The answer is:
Domain: (-2,0)
Range: (-1,-5)
Answer:
16
This seems to have been miswritten. So I went ahead and just put it as 50, 3 and 2
Explanation:
Okay, so Jack started with 50 chocolates and ended with 2.
The simple way to calculate it would be by realizing that Jack only distributed 48 chocolates. We can find how many times 3 fits into 48 by dividing 48÷3=16.
Using algebra, we substitute the value we want to find with x. Here what we want to find is the number of friends that were at Jack's party.
We know that he started with 50 chocolates, then distributed 3× the number of friends present (which is x).
We write that down as 50−3x
(It's minus because when chocolates are distributed, Jack is taking away from what he has.)
We know that after this, there were only 2 chocolates left, so it's
50−3x=2
Then we proceed by moving all the numbers to the right until only x is left:
<span>−3x=2−50</span>
<span>−3x=−48</span>
<span>x=<span><span>−48</span><span>−3</span></span></span>
<span>x=16</span>
Conclusion: The number of people that attended the party was 16.
Answer:
C) both
Step-by-step explanation:
-4x+7=2y-3
Plug in
(2,1)
-4(2) +7 = 2(1)-3
-8 + 7 = 2 - 3
-1 = -1
So (2,1) is the solution
(5,-5)
-4(5) +7 = 2(-5)-3
-20 + 7 = -10 - 3
-13 = -13
So (5,-5) is the solution
Answer:
C) both
Answer:
f^-1(x) = 4x^2 -3 . . . . x ≤ 0
Step-by-step explanation:
Interchange x and y, then solve for y.
x = -1/2√(y+3)
-2x = √(y +3)
4x^2 = y +3
4x^2 -3 = y
Note that the range of the function f(x) is f(x) ≤ 0, so this will be the domain of the inverse function. Then the inverse function is ...
f^-1(x) = 4x^2 -3 . . . . for x ≤ 0
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The attached graph shows this inverse function is a reflection of the function across the line y=x, as it should be.
