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3 years ago

How to write a system of inequalities

2 answers:

4 0

Graph both inequalities on a grid. Make sure you use appropriate boundary lines and shade the correct half plane for each inequality. Identify the intersection of the two inequalities and answer the questions that pertain to the problem.

leonid [27]3 years ago

4 0

Use a number two times in the output

example input 1 output 2 input 2 output 3 input 3 output 2
this is an inequality <span />

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How do I solve this algebra two btw

pychu [463]

$\bf \begin{cases} x^2+y^2=400\\ \boxed{y}=x-28 \end{cases}\qquad \stackrel{\textit{substituting on the 1st equation}}{x^2+\left( \boxed{x-28} \right)^2=400} \\\\\\ x^2+(x^2-56x+28^2)=400\implies x^2+x^2-56x+28^2=400 \\\\\\ 2x^2-56x+784=400\implies 2x^2-56x+384=0 \\\\\\ 2(x^2-28x+192)=0\implies x^2-28x+192=0 \\\\\\ (x-16)(x-12)=0\implies x = \begin{cases} 16\\ 12 \end{cases}$

now that we know what are the x-values, what are the y-values? well, we can just use the 2nd equation, since we know that y = x - 28, then

$\bf y = x - 28\implies \stackrel{\textit{when x = 16}}{y = 16 - 28}\implies y = -12 \\\\\\ y = x - 28\implies \stackrel{\textit{when x = 12}}{y = 12 - 28}\implies y = -16 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{x}{16}~~,~~\stackrel{y}{-12})\qquad,\qquad (\stackrel{x}{12}~~,~~\stackrel{y}{-16})~\hfill$

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3 years ago

Wang Hao wants to spend at most $15 on dairy products. Each liter of goat milk costs $2.40 and each liter of cow's milk costs $1

Mashutka [201]

Answer:

2.40g + 1.20c ≤15

Step-by-step explanation:

Each liter of goat milk costs $2.40 and each liter of cow's milk costs $1.20

Let g = liters of goats milk

c = liters of cows milk

What we are buying is the liters times the cost

2.40g + 1.20c

This must be less than or equal to 15 dollars

2.40g + 1.20c ≤15

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4 years ago

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What is the surface area of a cube that has 2 inch sides?

timofeeve [1]

Answer:

A=24in²

Step-by-step explanation:

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4 years ago

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I really need help!!!!!!!!!!!!!!!!!!

olga nikolaevna [1]

Answer:

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3 0

3 years ago

What is the intercept of y+3=1/2x and y=5x-7x+8

kondaur [170]

The intercept of 2 equations is a point that verifies both equations. By that I mean that if you replace the coordinates of this point in both equations, you would get the same y.
So, to do this, you use this form of expression: y=y
So you do the equality of both expressions, and find x.
But in your case, we have one equation that is not in the y= form: y+3=1/2x.
So you subtract 3 from each side, making it y=1/2x-3
Now, we can do y=y.
1/2x-3 = 5x-7x+8
1/2x-3=-2x+8
Then, we move the variables to a side, and the numbers to the other side of the expression, so you get:
1/2x + 2x = 8 + 3
5/2x = 11
To find x, you divide both sides by 5/2:
x= 11/(5/2)
x= 11*2/5 (when you divide 2 fractions, the result is equal to the first fraction multiplied by the inverse of the second)
x=22/5

So, the intercept of y+3=1/2x and y=5x-7x+8 is 22/5.

You can check your answer (this is very important):
y+3 = 1/2 * 22/5
y+3 = 22/10
y= -8/10

y=5x-7x+8
y=5(22/5)-7(22/5)+8
y=-8/10

Hope this Helps! :)

8 0

3 years ago