Answer:
Answers are below
Step-by-step explanation:
The maximum is π/6. The minimum is 5π/6.
I graphed the equation below, so you can see where I got my answers.
Answer:
Step-by-step explanation:
We have given:
√2x+3 - √x+1 = 1
First of all isolate the square root of the left hand side:
√2x+3 = √x+1 +1
Now take square on both sides.
(√2x+3)^2 = (√x+1 +1)^2
Open the R.H.S by squaring formula.
∴(a+b)^2 = a^2+2ab+b^2
2x+3 = (√x+1)^2 + 2(√x+1)(1)+(1)^2
2x+3 = x+1 +2√x+1 +1
2x+3 = x+2 +2√x+1
Combine the like terms:
2x-x+3-2 = 2√x+1
x+1 = 2√x+1
Take square on both sides
(x+1)^2 = (2√x+1)^2
x²+2x+1 = 4x+4
x²+2x-4x+1-4 = 0
x²-2x-3 = 0
Now solve the quadratic equation:
a = 1 , b= -2 , c = -3
x = -b+/-√b²-4ac/2a
x = -(-2)+/-√(-2)² - 4(1)(-3) / 2(1)
x = 2 +/- √4+12 / 2
x = 2+/- √16/2
x = 2+/- 4 /2
x = 2+4/2 , x = 2-4/2
x = 6/2 , x = -2/2
x = 3 , x = -1
The solutions we get is (3, -1).
The one missing is the fourth choice.
As you can see, the x axis stands for the weight, and the y axis the total cost.
You can see that the point, (1, 4) definitely exists.
So basically it would be 1 pound of cheese for four dollars, since x is weight and y is total cost.
You can see the fourth choice states that it's four dollars for one pound of cheese.
Hope this helped :)
The answer would have to be 1.
Answer:
$6.39
Step-by-step explanation
well, 20% of $30 is $6, so then you just have to add on the tax, which is 39 cents, coming to $6.39