HELLLLPPPP PLEASEEE Solving Inequalities

Mathematics

1 answer:

AnnZ [28]3 years ago

7 0

Answer:

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Step-by-step explanation:

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What is the solution to the system of equations?

Dovator [93]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}x+3y+2z=8&(1)\\3x+y+3z=-10&(2)\\-2x-2y-z=10&(3)\end{array}\right\qquad\text{subtract both sides of the equations (1) from (2)}\\\\\underline{-\left\{\begin{array}{ccc}3x+y+3z=-10\\x+3y+2z=8\end{array}\right }\\.\qquad2x-2y+z=-18\qquad(4)\qquad\text{add both sides of the equations (3) and (4)}\\\\\underline{+\left\{\begin{array}{ccc}-2x-2y-z=10\\2x-2y+z=-18\end{array}\right}\\.\qquad-4y=-8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad y=2\qquad\text{put the value of y to (1) and (3)}$

$\left\{\begin{array}{ccc}x+3(2)+2z=8\\-2x-2(2)-z=10\end{array}\right\\\left\{\begin{array}{ccc}x+6+2z=8&\text{subtract 6 from both sides}\\-2x-4-z=10&\text{add 4 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+2z=2&\text{multiply both sides by 2}\\-2x-z=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+4z=4\\-2x-z=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad3z=18\qquad\text{divide both sides by 3}\\.\qquad\qquad z=6\qquad\text{put the value of z to the first equation}$

$x+2(6)=2\\x+12=2\qquad\text{subtract 10 from both sides}\\x=-10$

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3 years ago

Simplify each expression. Use positive exponents. <br> A^4b^-3<br> ab^-2

choli [55]

$\dfrac{a^4b^{-3}}{ab^{-2}}$

$= {a^{4-1}b^{-3+2}}$

$= {a^{3}b^{-1}}$

$= \dfrac{a^3}{b}$

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3 years ago

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A line has a slope of -5 and passes through the point (2, 2). What is the equation for this line?

koban [17]

To determine the equation of the line, we use the point slope form equation for this problem. It is expressed as:

y - y1 = m(x - x1)

We substitute the given values in the problem to the equation.

y - 2 = -5(x - 2)
y = -5x +10+2
y = -5x +12

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3 years ago

The 4 in 400,000 has a value of 400 yes or no

Oduvanchick [21]

I'm pretty sure its not.

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There are 3 sides in a right triangle. The two legs and what? The answer is one word and begins with "h".

V125BC [204]

Hypotenuse, you can find it by using the <span>Pythagorean theorem</span>

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3 years ago