(2x - 1)(x + 2y - 3) =
2x(x + 2y - 3) + (-1)(x + 2y - 3) =
2x^2 + 4xy - 6x - x - 2y + 3 =
2x^2 + 4xy - 7x - 2y + 3
Answer:
Step-by-step explanation:
1022
Answer:
Yes
Step-by-step explanation:
Because 9, 12, and 15 are Pythagorean triples
Answer:
Option (3)
Step-by-step explanation:
Glide reflection of a figure is defined by the translation and reflection across a line.
To understand the glide rule in the figure attached we will take a point A.
Coordinates of the points A and A' are (2, -1) and (-2, 4).
Translation of pint A by 5 units upwards,
Rule to be followed,
A(x, y) → A"[x, (y + 5)]
A(2, -1) → A"(2, 4)
Followed by the reflection across y-axis,
Rule to be followed,
A"(x, y) → A'(-x, y)
A"(2, 4) → A'(-2, 4)
Therefore, by combining these rules in this glide reflections of point A we get the coordinates of the point point A'.
Option (3) will be the answer.
Answer:
If we reject the null hypothesis based on the evidence, then our conclusion should be Option c.
If we do not reject the null hypothesis based on the evidence, then our conclusion should be Option a.
Step-by-step explanation:
We are given that the FDA wants to set up a hypothesis test to show that the new drug is safe before approving it by assuming it to be unsafe.
So, Null hypothesis,
= New drug is unsafe
Alternate Hypothesis,
= New drug is safe
<em>Now, if we reject the null hypothesis based on the evidence, then our conclusion should be that : </em>
There is sufficient evidence to believe that the new drug is safe because rejecting null hypothesis means that alternate hypothesis is accepted with required evidence.
<em>And If we do not reject the null hypothesis based on the evidence, then our conclusion should be that : </em>
There is insufficient evidence to believe that the new drug is safe because not rejecting null hypothesis means that we are not ready with enough evidence to assume that new drug is safe.