Positive values of f(x) will become corresponding negative values of f(x)
and vice versa
Its B reflects across the x axis
We know that
scale factor=1/8
volume smaller figure=[scale factor]³*volume larger figure
so
volume larger figure=volume smaller figure/[scale factor]³
volume smaller figure=7 km³
volume larger figure=7/[1/8]³----> 7/(1/512)---> 7*512---> 3584 km³
the answer Part a) is
the volume of the larger figure is 3584 km³
surface area smaller figure=[scale factor]²*surface area larger figure
surface area larger figure=surface area smaller figure/[scale factor]²
surface area smaller figure=9 km²
surface area larger figure=9/[1/8]²----> 9/(1/64)---> 9*64---> 576 km²
the answer part b) is
the surface area of the larger figure is 576 km²
Given:
The graph of an inequality.
To find:
The inequality in slope intercept form.
Solution:
The slope intercept form is:
Where, m is slope and b is y-intercept.
From the given graph it is clear that the boundary line passes through the points (-3,0) and (0,-3).
From the given graph it is clear that the boundary line is a solid line and the shaded region lies above the line, so the sign of inequality must be "≥".
Therefore, the required inequality is .
3/4 and 9/12 are alike because they are both the same value. They are different because 3/4 is simplified while 9/12 is not.
There are two steps to this problem. The first step is to make an equation for the cost of each company. The cost of each one involves 2 variables. However, we can ignore the number of days since the question asks for per day.
CostA = 90 + .40(miles)
CostB = 30 + .70(miles)
We want to know when A is a better deal or when A costs less. That is when CostA < CostB. We can then substitute the right sides of our equations into the inequality. This will give:
90 + .40(miles) < 30 + .70(miles) This is where we will now begin to solve for the number of miles.
-30 -30 Subtract 30 from both sides.
60 + .4(miles) < .7(miles) Simplify
-.4(miles) -.4(miles) Subtract .4(miles) from both sides
60 < .3(miles) Simplify
/.3 /.3 Divide both sides by .3
200 < miles Simplify
So for A to cost less the number of miles must be greater than 200.
