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3 years ago

What is 49.6 expressed as a decimal

Mathematics

2 answers:

Ymorist [56]3 years ago

7 0

49.6 expressed as a decimal would just be 49.6.

lara31 [8.8K]3 years ago

5 0

Yes they are correct

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What are the correct answers and why? Simple and concise explanation please!!!

dezoksy [38]

Answer:

$\large\boxed{-\bigg[(x-3)^2+2x\bigg]+1}\\\\\boxed{-x^2+4x-8}$

Step-by-step explanation:

$(g\ \circ\ f)(x)=g\bigg(f(x)\bigg)$

$f(x)=(x-3)^2+2x\\\\g(x)=-x+1\\\\g\ \circ\ f\to\text{put f(x) instead of x in the function g(x)}:\\\\(g\ \circ\ f)(x)=-\bigg[\underbrace{(x-3)^2+2x}_{x}\bigg]+1$

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$-\bigg[(x-3)^2+2x\bigg]+1=-(x-3)^2-2x+1\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=-(x^2-(2)(x)(3)+3^2)-2x+1=-(x^2-6x+9)-2x+1\\\\=-x^2-(-6x)-9-2x+1=-x^2+6x-9-2x+1\\\\\text{combine like terms}\\\\=-x^2+(6x-2x)+(-9+1)=-x^2+4x-8$

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$-x^2+4x-8=-x^2+4x-2^2+2^2-8=-(x^2-4x+2^2)+4-8\\\\=-(\underbrace{x^2-(2)(x)(2)+2^2}_{(a-b)^2=a^2-2ab+b^2})-4=-(x-2)^2-4=-(x+1-3)^2-4$

$In\ (-x+1-3)^2+2x,\ x^2\ will\ be\ positive.\\In\ (-x+1-3)^2+2(-x+1),\ x^2\ will\ be\ positive.$

6 0

3 years ago

Read 2 more answers

On a recent test, Ahmed knew many of the answers, but there were four questions he was unsure of. In each of the four questions,

Vinil7 [7]

Answer:

It is impossible to simulate this with a random number generator without knowing what the correct answer choices were

Step-by-step explanation:

Given

$Questions = 4$

$Options = 5$

Required

How can he select the right answer

Using randint will only generate a random number which could or could not be the answer to the question.

This is so because each of the 5 options for the question has the same probability of 1/5. So, using randint will only generate a random number. This generated random number has 1/5 chance of being the answer and 4/5 of not being the answer to the question.

In a nutshell, he can not make use of a simulator to select the answer to the questions in this scenario, unless he knows the solution.

<em>Hence (a) answers the question.</em>

3 0

3 years ago

After a 75% reduction, you purchase a new clothes dryer for $200. What was the original price of the clothes dryer?

lesya [120]

Answer:

$800

Step-by-step explanation:

Let the original price be $x.

75% reduction ----- 100% -75%= 25%

25%x= 200

$\frac{25}{100} x = 200 \\ x = 200 \div \frac{25}{100} \\ x = 200 \times \frac{100}{25} \\ x = 800$

Thus, the original price of the clothes dryer is $800.

3 0

3 years ago

Read 2 more answers

A person wants to grow potatoes in his backyard. His backyard plot is 60ft by 60 ft and he can plant 2 potatoes for every square

Fantom [35]

Answer:

1800 potatoes

Step-by-step explanation:

60ft x 60ft = 3600 square feet

3600/2=1800

8 0

3 years ago

An executive committee consists of 15 members: 7 men & 8 women. 5 members are selected at random to attend a meeting in Hawa

asambeis [7]

Answer:

1.8%

Step-by-step explanation:

(8c5 * 7c0)/15c5

= 0.018

This is the answer which I get when I solve this... cross check the calculations once.

3 0

3 years ago