MATHEMATICS HIGH SCHOOL

Work out 2.64x10^x4.12x10^-3/1.6x10^-2

Answers

Answer 1
Answer:

Answer: Answer;-

0.006798x3⋅10−2+x

Step-by-step explanation:

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A rectangle has an area of 4x2 +19x + 12 and a length of (x + 4). What is the width?

Answers

The width of the rectangle with an area x² = 19x + 12 is (4x + 3).

What are the area and perimeter of a rectangle?

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

We know the area of a rectangle is (length×widh).

Given, A rectangle has an area of 4x² + 19x + 12 and a length of (x + 4).

∴ width of the rectangle is = (4x² + 19x + 12)/(x + 4).

Or, we know that the product of two linear equations is a quadratic so,

4x² + 19x + 12.

4x² + 16x + 3x + 12.

4x(x + 4) + 3(x + 4).

(x + 4)(4x + 3).

So, the width of the rectangle is (4x + 3).

learn more about quadratic equations here :

brainly.com/question/17177510

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The answer is (4x + 3) (x + 4)

2 less than 4 times a number is -18

Answers

Step-by-step explanation:

4x -2 = -18

to solve for x

4x = -16

x = -4

Find (f-g)(x). What is the domain of f/g
f(x)=2x-5 g(x)=2-x

Answers


f(x)=2x-5 , \ \ \ \ g(x)=2-x \n\n(f-g)(x)=f(x)-g(x) = 2x-5 -(2-x)=2x-5-2+x = 3x+5 \n\n\n domain : (f)/(g)=(2x-5)/(2-x)\n\n2-x\neq 0 \n \nx\neq 2 \n \nD=R\setminus \left \{ 2 \right \}

Is - 6.06 rational?

Answers

It is indeed

That is because it is a real number that can be expressed as a fraction which is the criteria for rationality in numbers.

Preparing for a visit to London, a New York resident exchanged 3,500 U.S. dollars for British pounds. (A pound is the basic monetary unit of
Great Britain.) If the exchange rate was 125 U.S. dollars for $1 British
pounds, how many British pounds did the traveler receive?

Answers

It's 28 pounds. 3,500/125 = 28 pounds. 
3,500 U.S Dollars = 2072.72 British Pounds

Allegra has a cell-phone plan that charges $65 per month and $0.10 for every minute that she uses the phone beyond what her plan allows. One month, she was billed $73.40.a. Define a variable for the unknown.
b. Write an equation to model the problem. Explain your answer.
c. Solve the equation. Show your work.
d. Find the number of minutes that Allegra went over the time that the plan allows. Explain your answer.

Please help me with this problem, I don’t understand it. Thanks in advance! :D

Answers

It seems confusing, but it's just breaking down the steps for you. It's done the same as any other word problem.
a. The unknown is how many minutes she used beyond the plan. So, we'll use "m" for the variable, to represent minutes.
b. 73.40 = 65 + 0.10m
   The 73.40 is the total, which is why it's by itself. 65 represents the price per month for the plan, and 0.10m is the price per extra minute multiplied by the unknown amount of minutes used.
c. 73.40 = 65 + 0.10m
     8.40 = 0.10m
       84 = m
d. The number of minutes that Allegra went over the time that the plan allows is found by solving the equation we just wrote and solved. $0.10 is paid for every minute past the plan's allowance, meaning that "m" in the equation, when solved, shows us exactly how many minutes over Allegra went.
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