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damaskus [11]
3 years ago
15

The problem is in the picture :)

Mathematics
1 answer:
frozen [14]3 years ago
8 0

Answer:

Last option: 4

Step-by-step explanation:

The quadratic equation simplified: x^2-4x=-\frac{7}{2} has the form:

ax^2+bx=c

In this case, you can identify that "a", "b" and "c" are:

a=1\\b=-4\\c=-\frac{7}{2}

To solve this quadratic equation  by completing the square, Carlos should add (\frac{b}{2})^2 to both sides of the equation. This is:

(\frac{-4}{2})^2=(-2)^2=4

Then:

x^2-4x+4=-\frac{7}{2}+4

Therefore you can observe that the number he should add to both sides of the equation is: 4

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How many 4 digit numbers consisting of only the digits 2,4,6 and 8 are divisible by 4
Blababa [14]

Answer:

  • digits used once: 12
  • repeated digits: 128

Step-by-step explanation:

In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:

  • the ones digit is an even multiple of 2, and the tens digit is even
  • the ones digit is an odd multiple of 2, and the tens digit is odd.

We must count the ways these conditions can be met with the given digits.

__

Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.

<h3>digits used once</h3>

If the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.

<h3>repeated digits</h3>

Each of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.

7 0
2 years ago
Read 2 more answers
Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it.
klasskru [66]

Answer:

Step-by-step explanation:

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6 0
3 years ago
An object is moved at a constant speed of 20m/s for 4s
konstantin123 [22]

Answer:

80 m is distance traveled

Step-by-step explanation:

if object moves at 20m/s, then in 4 seconds the expression 20 x 4 is used to get 80. 80 m traveled

3 0
2 years ago
You noticed that $750 was stolen from your checking account using your debit card, but life being as busy as it is, you didn't r
Mekhanik [1.2K]

Answer:

The answer is: full liability for unauthorized debit charges

Explanation:

Once you discover that an amount of money was stolen from your debit card account, it is important to report it immediately to the card issuer. This will prevent "liability for unauthorized debit charges on your end." Each type of card that you avail has a set of rules when it comes to the <em>card owner's duties and liabilities. </em>

You have to tell your card issuer, either by<em> writing or by phone.</em> This should be done within 60 days from the time you encountered the issue. This will allow you to dispute any unauthorized charges. However, the sooner you report, the better it will be so you won't incur any liabilities.

So, in the case above, you didn't report the fraudulent activity until 75 days. This gives you a <u>"full liability for unauthorized debit charges."</u>

Thus, this explains the answer.

3 0
3 years ago
Tyler and Bethany have a 240 feet of fencing with which to build a garden Tyler wants the garden to be in the shape of a square
Andrej [43]
If the garden were in the shape of a square, all of its sides would be of equal length. so if you divide 240 by 4 sides, each one would be 60 feet. Then, to find the square garden's area, you multiply 60 x 60 = 360 feet².

If the garden was 50 by 70, you would multiply the two values together to find the area, which is 350 feet².

Because 360 > 350 , Tyler's design would yield the maximum area for a garden
Hope this helps :)
4 0
3 years ago
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