X intercepts where y=0 , then -2x=-10, x= -10/-2, x= 5 ,
A(5,0) is x intercepts
y intercepts where x=0, then 5y= -10, y= -10/5, y= -2,
B (0, -2) is y intercepts
Answer:
Step-by-step explanation:
The ordered pair is located on the boundary line of the graph of the inequality, and because the sign is "less than or equal to", the values on the boundary line are also included in the solution set.
Looking at this logically, we also see that it certainly possible for half the seats to be occupied by adults and half by children.
Answer:
not a right triangle
Step-by-step explanation:
The Pythagorean Theorem states that If a triangle is a right triangle,
the hypotenuse^2 will equal to shorter^2 + longer^2
hypotenuse = 18, shorter side = 4, longer side = 17
18^2 = 4^2 + 17^2
324 = 16 + 289
324 = 305
That is false, therefore the triangle is not a right triangle
Answer: $1,560
Step-by-step explanation:
Assume the computer's price is x.
This means that expressing the printer in terms of x would be:
= 30% * x
= 0.3x
These two put together represent the cost of $2,028
Expression is:
x + 0.3x = 2,028
1.3x = 2,028
x = 2,028/ 1.3
x = $1,560
Computer was $1,560
Printer was therefore:
= 1,560 * 30%
= $468
Answers:
So the solution is (x,y) = (4, -1)
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Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
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To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
