Answer:
for
Step-by-step explanation:
See attachment for proper question
Given
For
Required
Determine the inverse function
Replace f(x) with y
Swap the positions of x and y
Multiply both sides by -2
Square both sides
Make y the subject
The inverse has been solved. So, we need to replace y with f'(x)
Next, is to determine the interval
Change inequality to
Hence, the inverse function is:
for
Answer:
7/3 or 2 1/3
Step-by-step explanation:
meth
<h3>
Answer: 41 degrees</h3>
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Explanation:
Angle BFE is 117 degrees. The adjacent angle to this (angle BFA) is 180-117 = 63 degrees since the two angles form a straight line, and must add to 180.
Now because BD is parallel to AE, we know that the alternate interior angles BFA and FBD are the same measure. This makes angle FBD to be 63 degrees.
We're told that segment BF bisects angle ABD. That indicates the two smaller pieces (angles ABF and FBD) are the same measure. Both are 63 degrees in this case.
Let x be the measure of angle DBC. This angle will add to angles ABF and FBD to form a 180 degree straight angle
(angleABF) + (angleFBD) + (angleDBC) = 180
(63) + (63) + (x) = 180
x+126 = 180
x = 180-126
x = 54
Angle DBC is 54 degrees.
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The last set of steps has us focus on triangle BCD. The three angles of any triangle always add to 180.
B+C+D = 180
54 + 85 + D = 180
139 + D = 180
D = 180-139
D = 41
Angle CDB is 41 degrees, and so is angle CEA as they are corresponding angles. Corresponding angles are congruent when we have parallel lines like this.
Therefore, angle E is 41 degrees.
The diagram is below showing all of the angles we found.
Answer:
first is the chart so for the time row its 4, 8, 12, 16, 20 & distance is 3, 6, 9, 12, 15
I added the complete graph down below, basically what i did wasplot the points from the chart so (4,3), (8,6), (12,9), (16, 12), and (20,15)
so for example for (4,3) you would first find 4 on the x-axis or the time line and then find 3 on the y-axis and so on let me know if you can see the picture:)
Given that total number of pounds of grass seed needed = 9
Let number of pounds of Bermuda seeds used = x
Let number of pounds of Fescue seeds used = y
Then sum of both gives equation:
x+y=9
or y=9-x...(i)
Given that cost of 1 pound of Bermuda seed = $4.80
Then cost of x pound of Bermuda seed = $4.80x
Given that cost of 1 pound of Fescue seed = $3.50
Then cost of y pound of Fescue seed = $3.50y
total cost will be 4.80x+3.50y
Given that cost of 1 pound of mix seed = $4.02
Then cost of 9 pound of mix seed = $4.02*9
combining all three parts, we get equation:
4.80x+3.50y=4.02*9
4.80x+3.50y=36.18...(ii)
plug (i) into (ii)
4.80x+3.50y=36.18
4.80x+3.50(9-x)=36.18
4.80x+31.5-3.50x=36.18
4.80x-3.50x=36.18-31.5
1.3x=4.68
x=3.6
Now plug x=3.6 into (i)
y=9-x=9-3.6=5.4
Hence final answer is given by:
Let number of pounds of Bermuda seeds he should buy = 3.6 pounds
Let number of pounds of Fescue seeds he should buy = 5.4 pounds