Answer:
The combined weight is 13 31/40.
Step-by-step explanation:
Given:
Adam buys a box of stuff that weighed 6 3/8. if he buys box of fruit that weighed 7 2/5.
Now, to find the combined weight.
So, we change the mixed fraction to improper first:
Weight of box of stuff = .
Weight of box of fruit = .
Then, by adding to get the combined weight:
Therefore, the combined weight is 13 31/40.
The answer is:
The quadratic function that fits the given picture is:
We can solve the problem and find the correct function that fits the curve below by finding which function intercepts the y-axis at -5 (we can see it from the picture), also, we need to look for a function that represents a parabola opening upwards. We need to remember that when a parabola is opening upwards, its quadratic term coefficient is negative.
So, we can see that from the given functions, the only function that represents a parabola opening upwards and its y-intercept is located at y equal to -5 is the second option:
We have that :
We can see that the quadratic term (a) is negative, and the quadratic function intercepts the y-axis at y equal to -5.
Hence, the answer is:
The quadratic function that fits the given picture is:
Have a nice day!
Note: I have attached a picture for better understanding.
Answer:
answer is:
Step-by-step explanation:
we are asked to find which system of equations can we use to find the roots of the equation:
since the system of equation in last part is given as:
so, on equating both the equations i.e. on equating both the values of 'y' we get the desired equation as:
.
Answer:
Step-by-step explanation:
The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:
A differential equation of the form:
Will have a characteristic equation of the form:
Where solutions are the roots from which the general solution can be found.
For real roots the solution is given by:
For real repeated roots the solution is given by:
For complex roots the solution is given by:
Where:
Let's find the solution for using the previous information:
The characteristic equation is:
So, the roots are given by:
Therefore, the solution is:
As you can see, is the same solution provided by the problem.
Moving on, let's find the derivative of in order to find the constants
and
:
Evaluating the initial conditions:
And
Now we have found the value of the constants, the solution of the second-order IVP is: