Answer:
B: 280
Step-by-step explanation:
The regression line predicts that when x equals 5:
In order to find the value for y, one must simply apply the following logarithmic property:
if : 
then: 
Applying it to this particular problem:
Therefore, the regression line predicts y will equal 280 when x equals 5.
If we dialate a function we are just changing what the graph looks like by a stretch or a compression, the function really doesn't change. If a function before the dilation, then it is a function after the dilation. The opposite is also true.
Suppose the length of the card board was x cm by x cm
After squares of 4cm was cut from the corner, the dimension for the box will be:
length=(x-8) cm
width=(x-8) cm
height=4 cm
thus the volume will be:
V=length*width*height
V=4×(x-8)×(x-8)=144
x²-16x+64=36
this can be simplified to form a quadratic equation given by:
x²-16x+28=0
solving the quadratic equation we get:
x=2 or x=14
Thus we conclude that the original dimensions was:
length=14 cm ; width=14 cm
Answer:
in steps
Step-by-step explanation:
base width: 1/2 x 5 = 2.5
base length: 1/2 x 4 = 2
height: 1/2 x 3 = 1.5
Volume: lwh = 2.5 x 2 x 1.5 = 7.5 in³
