Answer:
Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70
Step-by-step explanation:
We are given
A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula
provided that 0 ≤ x ≤ 200
We are given
profit is $1610
so, we can set P=1610
and then we can solve for x
Multiply both sides by 10
now, we can factor it
we can solve for x
and we get
Since, x=230 does not lie on 0 ≤ x ≤ 200
So, we will consider only x=70
So,
Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70
Answer:R = r2 and, 2. the ratio of a circle's area to the square of that circle's radius is equal to A/R.
Step-by-step explanation:
Answer: The required polynomial of lowest degree is 
Step-by-step explanation: We are given to find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -5i.
We know that
if x = a is a zero of a real polynomial function p(x), then (x - a) is a factor of the polynomial p(x).
So, according to the given information, (x - 2) and ( x + 5i) are the factors of the given polynomial.
Also, we know that complex zeroes occur in conjugate pairs, so 5i will also be a zero of the given polynomial.
This implies that (x - 5i) is also a factor of the given polynomial.
Therefore, the polynomial of lowest degree (three) with real coefficients having zeroes of 2 and -5i is given by
Thus, the required polynomial of lowest degree is
<span> the answer is 0.66666666666 </span>
Answer: a=5+√5
b=5-√5
Step-by-step explanation:
a=?
b=?
P=20
A=20
P=a*b=20
A=a+b=20
------------------
ab=20
a+b=10
--------
a=10-b
(10-b)b=20
-b²+10b-20=0
b=-10±√100-80/-2
b=-10±√20/-2
b=-10±2√5/-2
b=-10-2√5/-2=5+√55
b=5-√5
a+b=10
a+5-√5=10
a=5+√5
a+5+√5=10
a=5-√5
