Answer:
<h2>
</h2>
Step-by-step explanation:
To find g-¹( 2) we must first find g-¹(x)
To find g-¹(x) equate g(x) to y
That's
y = g(x)
We have
y = - 2x + 7
Now interchange the terms that's x becomes y and y becomes x
We have
x = - 2y + 7
Make y the subject in order to find g-¹(x)
Move 7 to the left side of the equation
- 2y = x - 7
Multiply both sides by - 1
We have
2y = 7 - x
Divide both sides by 2 to make y stand alone
That's
<h3>
</h3>
So we have
<h3>
</h3>
Now to find g-¹(- 2) substitute the value of x that's - 2 into the expression
We have
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
The length is two inches less than five times the width. This means
Length (L) = 5w - 2. (Does this make sense? You calculate 5 times the width and then minus 2)
Then we know the perimeter of a rectangle is 2(L+w) so
Perimeter = 2(5w-2 + w) = 2(6w-2) = 12w - 4 (so C and D are both correct because they are equal)
We check the other two options manually,
A: 2(5w-2)+2w = 10w-4+2w = 12w - 4 (so A is correct because it equals D which also equals C)
B: w+w+5w+5w-2 = 12w - 2 (which does not equal any of the other options)
So correct answers are A, C and D because they are all equal.
Answer:
If you are solving for v, v= 27 cause 27+9=36 then you subtract 16 from 36 and it equals 20.
Step-by-step explanation:
T is equal to 21, because 1/3 of 21 is equal to 7. To get this answer all you have to do is multiply 7 by 3 to get 21.
He worked 3 8-hour days.
Let x be the number of 8 hour days. Then 10-x is the number of 6 hour days.
8x + 6(10-x) = 66
Using the distributive property,
8x + 6*10 - 6*x = 66
8x + 60 - 6x = 66
Combining like terms:
2x + 60 = 66
Subtract 60 from both sides:
2x + 60 - 60 = 66 - 60
2x = 6
Divide both sides by 2:
2x/2 = 6/2
x = 3