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).
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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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:
Zero
One
Infinitely many
The number of solutions of the equation is:
One.
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.
Answer: $1372
Step-by-step explanation:
The formula to calculate the compound amount is given by :-
, 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 :_
You will have $1372 in the account after 5 years.
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.
The subject of this question is Mathematics, more specifically multiplicative operations applied to time concepts in a real-world problem-solving scenario.
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