Which of the following inequalities matches the graph? x −1 x −1 y −1 y −1
2 answers:
Answer:
<h2>D.</h2>Step-by-step explanation:
The complete question is
Which of the following inequalities matches the graph?
<em>Graph of an inequality with a solid horizontal line through the point (0, -1) and shading above the line</em>
A. x less than or greater to -1
B. x greater than or equal to -1
C. y less than or greater to -1
D. y greater than or equal to -1
The given description of the graph specifies "a solid horizontal line", when such line is solid, that means the proper inequality sign includes equality. This means that the viable answers are B and D.
Then, the description states that the horizontal line goes through (0,-1), that means the equation of the line is . And if the shading area is above the line, that means all solutions are more than -1, which implies the symbol "greater than or equal to -1".
Therefore, the right answer is D.
You might be interested in
Answer:
Step-by-step explanation:
In order for a triangle to be a right triangle, it has to fit into Pythagorean's Theorem:
where c is the hypotenuse.
We need to figure out which is the longest side in each of those triangles and that is the hypotenuse.
In the first set, the sqrt of 443 is 21.04, but that is not the longest side; 24 is. So the Theorem formula for that is:
which gives us
443 + 289 = 576, but 732 does not equal 576, so that one is not right.
In the second set, the sqrt of 725 is the longest side, so that formula is:
which gives us
725 = 196 + 529, and 725 does equal 725, so that one is right.
In the third set, the sqrt of 890 is the longest side, so:
, which gives us
890 = 361 + 529, and 890 = 890, so that is a right triangle as well. That's how you know those are right, compared to the first one that is not.
Answer:
y = 6
y = 0
y = 0
Step-by-step explanation:
When, x = -2
y = 6
When, x = 0
y = 0
When, x = 4
y = 0