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3 years ago

Need anyone’s help with this APEX question! Much appreciated!

Mathematics

2 answers:

VMariaS [17]3 years ago

7 0

<u>Answer:</u>

The correct answer option is D. (x - 7) + 2.

<u>Step-by-step explanation:</u>

We are to determine whether which of the given options best describe the English expression:

<em>'two more than the quantity of a number minus seven'</em>

We can break this expression into smaller chunks to make it easier to translate.

1. two more than ---> +2

2. the quantity of a number ---> suppose the number to be 'x'

3. number minus 7 ---> (x - 7)

Combining these, we get (x - 7) + 2 so the correct answer option is D.

Roman55 [17]3 years ago

3 0

<h2>Answer:</h2>

<u>The correct option is </u><u>(D) x-7 + 2</u>

<h2>Step-by-step explanation:</h2>

let the quantity be x

Quantity minus 7 can be written as

x-7

Now

2 more means adding 2

So the final expression can be written as

(x-7) + 2

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Need help with this <br>

defon

Let n be the larger integer and n-2 be the smaller integer.

n² - (n - 2)²

= n² - (n - 2)(n - 2)

= n² - (n² - 4n - 4)

= n² - n² + 4n + 4

= 4n + 4

= 4(n + 1)

No matter what value n is, it will always be a multiple of 4.

4 0

2 years ago

Function g can be thought of as a translation (shifted) version of f(x)=x^2

dimaraw [331]

Answer:

(x+5)²

Step-by-step explanation:

To solve this we just need to shift the graph 5 spots to the left

to do this we need to add 5 to the x

(x+5)²

5 0

3 years ago

Determine the intervals on which the function is increasing, decreasing and constant

viva [34]

Answer:

increasing: (-∞, 0)
decreasing: (0, ∞)

Step-by-step explanation:

The function goes up to the right until it gets to the vertex at x=0. Then it goes down to the right. That is, it is ...

increasing from -∞ to 0 (not including 0)

decreasing from 0 to +∞ (not including 0)

_____

At x=0, the function is neither increasing nor decreasing, so x=0 is not part of either interval.

6 0

3 years ago

Lucy offers to play the following game with Charlie: "Let us show dimes to each other, each choosing either heads or tails. If w

Darya [45]

Answer:

(a)Charlie is right

(b)$0

Step-by-step explanation:

(a)A game is said to be a fair game when the probability of winning is equal to the probability of losing. Mathematically, a game is said to be fair when the expected value is zero.

In the game, the possible outcomes are: HH, HT, TH and TT.

Charlie wins when the outcome is HH, TT

P(Charlie Wins)=2/4
P(Charlie Losses)=2/4

Lucy wins when the outcome is HT or TH

P(Lucy Wins)=2/4
P(Lucy Losses)=2/4

Therefore, the game is fair. Charlie is right.

(b)

If the outcome is HH, Lucy pays $3.

If the outcome is HT or TH, Lucy gets $2.

If the outcome is TT, Lucy pays $1.

The probability distribution of Lucy's profit is given below:

$\left|\begin{array}{c|c|c|c}$Profit(x)&-\$3&-\$1&\$2\\P(x)&1/4&1/4&2/4\end{array}\right|$

Expected Profit

$=(-3 \times \frac14)+(-1\times \frac14)+(2 \times \frac24)\\=$0$

Lucy's expected profit from the game is $0.

7 0

3 years ago

What is 83 squared? Plz help

andrew11 [14]

The answer is 6,889. Squared just means the number times itself. In this case, it's 83 x 83. :)

6 0

2 years ago