Answer:
(x - 4)(2x + 7)
Step-by-step explanation:
Given
2x(x - 4) + 7(x - 4) ← factor out (x - 4) from each term
= (x - 4)(2x + 7)
Answer:
x ≤ - 2
Step-by-step explanation:
Given the inequality :
3x+5≤−1
Subtract 5 from both sides
3x + 5 - 5 ≤ - 1 - 5
3x ≤ - 6
Divide both sides by 3
3x/3 ≤ - 6/3
x ≤ - 2
Mr.Choe's error was that he changed the inequality sign. The inequality sign in this case does not need to be changed.
Answer:
Exact form: - 257/106
decimal form: -2.42452830
Mixed Number Form: -2 45/106
Step-by-step explanation:
Reduce the expression if possible by cancelling the common factors
Answer:
Option D.
Step-by-step explanation:
The given expression is
We need to find the expression, which is equivalent to the given expression.
The given expression can be rewritten as
![[\because (ab)^m=a^mb^m]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28ab%29%5Em%3Da%5Emb%5Em%5D)
![[\because \dfrac{a^m}{a^n}=a^{m-n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5D)
Therefore, the correct option is D.
Answer:
The length of the other side is 7.65m
Step-by-step explanation:
Maria's mistake was that she wanted to move the decimal point 2 places to the left, when she should have moved it 1 place, since that is the number of zeros that the number 10 has.
To find the length of the rectangle, we simply divide the area by the width
a = area = 76.5 m
w = width = 10m
l = length
l = a/w
l = 76.5m² / 10m
l = 7.65m
The length of the other side is 7.65m
