Answer:
Talia needs to factor -1 out of one of the two binomials
Step-by-step explanation:
She could take:
3x(5x - 1) + 4(-5x + 1)
and rewrite it as:
3x(5x - 1) - 4(5x - 1)
= (3x - 4)(5x - 1)
Answer:
A(13,-5)
B(10,-4)
C(4,-9)
Step-by-step explanation:
Translation of 8 units right >>> affects the "x" coordinate. Add 8 to each x coordinate.
Translation of 5 units down >>> affects the "y" coordinate. Subtract 5 from each y coordinate.
The coordinates are:
A (5,0)
B (2,1)
C (-4,-4)
New coordinates would be:
A (5+8,0-5)
B(2+8,1-5)
C(-4+8,-4-5)
Hence,
A(13,-5)
B(10,-4)
C(4,-9)
These are the new coordinates after the translation given.
Answer:
≈101
Step-by-step explanation:
Let x and y represent the number of robberies in last year and this year respectively.
Given;
x = 147
This year the number of robberies has gone down 31%.
So;
y = x - 31% of x
y = x - 0.31x
y = 0.69x
Substituting the value;
y = 0.69 × 147
y = 101.43
y ≈ 101. (to the nearest whole number)
The number of robberies this year = 101
Answer:
"24 pounds" is the appropriate answer.
Step-by-step explanation:
According to the question, the equation will be:
⇒ 
...(equation 1)
or,
⇒ 
...(equation 2)
Now,
By multiplying (equation 1) by 55 and (equation 2) by 1, we get
⇒ 
...(equation 3)
⇒ ...(equation 4)
From equation 3 and 4, we get
⇒ 
By putting the values of "y" in equation 1, we get
⇒ 
Thus the value of x be "24 pounds".
