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kakasveta [241]
4 years ago
11

Consider the graph below. Which of the following coordinates belong in the box?

Mathematics
2 answers:
MArishka [77]4 years ago
7 0

Answer:

Option b) (-26,-5)

Step-by-step explanation:

We are given the following information in the question.

The x-coordinate changes from -21 to-16. Thus its value increases 5 units.

The y -coordinate changes from -9 to -13. Thus, it decreases by a value of 4 units.

So to obtain the coordinates in the box:

x-coordinate

We decrease 5 units from -21 that is -21 - 5 = -26

y- coordinate

We add 4 units to -9 that is -9 + 4 = -5

So, the coordinates in the box is given as:

Option b) (-26,-5)

AveGali [126]4 years ago
5 0
I think it’s b my guess
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Answer:

x = 5 ± \sqrt{17}

Step-by-step explanation:

Given

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(x - 5)² = 17 ( take the square root of both sides )

x - 5 = ± \sqrt{17} ( add 5 to both sides )

x = 5 ± \sqrt{17}

Thus

x = 5 - \sqrt{17}

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uranmaximum [27]

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3 years ago
Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?
nirvana33 [79]

Answer:

Each pencil costs $0.07 and each eraser costs $0.03

Step-by-step explanation:

System of linear equations

It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.  

Let p=the price of each pencil while e is the price each eraser

Julio bought 4 pencils and 3 erasers, spending

4p+3e=0.37

David bought 3 pencils and 4 erasers, spending

3p+4e=0.33

The system of equations is written in the form

\left\{\begin{matrix}4p+3e=0.37\\ 3p+4e=0.33\end{matrix}\right

We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:

\left\{\begin{matrix}-12p-9e=-1.11\\ 12p+16e=1.32\end{matrix}\right.

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\left\{\begin{matrix}-16p-12e=-1.48\\ 9p+12e=0.99\end{matrix}\right.\end{matrix}\right.

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Solution: Each pencil costs $0.07 and each eraser costs $0.03

7 0
3 years ago
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