Answer:
(7x - 8)(2x² + 3)
Step-by-step explanation:
Given
14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )
= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term
= (7x - 8)(2x² + 3)
Answer:
The weight of Paula's dog is 36 pounds.
Step-by-step explanation:
SO we would draw one box for the weight of Carla's dog. Then we would draw 3 boxes for the weight of Paula's dog.
To find how much does Paula's dog weigh we divide the total weight of the dogs by the total number of boxes.
So then you would calculate 48 divided by 4.
The weight of Carla's dog is 12 pounds.
Therefore the weight of Paula's dog is 3x12=3x10+3x2=30+6=36 pounds.
Answer:
- height: 9 chi 6 cun
- width: 2 chi 8 cun
Step-by-step explanation:
The factor-of-ten relationship between the different units means we can combine the numbers in decimal fashion. If 1 unit is 1 zhang, then 1 chi is 0.1 zhang and 1 cun is 0.01 zhang. Hence 6 chi 8 cun is 0.68 zhang.
Let x and y represent the width and height, respectively. In terms of zhang, we have ...
y - x = 0.68
x^2 +y^2 = 1^2
Substituting y = 0.68 +x into the second equation gives ...
x^2 + (x +0.68)^2 = 1
2x^2 +1.36x - 0.5376 = 0 . . . . . eliminate parentheses, subtract 1
Using the quadratic formula, we have ...
x = (-1.36 ±√(1.36^2 -4(2)(-0.5376)))/(2·2) = (-1.36 ±√6.1504)/4
x = 0.28 . . . . . the negative root is of no interest
y = 0.28 +0.68 = 0.96
In units of chi and cun, the dimensions are ...
height: 9 chi 6 cun
width: 2 chi 8 cun
Answer:
b, c, e
Step-by-step explanation:
First, just simplify the inequality.
-18 < 5x - 8 < 17
-10 < 5x < 25
-2 < x < 5
Answers that fit this inequality:
-1, 0, 3
