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:
1.80 times 3.9
Step-by-step explanation:
to find the total cost of grapes, you need to multiply 1.80 and 3.9, which is $7.02.
Answer:
Step-by-step explanation:
Since 
have the same denominators, we add them first. We then add 
to the result.
Answer:
Step-by-step explanation:
Area of shaded region= area of rectangle- area of triangle
Area of rectangle= l×b
=9×3
= 27m²
Area of triangle= 
b×h
= ×3×3
=
⇒4.5
Area of shaded region= area of rectangle- area of triangle
=27-4.5
=22.5m²
