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Naddika [18.5K]
3 years ago
13

BRAINLIEST TO WHOEVER HELPS IM DESPERATE PLZ :). Winston is creating a rectangular piece of 8-bit art using squares that are x p

ixels wide. The length of the rectangular piece, in pixels, is represented by the function l(x) = x + 24, and the width of the rectangular piece is represented by w(x) = x + 16.
Write the standard form of the function which describes the total area of the rectangular piece, a(x), in terms of x, the side length of each square pixel.
Mathematics
2 answers:
TiliK225 [7]3 years ago
5 0

Answer: a(x)=x^2+40x+384 For Plato

Step-by-step explanation:

Furkat [3]3 years ago
4 0

Answer:  a(x) = x^2 + 40 x + 384

Step-by-step explanation:

Since, here the length of the rectangle is represented by the function l(x) = x + 24,

While the breadth of the rectangle is represented by the function w(x) = x + 16.

And, we know that the area of the rectangle = length of the rectangle l(x) × breadth of the rectangle.

a(x) = l(x) × w(x)

a(x) = (x + 24) × (x + 16)

a(x) = x^2 + 24 x + 16 x + 24\times 16

a(x) = x^2 + 40 x + 384


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Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, w
MrRa [10]

Answer:

19.51% probability that none of them voted in the last election

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

42% of Americans voted in the previous national election.

This means that p = 0.42

Three Americans are randomly selected

This means that n = 3

What is the probability that none of them voted in the last election

This is P(X = 0).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.42)^{0}.(0.58)^{3} = 0.1951

19.51% probability that none of them voted in the last election

6 0
3 years ago
Please answer this question now in two minutes
Nataly_w [17]

Answer:

Ray WV and Ray WX.

Step-by-step explanation:

A ray is a line that has a fixed starting point, but no end points. It extends infinitely. You usually list points based on the way it is facing.

Hope this helps!

5 0
3 years ago
Read 2 more answers
Which statement best describes f(x)= -2 √x-7 +1 –6 is in the domain of f(x) but not in the range of f(x). –6 is not in the domai
Archy [21]

Answer:

B. -6 does not belong to the domain but belongs to the range of f(x).

Step-by-step explanation:

We have the function, f(x)=-2\sqrt{x-7}+1.

So, the domain of the function is obtained when x-7\geq 0 i.e. x\geq 7

That is, the domain is {x | x≥ 7}.

Now as we have,

x\geq 7 → x-7\geq 0 → \sqrt{x-7} \geq 0 → -2\sqrt{x-7} \leq 0 → -2\sqrt{x-7}+1 \leq 1.

That is, f(x)\leq 1

Thus, the range of the function f(x) is {y | y≤ 1}.

Thus, we can see that,

-6 does not belong to the domain but belongs to the range of f(x).

5 0
3 years ago
What is the probability of tossing two coins in Irvington bus land on heads?
d1i1m1o1n [39]
  • Sample space = {TT, HH, TH, HT} where T is tail and H is head.
  • Number of outcomes = 4
  • The probability of getting two heads on tossing two coins
  • =  (\frac{1}{4}  \times 100)\% \\  = 25\%

<u>Answer</u><u>:</u>

<u>D)</u><u> </u><u>2</u><u>5</u><u>%</u>

Hope you could understand.

If you have any query, feel free to ask.

6 0
2 years ago
Use the quadratic formula to solve x2 + 2x - 120 = 0. Think about what other method could also be used to solve this equation. a
pshichka [43]

Answer:

x = 10 , -12

Step-by-step explanation:

Solution:-

- The given quadratic equation is to be solved using the quadratic formula. The general form of a quadratic equation is:

                           ax^2 + bx + c =0  

Where, [ a , b and c are constants ]

- The quadratic formula is given as:

                       

                           x = \frac{-b+/-\sqrt{b^2 - 4*a*c} }{2a}

- The given equation is:

                             x^2 + 2x - 120 = 0

Where, a = 1 , b = 2 , c = -120

- Solve using quadratic formula:

                       x = \frac{-2+/-\sqrt{2^2 - 4*1*(-120)} }{2*1}\\\\x = \frac{-2+/-\sqrt{4 + 480} }{2}\\\\x = \frac{-2+/-(22) }{2}\\\\\\x = 10 , -12    

7 0
3 years ago
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