Answer:
Below.
Step-by-step explanation:
f) (a + b)^3 - 4(a + b)^2
The (a+ b)^2 can be taken out to give:
= (a + b)^2(a + b - 4)
= (a + b)(a + b)(a + b - 4).
g) 3x(x - y) - 6(-x + y)
= 3x( x - y) + 6(x - y)
= (3x + 6)(x - y)
= 3(x + 2)(x - y).
h) (6a - 5b)(c - d) + (3a + 4b)(d - c)
= (6a - 5b)(c - d) + (-3a - 4b)(c - d)
= -(c - d)(6a - 5b)(3a + 4b).
i) -3d(-9a - 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b).
= (3d + 2c)(9a + 2b).
j) a^2b^3(2a + 1) - 6ab^2(-1 - 2a)
= a^2b^3(2a + 1) + 6ab^2(2a + 1)
= (2a + 1)( a^2b^3 + 6ab^2)
The GCF of a^2b^3 and 6ab^2 is ab^2, so we have:
(2a + 1)ab^2(ab + 6)
= ab^2(ab + 6)(2a + 1).
784/ 93 = 8.43010752688
93 * <span>8.43010752688 = 784</span>
Answer:
$2072
Step-by-step explanation:
Note that:
1 year = 12 months
Hence:
1 year = 12 months
3 years = x months
Cross Multiply
x = 3 × 12
x = 36 months
She makes a down payment of $200 and monthly payments of $52 each for three years.
Her total cost is represented by the expression
= $200 + $52 × m
Where m = number of monthly payments.
$200 + $52 × 36
= $200 + $1872
= $ 2072
Answer:
y = 11x - 18
Step-by-step explanation:
Use the equation y = mx + b
m (the slope) = 11
x (the x-coordinate) = 2
y (the y-coordinate) = 4
Plug it in for our original equation:
4 = 11*2 + b
4 = 22 + b
4 - 22 = b
b = -18
Therefore, the answer is y = 11x - 18. The tricks to these problems are usually in the same format, when you are given the slope and a point it passes through, just plug in the slope and the x and y, and solve for b. Hope this helps!
