<h2>1.</h2><h3>1)</h3>
Put the given values of p and q in the factored form equation.
... f(x) = (x -(-1))(x -(-2)) . . . . p and q values put in
... f(x) = (x +1)(x +2) . . . . . . .simplified
<h3>2)</h3>
Multiplying the factors, we have
... f(x) = x(x +2) + 1(x +2) = x² +2x +1x +2
... f(x) = x² +3x +2
<h2>2.</h2>
We want to factor x³ -x² -6x. We notice first of all that x is a factor of all terms. Thus we have
... = x(x² -x -6)
Now, we're looking for factors of -6 that add up to -1. Those are -3 and 2. Thus the factorization is ...
... = x(x -3)(x +2)
<h2>3.</h2>
We want a description of the structure and an equivalent expression for
... 64x⁹ -216
We note that 64, 216, and x⁹ are all cubes, so this expression is ...
... the difference of cubes.
It can be rewritten to
... = 8((2x³)³ -3³)
and so can be factored as
... = 8(2x³ -3)(4x⁶ +6x³ +9)
Answer:
x = 45/4
Step-by-step explanation:
2x - 3/4 + x = 2x + 3/2 + 9
- 3/4 + x = 3/2 + 9
- 3/4 + x = 21/2
x = 21/2 + 3/4
x = 45/4
500 (non smokers)÷ 25(random students out of the group)= 20 inches.
20 inches ÷ 74 inches= 3.70
Answer: 3/25
Explanation:
12% as a fraction is 12/100. 12/100 divided by 4 is 3/25.
Hope this helped <3
I can't tell the numbers apart as there are no colours so I did one answer a with them all being one digit numbers and another answer as them being 2 digit numbers...
1 digit:
5 + 4 + 3 + 3 + 2 + 2 +1 = 20
20 ÷ 7 = 2.86
2 digit:
54 + 33 + 22 + 1 = 110
110 ÷ 5 = 22