I do not understand how to do this problem. I am very confused and need help. x-3/2x+4=-1/2
1 answer:
X - 
x + 4 = - 
First, simplify
to 
/ Your problem should look like: x - + 4 = -
Second, simplify x - + 4 to 
+ 4 / Your problem should look like: 
+ 4 = 
Third, regroup terms. / Your problem should look like: 4 -
= -
Fourth, multiply both sides by 2. / Your problem should look like: 8 - x = -1
Fifth, subtract 8 from both sides. / Your problem should look like: -x = -1 - 8
Sixth, simplify -1 - 8 to -9. / Your problem should look like: -x = -9
Seventh, multiply both sides by -1. / Your problem should look like: x = 9
Answer: x = 9
First, simplify
Second, simplify x -
Third, regroup terms. / Your problem should look like: 4 -
Fourth, multiply both sides by 2. / Your problem should look like: 8 - x = -1
Fifth, subtract 8 from both sides. / Your problem should look like: -x = -1 - 8
Sixth, simplify -1 - 8 to -9. / Your problem should look like: -x = -9
Seventh, multiply both sides by -1. / Your problem should look like: x = 9
Answer: x = 9
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Answer:
Standard Form Equivalent Form Extreme Values
y=x^2-6x+17 (x-3)^2+8 (3,8)
y=x^2+8x+21 (x+4)^2+5 (-4,5)
y=x^2-16x+60 (x-8)^2-4 (8,-4)
Step-by-step explanation:
1) Standard form:
y=x^2-6x+17
Equivalent Form:
Can be found using completing the square method.
So, Equivalent form is: (x-3)^2+8
Extreme value:
Extreme values are basically the minimum and maximum value of the function.
Minimum Value will be found by finding derivative of the function:
The derivate is: 2x-6
Now, put the derivate equal to zero: 2x-6 = 0
Maximum value can be found by putting minimum value in the given function:
Put x = 3 and solve:
So, the extreme values is: (3,8)
2) Standard form:
y=x^2+8x+21
Equivalent Form:
Can be found using completing the square method.
So, Equivalent form is: (x+4)^2+5
Extreme value:
Extreme values are basically the minimum and maximum value of the function.
Minimum Value will be found by finding derivative of the function:
The derivate of x^2+8x+21 is: 2x+8
Now, put the derivate equal to zero:
So, minimum value is: -4
Maximum value can be found by putting minimum value in the given function:
Put x = -4 and solve:
So, Maximum value is: 5
So, the extreme values is: (-4,5)
3) Standard form:
y=x^2-16x+60
Equivalent Form:
Can be found using completing the square method.
So, Equivalent form is: (x-8)^2-4
Extreme value:
Extreme values are basically the minimum and maximum value of the function.
Minimum Value will be found by finding derivative of the function:
The derivate of x^2-16x+60 is: 2x-16
Now, put the derivate equal to zero:
So, minimum value is: 8
Maximum value can be found by putting minimum value in the given function:
Put x = 8 and solve:
So, Maximum value is: -4
So, the extreme values is: (8,-4)