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3 years ago

How many solutions are in -x-y=3 and y=x-3

1 answer:

Klio2033 [76]3 years ago

5 0

See, pls, offered explanation:
1) the both equations are linear function, it means system made up of the both equation has the only solution.
2) if to prove this:
$\left \{ {{-x-y=3} \atop {-x+y=-3}} \right. \left \{ {{x=0} \atop {y=-3}} \right.$
Answer: one solution.

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The graph of y = h(x) is a line segment joining the points (1, -5) and (9,1).

Stella [2.4K]

Answer:

Ok, i cant drag the endpoints of the segment, but i can tell you how to do it.

First, we know that h(x) joins the points (1, -5) and (9, 1), then h(x) is a line:

h(x) = s*x + b

First, for a line that goes through the points (x1, y1) and (x2, y2), the slope will be:

s = (y2 -y1)/(x2 - x1)

Then in this case, the slope is:

s = (1 - (-5))/(9 - 1) = 0.75

Then we have

h(x) = 0.75*x + b

now, the value of b can be found as:

h(1) = -5 = 0.75*1 - b

b = - 5 - 0.75 = -5.75.

Then our equation is:

h(x) = 0.75*x - 5.75

Now, i gues you want to find the graph of:

y = h(-x)

Then our new function is:

g(x) = h(-x) = -0.75*x - 5.75.

Now to find the points, we evaluate this function in the same values of x as before.

g(1) = -0.75*1 - 5,75 = -6,5

the point is (1, -6.5)

the second point is when x = 9.

g(9) = -0.75*9 - 5.75 = -12.5

The second point is (9, -12.5)

6 0

3 years ago

Read 2 more answers

What are the coordinates of vertex ?

Step2247 [10]

Answer:

(0, -8)

Step-by-step explanation:

8 0

3 years ago

According to the table, how many people got 8 or more hours of sleep?

zalisa [80]

I believe the answer is 17.

4 0

3 years ago

There are 3 seats in each row in a school auditorium. There are 15 rows in the auditorium. Each new seat costs $74. What is the

Akimi4 [234]

3 seats x 15 rows = 45 total seats

45 seats x $74 = $3,330.00 total cost

6 0

3 years ago

Pls help me i need help

Llana [10]

Answer:

3x was subtracted from the left side, but 3x was subtracted from the right side. The Subtract Property of Equality states that you can subtract the same number from each side and the equation will remain true. But 3x and 3 are not the same number (unless x is 1).

x = -8/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.