Set up a system of equations and say green route is x and blue route is y
This will give you
Monday 6x + 5y= 52
Tuesday 12x + 13y = 119
Solve by multiplying the top equation by two to get
12x + 10y= 104
Since you have 12x in both equations, these cancel out when you subtract the bottom from the top. This leaves you with
-3y=-15
Y=5
The blue route is 5 miles, but they want to know the green route. Fill in the y value in either one of your equations. Let’s use the one from Tuesday
12x + 13 (5) = 119
12x= 54
X= 4.5
This means that the answer is 4.5 miles
Answer:
Step-by-step explanation:
1.)The 4th picture will be the correct one.
Step-by-step explanation:
The first picture shows the graph of f(x) and in the options there are pictures of graph of g(x) = f(x) -1
So, it is clear from the equation of the functions that the graph of f(x) and g(x) will be similar but the the y value in g(x) will be 1 less than the y value in f(x) corresponding to a certain x value.
So, the graph will translate down by 1 unit.
Therefore, the 4th picture will be the correct one.
2.)-(2^x) - 1 will have a y-intercept of -1-1 = -2, a horizontal asymptote of y=-1, and will be decreasing everywhere. The third selection is the graph that has these characteristics.
A) (X+5) (X+2)
B) (X-4) (X-2)
Answer:
y > -2x + 2
Step-by-step explanation:
The dashed line tells us the answer doesNOT have the "or=to" under the inequality symbol. Then the y-intercept is positive 2. So it must be
y > -2x + 2
see image
Look at the y-intercept and think of up/down instead of left/right on the shading and then you can see whether its < or >
Answer:
Step-by-step explanation:
Given (Missing Information):
; ;
Required
Determine the volume
Using Shell Method:
First solve for a and b.
and
Substitute 8 for y
Take 2/3 root of both sides
This implies that:
For
This implies that:
So, we have:
The volume of the solid becomes:
Open bracket
Integrate
Substitute 4 and 0 for x
Take LCM
Hence, the required volume is: