Answer:
p²q³ + pq and pq(pq² + 1)
Step-by-step explanation:
Given
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Required
Collect like terms
We start by rewriting the expression
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Collect like terms
3p²q² -3p²q² - 3p²q³ +4p²q³ + pq
Group like terms
(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq
Perform arithmetic operations on like terms
(0) - (-p²q³) + pq
- (-p²q³) + pq
Open bracket
p²q³ + pq
The answer can be further simplified
Factorize p²q³ + pq
pq(pq² + 1)
Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)
1) x³ + 2x² - x - 2 2) 2x³ + 5x² - 8x - 20 = 0
x²(x + 2) - (x + 2) x²(2x + 5) - 4(2x + 5) = 0
(x + 2)(x² - 1) (2x + 5)(x² - 4) = 0
(x + 2)(x - 1)(x + 1) x = -5/2, +-2
x = -2, 1, -1 << a is the answer.
hope that helps, God bless!
Answer: (0,1), (1,0)
Step-by-step explanation:
plug in a number for y.
ex) x=0 y=1
y=-x + 1
1= -0 + 1
1=0 + 1
1)
C ≈ 3.14 • 9
C ≈ 28.26
The circumference is 28.3 cm to the nearest tenth of a centimeter
2)
C ≈ 3.14 (2 • 13)
C ≈ 3.14 • 26
C ≈ 81.64
The circumference is 81.6 in to the nearest tenth of a inch
3)
C = 3.14 (13)
C = 40.82
C = 40.8
4)
C = 3.14 (2 • 5)
C = 3.14 (10)
C = 31.4
5)
C = 3.14 (2 • 1.5)
C = 3.14(3)
C = 9.42
C = 9.4
Answer:
25
Step-by-step explanation:
Given the model:
y=−3.5x+400
Number of children in amusement park = y
Temperature = x
On a certain day:
Temperature = 90°F
Number of children in park = 60
Using the model :
The predicted number of children in park when temperature is 90°F would be :
y = - 3.5(90) + 400
y = - 315 + 400
y = 85
Model prediction = 85 children
Actual figure = 60
Residual :
|Actual - predicted | = |60 - 85| = 25 children
