The <em><u>correct answer</u></em> is:
7ab³
Explanation:
The greatest common factor is the largest thing that each term is divisible by.
The coefficients of our terms are 42, 35 and 42. Using the prime factorization for each,
42 = 6*7
6 = 2*3
42 = 2*3*7
35 = 5*7
The greatest common factor is 7.
For the variables, each term has at least a¹ and at least b³. This means that ab³ is part of the GCF; this gives us a GCF of 7ab³.
Answer:
Step-by-step explanation:
If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.
If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes
y = k/x
When y = 0.25, x = 8
Substituting into the expression above, it becomes
0.25 = k/8
k = 0.25 × 8
k = 2
The inverse variation function is
y = 2/x
Answer:
Step 2, he didn't add the values he completed the square with to both sides.
Step-by-step explanation:
When you complete the square, you need to add the values to both sides, not just one.
So when Homer added 49 + 1 or 50 to the left side of the equation, he should've also added 50 to the right side of the equation.
Hence, the equation would now be :
(x-7)^2 + (y+1)^2 = 75
