z = 2y
Step-by-step explanation:
..... (given)
... (exterior alternate angles)
Five carpenters worked 15 & 3/4, 15 & 1/4, 17 & 1/2, 12 & 1/2 and 17 & 1/2 hours respectively. What was the
1 answer:
<u>The total </u><u>labor cost</u><u> of the carpenters is $2296.91</u>
The carpenters worked
Let's convert the mixed fraction to improper fraction
So, we would have
- 63/4,
- 61/4,
- 35/2,
- 25/2
- 35/2.
Let's sum it up and multiply by the working cost per hour
- The total labor cost is = total hours worked * hourly rate.
This becomes
<u>The total labor cost is $2296.91</u>
Learn more about rate here;
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Answer:
The zeros of the function are;
x = 0 and x = 1
Step-by-step explanation:
The zeroes of the function simply imply that we find the values of x for which the corresponding value of y is 0.
We let y be 0 in the given equation;
y = x^3 - 2x^2 + x
x^3 - 2x^2 + x = 0
We factor out x since x appears in each term on the Left Hand Side;
x ( x^2 - 2x + 1) = 0
This implies that either;
x = 0 or
x^2 - 2x + 1 = 0
We can factorize the equation on the Left Hand Side by determining two numbers whose product is 1 and whose sum is -2. The two numbers by trial and error are found to be -1 and -1. We then replace the middle term by these two numbers;
x^2 -x -x +1 = 0
x(x-1) -1(x-1) = 0
(x-1)(x-1) = 0
x-1 = 0
x = 1
Therefore, the zeros of the function are;
x = 0 and x = 1
The graph of the function is as shown in the attachment below;
