(x+6)(x+2)
Simplifying
(x + 6)(x + 2)
Reorder the terms:
(6 + x)(x + 2)
Reorder the terms:
(6 + x)(2 + x)
Multiply (6 + x) * (2 + x)
(6(2 + x) + x(2 + x))
((2 * 6 + x * 6) + x(2 + x))
((12 + 6x) + x(2 + x))
(12 + 6x + (2 * x + x * x))
(12 + 6x + (2x + x2))
Combine like terms: 6x + 2x = 8x
(12 + 8x + x2)
We just have to group the like terms together. So there are 4 nines and 2 sevens.
That would make it; 9^4 x 7^2
9 to the power of 4 multiplied by 7 to the power of 2(the second power).
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Answer:
0≥6y
Step-by-step explanation:
y-5(y+1)≥2y-5
y-5y-5≥2y-5
-4y≥2y
0≥6y
Answer:
|-49| < |-52|
Step-by-step explanation:
|-49| = 49
|-52| = 52
49 < 52
--> |-49| < |-52|
Answers:
- C) Factored form
- C) Standard form
- D) The y intercept is -8
- B) Two solutions: x = -5 or x = 5
- B) Apply square root to both sides
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Explanations:
- For problems 1 and 2, there's not much to say other than you'll just have to memorize those terms. Standard form is ax^2+bx+c in general. The exponents count down 2,1,0. Factored form is where we have two or more factors multiplying with each other. Think of something like 21 = 7*3 showing that 7 and 3 are factors of 21.
- For problem 3, the y intercept is the last value. It's the constant value. Plug in x = 0 and you'll get y = -8 as a result. The y intercept always occurs when x = 0.
- In problem 4, we apply the square root to both sides to get x = -5 or x = 5. The plus or minus is needed. This is because (-5)^2 = 25.
- In problem 5, we apply the square root to both sides to undo the squaring operation.