Use the distributive property: a (b + c) = ab + ac
(3x² + 2x - 5) (2x - 3) = 3x² (2x - 3) + 2x (2x - 3) - 5 (2x - 3)
... = (6x³ - 9x²) + (4x² - 6x) + (-10x + 15)
... = 6x³ - 5x² - 16x + 15
Answer:
The input is -6, hope this helps :D
Step-by-step explanation:
Represent the machines as expressions:
outputA= 7x-6
outputB= 3x+2
Find the input when the outputA is 3*outputB:
outputA=3outputB
(7x-6)=3(3x+2)
7x-6=9x+6
2x=-12
x=-6
If the equation 2(g - h) = b + 4 is solved for g. Then the value of g will be b/2 + h + 2.
<h3>What is the solution of the equation?</h3>
A combination of equations solution is a collection of values x, y, z, etc. that enable all of the calculations to true at the same time.
The equation is given below.
2(g - h) = b + 4
Then solve the equation for the value of g. Then we have
2(g - h) = b + 4
g - h = b/2 + 2
g = h + b/2 + 2
More about the solution of the equation link is given below.
brainly.com/question/545403
#SPJ1
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:
the area will be increased by 44%
Step-by-step explanation:
