Answer:
B. 6x - 12y + 10x
Step-by-step explanation:
A: expression equals 10x - 12y, doesn't equal step 2
B: expression equals 16x - 12y, is the same as step 2
C: expression equals 16x - 30y, doesn't equal step 2
D: expression equals 25x - 30y, doesn't equal step 2
Answer:
C
Step-by-step explanation:
Both segments AC and BC intersect at point C. Hence, the angle included by them will be angle C.
Answer + Explanation + Theory
When a number is divided by a number it results in a quotient and a remainder
E.g. 9 / 4 = 2 remainder 1
9 is the dividend
4 is the divisor
2 is the quotient
1 is the remainder
Same way when a polynomial is divided by a linear expression
E.g.
Ax^2 + bx + c / (x-b) = (x+a) + r
Which can be rearranged to
ax^2 + bx + c = (x+a)(x-b) + r
When x = - a or b, only the remainder is left since either (x+a)(x-b) is 0.
If x = - a or b is substituted into the polynomial and the value is 0 then there is no remainder,
This would suggest (x+a) or (x-b) are factors of the polynomial.
Now apply this logic to these questions
1. Let’s assume (x-4) is a factor, this would mean that when x=4 is substituted into the polynomial the answer would be 0.
This is the case, therefore the remainder is 0.
2. Having seen the logic above (applied using the remainder and factor theorem) the linear expression is a factor of the polynomial.
Answer:
405,376
Step-by-step explanation:
the question is worded weirdly.
Its saying 37,700 copies were sold in one month and then that amount is 9.3% of books sold to date. So, its saying that 37,700 is only 9.3% out of 100%. To get the hundred i devided 37,700 into 9.3 to see how much 1% is. then i multiplied that by 100
