Answer: 7(x+2)(x+3)
Step-by-step explanation:
First, you want to find the GCF, 7 goes into all the terms evenly
so 7x^2 + 35x + 42 = 7(x^2 + 5 + 6)
to factor (x^2+5+6), you want to find two numbers whose product is 6 and whose sum is 5 (2 and 3)
so (x^2 + 5 + 6) becomes (x+2)(x+3)
and 7(x^2 + 5 + 6) becomes 7(x+2)(x+3)
Combine like terms so combine -2x and x which gives you x=143
Answer:
32+q=x
Step-by-step explanation:
32(jakes) + q (molly) = x(total)
Answer:D.27
They already won 12 games (80% of 15%) and need or win 15 more.
Check: 15+12 =27 =90%
30 30
Answer: an = 9n + 23
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as
an = a1 + (n - 1)d
Where
a1 represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 32
d = 9
Therefore, the equation or rule for the given arithmetic sequence would be
an = 32 + (n - 1)9
Expanding the brackets, it becomes
an = 32 + 9n - 9
an = 9n + 32 - 9
an = 9n + 23
