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4 years ago

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n^2-4n/3

Mathematics

1 answer:

ololo11 [35]4 years ago

7 0

Answer:

(n- 2/3)²

Step-by-step explanation:

Perfect square trinomial is: a²+2ab+b²= (a+b)²

We have:

n² - 4n/3

It can be put as:

n² -2×n×2/3

Here we consider n = a and -2/3 = b, then

b²= (-2/3)²= 4/9

Now we add 4/9 to a given binomial to make it perfect square:

n² - 2×n×3/2 + 4/9= (n- 2/3)²

So, added 4/9 and got a perfect square (n- 2/3)²

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2. A package of paper towels contains 3 rolls. Each package of paper towels costs $2.79. A function, f(x), is written to represe

kolbaska11 [484]

Answer:

Step-by-step explanation:

Let x be the number of packages of paper towels.

Each package of paper towels costs $2.79.

Then x packages of paper towels cost $2.79x.

Hence, a function f(x) is

$f(x)=2.79x$

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3 years ago

-0.2 as a decimal mixed number or a fraction

Svetlanka [38]

Answer:

It is a mixed number because a fraction would be like 4/9.

Step-by-step explanation:

How you remember is that a decimal is in a place that makes it a mixed number,

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3 years ago

Tony’s Pizzeria customers were asked what kind of pizza topping they prefer. Tony learned that 20 customers selected pepperoni,

tigry1 [53]

Answer:

think one

Step-by-step explanation:

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3 years ago

Find the distance CD rounded to the nearest tenth C=(10,-1) and D=(-6,3)

Fynjy0 [20]

Answer:

CD = 16.5

Step-by-step explanation:

To find the distance between two points, use this formula: $L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }$

point C can be info set 1: (10, -1) x₁ = 10 y₁ = -1

point D can be info set 2: (-6, 3) x₂ = -6 y₂ = 3

Substitute the information into the formula

$L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }$

$CD = \sqrt{(-6 -10)^{2}+(3 -(-1))^{2} }$ Simplify inside each bracket

$CD = \sqrt{(-16)^{2}+(4)^{2} }$ Square the numbers

$CD = \sqrt{256+16 }$ Add inside the root

$CD = \sqrt{272}$ Enter into calculator

$CD = 16.5$ Rounded to the nearest tenth, the first decimal

The distance CD is 16.5.

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4 years ago

Suppose you have a coupon for a 20% discount. You buy a game that costs $38. The sales tax rate is 5.5%. Sales tax applies to th

Soloha48 [4]

$32.072 ≈ $32.07
20% of $38 is equal to $7.60
$38 - $7.60 = $30.40
5.5% of $30.40 = 1.672
$30.40 + $1.672 = $32.072

5 0

4 years ago