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:
k = 4
Step-by-step explanation:
3k - 2 = 10
3k - 2 + 2 = 10 + 2 (adding 2 to both sides)
3k = 12
3k/3 = 12/3 (dividing both sides by 3)
k = 4
Happy to help :)
Answer:
y = 0.75x + 1
Step-by-step explanation:
Here, we want to write an equation in slope-intercept form to represent this information
Since $1 is the cost of 1 only, this represents our y intercept
It means if we are not interested in purchasing more than 1, our cost will be $1
Now, for each one bought after, we have a rate of $0.75 per one
Mathematically, that will be $0.75 times the number bought after
Hence. we have that;
y = 0.75x + 1
if 1, x = 0; so we have cost of 1 as $1
