PLEASE HELPPP Which shows the graph of the solution y is less than or equal to -4x + 3
1 answer:
The less than or equal to means you are looking for a graph with a solid line first and foremost. Any graph with a dashed line is automatically eliminated.
Now because you look for a line with a y-intercept of 3 or crossed the y-axis at (0, 3).
Once you find a line fitting those two criteria, eliminate the others.
Now, for the slope. You are looking for a negative sloping line because of the negative attached to the 4x. Meaning from left to right, the y-values should be decreasing.
Lastly, because of the statement "y is less than", your shading should be on the left side of your line. This means every ordered pair in the shaded area and on your line will make your equation a true statement.
I list all of these because your picture does not include the rest of your options and the two featured are incorrect. Your graph should look like this:
Now because you look for a line with a y-intercept of 3 or crossed the y-axis at (0, 3).
Once you find a line fitting those two criteria, eliminate the others.
Now, for the slope. You are looking for a negative sloping line because of the negative attached to the 4x. Meaning from left to right, the y-values should be decreasing.
Lastly, because of the statement "y is less than", your shading should be on the left side of your line. This means every ordered pair in the shaded area and on your line will make your equation a true statement.
I list all of these because your picture does not include the rest of your options and the two featured are incorrect. Your graph should look like this:
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ANSWER
B. The two middle coefficients add to the correct number but do not multiply to the correct number.
EXPLANATION
The given quadratic trinomial that Tina tries to factor is
Comparing to
we have a=10, b=-13 and c=-3
ac=-3×10=-30
We split the middle term so that their sum is -13.
Tina use
-10,-3
to get
-10x-3x
The sum is -13x alright but the product is not -30.
B is correct.
Answer:
Step-by-step explanation:
If you plot the directrix and the focus, you can see that the focus is to the left of the directrix. Since a parabola ALWAYS wraps itself around the focus, our parabola opens sideways, to the left to be specific. The formula for the parabola that opens to the left is
We will solve this for x at the end. The negative is out front because it opens to the left. If it opened to the right, it would be positive.
The vertex of a parabola is exactly halfway between the focus and the directrix, so our vertex coordinates h and k are (3, 6). P is defined as the distance between the vertex and the directrix, or the vertex and the focus. Since the vertex is directly between both the directrix and the focus, each distance is the same. P = 1. Filling in what we have now:
which simplifies to
Now we will solve it for x.
and
so