Answer:
A
Step-by-step explanation:
For a graph to be representative of a proportional relationship, it must meet the following criteria:
1) It is a straight line.
2) It passes through the origin point (0,0).
3) It is neither horizontal nor vertical*.
We can see that D is not a line. So, D is not a proportional relationship.
We can also see that B and C are vertical and horizontal, respectively. They also do not cross the origin.
The only choice that is a straight line and also crosses through the origin point is A.
So, our answer is A.
And we're done!
*Note: Vertical lines are not proportional because they are not a function.
Horizontal lines are not proportional because they has a constant of proportionality of 0, which can't be the case.
9514 1404 393
Answer:
(d) reflection about the x-axis, up 6 units
Step-by-step explanation:
The parent function y=1/x is multiplied by -1, which reflects it over the x-axis. Then 6 is added, which shifts it up 6 units.
The transformations are ...
reflection about the x-axis, up 6 units
Answer:
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=6 is a straight line perpendicular to the y-axis at point (0,6) , which means that the range is a set of one value {6} .
Answer:
Step-by-step explanation:
Given;
x² - 2x - 1 = 0
Solve by completing the square method;
⇒ take the constant to the right hand side of the equation.
x² - 2x = 1
⇒ take half of coefficient of x = ¹/₂ x -2 = -1
⇒ square half of coefficient of x and add it to the both sides of the equation
⇒ take the square root of both sides;
Therefore, option B is the right solution.
Answer: -10, 10
Step-by-step explanation:
first lets add the two equations. add the x's, add the y's, add the constants on the right.
we get
0x - 1y = -10
so then divide --10 by -1 because we do the opposite operations to both sides
and we get y = 10
now substitute y = 10 into the first equation
-10x - 9(10) = 10
and then we get -10x - 90 = 10
now add 90 to both sides
-10x = 100
divide 100 by -10
x = -10
y = 10
checks out
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