Answer:
N = 105/u
U = 105/n
Step-by-step explanation:
Let's solve for n.
un=(5)(21)
Step 1: Divide both sides by u.
nu/u = 105
un = 105/u
__________________________
Let's solve for u.
un=(5)(21)
Step 1: Divide both sides by n.
nu/n = 105/n
u = 105/n
988:)))))))))))))) i hope its true
Answer:
$4.49
Step-by-step explanation:
If bananas are $5.99, we need to find 75% of the price, or 25% off. There are two ways we can do this, I'll show the more detailed way. First, we multiply 5.99 by .25 to find 25% of it. We got ~1.50. This means that 25% of 5.99 is 1.50. Now, we take away 1.50 from 5.99. This gets us $4.49. That means the price of the bananas with the discount is $4.49. The other way we can do this is multiply 5.99 and .75 (because 25+75=100). This gets us 4.4925, which rounds to $4.49. I hope this helps!
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
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<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.
