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3 years ago

The line x - y = 5 passes through (-5, 0) (0, 5) (0, -5)

Mathematics

2 answers:

Simora [160]3 years ago

7 0

Answer:

the line passes through (0,-5)

Step-by-step explanation:

hello

The easiest way to check if a coordinate is the solution of an equation is to put the values of x and y in the equation and equality should be maintained

Step 1

(-5,0)

put the values into the equation

x=-5,y=0

x-y=5

(-5)-0=5

-5=5, false (-5,0) is not a point of the line

Step 2

(0,5)

put the values into the equation

x=0,y=5

x-y=5

(0)-5=5

-5=5, false (0,5) is not a point of the line

Step 3

(0,-5)

put the values into the equation

x=0,y=-5

x-y=5

(0)-(-5)=5

5=5, true (0,-5) is a point of the line

hence

the line passes through (0,-5)

have a good day

neonofarm [45]3 years ago

3 0

The line x - y = 5 passes through the point (0, -5)

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Someone do this got me rq

skelet666 [1.2K]

Answer:

The last listed functional expression:

$\left \{ {x+1\,\,\,\,{x\geq 2} \atop {x+2 \,\,\,\,x$

Step-by-step explanation:

It is important to notice that the two linear expressions that render such graph are parallel lines (same slope), and that the one valid for the left part of the domain, crosses the y-axis at the point (0,2), that is y = 2 when x = 0. On the other hand, if you prolong the line that describes the right hand side of the domain, that line will cross the y axis at a lower position than the previous one (0,1), that is y=1 when x = 0. This info gives us what the y-intercepts of the equations should be (the constant number that adds to the term in x in the equations: in the left section of the graph, the equation should have "x+2", while for the right section of the graph, the equation should have x+1.

It is also important to understand that the "solid" dot that is located in the region where the domain changes, (x=2) belongs to the domain on the right hand side of the graph, So, we are looking for a function definition that contains $x+1$ for the function, for the domain: $x\geq 2$ .

Such definition is the one given last (bottom right) in your answer options.

$\left \{ {x+1\,\,\,\,{x\geq 2} \atop {x+2 \,\,\,\,x$

7 0

2 years ago

Tim Hortons is hiring and offers $200 every week plus $5 per hour. McDonalds offers $300 every week plus $2 per hour. State the

Bogdan [553]

Answer: After working for 33 $\frac{1}{3}$ hours a week

Step-by-step explanation:

Let us write equations to represent these two places. Let x be hours worked and y be money earned.

Tim Hortons:

$200 + $5x = y

McDonalds:

$300 + $2x = y

Now, to find the conditions of which Tim Hortons is the better employer (on the basis of money earned) we must find the interval that Tim Hortons pays more. This can be found by setting up another equation, or by graphing. I have shown both. See attached for the graph.

$200 + $5x > $300 + $2x

$5x > $100 + $2x

$3x > $100

x > $\frac{100}{3}$