Answer:
a = -86.
Step-by-step explanation:
By the Factor Theorem, if x + 4 is a factor then P(-4) = 0, so:
P(-4) = 2(-4)^3 - 11(-4)^2 + a(-4)- 40 = 0
-128 - 176 - 4a - 40 = 0
-4a = 128 +176 + 40
-4a = 344
a = -86.
Answer:
x = 40/21
Step-by-step explanation:
This should be the right answer...
4. Let the numbers be x - 2, x, and x + 2, where x is an odd number.
2(x² - 4) - 4x = (x + 2)² + 21
2x² - 8 - 4x = x² + 4x + 4 + 21
2x² - 4x - 8 = x² + 4x + 25
x² - 8x - 33 = 0
(x - 11)(x + 3) = 0
x = 11, or -3
When x = 11, x - 2 = 9, x + 2 = 13
When x = -3, x - 2 = -5, x + 2 = -1
Explanation: You are on the right track. However, rather than having three unknown variables, try to reduce your working out to one unknown variable. Since you know they are consecutive odd numbers, you can simply let x be the middle term and the other two be + and - 2, provided x is an odd number.
That will reduce your variable issues, and helps as the first and third provide a difference of two squares, and this works out very nicely.
Q5: is essentially the same process. Let your variables be something in the form of one unknown variable, and you should be okay from there. Let me know if you're stuck.
Answer:
51 + 29+ 80
Step-by-step explanation:
she got this by adding 51 + 29
The total interest cost to Bette is $145.89
What is exact interest basis?
Exact interest means that the interest is computed on 365-day per year basis rather than a 360-day per year basis, which is the case with financial institutions.
The first task in this case is to determine the number of days from May 19, when the amount was borrowed till October 8, when loan repayment was effected.
There are 142 days between the two dates, hence, we can compute exact interest on the loan as shown by the below formula:
exact interest=loan principal*number of days the borrowing last/365days *interest rate
loan principal=$3000
number of days the borrowing last=142
interest rate=12.5%(1/2%=0.5%)
Exact interest=$3000*142/365*12.5%
Exact interest=$145.89
The amount would have been different if ordinary interest where the number of days in a year is deemed to be 360, was used instead
Find out more on exact interest on:brainly.com/question/10710550
#SPJ1
