Answer:
Explanation:
<em>The line y = -1 </em>is horizontal: parallel to the y-axis.
The point<em> B (2,3)</em> is above <em>the line y = - 1 </em>at a distance equal to the y-coordinate of B (y = 3) less - 1:
When the <em>point B (2,3) </em>is <em>reflected over the line y = -1</em>, the x-coordinate does not change. The image will be 4 units down the line y = -1, thus the y-coordinate will be - 1 - 4 = - 5.
Hence,<em> the coordinates of the vertex B'</em> are x = 2, y = - 5: (2, - 5).
X-intercept is (-3,0)
Y-intercept is (0,6)
The equation is y=2x+6
Replace y with 0 when solving for x-intercept and replace x with 0 when solving for y-intercept.
Answer:
C
Step-by-step explanation:
reflection across the x-axis.
Answer:
The training does reduce response time at 0.05 level of significance
Step-by-step explanation:
Population mean for a population with normal distribution, where the standard deviation is known and the appropriate significant test is given then;
z=x-μ / δ/√n
where
μ= 9 minutes
x=8 minutes
δ= 4.2
n= 36
Applying the formula;
z= 8-9 / 4.2/√36
z= -1 / 4.2/6
z= -1 /0.7 = - 1.429
Perform the test where
H₀ : p=0.05 verse Ha : p < 0.05
Using the Z-table, find the probability that Z is less than -1.43.
You will find the probability of 0.0764 of Z being more than the value in test thus; there are high chances that results will be observed according to the null hypothesis
Answer: x² - 5x - 14
Step-by-step explanation: Start with the formula for the area of a rectangle.
Area = length x width
To multiply these two binomials, let's use the F.O.I.L. method.
The product of the first terms is x².
The product of the outer terms is -7x.
The product of the inner terms is 2x.
The product of the last terms is -14.
So we have x² - 7x + 2x - 14 which simplifies to x² - 5x - 14.