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3 years ago

What's the solution for 2x 7y=2 x y=-1

1 answer:

5 0

Simplifying

(2x + -7y ) = 0

Multiply
(2x + -7y) * (x + y) 
(2x * (x + y) + -7y * (x + y)) = 0
((x * 2x + y * 2x) + -7y * (x + y)) = 0

Reorder the terms:
((2xy + 2x2) + -7y * (x + y)) = 0
((2xy + 2x2) + -7y * (x + y)) = 0
(2xy + 2x2 + (x * -7y + y * -7y)) = 0
(2xy + 2x2 + (-7xy + -7y2)) = 0

Reorder the terms:
(2xy + -7xy + 2x2 + -7y2) = 0

Combine like terms: 2xy + -7xy = -5xy
(-5xy + 2x2 + -7y2) = 0

Solving -5xy + 2x2 + -7y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -7y)(x + y) = 0

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Step-by-step explanation:

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3 years ago

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3 years ago

For the function f x equals square root x ^ 3 - x, State the condition that must be satisfied for the FX to be Define. Then, sol

Svetradugi [14.3K]

Answer:

Domain: $[-1,0]\cup [1,\infty )$

Step-by-step explanation:

Since we know that a square root function is not defined for negative numbers. In order our function to be defined values inside radical must be greater than or equal to zero.

Our function will be defined when $x^{3} -x\geq 0$

$x(x^{2} -1)\geq 0$

$x(x-1)(x+1)\geq 0$

$1\geq x\leq 0$ or $x\geq1$

Now we will use number line method of solving inequalities to check whether our answer is right or not.

Let us try -2, -1/2, 1/2 and 2 to check which conditions meet our criteria.

$-2^{3} --2\geq 0\\-6\leq 0$

$(\frac{-1 }{2}) ^{3} -(\frac{-1}{2}) \geq0$

$\frac{-1}{8} +\frac{1}{2} \geq 0\\\frac{3}{8} \geq 0$

$(\frac{1 }{2}) ^{3} -\frac{1}{2} \geq0$

$\frac{1}{8} -\frac{4}{8} \leq 0$

$2^{3} -2\geq 0\\6\geq 0$

Therefore, we can see that our function is defined when $1\geq x\leq 0$ or $x\geq1$ and domain of f(x) is $[-1,0]\cup [1,\infty )$ .

4 0

3 years ago

A shape is divided into six equal parts and that the numerator is 4. do you agree? explain.

ddd [48]

Answer:

4/24

Step-by-step explanation:

4/24 is equivalent to 1/6

Hope this helps

6 0

2 years ago

Find the circumference of a circle if the area is 45m^2

ki77a [65]

C=2pir
A=pir^2
45=pir^2
divide both sides by pi (aprox pi=3.141592)
14.32394785=r^2
sqrt both sides
3.784699176=r
sub
C=2pir
C=(2)(pi)(3.784699176)
aprox pi=3.141592
C=23.779961311m

3 0

3 years ago