Answer:
We get x=3 and y=21
The ordered pair will be: (3,21)
Step-by-step explanation:
We need to use the substitution method to solve the system of equations.
For substitution method we substitute the value of x or y from one equation to other.
Let:
Putting value of y from equation 2 into equation 1
So, we get value of x=3
Now, for finding value of y, We substitute the value of x
Find value of x from equation 2
Now, putting value of x in equation 1
So, we get value of y=21
So, We get x=3 and y=21
The ordered pair will be: (3,21)
Answer:
Quarters = q = 200
Dimes = d = 756
Step-by-step explanation:
Let
Dimes = d
Quarter = q
Value of each Dime = 0.10
Value of each Quarter = 0.25
d + q = 956 (1)
0.1d + 0.25q = $125.60 (2)
From (1)
d = 956 - q
Substitute d = 956 - q into (2)
0.1d + 0.25q = $125.60
0.1(956 - q) + 0.25q = $125.60
95.6 - 0.1q + 0.25q = $125.60
- 0.1q + 0.25q = 125.60 - 95.6
0.15q = 30
Divide both sides by 0.15
q = 30 / 0.15
= 200
q = 200
Substitute q = 200 into (1)
d + q = 956
d + 200 = 956
d = 956 - 200
= 756
d = 756
Therefore,
Quarters = q = 200
Dimes = d = 756
Hiiiiiiiiiiiiiiiiiiiiiiii 27384839-272737=2727278
Answer:
Quadratic functions are those where their rate of change changes at a constant rate. Exponential functions are those where their rate of change is proportional to itself.
An example of a quadratic function would be the shape that a ball makes when you throw it. Gravity causes a constant acceleration, the ball slows down as it is moving up, and then it speeds up as it comes down.
An example of an exponential function would be the population of a bacterium as long as there is enough space and nutrients or how your money grows with compound interest in a bank.
A quadratic function is one in the form
f(x)=ax2+bx+c
It’s rate of change (first derivative) is linear.
f′(x)=2ax+b
The rate of the rate of change (second derivative) is constant.
f′′(x)=2a
Quadratics are then the solutions to the differential equation
f′′=C
An exponential function is one in the following form.
g(x)=Aekx
It’s rate of change is another exponential function.
g′(x)=Akekx
So exponentials are the solutions to the differential equation
g′=kg
Step-by-step explanation:
Yes. : )
1.) It would be: 27/36 = 3/4 = 0.75
