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2 years ago

Which is the graph of the linear equality 2x-3y<12

Mathematics

1 answer:

WINSTONCH [101]2 years ago

7 0

Answer:

The graph below shows the answer to

2x - 3y < 12

Also shown as

-3y < -2x + 12

Step-by-step explanation:

You can rearrange the inequality by subtracting 2x from both sides to isolate the y.

You now have -3y < 12 -2x

which can be put into the standard linear equation form of

-3y < -2x + 12

Then you divide both sides by -3 to get singular value of y, which is something like

-3/-3y < -2/-3x + 12/-3

which is

y > 2/3x -4

Note: I switched direction of the inequality because you are dividing both sides by a negative value.

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The little Mexican restaurant sells only two kinds of beef burritos mucho beef sandwich Lucho beef last week the restaurant orde

Finger [1]

Answer:

Cost of a single Mucho beef burrito: $\$5.5$

Cost of a double Mucho beef burrito: $\$6.5$

Step-by-step explanation:

<h3> The exercise is: "The Little Mexican restaurant sells only two kinds of beef burritos: Mucho beef and Mucho Mucho beef. Last week in the restaurant sold 16 orders of the single Mucho variety and 22 orders of the double Mucho. If the restaurant sold $231 Worth of beef burritos last week and the single neutral kind cost $1 Less than the double Mucho, how much did each type of burrito cost?"</h3>

Let be "x" the the cost in dollars of a single Mucho beef burrito and "y" the cost in dollars of a double Mucho burrito.

Set a system of equations:

$\left \{ {{16x+22y=231} \atop {x=y-1}} \right.$

To solve this system you can apply the Substitution Method:

1. Substitute the second equation into the first equation and solve for "y":

$16(y-1)+22y=231\\\\16y-16+22y=231\\\\38y=231+16\\\\y=\frac{247}{38}\\\\y=6.5$

2. Substitute the value of "y" into the second equation and evaluate in order to find the value of "x":

$x=6.5-1\\\\x=5.5$

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3 years ago

If you lend $500.00 to your brother, what is your opportunity cost?

Shtirlitz [24]

<span>Opportunity cost is the value of the next best alternative when you make a decision; it's what you give up. Understanding opportunity cost allows you to make decisions, knowing both what you are getting and what you are giving up. in the above case of lending of $500.00 to your brothers is What you want most costing $500.</span>

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3 years ago

People go to a carnival. Children tickets cost $4.50 and adult tickets cost $7.25. If they bought 28 tickets and spent $59, how

xenn [34]

Answer:

Step-by-step explanation:

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2 years ago

Given f(x)=2x^3-3x and g(x)=-3x^2+1, what is the value of h(3) where h(x)=(f+g)(x)?

Mamont248 [21]

Answer:

h(3) = 73

Step-by-step explanation:

The function $h(x) = f(x) + g(x) = 2x^3 -3x +3x^2 +1 = 2x^3 +3 x^2 -3x+1$

Now since you need to find the value of this new function at the point x=3, replace x by "3" in the expression above and perform the calculation:

$h(3) = 2(3)^3 +3 (3)^2 -3(3)+1=73$

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3 years ago

What is the final efficiency of Lily's car in kilometers per liter?

Elena-2011 [213]

Answer:

12.5 km per liter

Step-by-step explanation:

To get the kilometer per liter divide km by liters

100/8=12.5

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3 years ago