Answer:
Caleb’s error was :
instead of selecting the least exponent ,Caleb took the highest exponent.
Step-by-step explanation:
3x² = 3 • x • x
(in this factorization the exponent of 3 is 1 and the exponent of x is 2)
9x = 3 • 3 • x
(in this factorization the exponent of 3 is 2 and the exponent of x is 1)
• The common factors of 3x² and 9x are 3 and x
In order to determine the GCF ,we have to Compare the exponents of the common factors then take the numbers which have the least exponent value.
• in the factorization of 3x² the exponent of 3 is 1
and in the factorization of 9x the exponent of 3 is 2
The least exponent is 1 Then we take it.
• in the factorization of 3x² the exponent of x is 2
and in the factorization of 9x the exponent of x is 1
The least exponent is 1 Then we take it.
<u><em>Conclusion</em></u>:
GCF(3x² , 9x) = 3¹ × x¹ = 3x
Answer:
10
Step-by-step explanation:
The number is 42.
Let xy be the number. x is the tens digit, y is the units digit. The ratio of the units digit to the tens digit, y/x, is 1/2. This gives us the proportion
y/x = 1/2
The tens digit is 2 more than the units digit; x = y+2; substituting in our proportion we have
y/(y+2) = 1/2
Cross multiply:
y*2 = (y+2)*1
2y = y+2
Subtract y from each side:
2y - y = y+2-y
y = 2
x = y+2
x = 2+2
x =4
xy = 42
Answer:
12
Step-by-step explanation:
24/2=12