Answer:
- 5(x +1.5)^2
- 10(x +1)^2
- 1/4(x +2)^2
- 3(x +5/6)^2
Step-by-step explanation:
When your desired form is expanded, it becomes ...
a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2
This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.
a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2
b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2
c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2
d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2
_____
<em>Additional comment</em>
If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.
Answer:
10
Step-by-step explanation:
If we plug in any negative number as x, the result will always be greater than 4, which rules out answers A and B
lets try plugging in 4 as x to test answer C:
2(8-4)
2(4)= 8
8 is greater than 4, therefore C is wrong.
Lets try 10 as X (answer D):
2(8-10)
2(-2)
-4
We know that -4 is less than 4, therefore it makes the inequality true! :)
Answer:
D.
Step-by-step explanation:
329/8=41.125 you divide by 8 because its equivalent to 8 smaller units.
Then: 41.125 x 724=approx. 30,000
I'm still doing the rest but number 1 is D
Answer:
I think its k so try that but if it douse not worckd the try b