Answer:
Step-by-step explanation:
Answer:
2.44
Step-by-step explanation:
Given: x³ + 2x² - 5ax - 7 and x³ + ax² - 12x + 6
Also, R1 + R2 = 6
in order to find the value of a:
Let p(x) = x³ + 2x² - 5ax - 7 and q(x) = x³ + ax² - 12x + 6
Using remainder theorem i.e if a polynomial p(x) is divisible by polynomial of form x - a then remainder is given by p(a).
Then,
R1 = p( -1 ) = (-1)³ + 2(-1)² - 5a(-1) - 7 = -1 + 2 + 5a - 7 = 5a - 6
R2 = q( 2 ) = 2³ + a(2)² - 12(2) + 6 = 8 + 4a - 24 + 6 = 4a - 10
Now,
R1 + R2 = 6
5a - 6 + 4a - 10 = 6
9a = 22
a=2.44
Therefore, Value of a is 2.44
Answer:
Maria
Step-by-step explanation:
Find the ratio of powdered mix to water for each drink.
For Maria:
(2/3 cup) / (2 gallon)
= 1/3 cup per gallon
For Franco:
(1 1/4 cup) / (5 gallon)
= (5/4 cup) / (5 gallon)
= 1/4 cup per gallon
Since 1/3 is bigger than 1/4, Maria's sports drink is stronger.
Principal: $49,000
Depreciation Rate: 50%
Depreciation Time: 5 years
Exponential Function: y = 49,000 (0.50)^x
Plug it in: y = 49,000 (0.50)^4
0.5^4= 0.0625
0.0625 x 49,000 = 3062.5
Value of Car after 20 years: 3062.5
Now, we need to find out how much the car decreases in ONE year.
Half of 3062.5 = 1531.25
1531.25/5 = 306.25
3062.5 - 306.25 = 2756.25
Value of car after 21 years: $2756 ---> 2800 (nearest hundred dollars my bad)
Hope this helps! Have a great day!
