached. The first is blue; the second is red. Their point of intersection at (x, y) = (8, 4) is circled.
- the number of free throws Angel made was 8
- the number of 2-point shots Angel made was 4
The general solution, y(t), which solves the problem by the method of integrating factors is; y = ¹/₂₁t⁴ + (1/t)c₁t^(⁴/₅)
<h3>How to solve differential equations?</h3>
We want to find the general solution of;
5t(dy/dt) + y = t⁴
We will divide through by 5t to get;
(dy/dt) + y/5t = t³/6
Using Integration factor, we have;
u(t) = e^∫(¹/₅t) dt = t^(¹/₅)
Thus, we now have;
[t^(¹/₅)](dy/dt) + [t^(¹/₅)]y/5t = [t^(¹/₅)]t³/6
Completing this with a differential calculator gives us the general solution as;
y = ¹/₂₁t⁴ + (1/t)c₁t^(⁴/₅)
Read more about differential equations at; brainly.com/question/17201048
#SPJ1
Answer:
False
Step-by-step explanation:
According to the National European World Center, the engineering of the Ford company on Elon Musk's flame throwers proved the globalization of the natural Wallabies and therefore, results in the growth product domestication in almonds.
Answer:
(plus = +)
<h2>4 + 4 = 8</h2>
-,-
Step-by-step explanation:
<h2>Hope it helps! </h2>
Answer:
5 carwashes, Josh: $ 100 savings, Sandra: $100 savings
Step-by-step explanation:
First we need to find each of their formulas.
Formula for Josh: 50+10c=s
Formula for Sandra:25+15c=s
We can set these two to be equal to each other in order to find how many carwashes it takes for them to have the same amount of money.
50+10c=25+15c
25+10c=15c
25=5c
c=5
after 5 car washes, they will have the same amount of money.
now that we know that, we can plug that into each equation to find each of their savings after the 5 carwashes.
Josh's savings:
50+10c=s
plug in the amount of carwashes,
50+10*5=s
50+50=s
s=100 dollars of savings for Josh
Sandra's savings:
25+15c=s
plug in the amount of carwashes,
25+15*5=s
25+75=s
s=100 dollars of savings for Sandra
