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MatroZZZ [7]
3 years ago
6

A hook in an office storage closet can hold no more than 6 pounds. An order of jumbo paperclips weighs 2 pounds and an order of

packing tape weighs 3 pounds. If x is the number of orders of paperclips and y is the number of orders of packing tape, which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
Mathematics
2 answers:
Kruka [31]3 years ago
5 0

Answer:

It would be A, or the first graph

Step-by-step explanation:

So we’ve now created an equation

2x + 3y ≤ 6

From here, we can convert this into something easier to read

y ≤ -2/3x + 2

Now, we know that the y-intercept is 2 so either A or B

We also know the shaded area should be below the line (because the smallest part of the “≤” is facing the y).

Therefore, the answer is A

DerKrebs [107]3 years ago
4 0

Answer:

A

Step-by-step explanation:

Just got it right on edge 2020

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Which statements are true about the ordered pair (−4, 0) and the system of equations?
stiv31 [10]

The true statements are:

The ordered pair (−4 , 0) is a solution to the first equation because it makes the first equation true ⇒ 1st answer

The ordered pair (−4 , 0) is a solution to the second equation because it makes the second equation true ⇒ 2nd answer

The ordered pair (−4, 0) is a solution to the system because it makes both equations true ⇒ 4th answer

Step-by-step explanation:

To prove that point (a , b) is a solution of an equation

  • Substitute x and y in the equation by a and b
  • If the left hand side is equal to the right hand side, then the point is a solution of the equation
  • If the left hand side doesn't equal the right hand side, the point is not a solution of the equation

∵ The system of equations is:

2x + y = -8 ⇒ (1)

x - y = -4 ⇒ (2)

The ordered pair is (-4 , 0)

Substitute x by -4 and y by 0 in each equation

∵ x = -4 and y = 0

∵ The left hand side in equation (1) is 2x + y

∵ 2(-4) + 0 = -8 + 0 = -8

∴ The left hand side = -8

∵ The right hand side = -8

∴ The left hand side = the right hand side

∴ (-4 , 0) is a solution of equation (1)

The ordered pair (−4 , 0) is a solution to the first equation because it makes the first equation true

∵ The left hand side in equation (2) is x - y

∵ (-4) - 0 = -4 - 0 = -4

∴ The left hand side = -4

∵ The right hand side = -4

∴ The left hand side = the right hand side

∴ (-4 , 0) is a solution of equation (2)

The ordered pair (−4 , 0) is a solution to the second equation because it makes the second equation true

∵ The ordered pair (-4 , 0) makes the two equations true

∴ The ordered pair (-4 , 0) is the solution of the system of equations

The ordered pair (−4, 0) is a solution to the system because it makes both equations true

Learn more:

You can learn more about the system of linear equations in brainly.com/question/6075514

#LearnwithBrainly

6 0
3 years ago
Give an example of a point that is the same distance from (3, 0) as it is from (7, 0). Find lots of examples. Describe the confi
Artist 52 [7]

Supposse that the distance from the point (x,y) to the point (3,0) is equal to the distance from  (x,y) to the point (7,0). Then, by the formula of the distnace we must have

\sqrt{(x-3)^2 + (y-0)^2}=\sqrt{(x-7)^2 + (y-0)^2}

cancel the square root and the (y-0)^2's, and then expand the parenthesis to obtain

x^2 - 6x + 9 = x^2 - 14x + 49

then, simplifying we obtain

8x = 40

therfore we must have

x=5

this means that the points satisfying the propertie must have first component equal to 5. So we can give a lot of examples of such points: (5,0), (5,7),(5,1/2), (5,-10),.... The set of this points give us a straight line and the points (3,0) and (7,0) are symmetric with respect to this line.

3 0
3 years ago
Find the value of 5.8 ÷ 1.2.
EastWind [94]
Your answer is 4.83
5 0
3 years ago
What is the exponential function modeled by the following table?
Ierofanga [76]
\bf \begin{array}{ccll}
x&f(x)\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2&\stackrel{3^2+1}{10}\\
3&\stackrel{3^3+1}{28}\\
4&\stackrel{3^4+1}{82}
\end{array}\implies f(x)=3^x+1
8 0
3 years ago
I"LL GIVE 100 PTS PLEASE ANSWER THIS QUESTION
ollegr [7]

Answer:

6 grams of fat in a snack then 50 grams of protein in snacks

5 0
3 years ago
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