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stepan [7]
2 years ago
13

Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her

own expenses. After a month of driving from neighborhood to neighborhood and walking door to door, she figured out that her weekly earnings are approximately a linear function of the number of doors she knocks on. She writes the equation of the function like this: E(x)=7x-25, where x is the number of doors knocks on during the week and E (x) is her earnings for the week in dollars. Which of the following are reasonable interpretations of the y-intercept of Jessica’s function? Check all that apply
Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
8 0

Answer:

The slope represents the rate of change of earnings in a week for every unitary change in number of doors knocked. For Jessica's function, her earnings change by +7 units for every unit of door she knocks.

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In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram? AB ≅
siniylev [52]

For any quadrilateral to be a parallelogram

i) either both the pairs of opposite sides must be equal

ii) Both the pairs of opposite sides must be parallel

iii) Opposite pairs of angles must be equal

iv) Diagonals must bisect each other.

v) A pair of opposite sides must be parallel and equal

Here we are already given that AB || CD

So either we should be given that AD || BC

or we must be given that AB = CD

Here it is given AB = CD as an option.

So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.


7 0
2 years ago
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A packing crate measures 3 feet by 12 feet by 7 feet. what is the area of its smallest side
8090 [49]

The packing crate measures 3 feet by 12 feet by 7 feet (volume). To find the area of the smallest side, multiply the two smaller numbers

3 x 7 = 21

21 feet² is the area of the smallest side

hope this helps

5 0
2 years ago
To graph the function g(x) = (x – 5)2 – 9, shift the graph of f(x) = x2 5 units and 9 units.
Monica [59]
To graph the function g(x) = (x<span> – 5)</span>2<span> – 9, shift the graph of </span>f(x<span>) = </span>x2 <span>✔ right 
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4 0
1 year ago
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If john can drink one barrel of water in 6 days, and mary can drink one barrel of water in 12 days, how long would it take them
krek1111 [17]
Hello,

A good first step to take would be to calculate how much of a barrel John and Mary can drink together in 1 day.


If John can drink 1 barrel in 6 days, then every day he can drink 1/6 of a barrel.
If Mary can drink 1 barrel in 12 days, then every day she can drink 1/12 of a barrel. 

Every day, the total that John and Mary can drink will be (1/6) + (1/12) = (1/4) of a barrel.

If we want to know how many days it will take for them to drink 1 barrel of water together, and they drink 1/4 of a gallon every day, we do 

(1) / (1/4) = 1 * (4/1) = 4 days

It will take 4 days for John and Mary to drink 1 barrel together.

Hope this helps!


6 0
2 years ago
Match the reasons with the statements in the proof to prove that triangle AXC is congruent to triangle BXC, given that angles 3
castortr0y [4]

Answer:

The reasons are given below.

Step-by-step explanation:

In triangle ΔAXC and ΔBXC, we are given that angles 3 and 4 are right angles and AX = BX. we have to match the reasons in the given proof of congruency of triangles △AXC ≅ △BXC

In ΔAXC and ΔBXC,

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CX=CX           (Common i.e reflexive property of equality)

Hence by SAS similarity theorem  ΔAXC ≅ ΔBXC

hence, the above are the reasons of the statements in given proof.


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1 year ago
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