<u>EXPLANATION</u>
The reason is that
If we multiply 
by its conjugate 
We obtain;
This is difference of two squares so we obtain;
This further gives us,
Since the , we substite to get;
The 
is now eliminated and we get,
<span>Chaneece chooses x as the larger number and uses the inequalities y ≤ 40 – x and y ≤ x – 20 to determine the possible solutions.
</span>y ≤ 40 – x, if x must be between 0 and 10, y must be between 20 and 40 <span>it is true
proof
</span><span>for x=0 and y=10, y ≤ 40 – x equivalent to 10<40-0=40 it is true
</span>x=10, y=30, <span>y ≤ 40 – x equivalent to 30=40-10=30 it is true
the answer is </span><span>A) Yes, Chaneece found the correct solution. </span>
(1) x represents the number of apples bought, y represents the number of bananas.
(2) each term represents the total costs of a given fruit, so 0.50x is the total cost of apples and 0.30y is total cost of bananas.
(3) The coefficients are unit prices: coefficient 0.50 is the price of 1 apple, 0.30 is the price of 1 banana.
Answer:
The company has to produce more than 92 guitars and sell them for making a profit.
Step-by-step explanation:
These are the cost and revenue functions, where x represents the number of guitars to be manufactured and sold: R(x) = 120x, and C(x) = 100x + 1840.
Therefore, the condition for no loss-no gain for manufacturing x number of guitars is
R(x) = C(x)
⇒ 120x = 100x + 1840
⇒ 20x = 1840
⇒ x = 92
Therefore, the company has to produce more than 92 guitars and sell them for making a profit. (Answer)
Answer:
Probability cured of cervical cancer = 18C0 (0.30)⁰(0.70)¹⁸ + 18C1(0.30)(0.70)¹⁷
Step-by-step explanation:
Given:
Patients cured = 30% = 0.30
Number of patients (n) = 18
Probability cured of cervical cancer = P(X≤1)
Probability cured of cervical cancer = P(X=0) + P(X=1)
Probability cured of cervical cancer = 18C0 (0.30)⁰(0.70)¹⁸ + 18C1(0.30)(0.70)¹⁷
