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3 years ago

Y is inversely proportional to (x+2)² when x=1, y=2

Mathematics

1 answer:

REY [17]3 years ago

6 0

Answer:

y = 18 / (x + 2)²

Step-by-step explanation:

Inversely proportional

y * (x + 2)² = k

when x=1, y=2

k = 2 * (1 + 2)²

k = 18

-----------------------

y * (x + 2)² = 18

Divide both sides by (x + 2)²

y = 18 / (x + 2)²

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What is 1/2 divided by 1/3

Artemon [7]

Answer:

$\frac{3}{2}$

Step-by-step explanation:

$\frac{1}{2}$ ÷ $\frac{1}{3}$

The reciprocal of $\frac{1}{3}$ is 3, so finding the reciprocal will replace the division sign with a multiplication sign.

= $\frac{1}{2}$ x 3

= $\frac{3}{2}$ or 1 $\frac{1}{2}$ or 1.5

6 0

3 years ago

Which expression simplifies to 41? Choose all that apply!

Arada [10]

Answer:

None of the expressions is simplified to 41.

Step-by-step explanation:

You have to follow the P.E.M.D.A.S., this is:

P:Parentheses first.

E:Exponent next.

M:Multiplication.

D:Division.

(Multiplication and Division is whichever come first, from left to right)

A: Addition.

S: Subtraction.

(Addition and Subtraction is whichever come first, from left to right).

We are going to analyze every option:

1. 10+ 2.4 - 1

First we have to solve the multiplication:

$10+ 2.4 - 1=10+8-1$

Now we have to solve the addition and subtraction from left to right:

$10+8-1=18-1=17\neq 41$

This is not a correct answer.

2. 10+2.(4-1)

We have to solve the parentheses first:

$10+2.(4-1)=10+2.(3)$

Now the multiplication and then the addition.

$10+2.(3)=10+6=16\neq 41$

This is not a correct answer.

3. (10+23).4-1

We have to solve the parentheses first:

$(10+23).4-1=(33).4-1$

Now the multiplication and then the subtraction:

$(33).4-1=132-1=131\neq 41$

This is not a correct option.

4. $10+(2^2.4)-1$

We have to solve the parentheses first, in the parenthesis first we have to solve: $2^2$ and then do the multiplication.

$10+(2^2.4)-1=10+(4.4)-1=10+16-1$

Now we have to solve the addition and subtraction from left to right:

$10+16-1=26-1=25\neq 41$

This expression is not a correct option.

Then none of the expressions is simplified to 41.

5 0

3 years ago

PLEASE ANSWER THIS!! 15 POINTS! <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D" id="TexFormula1" title="\frac{2

dolphi86 [110]

Answer:

1 5/6

Step-by-step explanation:

Do 2/3 x 2/1 because 2/1 = 2 and you get 1 1/3. Make 1 1/3 into 1 2/6 (1/3 = 2/6) and add 3/6 (1/2 = 3/6)

4 0

2 years ago

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No links please ASAP!!! Find the slope of the line that passes through (5,3) and (4,2).

hodyreva [135]

Answer:

Step-by-step explanation:

y2 - y1/ x2 - x1

3-2/ 5-4 = 1/1 = 1

If my answer is incorrect, pls correct me!

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5 0

2 years ago

What is the answer to this 2^2x =1/32

Alex73 [517]

Answer:

$x=-\frac{5}{2}$

Step-by-step explanation:

$2^{2x}=\frac{1}{32}$

$2^{2x}=\frac{1}{2^5}$

$2^{2x}=2^{-5}$

$2x=-5$

$x=-\frac{5}{2}$

8 0

2 years ago

Read 2 more answers