Answer:
1) distance travelled = 75mi
time taken = 3 hrs.
speed = distance/time
= 75/3 = 25 mi/hr.
now, if time = 1.6 hrs.
Distance = speed x time
= 25 x 1.6 = 40.0 mi
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2) earning for 8 hrs. of work = $120.
therefore, rate of earning per hr. = 120/8 = $15/hr.
so, earning in 11 hrs. = 15 x 11 = $165
Using a system of equations, it is found that:
- The cost of a health bar is of $1.
- The cost o a health drink is of $2.
<h3 /><h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Cost of a health bar.
- Variable y: Cost of a health drink.
You buy 4 health bars and 3 health drinks for $10, hence:
4x + 3y = 10.
Your friend buys 6 health bars and 2 health drinks for $10, hence:
6x + 2y = 10
2y = 10 - 6x
y = 5 - 3x.
Replacing on the first equation:
4x + 3y = 10
4x + 3(5 - 3x) = 10
-5x = -5
5x = 5
x = 1
Then:
y = 5 - 3x = 5 - 3 = 2.
- The cost of a health bar is of $1.
- The cost o a health drink is of $2.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer: d
Step-by-step explanation:
Answer:
a.
b.
Step-by-step explanation:
We have a differential equation
y''-2 y'-35 y=0
Auxillary equation
By factorization method we are finding the solution
Substitute each factor equal to zero
D-7=0 and D+5=0
D=7 and D=-5
Therefore ,
General solution is
Let
We have to find Wronskian
Substitute values then we get
a.
We are given that y(0)=-7 and y'(0)=23
Substitute the value in general solution the we get
....(equation I)
......(equation II)
Equation I is multiply by 5 then we subtract equation II from equation I
Using elimination method we eliminate
Then we get
Substitute the value of in I equation then we get
Hence, the general solution is
b.