Is 4xy + 2y = 9 linear ? If yes write the equation in standard form & determine the x & y interests

Answers

Answer 1
Answer: no it is not. if that y by the x wasn't there then yes it would be
Answer 2
Answer:

Final answer:

Yes, the equation 4xy + 2y = 9 is linear. Its standard form is 4xy + 2y - 9 = 0. The x-intercept is (2.25, 0) and the y-intercept is (0, 4).

Explanation:

Yes, the equation 4xy + 2y = 9 is linear. To write it in standard form, we can rearrange the terms to bring them all to one side of the equation:



4xy + 2y - 9 = 0



The x and y intercepts can be determined by setting either x or y to 0 and solving for the other variable. Let's set x = 0:



2y - 9 = 0



Solving for y, we get y = 4. So the y-intercept is (0, 4).



Next, let's set y = 0:



4x + 0 - 9 = 0



Solving for x, we get x = 2.25. So the x-intercept is (2.25, 0).

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Make x the subject of the following... 2z = 3r + x

Answers

2z = 3r + x

Make x the subject: 

x = 2z - 3r

What is the square 16/15 in simplest radical form?

Answers

Answer:

To start off, this fraction needs to be rationalized; you can't have a radical in the denominator. So, you multiply both the numerator & denominator by the same number (so as to not mess up the proportion of numerator:denominator; it's like multiplying by 1) & get the radical out of the denominator. What number would that be? sqrt5.

So we have (sqrt6/sqrt5)•(sqrt5/sqrt5).

To simplify that, we get (sqrt6•sqrt5)/(sqrt5•sqrt5).

This can be rewritten as:

sqrt(6•5)/sqrt(5•5)

= sqrt30/sqrt25

Now, sqrt25 = 5, so that problem is solved as such:

sqrt30/5

I'm thinking sqrt30 can't be simplified any further. If it can, do so.

Hope this helps!

Step-by-step explanation:

How many solutions does the equation 3x + 6 = − 1 − 3 + 4x have?Two
Zero
One
Infinitely many

Answers

Answer:

The number of solutions of the equation is:

                                    One.

Step-by-step explanation:

We are asked to find the number of solutions of the equation:

3x+6= -1-3+4x

(

We know that a expression has a unique or one solution if it gives a single value of x after solving the expression.

and we obtain a no solution when the equation gives a false result i.e. the left and right hand side of equality are different.

and infinite many solution if the left and right hand side of equality is same but we can't get a fix value of x )

Now on solving the expression we have:

                     3x+6= -4+4x

i.e.                 4x-3x=6+4

i.e.                      x=10  

Hence, we get a unique value of x.

Hence, the equation has one solution.

it has One solution and to get it solve the equation for x :
6+1+3=4x-3x
x=10

suppose you invest 1050 at an annual interest rate of 5.5% compounded continuously. How much will you have in the account after 5 years? round the solution to the nearest dollar. HELP please

Answers

For an investment with an interest rate compounded continuously, the formula would be

F = Pe^(rn), where r is the annual interest rate and n is the number of years.
F = 1050e^(0.055*5)
F = $1382.36

I hope I was able to answer your question.

Answer: $1372

Step-by-step explanation:

The formula to calculate the compound amount is given by :-

A=P(1+r)^t, where P is principal amount, r is rate of interest and t is time.

Given: P = $1050

r=5.5%=0.055

t= 5 years

Now, the compound amount after 5 years will be :_

A=1050(1+0.055)^5\n\n\Rightarrow\ A=\$1372.30800673\approx\$1372

You will have $1372 in the account after 5 years.

Please help need answer asp

Answers

c i hope this helped

Samantha builds one birdhouse in 6 3/8 hours. How many hours does it take to build 4 birdhouses?

Answers

4 times 6 3/8 is 24 12/8, which simplifies to  25 1/2.

Final answer:

Samantha takes 6 3/8 hours to build one birdhouse. To find out how long it will take to build 4 birdhouses, multiply the time it takes to build one birdhouse by the number of birdhouses. Therefore, it will take Samantha 25.5 hours to build 4 birdhouses.

Explanation:

The subject of this question is Mathematics, more specifically multiplicative operations applied to time concepts in a real-world problem-solving scenario.

Solution for the Question

  1. First, identify the number of hours it takes Samantha to build one birdhouse. That is, 6 3/8 hours.
  2. Since, she's planning to build 4 birdhouses, you need to multiply the number of birdhouses (4) by the time it takes to build one birdhouse (6 3/8 hours). Hence, 4 x 6 3/8 hours = 25.5 hours.
  3. So, it will take Samantha 25.5 hours to build 4 birdhouses.

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