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).
Since there is a negative correlation, evident by the negative slope of the equation of the line given to be -0.5, if we take t as 0, we get an equation of,
s = 3.6
This means that if a student does not watch television, he or she spends a maximum of 3.6 hours studying.
The weight of a shipment of 2560 balls weighs 320 pounds.
<h3>
How much would a shipment of 2560 tennis balls weigh?</h3>
We know that 24 tennis balls weigh 3 pounds. Then the weight of a single tennis ball is:
W = (3 lb)/(24 balls) = (1/8) pounds per ball.
To get the weight of 2560 tennis balls, we just need to multiply the number of tennis balls by the weight of a single ball, then we get:
Total weight = 2560*(1/8) pounds per ball = 320 pounds.
The weight of a shipment of 2560 balls weighs 320 pounds.
If you want to learn more about weight:
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Answer:
1. 3
2. 2
3. 2
4. 6
5. No solution
Step-by-step explanation:
2x+3y=8 (1)
-6x+4y=11 (2)
3(1) + (2)
6x + 9y = 24
-6x + 4y = 11
13y = 35
y = 35/13
x = -1/26
3x-y=3 (1)
-2x+2y=6 (2)
2(1) + (2)
6x - 2y = 6
-2x + 2y = 6
4x = 12
x = 3
y = 3(3) - 3 = 6
3x+4y=-10 (1)
5x-2y=18 (2)
(1) + 2(2)
3x + 4y = -10
10x - 4y = 36
13x = 26
x = 2
5x-2y=3 (1)
2x-y=0 (2)
(1) - 2(2)
5x - 2y = 3
-4x + 2y = 0
x = 3
2(3) - y = 0
y = 6
3x+2y=10 (1)
6x+4y=14 (2)
2(1) - (2)
6x + 4y = 20
6x + 4y = 14
0 = 6 is a false statement so no solution
Step-by-step explanation: The 9 in 857.9 differs from the value of 9 in 798.21 because in 857.9, the 9 is in the tenths place, while in 798.21, it is in the tens place.
