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3 years ago

Economic Market Supply For Gas Need Help With These Answer

Mathematics

1 answer:

irakobra [83]3 years ago

3 0

Answer:

at a price of $2, the supply of gasoline will be around 11

Step-by-step explanation:

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Please Help <br> Write a system of linear Inequalities to represent each graph.

docker41 [41]

Answer:

$\left\{\begin{array}{l}5x-y-7\le 0\\2x+3y-9\ge 0\end{array}\right.$

Step-by-step explanation:

1. Blue region. The boundary blue line passes through the points (0,-7) and (3,8), then its equation is

$\dfrac{x-0}{3-0}=\dfrac{y+7}{8+7},\\ \\15x=3(y+7),\\ \\5x=y+7,\\ \\5x-y-7=0.$

This line is solid, so the sign for the inequality should be with the notion "or equal to".

From the diagram you can see that the origin belongs to the blue region, then its coordinates satisfy the inequality. Thus,

$5x-y-7\le 0.$

2. Green region. The boundary green line passes through the points (6,-1) and (0,3), then its equation is

$\dfrac{x-0}{6-0}=\dfrac{y-3}{-1-3},\\ \\-4x=6(y-3),\\ \\-2x=3y-9,\\ \\2x+3y-9=0.$

This line is solid, so the sign for the inequality also should be with the notion "or equal to".

From the diagram you can see that the origin doesn't belong to the blue region, then its coordinates satisfy the inequality. Thus,

$2x+3y-9\ge 0.$

3. The system of linear inequalities that represents these graphs is

$\left\{\begin{array}{l}5x-y-7\le 0\\2x+3y-9\ge 0\end{array}\right.$

6 0

3 years ago

Jenna and Heidi together have $60. Jenna has $9 more than twice Heidi’s amount. How much money does each have?

Marina86 [1]

Jenna has $43 and Heidi has $17.

Step-by-step explanation:

Total amount = $60

Let,

Amount of Jenna = x

Amount of Heidi = y

According to given statement;

x+y=60 Eqn 1

x=2y+9 Eqn 2

Putting value of Eqn 2 in Eqn 1;

$(2y+9)+y=60\\2y+9+y=60\\3y=60-9\\3y=51$

Dividing both sides by 3,

$\frac{3y}{3}=\frac{51}{3}\\y=17\\$

Putting y=17 in Eqn 2

$x=2(17)+9\\x=34+9\\x=43$

Jenna has $43 and Heidi has $17.

Keywords: linear equations, substitution method

Learn more about substitution method at:

#LearnwithBrainly

4 0

3 years ago

Need help on this problem <br> Multiple questions

umka21 [38]

answer: a. input, output

explanation: this is because the x values can not repeat in a function. if they do, they would not pass the vertical line test, and therefore it would not be a function. so, each input and output must be different values. :)

7 0

3 years ago

Par on a golf course is 72. If a golfer shot rounds of 76, 67, and 75 in a tournament, what will she need to shoot on the final

skelet666 [1.2K]

$\frac{76 + 67+ 75 + x}{ 4} = 72$
x = 70
She will need to shoot a 70

5 0

3 years ago

What is 2/3 of 1/5th?

Arte-miy333 [17]

2/3 • 1/5 = 2/15

'of' always means multiplication.

5 0

3 years ago

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