232,233,234,235,236,237,238
Answer:
(10, 3)
Step-by-step explanation:
Solve by Substitution
2x − 4y = 8 and 7x − 3y = 61
Solve for x in the first equation.
x = 4 + 2y 7x − 3y = 61
Replace all occurrences of x with 4 + 2y in each e quation.
Replace all occurrences of x in 7x − 3y = 61 with 4 + 2y. 7 (4 + 2y) − 3y = 61
x = 4 + 2y
Simplify 7 (4 + 2y) − 3y.
28 + 11y = 61
x = 4 + 2y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
11y = 33
x = 4 + 2y
Divide each term by 11 and simplify.
y = 3
x = 4 + 2y
Replace all occurrences of y with 3 in each equation.
Replace all occurrences of y in x = 4 + 2y with 3. x = 4 + 2 (3)
y = 3
Simplify 4 + 2 (3).
x = 10
y = 3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(10, 3)
The result can be shown in multiple forms.
Point Form:
(10, 3)
Equation Form:
x = 10, y = 3
Answer:
Step-by-step explanation:
The area of the rectangle can be written as:
here, x is one side length, and h is the other side length. This area is said to be equal to 54 square meters.
The perimeter of a rectangle can be written as:
To express perimeter only in terms of x (in other words making it a function P(x)). we need to replace h. And this can be done by using the equation of area that we derived earlier.
now we can substitute this 'h' into our equation of the perimeter.
and voila! we have expressed P in terms of x only.
this can be written as P as a function of x as:
An exponential equation is represented as: 
, where b represents rate
- Exponential growth:
, 
and 
- Exponential decay:
- Neither:
An exponential equation is said to represent growth, if the rate is greater than 1, while it represents decay if the rate is less than 1.
This means that:
, and represent exponential growth because 5, 4.2 and 1.3 are greater than 1
Also,
represents exponential decay because 0.28 is less than 1
While
is not an exponential function
Read more about exponential functions at:
brainly.com/question/11487261
