the maximum height is the y-value of the vertex.
h(x) = -2x² + 20x + 48
<em> a=-2, b=20, c=48</em>
h(5) = -2(5)² + 20(5) + 48
= -50 + 100 + 48
= 50 + 48
= 98
Answer: 98 meters
Answer:
h = 14 units
Step-by-step explanation:
area of parallelogram = bh
plug everything in: 84 = (6)h
h = 84/6 = 14
Answer:
13m/h
Step-by-step explanation:
1/5m=1/65h
65/5m=h
13m=h
13 miles per hour.
Answer:
BC = 205.8 feet
Step-by-step explanation:
Please see attached photo
From the attached photo:
Angle B = 71°
Adjacent = BD = 67 feet
Hypothenus = BC = x
The value of x can be obtained as follow:
Cos B = Adjacent / Hypothenus
Cos 71 = 67 / x
0.3256 = 67 / x
Cross multiply
0.3256 × x = 67
Divide both side by 0.3256
x = 67 / 0.3256
x = 205.8 feet
Therefore BC = 205.8 feet
<u>Solution-</u>
We know that,
<em>Residual value = Given value - Predicted value</em>
The table for residual values is shown below,
Plotting a graph, by taking the residual values on ordinate and values of given x on abscissa, a random pattern is obtained where the points are evenly distributed about x-axis.
We know that,
<em>If the points in a residual plot are randomly dispersed around the horizontal or x-axis, a linear regression model is appropriate for the data. Otherwise, a non-linear model is more appropriate.</em>
As, in this case the points are distributed randomly around x-axis, so the residual plot show that the line of regression is best fit for the data set.