If four times a number plus 3 is 11, what is the number?A. 4
B. 5
C. 16
D. 2

Answers

Answer 1

Answer: It is very important to readthe question very minutely before going for solving the problem.
Let us assume the unknown number to be = x
Then
4x + = 11
4x = 11 -3
4x = 8
x = 8/4
= 2
So we can see from the above deduction that the unknown number is 2. The correct option among all the options given in the question is option "D". I hope the procedure is clear enough for you to understand.

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Subtract and simplify: (3x^2 + 7) – (x^2 – 6x – 4)Question 3 options:

2x^2 + 6x + 3

4x^2 – 6x + 3

2x^2 + 6x + 11

4x^2 + 3

Answers

Distribute the Negative Sign:=3x2+7+−1(x2−6x−4)=3x2+7+−1x2+−1(−6x)+(−1)(−4)=3x2+7+−x2+6x+4Combine Like Terms:=3x2+7+−x2+6x+4=(3x2+−x2)+(6x)+(7+4)
Answer is =2x2+6x+11

Campus Rentals rents 2- and 3-bedroom apartments for $700 and $900 a month respectively. Last month they had six vacant apartments and reported $4600 in lost rent. How many of each type of apartment were vacant?

Answers

$x-\ amount\ of\ 2-bedroom\n y-\ amount\ of \ 3-bedroom\n\n x+y=6\ \ -->x=6-y\n 4600=x*700+y*900\n\n 4600=700(6-y)+900y\n\n 4600=4200-700y+900y\n\n 4600-4200=200y\n\n 400=200y\ |:200\n\ny=2\nx=6-y=6-2=4\n\n Two\ 2-bedroom\ apartaments\ and\ four\ 3-bedroom\ apartaments\nwere\ vacant,$

6,15, 24,..
Find the 50th term.

Answers

Answer:

447

Step-by-step explanation:

a₁ = 6 + 9*0

a₂ = 6 + 9*1

a₃ = 6 * 9 * 2

......

a₅₀ = 6 + 9*49 = 447

If i is raised to an odd power, then it can not simplify to be

Answers

Answer:

-1

Step-by-step explanation:

If i is raised to an odd power, then it can not simplify to be?

-1

-i

Odyssey

i is the square root of -1. It is an imaginary number because you can't find the answer to the square root of a negative number.
However, the (square root of a number) squared is that number, for example sqrt4 * sqrt4 = 4.
Likewise, sqrt(i) * sqrt(i) = -1. You can see it as sqrt(-1) * sqrt(-1) = -1.

If you multiply by another sqrt(i) however, sqrt(i)^3, then the last sqrt(i) will be left and there will still be an imaginary number. You will have -1 * i, which is -i.
However, if you have sqrt(i)^4, then you have sqrt(-1)*sqrt(-1)*sqrt(-1)*sqrt(-1), which is -1*-1, which equals 1. You see that pairs of sqrt(i)'s balance and take out imaginary numbers.

So, sqrt(i) to odd powers will still have imaginary numbers, while sqrt(i) to even powers won't have imaginary numbers.

3/4x-2/3=1/6x what number could you multiply both sides of the equation by so that the numbers in the problem are integers and not fractions

Answers

Answer:

Step-by-step explanation:

When you multiply both sides of the equation you are multiplying them by the common denominator. In this case, the common denominator is 12. So multiply, then you have the most simplified problem of 2x=9x-8.

Density

Calculate the density of an object with mass 45 grams and volume 25cm^3