Answer:
8 hours
$480
Step-by-step explanation:
Let us assume the hours be x
There should be two equations
For Plumber A = 60x
For Plumber B = 40 + 55x
Now in order to considered the cost to be the same we equate these two equations
60x = 40 + 55x
5x = 40
x = 8 hours
Now the total cost for plumber A is
= 480
And, the total cost for plumber B is
= 40 + 55(8)
= 480
hence, the total cost is $480
The vertex form of the equation f(x) = x^2 - 3x, is f(x) = (x - 3/2)^2 - 9/5
<h3>How to rewrite the
quadratic function?</h3>
The quadratic function is given as:
f(x) = x^2 - 3x
Differentiate the function
f'(x) = 2x - 3
Set the function to 0
2x - 3 = 0
Add 3 to both sides
2x = 3
Divide by 2
x = 3/2
Set x = 3/2 in f(x) = x^2 - 3x
f(x) = 3/2^2 - 3 * 3/2
Evaluate
f(x) = -9/5
So, we have:
(x, f(x)) = (3/2, -9/5)
The above represents the vertex of the quadratic function.
This is properly written as:
(h, k) = (3/2, -9/5)
The vertex form of a quadratic function is
f(x) = a(x - h)^2 + k
So, we have:
f(x) = a(x - 3/2)^2 - 9/5
In f(x) = x^2 - 3x,
a = 1
So, we have:
f(x) = (x - 3/2)^2 - 9/5
Hence, the vertex form of the equation f(x) = x^2 - 3x, is f(x) = (x - 3/2)^2 - 9/5
Read more about vertex form at
brainly.com/question/24850937
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Answer:
3x²-1
Step-by-step explanation:
f(x) = x²
g(x) = 3x-1
[g·f](x)
g(f(x))
3(x²)-1
Answer:
False
mind giving me brainliest im on my way to ace, thanks!
Step-by-step explanation:
Answer:
1800 miles
Step-by-step explanation:
Distance = rate X time. D=R x T
d=x(4.5)
d=4.5x. (First trip)
D=(x+25)(4)
D= 4x + 100. (Return trip)
Total distance
4.5x = 4x +100
X = 200
4.5(200) = 4(200) + 100
1800
