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2 years ago

Solve the system of equations by graphing. x+y=-9 2x+y=6

Mathematics

2 answers:

Arlecino [84]2 years ago

7 0

Answer:

(15,-24) is the solution of system of equations.

Step-by-step explanation:

We have system of equations.

We have to solve it by graphing.

x+y=-9 (eq 1)

2x+y=6 (eq 2)

In first equation,

y = -x-9

slope = -1 and y - intercept= -9

in second equation,

y=-2x+6

slope = -2 and y-intercept = 6

In graph,the intersecting point is the solution of system of equations.

The intersecting point is (15,-24).

We have attached the graph

tia_tia [17]2 years ago

3 0

Answer:

The solution of the given system of equations is 'x= 15 and y= -24'.

Step-by-step explanation:

We are given the inequalities,

x + y = -9

2x + y = 6

To find the solution graphically, we will draw the graphs of both the equation.

Then, the point at which the graphs intersect will be the required solution.

As we can see from the graphs plotted of the equations,

x + y = -9

2x + y = 6

That, they intersect at the point ( 15,-24 ).

Thus, the solution of the given system of equations is 'x= 15 and y= -24'.

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Answer:

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Step-by-step explanation:

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2 years ago

What is the smallest power of 10 that exceeds this number 235,452?

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${10}^{6}$
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2 years ago

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avanturin [10]

Answer:

6 socks

Step-by-step explanation:

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the final probability is the multiplication of these events:

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3 years ago

In a certain sequence of numbers, each term after the first is found by doubling and then adding $3$ to the previous term. If th

eimsori [14]

Given $a_7=125$ you can find a_6:

$a_6= \frac{125-3}{2} =61$
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2 years ago

A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10

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Answer:

Recursive formula:

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Explanation:

All the shown formulae in the choice list are recursive formulae instead of explicit formulae.

Explicit formulae that represent arithmetic sequences are of the form:

$a_n=a_1+(d-1)n$

That kind of formula permits to determine any term knowing the first term, the number of the term searched, and the common difference (d).

On the other hand, the recursive formulae let you to calculate one term knowing the previous term and the difference.

In this case, the difference in the number of squares of two consecutive terms is:

differece = number of squares in the second layer - number of squares in the first layer.

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2 years ago