Nelson is fixing up office and must spend less than $7,500 to hire carpenters and painters. Carpenters charge $28 per hour and p
1 answer:
Answer:
A.
B.199 hours
Step-by-step explanation:
Let carpenters work for x hours and painters work for y hours.
Nelson must spend money <$7500
Carpenters charge per hour=$28
Painters charge per hour=$32
A.We have to write inequalities which represents this situation
According to question
B.If hires carpenters work for total time=40 hours
We have to find the maximum number of hours for which painters can work without exceeding the budget.
Substitute the value in above inequality equation then, we get
Subtracting 1120 on both sides
Divide by 32 on both sides then we get
Hence,painters can work for maximum 199 hours.
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Answer:
Explanation:
Here, we want to use the factor theorem to check if the given linear expression is a factor of the binomial
Now, according to the factor theorem, a factor of a polynomial would leave no remainder when divided by it
Mathematically, it means when we substitute the factor value into the polynomial, it is expected that the remainder is zero is the substituted is a factor of the polynomial
We set x-2 to zero:
Now, we substitute 2 into the polynomial as follows:
There is a remainder of -28 and thus, the linear factor is not a factor of the binomial