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In-s [12.5K]
3 years ago
9

Complete the square for the expression, then factor the trinomial.

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0

Answer:

Completing the square we get: (x-2)^2-(2)^2

and factoring the term we get: x(x-4)

Step-by-step explanation:

We need to complete the square for the expression x^2-4x

For completing the square the expression would be of form a^2+2ab+b^2=(a+b)^2

For given expression we have to add (2)^2 and subtract to make it complete the square.

x^2-2(x)(2)+(2)^2-(2)^2\\(x-2)^2-(2)^2

Now, we have to factor the polynomial using formula (a)^2-(b)^2=(a-b)(a+b)

So, (x-2)^2-(2)^2\\=(x-2-2)(x-2+2)\\=(x-4)(x-0)\\=x(x-4)

Completing the square we get: (x-2)^2-(2)^2

and factoring the term we get: x(x-4)

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What number is 25% of 400 please show work thank you
ANEK [815]

Answer:

100

Step-by-step explanation:

well, you can just use a calculator, or your mind if that's possible, to solve this.

at least, what i think you're asking.

400 × 0.25 = 100.

this one is extra easy because you should know that 25% is a quarter, and 400 can just be divided by 4 to get your answer.

6 0
2 years ago
The Taylors have recorded their weekly grocery expenses for the past 12 weeks and determined that the mean weekly expense was ​$
SVETLANKA909090 [29]

Answer:

$84.80

Step-by-step explanation:

find the difference between accurate price and written price: 74 - 47 = 27

find written total (before Mrs. Taylor found mistake) by undoing the mean calculation: 82.55 x 12 = $990.60

the total expenses is $27 more than what they thought: 990.60 + 27 = 1017.60

divide accurate total by 12 to find mean: 1017.60 / 12 = $84.80

hope this helps :)

4 0
3 years ago
How does place value help me divide?
Andreyy89
It shows the division ways by doing / 
3 0
3 years ago
3. Triangle JKL is shown below. Which of the following is not a true statement about
alina1380 [7]

Option A is true because the sum of angles in a triangle is 180, so we can rule that one out immediately.

We can solve for x for the other 3 options by setting up this equation:

7x+2 + 4x+7 + 8x = 180 | Simplify

19x + 9 = 180 | Subtract 9

19x = 171 | Divide by 19
x=9

Now we can substitute x into all the values:
<J = 7x+2 = 65
<L = 4x+7 = 43
<K = 8x = 72


Looking at the options again, we can see that A, B, and D are true, leaving C to be false.

4 0
2 years ago
If everything in a store is 20% off, and the discounted price of an item is $18.00, what is
jasenka [17]

The regular price is $22.5 if everything in a store is 20% off, and the discounted price of an item is $18.00

<h3>What is the percentage?</h3>

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

If everything in a store is 20% off, and the discounted price of an item is $18.00

Let's suppose the regular price is x

(100-20)% of x = 18

80x/100 = 18

x = $22.5

Thus, the regular price is $22.5 if everything in a store is 20% off, and the discounted price of an item is $18.00

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ1

6 0
2 years ago
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