Answer:
<h2> a = 2, b = -1 </h2>
Step-by-step explanation:
p(x) = ax³ + x² - 2x + b
p(1) = a(1)³ + 1² - 2•1 + b = a + 1 - 2 + b = a + b - 1
a + b - 1 = 0 ⇒ b = 1 - a
p(-1) = a(-1)³ + (-1)² - 2(-1) + b = -a + 1 + 2 + b = - a + b + 3
- a + b + 3 = 0 ∧ b = 1 - a
- a + (1 - a) + 3 = 0
- a + 1 - a + 3 = 0
-2a + 4 = 0
-2a = -4
<u>a = 2</u>
<u>b = 1 - 2 = -1</u>
The numbers are 59 and 61
Answer:
(3 and 15)
Step-by-step explanation:
If the product of both of these two numbers needs to be a negative 45 then there are no pair of integers that comply with both requirements.
If the multiplication in the question is wrong and it is a positive 45 then the pair of integers that would comply with these requirements would be (3 and 15). Multiplying this pair together would give you 45 and the difference between them is also 12 meaning it complies with both requirements that were asked for in the question.
Answer:
Difference in cash and plan = $155 - $149.50 = $5.50
Interest Rate = 3.68%
Step-by-step explanation:
Given:A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months
A food processor by cash = $149.50
Payment plan = Down payment + $10*15 months
= $5 + $10*15
= $5 + $150
Payment plan = $155
Difference in cash and plan = $155 - $149.50 = $5.50
Now we have to find the interest rate
= (difference/original)*100
= (5.50/149.50)*100
Interest Rate = 3.68%
Answer:
9
Step-by-step explanation:
sorry if wrong