Martin was given this expression to simplify: 23x + xy – y + 3y + 5 – 20x + 6xy He simplified the expression to: 43x + 7xy −3y W
2 answers:
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Answer:
the best option would be to swim
Step-by-step explanation:
Hello! To solve this problem we must follow the following steps.
1. remember the concept of uniform motion with constant speed, which establishes the following equation
where
t=time
x=distance
V=speed
2. Calculate the time it takes to swim and calculate the time it takes to walk
walking:
x=10mile
v=5milles/h
swimming
x=1mile
v=3milles/h
3. Compare both results and choose the one with the least time.
as you can see it takes less time swimming, so this would be the best way
Answer:
Part A:
( 1.8333, -0.08333)
Part B:
x = 2 or x = 5/3
Step-by-step explanation:
The quadratic equation
has been given.
Part A:
We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.
Setting the derivative to 0;
6x - 11 = 0
6x = 11
x = 11/6
The corresponding y value is determined by substituting x = 11/6 into the original equation;
y = 3(11/6)^2 - 11(11/6) + 10
y = -0.08333
The vertex is thus located at the point;
( 1.8333, -0.08333)
Find the attached
Part B:
We can use the quadratic formula to solve for x as follows;
The quadratic formula is given as,
From the quadratic equation given;
a = 3, b = -11, c = 10
We substitute these values into the above formula and simplify to determine the value of x;
