(x+6)^(1/2)-5=x+1
(x+6)^(1/2)=x+6
((x+6)^(1/2))^2=(x+6)^2
x+6=x^2+12x+36
0=x^2+11x+30
(-11+(11^2-4(1)(30))^(1/2))/2
(-11+((1)^(1/2))/2
(-11+1)/2=-5
(-11-1)/2=-6
((-6)+6)^1/2-5=(-6)+1
(0^(1/2))-5=-5
-6 is non-extraneous
((-5)+6)^1/2-5=(-5)+1
(1^1/2)-5=-4
1-5=-4
-4=-4
-5 is non-extraneous
Answer:
32
Step-by-step explanation:
First, combine like terms
4x+7=6x-9
+9 +9
4x+16=-9
-16 -16
Then divide by four to isolate x
4x=-25
x=-6.25
Plug in X to get the angle measure .
Given:
The recipe calls for
cup of strawberries for each gallon of lemonade.
Tia has 6 cups of strawberries.
To find:
The number of gallons of lemonade she can make.
Solution:
We have,
cup of strawberries for = 1 gallon of lemonade
cup of strawberries for =
gallons of lemonade
=
gallons of lemonade
=
gallons of lemonade
cup of strawberries for =
gallons of lemonade
=
gallons of lemonade
=
gallons of lemonade
Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.
- Quadratic Formula:
, with a = x^2 coefficient, b = x coefficient, and c = constant
With our equation, plug in the values:

Next, solve the exponent and multiplications:

Next, solve the subtraction:

Next, factor out i (i = √-1):

Next, solve the square root:

Lastly, divide and <u>your answer is:</u>
