Find the critical points of f(y):Compute the critical points of -5 y^2
To find all critical points, first compute f'(y):( d)/( dy)(-5 y^2) = -10 y:f'(y) = -10 y
Solving -10 y = 0 yields y = 0:y = 0
f'(y) exists everywhere:-10 y exists everywhere
The only critical point of -5 y^2 is at y = 0:y = 0
The domain of -5 y^2 is R:The endpoints of R are y = -∞ and ∞
Evaluate -5 y^2 at y = -∞, 0 and ∞:The open endpoints of the domain are marked in grayy | f(y)-∞ | -∞0 | 0∞ | -∞
The largest value corresponds to a global maximum, and the smallest value corresponds to a global minimum:The open endpoints of the domain are marked in grayy | f(y) | extrema type-∞ | -∞ | global min0 | 0 | global max∞ | -∞ | global min
Remove the points y = -∞ and ∞ from the tableThese cannot be global extrema, as the value of f(y) here is never achieved:y | f(y) | extrema type0 | 0 | global max
f(y) = -5 y^2 has one global maximum:Answer: f(y) has a global maximum at y = 0
Answer:
1. x= -56.25
Expand
19.5-6.5x+36=201-4.5x-33
Simplify
-6.5x+55.5=201-4.5x-33
Simplify again
6.5x+55.5=-4.5x+168
Add 6.5 to both sides
55.5=-4.5x+168+6.5x
Simplify
55.5=2x+168
Subtract
55.5-168=2x
Simplify
112.5=2x
Divide both sides by 2
−112.5÷2 = x
Simplfy
x = -56.25
2. x > -7 ÷ 4
Or
Decimal Form: -1.75
Remove parentheses
12x>4x+5−19
Simplify
12x>4x-14
Subtract
12x-4x>-14
Simplify
8x>-14
Divide both sides by 8
x > -14 ÷ 8
Simplify
x > -7 ÷ 4
Or
Decimal Form: -1.75
3. Answer: Step 2 has an error
Step-by-step explanation:
Given equation,
2(10 - 13x) = -34x + 60
By distributive property,
20 - 26x = -34x + 60
Now, we need to isolate x on the left side of the equation,
For this we need to eliminate constant term from the left side,
20 will be eliminated by subtracting 20 from both sides ( subtraction property of equality )
I.e. Step 2 has an error,
We need to use subtraction property of equality instead of using addition property of Equality,
Note : The correct steps would be,
Step 2 : 20 - 26x = -34x + 60 ( Subtraction property of equality )
Step 3 : 8x = 40 ( addition property of Equality )
Step 4 : x = 5 ( Division Property of Equality )
Hope this helps!!! Good luck!!! ;)
Answer:
4
or 4.75
Step-by-step explanation:
first we're going to convert the number into improper fractions.
7
= 
and 2= 
For subtracting it is suitable to adjust both fractions to an equal denominator, so we're going to multiply x2, it'll equal the same number.
So now we have 
-, 30-11= 19.
simplified is, 4.
As you can see I also added 4.75 as an answer, that's if the answer must be a decimal.
I hope this helps you!
The answer is B.<span>1/6 turn counterclockwise.</span><span> why? well it is moving to the left and the clock moves to the right not the the left so that means it is counter clockwise. now to find out if it is 1/3 or 1/6 the circle has 360 degrees, and we already moved 60 so how much is 60 from 360 divide to find out 360/60=6. and since it is only one part it is 1/6 so B is your answer.</span>
Answer:
In the last task, the result is 17+3x/6
Step-by-step explanation:
X+5/3 - 2x-7/6 + x/2
2(x+5)-(2x-7)+3x <em>/</em><em>6</em>
2x+10-2x+7+3x <em>/</em><em>6</em>
17+3x/6
I dunno this task above, I hope this one is correct :))
