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aniked [119]
2 years ago
6

Question 3

Mathematics
1 answer:
Ymorist [56]2 years ago
5 0

To write an equation to represent a given information, the equations are to

expresses the information conveyed in the situation.

The two equations that represent the given information are;

  • <u>x + y = 25</u>
  • <u>5.6·x + 4·y = 133.6</u>

Reasons:

The given information are;

Mass of the large boxes = 5.6 kg

Mass of the small boxes = 4 kg

Number of boxes delivered = 25 boxes

Total mass of the boxes delivered = 133.6 kg

Number of the 5.6 kg box delivered = x

Number of the 4 kg boxes delivered = y

Required:

To form two equations in terms of <em>x</em> and <em>y</em> to represent the situation.

Solution:

The two equations are;

  • The number of boxes delivered = <u>x + y </u><u>= 25</u>
  • Total weight of the boxes delivered = <u>5.6·x + 4·y </u><u>= 133.6</u>

<em>Solving the above equations with a graphing calculator gives;</em>

  • <em>x = 21, y = 4</em>

<em />

Learn more about writing equations here:

brainly.com/question/15790322

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Answer:

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Let (h) be the interse of f (x)=<br> 4x+ 1, which of the following representes f (x)?
liraira [26]

Answer:

» <u>Answer</u><u>:</u><u> </u><u>The</u><u> </u><u>third</u><u> </u><u>objective</u>

{ \tt{h(x) =  - 4x + 1}}

• make x the subject:

{ \tt{h(x) - 1 =  - 4x  }} \\  \\ { \tt{x =  \frac{h(x)}{ - 4}  -  \frac{1}{ - 4} }} \\  \\ { \tt{x =  -  \frac{h(x)}{4} +  \frac{1}{4}  }}

• Therefore, f(x):

{ \boxed{ \boxed{ \tt{ \:  \: f(x) =  -  \frac{1}{4}x  +  \frac{1}{4}   \:  \: }}}}

5 0
3 years ago
The graph below shows the height of a tunnel f(x), in feet, depending on the distance from one side of the tunnel x, in feet:
Soloha48 [4]
<span>Part A: What do the x-intercepts and maximum value of the graph represent?

There are two x-intercepts: x = 0 and x = 36

Those values are the points at which the height of the tunnel is 0.

That means that the width of the tunnel at the ground level is 36 - 0 = 36.

The maximum value of the graph is 32, at x= 18. That, represents that at the center, x= 18,  the tunnel has a height of 32.

What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height? (6 points)

The interval where the function is increasing is (0,18) and the interval where teh function is decreasing is (18,36)

That represents that the height starts to increase with the distance (from 0 to 18) reaches a maximum of 32, at x = 18, and starts to decrease with the distance until x = 36.

Part B: What is an approximate average rate of change of the graph from x = 5 to x = 15, and what does this rate represent? (4 points)

The average rate of change from x = 5 to x = 15 is the change in height divided by the change in distance

=> average rate of change = Δy / Δx

Δy ≈ 31 -14  = 17

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=> Δy / Δx ≈ 17 / 10 = 1.7

</span>
7 0
4 years ago
Juan works at bob’s appliance store . he earns $400 per week he also receives a commission of $50 for each appliance he sels
sweet-ann [11.9K]

Answer:

400×W+50×A=?

Step-by-step explanation:

since it's 400 a week then you need to take into account the weeks worked. Then since it's 50 per an appliance you need to multiply by the number sold.

5 0
3 years ago
If A(0, 0) and B(2, 5), find AB. If necessary, submit your answer as a decimal to the nearest tenth. (Remember: AB means "the di
Olin [163]
To determine the distance between two points, we use the equation,
                                   distance = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting the known values for the abscissa and ordinates of the points,
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Therefore, the distance between these two points is approximately equal to 5.39. 
8 0
4 years ago
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